Blog Feed: Mathematics and Multimedia

Sketchometry: A Geometry App To Watch Out For

Published on 2012-07-06 03:41:28

Sketchometry is another promising mathematics web application that we should watch out for.  It is a free (at least for now) Euclidean geometry web app with a minimal user interface that lets users sketch geometric drawings and plot graphs. What … Continue reading →

The Math and Multimedia Carnival is back

Published on 2012-07-04 08:33:17

The Mathematics and Multimedia Blog Carnival has been inactive for the past two months, but it’s back. This month, the 22nd edition will be hosted by Colleen Young at Mathematics, Learning and Web 2.0.  You may submit your entry in … Continue reading →

Design your Own Mandelbrot Set

Published on 2012-07-02 10:36:21

Last Friday, a Facebook friend shared about a Mandelbrot set interactive application which might be useful to advanced mathematics students. The online app can be used to explore the Mandelbrot set. The user can change the colors and the number of iterations. … Continue reading →

Can you solve the hardest Sudoku puzzle yet?

Published on 2012-06-30 16:52:48

Arto Inkala, a Finnish mathematician, claims to have created the most difficult Sudoku puzzle yet. According to Inkala, it took him three months to finish the construction of the puzzle. Sudoku is a number placement puzzle. The objective of the … Continue reading →

Quarter in Review – The Most Popular Posts

Published on 2012-06-29 16:38:07

The second quarter of the year has ended — time flies fast indeed. Below are Math and Multimedia‘s most popular posts in the second quarter of 2012. Mathematics and Mathematics Teaching 7 Extraordinary Mathematicians You Should Know About Mathematics and … Continue reading →

Month in Review – June 2012

Published on 2012-06-28 16:23:23

It’s a rainy Friday morning here in Metro Manila. Before I prepare breakfast, here are the Mathematics and Multimedia posts for June 2012 in case you missed some. 10 Reasons Why Mathematics Teachers Should Blog GeoGebra introduces Chrome App An … Continue reading →

10 Reasons Why Mathematics Teachers Should Blog

Published on 2012-06-27 04:39:56

If you are a mathematics teacher (or even a teacher of any subject), and there are more than 181 million bloggers all over the world, then maybe it’s high time to start one. With that many bloggers, it shouldn’t be that … Continue reading →

GeoGebra introduces Chrome App

Published on 2012-06-25 23:53:24

GeoGebra has recently released its Chrome App, an application that can be added as a Google Chrome extension.  This means that you can open GeoGebra using the Google Chrome browser even if it is not installed in your computer. In addition, … Continue reading →

An Open Letter to New Teachers

Published on 2012-06-24 03:07:36

Two weeks ago, I shared to you about A Mathematician’s Lament, an essay by Paul Lockhart about the mishaps of teaching in K-12 Mathematics. In this post, I’m going to share to you about an open letter to new teachers, … Continue reading →

A Proof that the Vertex Angle Sum of a Pentagram is 180 degrees

Published on 2012-06-23 01:24:23

The pentagram is a five pointed star. It was used by the ancient Greeks as a symbol of faith.  In this post, we exhibit the mathematics of pentagrams — we show that the sum of the angle measures of its … Continue reading →

GeoGebra launches official blog and more

Published on 2012-06-21 16:56:07

To all GeoGebra fans out there, GeoGebra has recently launched its official blog. The blog will contain news, tricks, tips, and everything about GeoGebra. According to the administrator, guest posts are expected from GeoGebra bloggers all over the world. I … Continue reading →

7 Extraordinary Mathematicians You Should Know About

Published on 2012-06-20 04:44:26

There are numerous mathematicians who have made significant contributions in the field of mathematics. We cannot argue the mathematical greatness of Euclid, Newton, Gauss, Euler, and others who have set the foundation to the many branches of mathematics. In this … Continue reading →

Visualizing the Difference of Two Squares

Published on 2012-06-18 09:10:25

Geometric objects are powerful representations that can be used to visualize algebraic properties of mathematical objects. Proofs without words are examples of such visual representations. In this post, we relate the difference of two squares to the areas of squares … Continue reading →

Math Teachers at Play Carnival 51 at Math Mama Writes

Published on 2012-06-16 19:46:59

Math Mama Writes has a staggering collection of 51 articles from the blogosphere for 51st edition of the Math Teachers at Play Blog Carnival. I particularly liked the opening trivia about 51. I’m a pentagonal number,  I have just two … Continue reading →

Triangular Numbers and the Sum of the First n Positive Integers

Published on 2012-06-16 05:00:51

The numbers 1, 3, 6, 10, 15, … are called triangular numbers because they could be arranged in the form of triangles. Triangular numbers is one of the polygonal numbers – numbers that can represented by dots to form regular polygons. Finding … Continue reading →

Millenium Prize Problems: Problems Worth $1M Each

Published on 2012-06-15 21:37:40

On May 24, 2000, the Clay Mathematics Institute established seven Prize Problems. These problems are called the Millenium Prize Problems.  A solution to each unsolved problem is worth $1 000 000 dollars. These problems are P versus NP Hodge conjecture Poincaré … Continue reading →

A Mathematician’s Lament

Published on 2012-06-12 07:36:02

A Mathematician’s Lament is a critique written by Paul Lockhart on how K-12 mathematics is taught. I have read this essay ages ago, but I didn’t have the chance to share it.  I recommend this reading to all mathematics teachers. … Continue reading →

Off topic: Well done, Manny Pacquiao

Published on 2012-06-11 09:12:14

Congratulations Manny Pacquiao for a job well done. You have done your best. You have fought hard and well. You have also shown how great you are as a person by accepting the loss wholeheartedly. In all fairness, Timothy Bradley … Continue reading →

Where is the Nobel Prize in Mathematics?

Published on 2012-06-10 07:32:13

The Nobel Prize are prestigious awards given each year to individuals (as well as organizations) who have contributed significantly in cultural and scientific advances. Alfred B. Nobel, the inventor of dynamite, bequeathed 31 million Swedish kronor in 1895 (about 250 … Continue reading →

Deceptive and Misleading Mathematical Patterns

Published on 2012-06-09 03:41:04

In the Mathematical Palette, I have mentioned about mathematics as a science of patterns.   I have highlighted that some mathematical patterns are obvious, some can be solved mathematically, and some are a bit counter-intuitive. In reality, we have improved our way … Continue reading →

GeoGebra 5.0 Beta Release, now available

Published on 2012-06-08 04:26:07

To all GeoGebra fans out there, the GeoGebra 5.0 Beta release is now available. The most prominent feature of GeoGebra 5.0 is its 3d environment. You can download the webstart version here and the portable version here. If you find … Continue reading →

Why is the slope of a vertical line undefined?

Published on 2012-06-06 18:56:57

The slope of a vertical line is its “rise over run.” Given any “slanting” line, we can take any two points and form an equilateral triangle. The rise of the line is the length of the vertical side of the … Continue reading →

Mathematical Proofs Galore

Published on 2012-06-05 08:54:56

I have written quite a number of articles on mathematical proofs, so I want to summarize them in this post.  Most of these proofs are high school level, so students who are mathematically inclined are encouraged to read them. Proof … Continue reading →

Embedding Wolfram Demonstrations

Published on 2012-06-03 22:58:08

Last August 2011, I have shared about Wolfram’s computational document format, a technology that enables embedding of Wolfram Demonstrations on documents. These documents can be read using the Computational Document Format  (CDF) player which can be downloaded for free. Recently, Wolfram has … Continue reading →

FooPlot: An Easy to Use Online Graphing Tool

Published on 2012-06-03 09:52:50

FooPlot is an online HTML5 graphing calculator that supports graphing of polynomial, trigonometric, and hyperbolic functions. It can also be used in plotting piecewise functions, parametric functions, and polar graphs. Graphs created with FooPlot are considered as public domain files. … Continue reading →

Prime or Not: Determining Primes Through Square Root

Published on 2012-06-02 09:30:43

A prime number is a number that is divisible only by 1 and itself. A number that is not prime is composite. To determine whether a number is prime or not, we have to divide it by all numbers between … Continue reading →

Mathematical Proofs Without Words: What are they?

Published on 2012-06-01 08:32:23

In  Proof of the Sum of Square Numbers, I have mentioned about proof without words. Some of you are probably wondering what they are, so I will discuss in detail. Proof without words are diagrams or pictures that help readers … Continue reading →

Month in Review – May 2012

Published on 2012-05-30 10:59:51

Good day to all! In case you missed anything this month, here are the complete list of posts for May 2012. 39 Gorgeous Data Visualization Software Proof of the Sum of Square Numbers Counting the Number of Squares on a … Continue reading →

Blog Makeover — No More Infolinks Ads

Published on 2012-05-28 16:38:12

If you have noticed Mathematics and Multimedia is less messy. I’ve been “rearranging” the contents and widgets  to facilitate better and more comfortable reading. I’ve also removed Infolinks advertisements. My other blogs will soon follow. Happy reading!

39 Gorgeous Data Visualization Software

Published on 2012-05-28 10:15:53

I learned recently from Math 2.0 about DataVisualization.CH, a site that creates as well as collects software and applications for data visualization and infographics.   The software on the site are categorized into three: maps, charts, and data. Mathematics teachers should definitely check … Continue reading →

Proof of the Sum of Square Numbers

Published on 2012-05-26 21:35:00

Yesterday, we have counted  the number of squares on a chessboard, and we have discovered that it is equal to the sum of the squares of the first 8 positive integers. We call these numbers square numbers. So, the first 4 … Continue reading →

Counting the Number of Squares on a Chess Board

Published on 2012-05-26 02:12:33

Chess is one good source of puzzles and mathematical problems.  In this post, we discuss one of the most basic problems in chess:  Counting the number of squares on the chessboard. How many squares are there in a standard chessboard … Continue reading →

Happy Birthday, Markus Hohenwarter

Published on 2012-05-24 09:00:01

Happy Birthday to Markus Hohenwarter! THANK YOU for creating GeoGebra and for your works in mathematics education.

Microsoft Mathematics Tutorial 7 – The Ink Input

Published on 2012-05-22 16:48:57

This is the seventh tutorial in the Microsoft Mathematics Tutorial Series. In this post, we learn how to use the Ink input of Microsoft Mathematics. Microsoft Mathematics has handwriting support that enables users to write problems and solve equations using … Continue reading →

Using Similarity to Prove the Pythagorean Theorem

Published on 2012-05-20 16:01:22

The Pythagorean Theorem is one of the most interesting theorems for two reasons: First, it’s very elementary; even high school students know it by heart. Second, it has hundreds of proofs. The proof below uses triangle similarity. Pythagorean Theorem In a … Continue reading →

Are all infinities created equal?

