2015 1st Half in Review – Mathematics

Time flies indeed! Half of the year is over.

If you have observed,  I have refrained from posting reviews every month. This is due to the fact that I am only posting 4-5 posts every month. The first half of the year have been so busy and I think the next half will even be busier.

Anyway, here are the mathematics content posts for the first half of the year. Enjoy!

1st Half in Review – Mathematics

1.) How to Use the Factorial Notation
2.) How to Use the Factorial Notation
3.) What exactly is the vertical line test?
4.) Why the Area of a Rhombus is Half the Product of its Diagonals
5.) Understanding the Concept of Inverse Functions
6.) Why the Multiplication by 11 Trick Works
7.) The difference between AND and OR
8.) Introduction to Negation and the NOT Operator
9.) Understanding the Basics of the De Morgan’s Laws
10.) Understanding If-Then Statements
11.) 4 Interesting Things about the Japanese Counting Systems
12.) On Equations of Intersecting, Coinciding, and Parallel Lines
13.) How to Represent Inequalities in One Variable
14.) A Closer Look at Coinciding Lines

Explore Math and Multimedia  » Read more

Lesson Study Book 2: Learning More Together

Two years ago, our institute, the University of the Philippines National Institute for Science and Mathematics Education Development (UP NISMED) published Lesson Study Book 1  which details our involvement in Lesson Study in the Philippines. Last year, when I was in Japan, we also published the sequel of this book titled “Lesson Study Book 2: Learning More Together, Growing in Practice.” The chapters in this book document the actual study experiences of teachers and students that highlight teaching and learning of science and mathematics through inquiry based problem-solving approaches from elementary and high school levels. It also discusses some research results.

Below are the titles of the chapters in this book.   » Read more

How to Calculate Using Japanese Abacus Part 2

October last year, I have introduced how to represent numbers using the Japanese abacus. In this post, I am going to teach you how to add and subtract using it. If you are not familiar on how to represent numbers in abacus, please read the first part of this series by clicking the link above. You have to understand the representation in order to follow the tutorial below.

Note that although abacus is not needed in the calculations below since it can be done mentally, calculations done in abacus in real life involve large numbers or even those with decimals. The examples below will only give you an overview of how calculations are made and some of the strategies used.  » Read more

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