Published on 2012-05-19 17:23:05

A one-minute explanation that not all infinities are equal. The video shows that the number of real numbers from 0 to 1 is  greater than the number of all natural numbers 1, 2, 3, 4, and so on. If the … Continue reading →

GeoGebra 4.0 Tutorials, MTAP 50, and more

Published on 2012-05-19 02:05:56

The Math Teachers at Play Carnival 50 is now live at Mathematics for Teaching. Due to busyness, the Math and Multimedia Blog Carnival  will have a break this month — unless someone volunteers to host it before the end of … Continue reading →

The 10 Misfortunes of Evariste Galois

Published on 2012-05-17 09:41:12

If you think you’re unfortunate, you should read the biography of Evariste Galois, a mathematical genius who was one of the founders of group theory. He lived during a political turmoil in France, and his life was filled with bad … Continue reading →

A Simple Proof of the Arithmetic Mean Geometric Mean Inequality

Published on 2012-05-15 23:52:31

Last February, we have used area to prove the Arithmetic Mean – Geometric Mean Inequality (AM-GM Inequality). In this post, we show a simpler proof.

Microsoft Mathematics Tutorial 6 – The Unit Converter

Published on 2012-05-12 18:51:42

This is the 6th tutorial in the Microsoft Mathematics Tutorial Series. In this post, we discuss how to use the Unit Converter of Microsoft Mathematics. Microsoft Mathematics has a built-in unit converter that allows conversion of different types of measurements.  It … Continue reading →

Off Topic: Enjoying Baguio City

Published on 2012-05-10 08:08:15

You are probably wondering why my blogs are silent these past four days. Well, I am currently in Baguio City (for the nth time), the summer capital of the Philippines, attending a seminar — this time, I’m the participant.  Before … Continue reading →

Week in Review 1 – May 2012

Published on 2012-05-06 02:12:21

Good day everyone.  To those who have not catch up with Math and Multimedia’s latest posts, here are this week’s list of posts. Another Proof of the Sum of the First n Positive Integers Microsoft Mathematics Tutorial 5 – The … Continue reading →

Mathematics and Multimedia Miscellany 1

Published on 2012-05-05 05:25:42

This is the first edition of Math and Multimedia Miscellany (MMM). MMM will contain technology news, interesting math articles, miscellaneous announcements, and other stuff that I cannot include in regular posts. *** Erlina R. Ronda has currently created an e-library, a … Continue reading →

The Proof of the Tangent Half-Angle Formula

Published on 2012-05-02 16:22:47

In this post, we prove the following trigonometric identity: . Proof Consider the semi-circle with “center” and diameter and radius equal to 1 unit as shown below.  If we let , then by the Inscribed Angle Theorem, . Draw perpendicular … Continue reading →

Guest Post: 10 Simple Ways to Teach Kids Math in the Kitchen

Published on 2012-05-01 14:04:56

Little learning opportunities for some extra education can be found everywhere for parents and children alike. If you’re trying to teach your preschooler some basic math functions, or helping your young mathematician sharpen her skills, you may need look no … Continue reading →

Microsoft Mathematics Tutorial 5 – Using the Triangle Solver

Published on 2012-04-30 22:08:38

This is the 5th tutorial in the Math and Multimedia’s Microsoft Mathematics Tutorial Series.  In this post, we use the Triangle Solver to construct triangles with specified side lengths and/or angle measures. The Triangle Solver is very useful in constructing … Continue reading →

Another Proof of the Sum of the First n Positive Integers

Published on 2012-04-29 16:24:46

We have discussed how Gauss was able to devise  a clever way to add the first positive integers at a very young age in a few minutes. We generalized his method and have also seen the link between the sum and the … Continue reading →

Month in Review – April 2012

Published on 2012-04-28 11:08:11

Hi everyone. We didn’t have Weeks in Review for the whole month, so here is the summary of posts for April 2012. Guest Post: Realizing The Benefits Of Digital Textbooks – Without A Tablet In Sight Google Drive: 5GB of … Continue reading →

Guest Post: Realizing The Benefits Of Digital Textbooks – Without A Tablet In Sight

Published on 2012-04-27 18:39:53

There’s no question that digital textbooks are the newest craze when it comes to classroom technology. Thanks to the success of the newest iPad, the contracts signed between Apple and major publishers, and the cost advantages of digital versions over time, teachers … Continue reading →

Google Drive: 5GB of Free Online Storage

Published on 2012-04-25 11:02:56

I have been a user of Dropbox for almost a year now, and I am extremely happy  about it.  Today, Google introduces Google Drive, another Dropbox-like free online storage. Google Drive offers 5GB of free storage or paid upgrades. The … Continue reading →

UP Union Civil Service Review Answer Keys (Off topic)

Published on 2012-04-24 22:58:58

To all reviewees who attended the Philippine Civil Service Review last March, attached are the review questionnaires and the answer keys.  The files are encrypted with the password I gave you during my lecture. Exercises 1 – 4 Exercises 5 … Continue reading →

Mathematics and Multimedia Blog Carnival 22

Published on 2012-04-23 20:09:21

To all Math Blog Carnival lovers, the 22nd edition of the Mathematics and Multimedia Blog Carnival is now online at Math is Not a Four Letter Word. To those who missed the previous carnivals, you may want to check them … Continue reading →

Wedding Guests and Circular Permutations

Published on 2012-04-21 23:05:20

In a wedding banquet, guests are seated in circular table for four. In how many ways can the guests be seated? We have learned that the number of permutations of objects on a straight line is . That is, if … Continue reading →

GeoGebra Conference, Korea — You’re invited!

Published on 2012-04-20 15:36:02

To all GeoGebra users and trainers, there will be a GeoGebra ICME Pre-Conference at Coex, Seoul, South Korea on July 12, 2012. The deadline for submission of abstracts and presentations is on May 1, 2012 and the registration deadline is … Continue reading →

Divisibility by 9

Published on 2012-04-19 08:56:21

This is the 8th part of the Divisibility Rules Series.  In this post, we discuss divisibility by 9. When 10 is divided by 9, it gives a remainder of 1 since 10 = 9 + 1. Also, 100 divided by … Continue reading →

Mathematics and Perspective

Published on 2012-04-15 11:10:51

Although they say that mathematics is the most precise among the sciences, most of the time, it is still a matter of perspective. See what I mean? *** Photos by 9Gag.com

Microsoft Mathematics Tutorial 4 – Plotting Graphs

Published on 2012-04-14 16:54:03

This is the fourth tutorial of the Microsoft Mathematics Tutorial Series. In this tutorial, we learn how to plot 2 and 3 dimensional Cartesian graphs and 2 dimensional polar graphs.  We also learn how to modify the settings of the … Continue reading →

Blog carnivals and other updates

Published on 2012-04-10 15:38:37

The Blog Carnivals The Mathematics and Multimedia Blog Carnival is now accepting entries for its 22nd edition. You may submit your entries to carnival@mathfour.com or the carnival submission form on or before April 14, 2012.  The carnival will be hosted by Math … Continue reading →

279 Math Applets for Teaching and Learning

Published on 2012-04-09 15:44:22

Manipula Math with Java is a Japanese website that has an excellent collection of Java applets that can be used for teaching and learning mathematics.  There are 279 applet collections divided into the following categories: Middle School, Trigonometry, Vector, Calculus, Complex … Continue reading →

Guest Post – Mega Millions Lottery Jackpot Winners Beat the Odds

Published on 2012-04-09 03:56:11

Three Mega Millions lottery tickets successfully matched all 5 number draws and the Mega Ball pick in the March 30 draw, earning them each one third of the $656 million jackpot. It is reported that over 1.5 billion Mega Million … Continue reading →

MandelBulber: A 3D Fractals Software

Published on 2012-04-06 21:56:01

If you are studying fractals, you may want to check out Mandelbulber, a software that renders 3D Mandelbrot fractals. Several of the supported 3d fractals by Mandelbulber are Mandelbulb, Mandelbox, BulbBox, JuliaBulb, Menger Sponge, Quaternion, Trigonometric, Hypercomplex, and Iterated Function Systems … Continue reading →

Some Quarterend Updates

Published on 2012-04-05 10:43:33

Hi everyone. Here are the few announcements and updates 30 minutes before Good Friday. The Mathematics and Multimedia Carnival is now accepting entries for its 22nd edition. The carnival will be hosted by Math is Not a Four Letter Word. … Continue reading →

Why Every Proof that 0.999… = 1 is Wrong

Published on 2012-04-05 06:03:08

The proof made me look at the ceiling (lol). It sounded very convincing for a few seconds. Watch and watch closely til the end.

Counting the Number of Subsets in a Set

Published on 2012-04-05 00:00:00

Problem: How many groups can be formed from 5 persons? First, we represent the persons by small letters a, b, c, d, and e, and we denote a group whose members are c and d as {c, d}. We can … Continue reading →

Blog Carnival Submission Form

Published on 2012-04-04 06:21:57

Due to the frequent down time of BlogCarnival.com, I created my own Carnival Submission Form using Google Docs (inspired by Denise). You may now use the form to submit your entries for the 22nd edition (and future editions) of the … Continue reading →

Newton’s notebooks, now online

Published on 2012-04-02 07:22:01

Cambridge University has recently made some of Isaac Newton’s important notebooks and papers online.  The collection includes his Trinity College Notebook, Waste Notebook where he developed most of calculus concepts,  Laboratory Notebook, Principia Mathematica, and several of his notes in mathematics, hydrostatics, … Continue reading →

Microsoft Mathematics Tutorial 3 – Equations and Inequalities

Published on 2012-03-31 20:34:40

This is the third tutorial of the Microsoft Mathematics Tutorial Series.  The first tutorial is about the Introduction to the User Interface and the second tutorial is about Peforming Basic Numerical Computation. Aside from being a scientific calculator, Microsoft Mathematics … Continue reading →

Latex in Blogger: Another Alternative

Published on 2012-03-29 16:25:18

Last year, I shared about writing latex in Blogger using Watchmath. Sadly, the server has been offline for a very long time.  I have also shared  about a Free Online Latex generator at Codecogs.com, a good alternative. Codecogs.com has a WYSIWYG environment. … Continue reading →

Quarter in Review – The Most Popular Posts

Published on 2012-03-29 04:36:04

It’s almost the end of the first quarter of 2012. It’s a very busy week, so no time to write this week. Anyway, in case you missed reading some articles, here are the most popular posts for this quarter. The … Continue reading →

A US President’s Proof of the Pythagorean Theorem

Published on 2012-03-25 11:01:39

James Garfield, the 20th president of the United States, came up with an original proof of the Pythagorean Theorem in 1876 when he was still a Congressman. His proof was published in New England Journal of Education. Recall that the … Continue reading →

Week in Review 4 – March 2012

Published on 2012-03-24 11:06:17

Mathematics and Multimedia Microsoft Mathematics Tutorial 2 – Performing Basic Computations Using Latex in Gmail Creating Open-Ended Math Problems Math and Multimedia Carnival 21 Would you have given a different mark? Numberphile: Videos about Number Facts and Trivia More Articles … Continue reading →

Numberphile: Videos About Number Facts and Trivia

Published on 2012-03-24 01:07:21

If you are a lover of numbers, Numberphile might be a good site to visit.  Numberphile contains videos about number facts, trivia, and applications. The video below about leap years is one of my favorites. Numberphile is currently produced by … Continue reading →

Would you have given a different mark?

Published on 2012-03-23 08:07:40

The student who obtained 0% in an exam … and how he did it. Would you have given him a different mark??? Q1. In which battle did Napoleon die? * His last battle Q2. Where was the Declaration of Independence … Continue reading →

Math and Multimedia Carnival #21

Published on 2012-03-21 21:22:58

Welcome to the 21st edition of the Math and Multimedia Carnival!  I hope you enjoy the selection of mathematics-related topics that have been included in the carnival this month, which have either been submitted via the blog carnival submission site, emailed … Continue reading →

Constructing Open-Ended Math Problems

Published on 2012-03-20 11:01:16

We communicate to students what we value through the questions we ask.  If we ask them questions always require them to memorize, then we are implicitly telling them, that mathematics is a science of procedures and formulas. On the other … Continue reading →

Using Latex in Gmail

Published on 2012-03-19 20:35:20

To all math enthusiasts who are using Gmail, you can now use latex code to render mathematical expressions/equations in your email. All you have to do is to install the GmailTeX plugin. Note: The inequality sign in the figure should be … Continue reading →

Microsoft Mathematics Tutorial 2 – Performing Basic Computations

Published on 2012-03-18 11:32:57

This is the second tutorial in the Microsoft Mathematics Tutorial Series.  In this tutorial, we learn how to perform basic mathematical computation using Microsoft Mathematics. There are three parts of Microsoft Mathematics used in numeric  computations: the calculator pad (green … Continue reading →

Week in Review 3 – March 2012

Published on 2012-03-18 00:44:58

A pleasant Sunday to everyone. Before I continue with the list of posts, please be reminded that tomorrow is the deadline of submissions for the 21st edition of the Mathematics and Multimedia Carnival.  Kindly send your post to mathconcepts101@gmail.com. The … Continue reading →

Math Teachers at Play 48

Published on 2012-03-17 05:44:36

The 48th edition of Math Teachers at Play Carnival is now online at Math is Not a Four Letter World.  Bon Crowder, the author, has not run out of ideas yet — this time, she created every sentence with exactly 15 … Continue reading →

10 Tips in Studying School Mathematics

Published on 2012-03-12 11:02:02

I came across with this  presentation by Fiona Jostsons last Sunday. She discusses some tips in ensuring success in school mathematics. I think these practical tips will help students improve their study habits. 10 tips to ensure success in maths! View … Continue reading →

500 Math EBooks — Downloadable and Free!

Published on 2012-03-11 11:02:37

In addition to the Free Math Ebooks (Free Algebra Ebooks, Free Geometry Ebooks, Free Calculus Ebooks) that I have listed before, Ebooks Directory offer 500 mathematics ebooks. I did not have time to verify if all of these ebooks are … Continue reading →

Week in Review 2 – March 2012

Published on 2012-03-10 10:30:51

It’s a sunny Sunday morning here in Manila, and we are starting to feel the heat of summer.  April and May are the  summer months here in the Philippines — the time for beach and swimming. However, to those who … Continue reading →

Microsoft Mathematics Tutorial Series

Published on 2012-03-09 18:22:17

Last year, I have shared to you about Microsoft Mathematics, one of the best free and downloadable graphing calculators that can be used for teaching and learning mathematics. Starting next week, I will be posting step-by-step tutorials on how to use … Continue reading →

The Mathematics of Leap Years Explained

Published on 2012-03-07 22:29:06

Year 2012 is a leap year, so I think it’s timely to talk about it.  The years 2000, 2004, and 2008 are leap years, so you probably see the pattern that years divisible by 4 are leap years.Now, is this … Continue reading →

Posts by Categories

Published on 2012-03-06 10:02:30

I am decluttering Math and Multimedia, so I will be posting list of posts and site maps for the next few days.  This is to address the growing number of posts and to speed up page load. This page will … Continue reading →

GeoGebraWeb: GeoGebra for Tablets and Chrome Books

Published on 2012-03-05 10:10:55

GeoGebra is getting better and better everyday. Recently, it has released GeoGebraWeb Beta, its version for  Tablets and Chromebooks. The version also works in Internet Explorer 9 and recent versions of Chrome, Opera and Firefox. The GeoGebraWeb version of an applet can … Continue reading →

Math Teachers at Play 47

Published on 2012-03-04 10:10:13

The 47th edition of the Math Teachers at Play Blog Carnival is now live at Math Hombre. The Math and Multimedia Carnival is also accepting submissions for its 21st edition. If you have a blog about school mathematics, mathematics teaching, integration of … Continue reading →

Week in Review 1 – March 2012

Published on 2012-03-03 10:02:46

Welcome to another edition of Week in Review. Looks like another busy week is ahead. I will be in Baguio for a 3-day training, so I am not sure if I’ll have the time to write there. For a little … Continue reading →

Divisibility by 8

Published on 2012-03-02 20:02:57

This is the seventh post in the Divisibility Rules Series.  In this post, we will discuss divisibility  by 8. A number is divisible by if the last three digits is divisible by . For example, is divisible by since is … Continue reading →

3D Math Applets Galore at Maths.Net

Published on 2012-03-01 10:01:56

Last year, I have shared about an applet for visualizing isometric views. I found another superb 3d math applets site,  Maths.Net, through Great Maths Teaching Ideas. Maths.net includes applets for exploring prisms, nets, platonic solids, and other 3-dimensional objects. It also includes … Continue reading →

GeoGebra 4.0 Tutorials

Published on 2012-02-29 15:09:43

If you have not visited my GeoGebra tutorials recently, I have updated 21 tutorials to GeoGebra 4.0. GeoGebra 4.0 Essentials Series GeoGebra 4.0 Essentials 1 – Locating the Triangle’s Centroid GeoGebra 4.0 Essentials 2 – Constructing a Rectangle GeoGebra 4.0 … Continue reading →

Divisibility by 7 and Its Proof

Published on 2012-02-29 05:58:23

This is the 6th post in the Divisibility Rules Series.  In this post, we discuss divisibility by 7. Simple steps are needed to check if a number is divisible by 7. First, multiply the rightmost (unit) digit by 2, and … Continue reading →

New Archive Page, Language Translation, and more

Published on 2012-02-27 21:00:57

Hi everyone. Here are some few updates and announcements: Due to the growing number of posts, I have created an archive page where the complete list of posts are arranged by month. If you want to view the posts by category, … Continue reading →

GeoGebra Tutorial 33 – Lunes and Layers

Published on 2012-02-26 10:10:12

This is the 33rd tutorial of the GeoGebra Intermediate Tutorial Series. If this is your first time to use GeoGebra, I strongly suggest that you read the GeoGebra Essentials Series. In this tutorial, we are going to draw the figure below, the Lunes … Continue reading →

Week in Review – February 2012 Week 4

Published on 2012-02-25 22:41:23

Mathematics and Multimedia Math and Mutlimedia Carnival 20 An Intriguing Number Pattern Problem Create Polyhedra with Antiprism Using Paper Folding to Introduce the Notion of Proof My Other Blogs Tessellations and M.C. Escher at Math Palette Mathematics: The Science of Patterns at Math … Continue reading →

Using Paper Folding to Introduce the Notion of Proof

Published on 2012-02-25 04:46:56

Two years ago, I worked as part-time geometry instructor in a technical school near our university.  Most of the students in that school were quite clueless about the notion of proofs, so I tried to find ways to introduce proofs … Continue reading →

Create Polyhedra with Antiprism

Published on 2012-02-21 15:45:09

Last year, I shared about Archimedean, a user-friendly software in exploring solids and polyhedra.  If you want to create polyhedra with a little bit of challenge, you may want to try Antiprism.  Antiprism is a set of command line programs … Continue reading →

An Intriguing Number Pattern Problem

Published on 2012-02-20 16:21:07

Somebody forwarded this math puzzle several days ago. Believe me it is quite challenging, especially for the math majors.  :-)  To those who want to exercise their brain muscles, you may want to check this out. 8809=6 7111=0 2172=0 6666=4 … Continue reading →

Math and Multimedia Blog Carnival 20 via GeoGebra Applet Central

Published on 2012-02-19 18:43:50

Welcome to the 20th edition of the Mathematics and Multimedia Blog Carnival. Here are the posts I have collected this month — some from the Blog Carnival site and some from my RSS feed. Before we begin a carnival, let’s have … Continue reading →

Week in Review – February 2012 Week 3

Published on 2012-02-18 10:11:14

Good morning from Baguio City (6 hours from Manila), the summer capital of the Philippines. I am here for a one-day lecture-workshop on “Mathematics as a Way of Thinking” at the AEIRS National Conference. After sleeping for 7 hours,  I … Continue reading →

Using Area to Prove the Arithmetic-Geometric Mean Inequality

Published on 2012-02-16 09:06:33

If we have real numbers and , we call   the arithmetic mean (AM) and  the geometric mean (GM) of and .  In this post, we are going to examine the relationship of these two means. To start off, let’s have … Continue reading →

Heart Graph for the Mathematically In Love

Published on 2012-02-12 10:10:21

It’s the first day of our GeoGebra training tomorrow, so let us celebrate Valentine’s day in advance. To all who are mathematically in love, you can celebrate Valentine’s day by doing the following: Copy this: sqrt(cos(x))*cos(300x)+sqrt(abs(x))-0.7)*(4-x*x)^0.01, sqrt(6-x^2), -sqrt(6-x^2) from -4.5 to 4.5 … Continue reading →

Introduction to the Complex Plane

Published on 2012-02-11 18:29:17

Imaginary numbers had no use when it was invented except for intellectual exploration until it was linked to coordinate geometry.  The complex number can be plotted as the ordered pair where is the real part and is the imaginary part.  Therefore, … Continue reading →

Popularizing Lesson Study

Published on 2012-02-10 09:53:59

The reason that I was away for two days was that I observed the lesson implementation in Nueva Ecija High School (NEHS). It was part of lesson study, one of the components of the 2-year project of our institute and NEHS. … Continue reading →

Carnival 20 deadline of submission

Published on 2012-02-09 04:08:59

The Mathematics and Multimedia Blog Carnival is on its 20th edition and will be posted at GeoGebra Applet Central on February 20, 2012.  If you have a math blog and have written an article about school mathematics, mathematics teaching, or … Continue reading →

New Blog: Mathematical Palette

Published on 2012-02-06 08:15:18

I will be away for three days for a teacher training in Nueva Ecija, a province about a hundred kilometers from Metro Manila, so your inbox will be quiet for about three to four days. However, before the long “vacation,” … Continue reading →

Week in Review – February 2012 Week 1

Published on 2012-02-04 10:01:49

Good afternoon to all.  We have visitors this morning, so I didn’t have the chance to post the weekly summary early.  Anyway, to those who want to catch up with their readings, here are this week’s posts. Mathematics and Multimedia … Continue reading →

Introduction to the Wolfram Education Portal

Published on 2012-02-03 22:13:57

Last year, I posted about Wolfram Alpha and the amazing computational document format developed by Wolfram Research.  Recently, Wolfram Research has opened the Wolfram Education Portal, a site dedicated for storing and sharing dynamic teaching and learning materials.  The portal contains free to … Continue reading →

Free SPSS and Statistics Ebooks

Published on 2012-02-02 18:04:55

To those who are looking for free books on statistics and SPSS, you may want to check out the following books. They are free from BookBoon but requires email subscription (don’t worry, it’s free) before you can download. SPSS: Practically … Continue reading →

Demystifying Complex Conjugates

Published on 2012-02-02 00:52:00

This is the third post in the Complex Numbers Primer.  In the previous post in this series, we have learned that complex numbers can be added and multiplied just like binomials.  We did not discuss subtraction since it follows from … Continue reading →

Guest Post: Vedic Mathematics 3 – Multiplication with a series of 9’s

Published on 2011-07-05 11:01:02

Sanjay Guilati (author) has been teaching computer and mathematics in Bhilai , state Chattisgarh in India for 15 years. Currently he is a  teacher in a senior secondary school and he is also involved in teacher training.  His online work can ̷

Free Downloadable GeoGebra Tutorials in PDF

Published on 2011-07-04 11:01:04

If you want to learn GeoGebra offline, here are the lists of excellent  GeoGebra tutorials in portable document format (PDF).  These materials are free and available for download. I. GeoGebra Workshops from GeoGebra Institute of Ohio WS 1: Intro,

Order of Operations: 360 or 354?

Published on 2011-07-03 11:01:12

Last Saturday, I received  Facebook message from a student asking help to simplify .  He got but his teacher’s answer was . Although the problem above seems simple, a lot of students get confused by it, and in this case, even … Continu

July 2011 Week 1 Post Summary

Published on 2011-07-02 11:02:20

A. Mathematics and Multimedia GeoGebra Sneak Peek 5: The Computer Algebra System How to add a ‘Like us on Facebook’ box on your blog Addition of Coordinates Cleverbot and other talking computers More examples of proof by contradiction Geo

Geometer’s Sketchpad Essentials Series

Published on 2011-07-01 12:01:09

Before I became a GeoGebra user, I had been a user of Geometer’s Sketchpad (GSP version 4.07) for quite some time. Although I am a great fan of GeoGebra, GSP requires more mathematical maturity to use, and in several aspects, … Continue r

More examples of proof by contradiction

Published on 2011-06-30 11:01:39

We have had good discussions on mathematical proofs, so I am planning to create a mathematical proof series that will discuss the basics such as direct proof, indirect proof, and proof by mathematical induction.  But before I do that, let … Co

Cleverbot and other talking computers

Published on 2011-06-29 11:01:10

One of the areas of research in artificial intelligence (AI) is to make computers talk like human beings. A theoretically perfect machine should be able to answer questions that you would mistake it for a human. Several such applications are avail

Addition of Coordinates

Published on 2011-06-28 11:01:04

If we have two points, what will happen if we add their coordinates? If point has coordinates and point has coordinates , then . It seems that there is nothing special about these points, but let us look at their … Continue reading →

How to add a ‘Like us on Facebook’ box on your blog

Published on 2011-06-27 11:01:15

One way to promote your blog is to create a Like us on Facebook box  such as the one shown in the first figure. Readers who ‘Like’ your blog will get updates every time you post a new article, so … Continue reading →

GeoGebra 4.0 Sneak Peek 5: The Computer Algebra System

Published on 2011-06-26 11:01:43

This is the fifth post of the GeoGebra 4.0 Sneak Peek Series. One of the major enhancements of GeoGebra 4.0 is the integration of Computer Algebra System (CAS).  The GeoGebra CAS window can be viewed by clicking the View>CAS from … Continu

June 2011 Week 4 Summary of Posts

Published on 2011-06-25 11:01:41

Here is the list of posts for the fourth week of June 2011. Hope you enjoy reading! I. Mathematics and Multimedia Generating Pythagorean Triples from Square Numbers Are you a good math teacher? The Experimental and Theoretic Probability Series List &

Free Online Latex Generator

Published on 2011-06-24 11:01:38

If you are doing a lot of Latex coding (writing math equations on the web), you may want to check out CodeCogs.com , an excellent WYSIWYG online Latex editor and generator. In CodeCogs, you can write mathematical symbols by simply … Continue re

Irrational Numbers as Decimals

Published on 2011-06-23 18:00:25

Introduction In Rational and Irrational Numbers post, we have discussed that   is irrational.  Aside from its radical form,  using a calculator or a computer, we can approximate its value; for example, . As we can see, irrational numbers can ̷

Gmail asking for password — be careful!

Published on 2011-06-23 01:20:49

When I opened my email this morning, I received an ‘Identity Verification’ email from ‘Gmail’ (verifiesences@gmail.com), which I think is a hoax. The content of this letter is the following. We have received several complaints

What are RSS Feeds?

Published on 2011-06-22 11:01:09

Introduction When you are reading a book, you use a bookmark to mark a page where you stopped or a page which is important to you. This also happens on the web. You probably have an list of  the URLs … Continue reading →

The Experimental and Theoretical Probability Series

Published on 2011-06-21 11:01:59

Last week, we have completed the 5-part Experimental and Theoretical Probability Series. To those who have not read it, below is the list of posts. Experimental and Theoretical Probability Part 1. This post discusses about the sum of the number ̷

You are invited to a GeoGebra Seminar!

Published on 2011-06-20 23:51:56

Title: Seminar-Workshop on Using Geogebra in Teaching and Learning Mathematics Date: August 6, 13, & 20, 2011 (Saturdays) Time: 8:30 – 12AM, 1:00 – 4:30 PM Venue: Teaching and Learning Laboratory, Vidal Tan Hall, UP NISMED DESCRIPTIO

Are you a good math teacher?

Published on 2011-06-20 11:01:33

Here is a list I found in  a research paper about good teaching practices, and I think most of us teachers will agree on these. A good teacher raises questions that give for all students to contribute an answer; makes … Continue reading →

Generating Pythagorean Triples from Square Numbers

Published on 2011-06-19 11:01:25

A figurate number is a number that can be represented by a regular geometrical arrangement of equally spaced points (or circles as shown in the first figure). If the arrangement forms a regular polygon, the number is called a polygonal number. Exam

June 2011 Week 3 Posts Summary

Published on 2011-06-18 11:01:26

Here are the summaries of posts for my three blogs this week. A. Math and Multimedia The GeoGebra 4.0 Sneak Peek Series 5000 free math, physics, and engineering video tutorials and lectures List of Math and Multimedia Carnivals The Seven … Cont

Guest Post: Vedic Mathematics 2 – Squaring Numbers Ending in 5

Published on 2011-06-17 11:01:02

Sanjay Guilati (author) has been teaching computer and mathematics in Bhilai , state Chhattisgarh in India for 15 years. Currently he is a  teacher in a seniorsecondary school and he is also involved in teacher training.  Sanjay is the writer of &

Exploring the Universe with WorldWide Telescope

Published on 2011-06-16 11:01:43

If you have enjoyed exploring Earth with Google Earth and the stars with Stellarium, another stunning program  that you should see is the Worldwide Telescope.  WorldWide Telescope (WWT) enables your computer to function as a virtual telescope, bri

GeoGebra 4.0 Sneak Peek 4: Graphing Inequalities

Published on 2011-06-15 11:01:16

The long wait is over. GeoGebra 4.0 can now graph inequalities as shown in Figure 1. You can construct the graph above by typing the following in the Input bar pressing the ENTER key after each inequality. The symbol

The Seven Bridges of Königsberg

Published on 2011-06-14 11:01:04

The city of  Königsberg, Prussia (now Kaliningrad, Russia) was set on both sides of the Pregel river.  There were two islands on the river and there were seven bridges connecting them and the main land as shown in Figure 1. … Continue readin

List of Math and Multimedia Carnivals

Published on 2011-06-13 11:01:51

The Math and Multimedia Carnival 12 is now live at Mathematics for Teaching.  The Carnival is now one year old, and the complete list is shown below. Carnival 1 at Math and Multimedia Carnival 2 at Math and Multimedia Carnival … Continue readi

5000 free math, physics, and engineering video tutorials and lectures

Published on 2011-06-12 11:01:30

Here are the collections of sites with math, physics, engineering, and other sciences video tutorials.  Some sites also contains non-science videos as well. If you find a site with more than 50 videos, please inform me so I could  include … C

The GeoGebra 4.0 Sneak Peek Series

Published on 2011-06-11 17:11:47

GeoGebra 4.0 will be released by the end of August 2011. In preparation fo the release of the software, I have created a series called GeoGebra 4.0 Sneak Peek Series. The series is an overview of the new feature of … Continue reading →

June 2011 Week 2 Summary

Published on 2011-06-11 11:02:57

Here is the summary of posts for the second week of June 2011. 1.) Mathematics and Multimedia Some thoughts on Teaching Math using Wolfram Alpha in teaching math GeoGebra 4.0 Sneak Peek 3: The New Text Tool How to add … Continue reading →

School of Freebies and other announcements

Published on 2011-06-10 23:19:26

School of Freebies to continue I decided to discontinue School of Freebies, but someone volunteered to help, so it’s back. However, it will  continue at its original URL in Blogspot. You can follow School of Freebies at its new RSS feed ̷

Experimental and Theoretical Probability 5

Published on 2011-06-10 11:01:33

This is the fifth and the final part of the Experimental and Theoretical Probability Series.  In this post, we are going to summarize what we have discussed in the previous four posts, and we are going to talk about some … Continue reading 

101 Blog Tips 3: Blog Structure and Design Tips

Published on 2011-06-09 11:01:27

This is the third part of the 101 Ways to Promote Your Blog for Free Series. The first part are about the  things to do before starting a blog and the second part is things to do during the early … Continue reading →

Blog Carnival 12 Reminder

Published on 2011-06-09 07:07:22

The Math and Multimedia Carnival is on its 12th edition.  If you have a blog post about K-12  mathematics or mathematics teaching, I would like to invite you to submit your article to the Math and Multimedia Blog Carnival. The … Continue read

The Top 10 iPod Touch Apps to Use in Math Class

Published on 2011-06-08 11:01:12

Note: This post links to another article. Finding free iPod Touch apps and games to use in Math classes can be a frustrating and time consuming venture. Many have limited functionality or are littered with ads for the paid versions. … Continue

How to add a ‘Follow me on Twitter’ button on your blog

Published on 2011-06-07 11:01:03

Twitter is one of the most popular microblogging site and an excellent place for sharing finds on the internet. That is why it is highly recommended for promoting blogs. In this post, I am going to teach you how to … Continue reading →

GeoGebra Sneak Peek 3: The New Text Tool

Published on 2011-06-06 11:01:58

This is the third posts in the GeoGebra 4.0 Sneak Peek Series. The first two posts discussed about the new tools and the graphical interface. In this post, we are going to discuss the changes made on the GeoGebra Text … Continue reading →

Some thoughts on using Wolfram Alpha in teaching math

Published on 2011-06-05 11:01:27

My main work at our institute is to find ways on how to integrate technologyparticularly free software and Web 2.0 applications in teaching mathematics. Recently, I have been thinking of integrating Wolfram Alpha in teacher trainings, but I can̵

June 2011 Week 1 Summary

Published on 2011-06-04 11:01:32

Hi everyone. Here is the summary of posts on our first week in a new server. GeoGebra 4.0 Sneak Peek 2: Graphical User Interface Sreenr: An excellent screencasting website Simon’s Factoring Trick 101 Blogging Tips: Things to do during the ̷

Regular Tessellations: Why only three of them?

Published on 2011-06-03 11:01:56

In Tessellations: The Mathematics of Tiling post, we have shown and discussed that there are only three regular polygons that can tessellate the plane: squares, equilateral triangles, and regular hexagons. From Figure 1, we can see why this is so. T

101 Blog Tips Part 2: Things to do during the early stage of blogging

Published on 2011-06-02 11:01:09

In the previous blog tips post, I have given you 7 tips on what to consider and what to do before starting a blog. By now I assume that you have already decided what topic to write about, and you have chosen … Continue reading →

Announcement: GeoGebra Seminar Batch 2 in August

Published on 2011-06-01 19:21:39

I would like to invite all high school and college mathematics teachers to attend the 3-day GeoGebra Level 1 Seminar-workshop which will be conducted on August 6, 13, 20, 2011 (Saturdays) in UP NISMED, UP Diliman. This training is designed … Co

Carnival 12 Deadline of Submission

Published on 2011-06-01 11:01:14

Time flies fast indeed.  The Math and Multimedia Blog Carnival is now one year old! The birth month edition will be hosted by Mathematics for Teaching blog by Erlina Ronda. To submit your articles to the carnival, click here. The deadline of ̷

Simon’s Favorite Factoring Trick

Published on 2011-05-31 11:01:02

When I was quite younger, one of my hobbies was joining internet forums (fora?) on problem solving. I was not really good at it, so my role was only to ask questions. One of the internet forums I joined was … Continue reading →

Screenr: An excellent screencasting website

Published on 2011-05-30 11:01:14

If you have used Jing, or CamStudio before, you may also want to check out Screenr, an excellent screencasting website. The video below will explain more. Screenr is web-based, both compatible with Windows and Mac, and above all free.

GeoGebra 4.0 Sneak Peek 2: The Graphical User Interface

Published on 2011-05-29 11:01:51

Note: This is the second part of the GeoGebra Sneak Peek Series. The first part is about the GeoGebra 4.0 New Tools. GeoGebra 4.0 has not only improved by adding additional tools and features, there are also “minor” changes which … Continue

May 2011 Week 4 Summary and more …

Published on 2011-05-28 23:56:23

Math and Multimedia is now on a new server — thanks to Hew, WordPress  Happiness Engineer, for transferring the blog. I. We have a new email subscription box at the right courtesy of Google’s Feedburner. Your emails have been transferred

Platonic Solids: Why only five of them?

Published on 2011-05-27 11:01:44

Regular polygons are polygons with congruent sides and congruent interior angles.  In three dimensions, the equivalent of regular polygons are regular polyhedra — solids whose faces are congruent regular polygons.  The most common regular pol

Email Subscribers: Instruction on how to continue your subscription after the transfer

Published on 2011-05-26 08:30:26

Unfortunately, the hosted version of Math and Multimedia will no longer have the same database for storing emails. Starting now, I will transfer all your emails to Feedburner (this is the only solution I can think of right now). This … Continue

Calculus 1 Video Lectures

Published on 2011-05-25 11:01:57

I found a set of good calculus video lectures recently. Students who are taking Calculus and to those who want to review calculus, I think it’s a good material. Enjoy learning! Filed under: High School Mathematics Tagged: calculus help video, &

Reminder: Math and Multimedia is moving

Published on 2011-05-25 08:06:11

Math and Multimedia is moving to a different server on Saturday, May 28 (in the Philippines) and Friday, May 27  (in the US)  to serve you better. The blog MIGHT be in maintenance mode for at most 24 hours.  However, … Continue reading ͛

Intersections of Planes with Google Sketchup

Published on 2011-05-24 11:01:24

At the information age, most of the younger generation of teachers cope up, but the not-so-young sometimes prefer the old ways. Nevertheless, great teachers are just great, no matter how they teach. One of my professors (Matrix Algebra), despite bein

Guest Post: Introduction to Vedic Mathematics

Published on 2011-05-23 11:01:35

Sanjay Guilati (author) has been teaching computer and mathematics in Bhilai , state Chhattisgarh in India for 15 years. Currently he is a  teacher in a senior secondary school and he is also involved in teacher training.  Sanjay is the … Con

Experimental and Theoretical Probability Part 4

Published on 2011-05-22 11:01:47

This is the fourth part of the Experimental and Theoretical Probability Series. Click the following to view the other parts of this series: Part I, Part II, Part III. *** In the previous posts in this series, we have experimented … Continue rea

May 2011 Week 3 Posts Summary

Published on 2011-05-22 01:07:57

Reminder: Math and Multimedia will be moving to a different server on Friday. For more information, click here. A. Mathematics and Multimedia GeoGebra 4.0 Sneak Peek – Part I: New Tools Conrad Wolfram: Teaching kids real math with computers Mat

Math Teachers at Play 38

Published on 2011-05-20 11:01:55

Welcome to the May 20, 2011 edition of Math Teachers at Play. Before beginning the carnival, let us have some interesting facts about 38. The sum of the squares first three primes The number of years it took the Israelites to … Continue readin

101 Blog Tips Part I: Things to do before starting a blog

Published on 2011-05-19 11:01:59

This is the first part of the 101 Ways to Promote your Blog for free, a series about blogging tips and promotion. In this post, we will discuss some things to do and to consider before starting a blog. I … Continue reading →

GeoGebra Seminars: Batch 1 done, batch 2 in July

Published on 2011-05-18 11:01:50

We have just finished training 41 teachers from all over the Philippines on GeoGebra Basics.  The first group was composed of 21 teachers from  Luzon and Mindanao. The  seminar was titled Seminar-Workshop on Using GeoGebra in Teaching and Learning

Store, share, and sync with Drop Box

Published on 2011-05-17 11:01:25

Before, I have shared to you some free online storage websites that you can use to store your files. Skydrive for instance, offers 25GB of free online storage, while Google also offers more than 7GB.  Recently, I discovered something even … Co

Math and Multimedia Carnival 11 is live

Published on 2011-05-16 16:55:24

The Mathematics and Multimedia Carnival 11 is now online at Love of Learning Blog.  The next blog carnival will be hosted by Mathematics for Teaching and will be posted on June 13, 2011.  You may submit your articles here. To increase the chance

Conrad Wolfram: Teaching kids real math with computers

Published on 2011-05-16 11:01:04

This is a brilliant talk by Conrad Wolfram on using computers in teaching mathematics.  This talk describes the problems in mathematics education nowadays: the wide gap between math taught in schools and math in the real world, misconceptions about

GeoGebra 4.0 Sneak Peek: Part I – New Tools

Published on 2011-05-15 11:01:56

This is the first part of the GeoGebra 4.0 Sneak Peek Series. In this series, we are going to discuss some of the changes in GeoGebra from version 3.2 to 4.0. If you want to have a complete view of … Continue reading →

Subscribers: Math and Multimedia is moving to a new server

Published on 2011-05-14 19:37:26

Finally, Mathematics and Multimedia is moving to a new server on May 27, 2011 (May 26 in America). All Twitter, Facebook, and Friendfeed subscribers are not affected; you will still continue to receive post updates after the transfer. Also, the ̷

May 2011 Week 2 Posts Summary

Published on 2011-05-14 11:01:30

A. Mathematics and Multimedia GeoGebra Essentials 10 –  Exporting GeoGebra Worksheets Promoting your Blog with Math Carnivals Experimental and Theoretical Probability 3 Why Finger Multiplication Works All Time Top 10 Mathematics Posts The Inve

The Inverted Classroom

Published on 2011-05-13 11:01:51

I was browsing several blogs yesterday and I found Robert Talbert’s presentation on Inverting the Classroom, Improving Student Learning. Robert has an excellent presentation of how technology, nowadays, have changed the way of teaching and lear

All-time Top 10 Mathematics Posts

Published on 2011-05-12 11:01:01

Here are the All-time Top 10 Mathematics posts  when it comes to number of hits. Try reading the documents to see why they are popular. How to use the summation symbol Tessellation: The Mathematics of Tiling An extensive explanation about … Co

Why Finger Multiplication Works

Published on 2011-05-11 11:01:28

In the Finger Multiplication post, we have learned how we can cleverly multiply numbers from 6 to 10 using  our fingers without memorizing the multiplication table. In this post, we will discuss the reason why this method works.  The proof …

Experimental and Theoretical Probability Part 3

Published on 2011-05-10 11:01:08

This is the third part of the Experimental and Theoretical Probability Series. In the second part of this series, we have observed in three different experiments that if two dice are rolled, it seems that the probability of getting the … Contin

Promoting your Blog with Math Carnivals

Published on 2011-05-09 11:01:14

Joining Math Carnivals is one of the most effective ways of promoting your blog. This month, you will have a chance to promote your blog here in Math and Multimedia.  I will be hosting the 37th edition of the Math … Continue reading →

GeoGebra Essentials 10 – Exporting GeoGebra Worksheets

Published on 2011-05-08 11:01:27

This is the final tutorial of the GeoGebra Essentials Series. We have already learned how to export a GeoGebra file to dynamic HTML, so in this tutorial, we are going to learn how to export a GeoGebra worksheet to static … Continue reading U

May 2011 Week 1 Summary

Published on 2011-05-07 11:01:46

To lessen my burden of archiving later, I have decided to summarize the posts of my three blogs every weekend. So from now on, you will be receiving weekly summary of posts every Sunday. Math and Multimedia Invitation to Join … Continue reading

7 ways to follow Math and Multimedia

Published on 2011-05-06 18:06:16

If you like Math and Multimedia and want to receive updates every time a post is made, here are seven ways to do it: 1.) Follow Math and Multimedia  on Twitter. 2.)   Math and Multimedia Facebook Page. This will take … Continue reading ͛

8 Free Tools for Teachers from Microsoft

Published on 2011-05-06 11:01:10

Microsoft has been doing its share recently in the free software category. Here are some of its free products and add-ons that maybe useful for teachers.  Interactive Classroom - lets teachers insert polling questions into PowerPoint presentations

Would you have made it into Harvard in 1869?

Published on 2011-05-05 11:01:29

If you think your tough in math and can pass the 1869 Harvard math exam, don’t rejoice so much because there are other subjects as well. Other subjects included are History and Geography, Latin Grammar, English to Latin Translation, Greek ̷

Winmat Tutorial 1 – Adding, subtracting, and multiplying matrices

Published on 2011-05-04 11:01:32

In the Free mathematics software list post, I have introduced to you WinMat, one of the math software developed by Philip Exeter University. Winmat (Windows) is a free software that allows users to edit and calculate integer, real, and complex matri

The WordPress Blogging Tutorial Series

Published on 2011-05-03 17:24:43

WordPress is considered by many as one of the best blogging sites and platforms today.  The WordPress Blogging Tutorial series is a series of step by step tutorials on how  to blog in WordPress.com. This tutorial is dedicated to absolute … Co

Win yourself an iPod!

Published on 2011-05-03 03:37:45

This is a guest post from one of my partner bloggers, William Emeny, of Mathsmaster.org. Mathsmaster.org is still new but growing very quickly as more and more people visit and enjoy the site! As we go on this amazing journey aiming … Continue

Wikispaces and GeoGebra

Published on 2011-05-02 11:01:35

An excellent presentation and tutorial by Dr. Linda Fahlberg about Wikispaces and GeoGebra. Filed under: Teaching Tools, Web 2.0 Technology Tagged: GeoGebra Tutorial, Linda Fahlberg, wikispaces tutorial

Experimental and Theoretical Probability Part 2

Published on 2011-05-01 11:01:08

This the second part of the series of posts on Experimental and Theoretical Probability. In the first part of this series, we used a spreadsheet to simulate the rolling of dice 1000 times and automatically recorded the sums. We have … Continue

Invitation to Join the Math Future Wiki

Published on 2011-04-30 11:01:58

I would like to invite you to join the Math 2.0 Interest Group (Math Future) wiki.  This group is an international network of researchers, educators, families, community leaders and technology enablers. We are collaborating on a variety of resea

April 2011 Newsletter

Published on 2011-04-29 11:01:49

I. What’s New First, check out what’s new at Mathematics and Multimedia. Let other people know what’s math to you by answering the Math is survey. I have two new blogs, the School of Freebies which is sharing blog about educationa

SOF has a new URL; Math and Multimedia to a new server

Published on 2011-04-28 17:38:48

To evaluate blogging outside WordPress.com, I have transferred School of Freebies to a new server and a new URL. I also plan to move Math and Multimedia to a new server by June or July this year. After the transfer, … Continue reading →

Calculus Rhapsody

Published on 2011-04-28 11:01:41

A calculus song to  the tune of Bohemian Rhapsody by By Phil Kirk & Mike Gospel.  I enjoyed it very much. I just wish that the subject was as enjoyable. Thank you Ms. Andrea San Pedro for sharing. Filed under: High … Continue reading 

Folding a Hyperbola

Published on 2011-04-27 11:01:24

Below is an activity that uses paper folding to create a parabola.  The steps are as follows. First, draw a circle on a piece of paper and draw a point outside the circle. Second, draw a point on any location … Continue reading →

How to create a Facebook page for your blog

Published on 2011-04-26 21:01:52

Facebook is undoubtedly one of the most famous or probably the most famous social networking site, so we will take advantage of its popularity to promote our blog.  One easy way to promote a blog is through a Facebook Page. … Continue reading

8000+ Mathematics, Physics, and Engineering Applets

Published on 2011-04-25 19:10:20

Applets are very useful in mathematical explorations, so I made  list of more than 8000 applets from 10 different websites and blogs below. I hope you’ll find them helpful. Analyze Math. Tutorials and problems with applets. Cut the Knot. More

The Love of Learning

Published on 2011-04-25 11:01:30

I want to introduce a new partner blog, the Love of Learning blog.The Love of Learning Blog, by Kristi Grande, is written for Middle School Math teachers.  This blog explores teaching strategies, activities, and technology applications for Middl

Math Easter Egg

Published on 2011-04-25 05:18:12

Happy Easter everyone. I am just sharing a math egg I found in Flickr. Filed under: High School Mathematics Tagged: easter, easter sunday, flickr photos, free easter egg photos, math easter eggs

Experimental and Theoretical Probability Part I

Published on 2011-04-24 11:01:18

If two standard cubical dice are rolled, one red and one blue, the possible sums ranges from 2 = (1+1) and 12 = (6+6). Now,  are the chances of getting these 11 sums equal?  For example, is the chance of … Continue reading →

GeoGebra Tutorial 28 – Animation and Hypocycloids

Published on 2011-04-23 11:01:33

This is the 28th tutorial in the GeoGebra Intermediate Tutorial Series. In this tutorial, we are going to construct a hypocycloid using GeoGebra. A hypocycloid is a special curve generated by the trace of a fixed point on a small circle that …

Finger Multiplication

Published on 2011-04-22 18:25:51

I was surprised when I came across with an article on Polish hand magic, a strategy for multiplication using the fingers. I remember us doing it when we were in the first grade, but in a slightly different way.  Here in our … Continue readin

Holy Week Holiday

Published on 2011-04-19 21:55:46

In commemoration of the Christan Holy Week,  I will be on a holiday tomorrow (Maundy Thursday) and the day after (Good Friday). Blogging will resume on Saturday. Have a blessed holiday and may God bless you all. Filed under: Announcement Tagged: chr

Basic Web from 20 Things I learned

Published on 2011-04-19 11:01:01

20 Things I learned is an excellent ebook  published by Google that discusses about the basics of web and computing.  The topics included among others are  HTML, RSS, JavaScript, computing and HTML 5. Security issues topics such as Malware and Phi

101 ways to promote your math blog for free

Published on 2011-04-18 11:01:34

If you have noticed I have started writing posts about blog promotion (see How to automatically import your blog post to your Facebook wall and Basic Blogging Tips 1).  This is the sequel of the WordPress Blogging Tutorial Series and the beginning

Mathematics and Multimedia Carnival 10

Published on 2011-04-17 11:01:17

Welcome to the 10th Edition of the Mathematics and Multimedia blog carnival. I hope you have enjoyed the 9th edition posted Virtual Math Tutor. We have very interesting submissions in this edition but before we begin, let’s have some trivia abo

How to automatically import your blog post to your Facebook wall

Published on 2011-04-16 11:01:25

One of the best ways to promote your blog is through social networking sites. In the tutorial below, we will  learn how to automatically import your blog posts to your Facebook wall through the Notes application. This way, your friends and colleague

SOMEBODY up there pushed me

Published on 2011-04-15 11:17:45

I was one of the youngest in our institute, and there are only a few of us who are about my age.  Most of my colleagues are over 50, and one of the hottest topics during break time is about retirement.  Some, when they retire, want to travel to oth

Potato chips and mathematics

Published on 2011-04-14 11:01:52

If your math teacher told you that mathematics is everywhere, believe him.   Almost all the things that we see around (even things that we do not see)  are  related to mathematics  – even potato chips. Yes, even potato chips. Some potato ch

GeoGebra Advanced Tutorial 9 – Exporting GeoGebra to Moodle

Published on 2011-04-13 11:01:09

Here is a great tutorial from Youtube by the user dstlearn on how to export a dynamic worksheet to Moodle. Filed under: GeoGebra, Software Tutorials Tagged: exporting geogebra to moodle, geogebra advanced tutorial series, geogebra dynamic html, how t

Math and Multimedia 2011 Quarter 1 Top Posts

Published on 2011-04-12 11:01:22

Top 10 Mathematics Posts Applets For Visualizing Isometric and Three Dimensional Views How to use the summation symbol Microsoft Mathematics is now available for free Tessellation: The Mathematics of Tiling The Algebraic and Geometric Proofs of Pytha

An elementary proof of the cosine law

Published on 2011-04-11 11:01:19

The cosine law states that in triangle with side lengths and , the following equations are satisfied: * The discussion below shows how these equations were derived. *** Consider triangle with side lengths , and . Drop an altitude from and let be the

How to embed a Scribd document to a WordPress blog

Published on 2011-04-10 11:01:17

We have learned how to store and share in Scribd. In this tutorial, we are going to learn how to embed a Scribd document on a WordPress blog page. To embed a Scribd document in WordPress do the following: Select the document you want to embed. This w

Math and Multimedia Blog Carnival 10 will be hosted here

Published on 2011-04-09 11:01:10

I hope you have enjoyed last Blog Carnival 9 on Virtual Math Tutor.  The tenth edition will be posted here.  It will be posted on Monday, April 18, 2011. The deadline of submission is on Sunday, April 16, 2011. You may submit your articles here

Nature by Numbers: Watch and fall in love with math

Published on 2011-04-08 11:06:41

This is a captivating video ‘inspired by numbers, geometry and nature’ and was created by Cristóbal Vila.   The video explains the connections between the Fibonacci sequence 1,1,2,3,5,8,13, … (can you see the pattern?), and natur

Math is …

Published on 2011-04-07 11:01:54

JUST FOR FUN (with a hidden motive that I will use the data  in an upcoming post), please use the link below to continue the sentence. Math is ______________________. *Click HERE or use the comment box to answer. Please limit your answer phrase to f

Mathematics and Multimedia Carnival 10

Published on 2011-04-07 11:01:17

Welcome to the 10th Edition of the Mathematics and Multimedia blog carnival. We have very interesting  submissions in this edition but before we begin, let’s have some trivia about the number 10 from Wikipedia: Ten is the sum of the first 3 pr

Math Exercise, Problem, and Investigation

Published on 2011-04-06 11:29:43

As teachers, it is important that we vary the activities that we give our students. The learning process that takes place in the classroom is obviously, in any way or another, affected by the type of tasks that we give them.  Let us differentiate th

GeoGebra summer training and GeoGebra Institute of Manila updates

Published on 2011-04-05 20:13:23

GeoGebra Institute of Metro Manila The GIMM Wiki is now open for collaboration. You can now join the wiki and create a page for your school. If you have created a page, please inform me through gipmanila@gmail.com so that I can include your page to

How to add a Paypal donate button to your blog

Published on 2011-04-05 11:01:35

Many bloggers nowadays are monetizing their blogs. Some sell ebooks, some through advertisements, and others, especially blogs that do charity monetize through donations. Paypal is an easy way of doing accepting payments through transactions or even

Storytelling and Statistics at their finest

Published on 2011-04-04 11:01:01

Statistics is often viewed as a boring subject which is composed of loads of data, graphs, and spreadsheets.  If this is your view of statistics, try seeing the video below (both content and graphics), and see if your view of it is the same after wa

March 2011 Top Posts

Published on 2011-04-03 11:01:18

Mathematics Top Posts How to use the summation symbol Tessellation: The Mathematics of Tiling The Algebraic and Geometric Proofs of Pythagorean Theorem Limit by epsilon-delta proof: Example 1 Using Mathematics to Win the Lottery The Inscribed Angle T

Discovering multiplication of integers through patterns

Published on 2011-04-02 14:00:28

Part I: Addition of Integers Part II: Subtraction of Integers Part III: Multiplication and Division of Integers *** We have discussed about addition of and subtraction of integers in the previous posts. In this post, we are going to discuss about mul

Dynamic Statistics with Gapminder

Published on 2011-04-01 11:01:21

Gapminder is a stunning information visualization software for statistical animations.  It was created by Hans Rosling and is currently in beta version. Gapminder uses bubbles that animates on the Cartesian plane as time progresses. By default it s

12 year-old genius thinks he can disprove Einstein’s relativity

Published on 2011-04-01 07:47:43

Jacob Barnett, a 12-year old prodigy from Indianopolis, USA, thinks that he can disprove Einstein’s theory of relativity. Mathematicians and physicists from the Institute for Advanced Study — home of math and physics hotshots — conf

What’s new and other updates

Published on 2011-03-31 11:01:49

Here are some of the updates that I have made for the first quarter. I have found ways for you to follow the three blogs. I. Mathematics and Multimedia I have split the Post List tab into three; I have created two more tabs- the Mathematics tab with

Blog Carnival 9 is now online

Published on 2011-03-30 12:52:25

The Mathematics and Multimedia Carnival 9 is now online at Virtual Math Tutor. The next blog carnival will be hosted here.  You may submit your articles here. To increase the chance of your article of being published, read the Mathematics and Multi

How to download Math Videos from Youtube

Published on 2011-03-28 11:01:29

You can download a Youtube video using Keepvid. To do this, do the following steps: 1.) Go to the Youtube math video that you want to download. 2.) Copy the video’s URL and  go to Keepvid.com. 3.) Next, paste the URL to in the URL text box (f

Math and Multimedia All-Time Top Rated Math Posts

Published on 2011-03-27 11:01:04

Here are the 10  Top-rated  math articles of Mathematics and Multimedia. How to use the summation symbol Introduction to Permutations Introduction to Combinations Why is 0! equals 1? The Algebraic and Geometric Proofs of Pythagorean Theorem The Alg

GeoGebra Essentials 8 – Graphs and their Properties

Published on 2011-03-26 11:01:08

GeoGebra Essentials 8 – Graphs and their Properties This is the eight tutorial in the GeoGebra Essentials Series. If you are not familiar with GeoGebra, you may want to read the Introduction to GeoGebra post and earlier tutorials. It contains the

IMPORTANT: To all readers and subscribers

Published on 2011-03-25 23:14:42

Hi everyone. Due to the growing number of articles in this blog, I am trying to “declutter” Mathematics and Multimedia. My apologies if in a few days you will be receiving post lists. If you have noticed, few changes were made: If you loo

WordPress Blogging Tutorial 9 – Finishing Touches

Published on 2011-03-25 11:01:35

We have had eight WordPress tutorials and I think those tutorials are enough to keep your blog rolling.  In this post I am going to give you hints on the things that you should do before making a lot of posts. Here are the finishing touches you shou

Building widgets with Wolfram Alpha

Published on 2011-03-24 11:01:18

We have talked about why Wolfram Alpha and why is it so special.  Yesterday, I tried exploring widgets and came across with this video on how to build widgets using Wolfram Alpha. Once you have created a widget, you can embed it on your websites.  

How to write math equations (integrate Latex) in Blogspot/Blogger

Published on 2011-03-24 04:41:22

The reason why I chose WordPress over Blogspot/Blogger before was because of Latex. Latex as we have discussed is a way to create equations in blogs and websites. Now, we can also write math equations in Blogger (see example) without having to insert

Math Teaches at Play 36 and Carnival of Math 76

Published on 2011-03-23 23:29:56

The Mathematics Teacher at Play 36 is now online at Math Hombre.  To view the list of other Math Teachers at Play Carnival, click here. � The Carnival of Mathematics #75 is also live at Science Backstage. My post Understanding Fermat’s La

GeoGebra Institute of Metro Manila goes live

Published on 2011-03-23 19:05:16

GeoGebra Institute of Metro Manila (GIMM) is one of the International GeoGebra Institutes (IGI), a non-profit organization behind the free mathematics software GeoGebra. It is the first GeoGebra Institute in the Philippines. The aim of GIMM is for

Military drills and the closure property of real numbers

Published on 2011-03-22 11:01:24

In military drills, we are familiar with the commands that let the soldiers face or turn to certain directions. Left face (sometimes called left turn), right face, and about face are probably the most common commands used. If we are facing north, a l

Blog Carnival 9 Deadline of Submission

Published on 2011-03-20 15:32:16

The Mathematics and Multimedia Blog Carnival is on its ninth edition and will be hosted by Virtual Math Tutor . It will be posted on Monday, March 28, 2011. The deadline of submission is on Saturday, March 26, 2011. You may submit your articles 

I don’t promote blogs and websites for money

Published on 2011-03-20 05:03:51

A while ago, I received a letter from a reader saying that she was a bit disappointed about my mention of some blogs in several of my posts. She thinks that some of the blogs are not qualified to be mentioned. I truly appreciate her letter because I

My new blog: School of Freebies

Published on 2011-03-19 17:19:05

I and my colleagues (this includes science and IT teachers and trainers) are using a lot of free resources on the internet and many of them are non-mathematics.  Since this blog is only limited to sharing math-related resources, I have created anoth

Free Maths Videos at MathsMaster.org

Published on 2011-03-19 11:01:27

If you have enjoyed Salman Khan’s videos on Youtube, you may want to check out, MathsMaster.org. MathsMaster is a new website and its aim is also to provide free mathematics education through videos. According to William Emeny, one of the autho

Store and publish online for free with Issuu

Published on 2011-03-18 11:01:15

If you have used Google Docs and Scribd, another online storage that you should try is Issuu.  Issuu is an online service that allows for realistic and customizable viewing of digitally uploaded material, such as portfolios, books, magazine issues,

Equation of a line: The derivation of y = mx + b

Published on 2011-03-17 11:01:08

We have discussed in context the origin (click here and here) of the linear equation , where and are real numbers.  We have also talked about the slope of a line and many of its properties. In this post, we will discuss the generalization of the

Keeping Math Simple’s new URL

Published on 2011-03-15 19:25:25

Keeping Math Simple has changed its name to Mathematics for Teaching. It has also changed its URL (now at http://math4teaching.com/).  The author of the blog, Erlina Ronda,  is a fellow Filipino.  Written below is her blog description. This blog i

Annoucment: Seminar on Teaching with GeoGebra This Summer

Published on 2011-03-14 22:42:45

I would like to invite  high school and college mathematics teachers to attend a seminar on the Introductory Course on the Use of GeoGebra in Teaching and Learning Mathematics on May 4-5, 2011, at UP NISMED, University of the Philippines (Diliman)

More than 20,000 mathematics contest problems and solutions

Published on 2011-03-13 11:01:30

Are you a math geek? Do you love solving problems? Do you like joining contests? If you are, then this list is for you.  This list contains more than 20 contest problems, many of which, have solutions and answers. Some of the links were taken from m

GeoGebra Advanced Tutorial 8 – Random Numbers and Condition to Show

Published on 2011-03-12 10:01:18

In this tutorial, we will are going to create an exercise applet on plotting points. This exercise is recommended for students who were just introduced to plotting points in the coordinate plane.  The user of this applet is going to drag four points

Store and share your math documents with Scribd

Published on 2011-03-11 18:54:53

If you want to store or share your file online other than Google docs, one way of sharing them is through Scribd.  Scribd is an online sharing program where you can store and share your documents.  Scribd also allows you to embed Scribd-stored docu

Please ignore this post

Published on 2011-03-11 15:26:09

This post confirms my ownership of the site and that this site adheres to Google AdSense program policies and Terms and Conditions. Filed under: High School Mathematics

Math and Multimedia’s new site address

Published on 2011-03-11 05:21:24

Math and Multimedia has a new domain (http://mathandmultimedia.com).  You can now update  your bookmarks, though, going to the previous address (http://math4allages.wordpress.com) will redirect you to the new one. Filed under: Announcement Tagged:

The Commutativity of Real Numbers

Published on 2011-03-09 10:01:20

In the previous discussion, we have shown that addition of two integers a and b is commutative by considering a and b as lengths of two segments.  Joining the two segments is the same as adding the integers. We have shown that, clearly,  a + b equa

Introducing GeoGebra Prim Beta

Published on 2011-03-07 10:01:11

GeoGebra Prim is a variant of GeoGebra for primary school and middle school students that will soon be released (probably with GeoGebra 4.0).  It is a more simplified version of GeoGebra – no drop down buttons, bigger text,  and reduced numbe

Introducing GeoGebra Prim Beta

Published on 2011-03-07 10:01:11

GeoGebra Prim is a variant of GeoGebra for primary school and middle school students that will soon be released (probably with GeoGebra 4.0).  It is a more simplified version of GeoGebra – no drop down buttons, bigger text,  and reduced numbe

Math and Multimedia Carnival #8 and More

Published on 2011-03-05 10:01:50

The Mathematics and Multimedia Carnival 8 is now online at David Wees’ Blog, and the Carnival of Mathematics 75 is on General Musings. The Mathematics and Multimedia Blog Carnival 9th edition and will be hosted by Virtual Math Tutor. It will b

Math and Multimedia Carnival #8 and More

Published on 2011-03-05 10:01:50

The Mathematics and Multimedia Carnival 8 is now online at David Wees’ Blog, and the Carnival of Mathematics 75 is on General Musings. The Mathematics and Multimedia Blog Carnival 9th edition and will be hosted by Virtual Math Tutor. It will b

Why mathematics teacher drink part 2

Published on 2011-03-04 10:01:52

If you are wondering why math teachers drink, some of the reasons are shown below. You may also want to look at Why mathematics teachers drink part 1. � � Photo Credit: Funny Exam Answers Filed under: Fun and Jokes, Math Lite Tagged: funny

Why mathematics teacher drink part 2

Published on 2011-03-04 10:01:52

If you are wondering why math teachers drink, some of the reasons are shown below. You may also want to look at Why mathematics teachers drink part 1. � � Photo Credit: Funny Exam Answers Filed under: Fun and Jokes, Math Lite Tagged: funny

Operations on Integers – Subtraction

Published on 2011-03-01 10:01:22

We have discussed about addition of integers and its representation as chips.  Recall in our previous discussion that a single positive chip added up to a single negative chip is equal to 0. The addition below as we have discussed will give us a not

Operations on Integers – Subtraction

Published on 2011-03-01 10:01:22

We have discussed about addition of integers and its representation as chips.  Recall in our previous discussion that a single positive chip added up to a single negative chip is equal to 0. The addition below as we have discussed will give us a not

Math Teachers at Play #35 (via Let’s Play Math!)

Published on 2011-02-28 23:25:46

The Math Teachers at Play Carnival #35 is now online. It has excellent entries. You may want to check it out. Welcome to the Math Teachers At Play blog carnival — which is not just for math teachers. Do you enjoy math? I hope so! If not, browsi

Math Teachers at Play #35 (via Let’s Play Math!)

Published on 2011-02-28 23:25:46

The Math Teachers at Play Carnival #35 is now online. It has excellent entries. You may want to check it out. Welcome to the Math Teachers At Play blog carnival — which is not just for math teachers. Do you enjoy math? I hope so! If not, browsi

Top Posts for February 2011

Published on 2011-02-27 10:01:46

Overall Top 10  Posts The GeoGebra Page The All for Free Page Applets For Visualizing Isometric and Three Dimensional Views The Posts List Page Microsoft Mathematics is now available for free GeoGebra Tutorial 8 – Tracing the Graphs of Trigon

Top Posts for February 2011

Published on 2011-02-27 10:01:46

Overall Top 10  Posts The GeoGebra Page The All for Free Page Applets For Visualizing Isometric and Three Dimensional Views The Posts List Page Microsoft Mathematics is now available for free GeoGebra Tutorial 8 – Tracing the Graphs of Trigon

Limit by epsilon-delta proof: Example 1

Published on 2011-02-26 10:01:51

We have discussed extensively the meaning of the definition.  In this post, we are going to learn some strategies to prove limits of functions by definition.  The meat of the proof is finding a suitable for all possible values. Recall that the defi

Limit by epsilon-delta proof: Example 1

Published on 2011-02-26 10:01:51

We have discussed extensively the meaning of the definition.  In this post, we are going to learn some strategies to prove limits of functions by definition.  The meat of the proof is finding a suitable for all possible values. Recall that the defi

GeoGebra Advanced Tutorial 7 – Embedding Form Controls and JavaScript I

Published on 2011-02-25 10:01:27

We have discussed before how to export a GeoGebra file into dynamic html. In all of our GeoGebra dynamic HTML documents, we have not allowed input from user except by dragging objects within the applet. In this tutorial, we are going to use HTML Form

GeoGebra Advanced Tutorial 7 – Embedding Form Controls and JavaScript I

Published on 2011-02-25 10:01:27

We have discussed before how to export a GeoGebra file into dynamic html. In all of our GeoGebra dynamic HTML documents, we have not allowed input from user except by dragging objects within the applet. In this tutorial, we are going to use HTML Form

Changing Education Paradigms

Published on 2011-02-22 10:01:56

This presentation discusses the past and current problems of the system of education, which I believe are true in most countries, and the efforts to uplift it.  I agree with most of the arguments in this presentation especially the part where, some

Changing Education Paradigm

Published on 2011-02-22 10:01:56

This presentation discusses the past and current problems of the system of education, which I believe are true in most countries, and the efforts to uplift it.  I agree with most of the arguments in this presentation especially the part where, some

Blog Carnival 8 Deadline of Submission

Published on 2011-02-20 10:01:26

The Mathematics and Multimedia Blog Carnival is on its seventh edition and will be hosted by David Wees. It will be posted on Monday, February 28, 2011. The deadline of submission is on Saturday, February 26, 2011. You may submit your articles 

WordPress Blogging Tutorial 8 – Working with Widgets

Published on 2011-02-19 10:01:10

A widget is a web tool that performs a specific task. It can be a clock, a daily weather news, a random quotation generator, and many others. Widgets can usually be embedded in blogs using a short code. It can be a simple HTML, a Javascript, a flash

Operations on Integers – Addition

Published on 2011-02-18 10:56:27

Introduction The set of integers is composed of the negative integers, zero, and the positive integers.  The integers can be visualized using the number line (see first figure), a horizontal line, where, by convention (agreed upon by mathematicians)

The Distributive Property

Published on 2011-02-15 10:01:52

Given numbers a, b, and c, we are familiar since elementary grades that a(b+c) = ab + ac. This is what we call the distributive property of multiplication over addition. From commutative property, we also know that xy = yx; therefore, (b + c)a = a(b

How do mathematicians greet happy valentines?

Published on 2011-02-13 10:01:53

Uhm,  maybe they give their girlfriends some valentine ‘stuff’  with some hidden math on it. For example, a greeting card with a  Sierpinski Triangle decorated with heart fractals such as the one shown below. � Or maybe some GeoGe

Google Squared: A new way of searching

Published on 2011-02-12 10:01:07

If you liked my post on Wolfram Alpha, then you will probably like Google Squared. Google Squared is a semantic search engine developed by Google which displays search results  in tabular format.  The results in tables can be customized, saved, an

The Geometry of Commutativity

Published on 2011-02-11 10:01:18

One of the elementary observations about real numbers is that if we add the two numbers, regarding of the order, their sum is unique.  We know that 4 + 3 = 3 + 4. This property is also the same when we multiply. If we have two numbers, regarding of

GeoGebra Essentials 8 – Texts and Variables

Published on 2011-02-08 10:01:35

This is the seventh tutorial in the GeoGebra Essentials Series. If you are not familiar with GeoGebra, you may want to read the Introduction to GeoGebra post and earlier tutorials. It contains the pre-requisites of this tutorial of the series. In the

Carnival of Mathematics #74 and wanted blog hosts

Published on 2011-02-08 00:00:57

The Carnival of Mathematics #74 is now online at Walking Randomly. Enjoy Reading! Mathematics and Multimedia is looking for blog carnival hosts. If you are interested, email me at mathandmultimedia@gmail.com.

Simba sings math

Published on 2011-02-05 10:59:39

Very very funny.

Microsoft Mathematics is now available for free

Published on 2011-02-03 17:40:20

Microsoft Mathematics, a computer algebra system developed by Microsoft Corporation, is now available for free  download. Among others, Microsoft Mathematics has the following tools: Equation Solver. Provides step-by-step solutions to solve equation

Math and Multimedia’s charity work

Published on 2011-02-03 01:33:34

This site has exist and has helped a lot of people for over a year. If it has helped you, your help would also be appreciated. You can now use the Paypal donate button at the right. I am planning to do charity work, and part of the donations will be

WordPress Tutorial 7 – Changing the Theme of Your Blog

Published on 2011-02-01 18:57:43

From the previous tutorials, we have learned the basics on creating and editing blogs.  In this short tutorial, we are going to learn how to change the theme of your blog.  The theme composed of the general appearance of your blog including the hea

Math and Multimedia Carnival # 7

Published on 2011-01-31 17:49:32

Enjoy the Mathematics and Multimedia Carnival #7 via Keeping Math Simple. Welcome to the 7th edition of Mathematics and Multimedia blog carnival. Before we begin Carnival 7, let’s look at some of the trivias about the number seven: The Millennium

Top Posts for January 2011

Published on 2011-01-30 22:53:25

Here are the Mathematics and Multimedia top posts for January 2011 based on the number of hits. Top Math posts Tessellation: The Mathematics of Tiling How to use the summation symbol Math Links Understanding the Fermat’s Last Theorem Arithmetic

Top 100 Tools for Learning for 2010

Published on 2011-01-28 10:28:20

If you have read about the Top 100 Tools for Learning for 2009, here is the Top for 100 Tools for Learning 2010. I use 42 of them.  How many tools do you use?

Making Mathematicians 1

Published on 2011-01-27 14:00:53

Notes: This post is actually intended for Filipino readers (but anyone is welcome to read it), so people from other countries might not understand the humor embedded on the article. This is my way of describing the ills of education in our country, a

Pythagorean Triple 2: Generating Pythagorean Triples

Published on 2011-01-25 10:01:20

In the previous math article, we have shown that there are infinitely many Pythagorean triples.  In this article, we are going to discuss a very short but effective strategy in generating Pythagorean Triples. A Pythagorean triple is the integer trip

GeoGebra Essentials 7 – Using the Keyboard Commands

Published on 2011-01-22 11:02:20

In the many tutorials that we have learned, we have discussed how to construct mathematical objects such as points, lines, line segments, circles and others using the mouse and the tools in the toolbar.  In this post, we are going to learn how to co

Blog Carnival 7 Deadline of Submission

Published on 2011-01-21 17:36:41

The Mathematics and Multimedia Blog Carnival is on its seventh edition and will be hosted by Keeping Math Simple. It will be posted on Monday, January 31, 2010. The deadline of submission is on Friday, January 28, 2010. You may submit your articl

Math Teachers at Play 34

Published on 2011-01-20 10:01:22

Welcome to the 34th edition of the Math Teachers at Play Carnival. Since it is new year, we will be talking about cakes, best of 2010, and calendars. Integers Maria Miller presents some games that could help elementary school students practice order

Math Teachers at Play Blog Carnival Deadline

Published on 2011-01-18 18:30:54

Mathematics and Multimedia will be hosting the Mathematics Teachers at Play Blog Carnival #34. If you have articles or blogs about anything mathematics, you can submit it here. The deadline of submission will be on January 19, 2011, and the post date

The Infinitude of Pythagorean Triples

Published on 2011-01-18 10:01:50

In the Understanding the Fermat’s Last Theorem post, I have mentioned about Pythagorean Triples.  In this post, we will show that there are infinitely many of them. We will use intuitive reasoning to prove the theorem. For the 100th time (kidd

WordPress Tutorial 6 – Basic Blogging Tips 1

Published on 2011-01-16 07:39:48

As I have promised before, I will not only teach you how to blog using WordPress, but also help you how to “grow” it. After all, what’s the use of a blog when you are the only one, or only a handful of people are  reading it. We have learned t

Understanding the Fermat’s Last Theorem

Published on 2011-01-15 10:01:28

The Fermat’s last theorem is one of the hardest problems in the history of mathematics.  The problem was written by Pierre de Fermat in 1637, and it was only solved more than 300 years later —  in 1995 by Professor Andrew Wiles. But wha

Calling All Bloggers

Published on 2011-01-14 21:57:54

Mathematics and Multimedia will be hosting the Mathematics Teachers at Play Blog Carnival #34. If you have articles or blogs about anything mathematics, you can submit it here. The deadline of submission will be on June 19, 2011, and the post date wi

Miscellaneous GeoGebra Links

Published on 2011-01-11 10:19:30

Here are some excellent resources that you can use if you are teaching and learning GeoGebra. Official Web Page GeoGebra Official Website Geogebra Download Page GeoGebra Wiki. Contains free pools of materials. GeoGebra Know How. A list of GeoGebra tu

GeoGebra Basic Construction 7 – Rhombus

Published on 2011-01-08 10:01:25

This is the seventh tutorial in the GeoGebra Basic Construction Series. If you are not familiar with GeoGebra, you may want to read the Introduction to GeoGebra post and prior tutorials in the series. They contain the pre-requisites of this tutorial.

WordPress Blogging Tutorial 5 – Embedding Videos and More

Published on 2011-01-07 10:01:20

In tutorial 2, we have discussed how to insert image in you WordPress blog, and in tutorial 4, we have discussed how to link texts to other files on the internet.  In this tutorial, we are going to learn how to embed videos in our WordPress blog. In

GeoGebra Advanced Tutorial 3 – Embedding GeoGebra worksheets in Wikispaces

Published on 2011-01-04 21:33:36

Dr. Linda Fahlberg has created an excellent tutorial on embedding GeoGebra in Wikispaces. Dr. Falhberg has been a user and tutorial developer of GeoGebra even before I started learning it. The links below are her GeoGebra wikis: GeoGebraWiki in Wikis

Corresponding Angles of Similar Objects

Published on 2011-01-02 10:01:10

In this post, one property of similar objects. In the previous article, we have discussed that if we want to preserve the appearance of our picture or object (that is without being stretched), we will have to enlarge or reduce it with the same propor