## Singapore Strategies for Teaching Addition and Subtraction – Part 1: Numbers to 10

Singapore Math, with it’s strong emphasis on visualization, is especially well-suited to introducing this topic to young learners who have just started their journey in math education. In this discussion, we explore some of the less obvious misconceptions when first introducing addition and subtraction for numbers to 10.

## Subtraction Within 20 – The Cost of Working Memory

Part of our role as educators is to continually reflect on the teaching methods and evolve them as we adjust to students’ learning. One such adjustment came about from teaching our first graders addition and subtraction for numbers within 20. Specifically, the problem of subtraction with regrouping was a major hurdle the kids had to get through. Let us look at some examples from the textbooks and workbooks, and why we decide to tweak the method for our classes.

## New product announcement! 1st 2nd Grade Morning Work and Review – Addition and Subtraction for numbers 20 to 100

We’re excited to announce a new worksheet we’re releasing for sale! This is the second part of a series of worksheets we made for our early elementary students to build up their confidence in the important concepts of addition and subtraction.

## About the counting problem last Christmas

Last Christmas, we gave out a free worksheet based on the familiar carol “The Twelve Days of Christmas”, where students are asked to count the number of gifts they will receive on each day and cumulatively the total number of gifts received up to the n-th day. While working through the exercises, we (and our

## Happy Holidays!

We still can’t believe we’re wearing T-shirts on Christmas Eve in Boston (It’s 70 degrees today)! Here’s wishing you and your family a happy and restful holiday season!

## Remainder 6 or 60?

…the tricky part came in when there was a remainder. In Question 2, 630 divided by 60.
Student A: “By following the previous example, we know that 630 divided by 60 is the same as 63 divided by 6. Ten 6s goes into 60, which gives a remainder of 3. The answer is 10 R 3.“
Student B: “No. Ten 60 goes into 600, so the remainder should be 30, not 3!”
Why is there a difference?…

## Squares and Triangles

One day after class, a parent came to me and ask about a question he saw in one of the challenging questions I gave to the students. He said he would (as would many adults) solve this using simultaneous equations (or System of linear Equations) but would like to know how to teach his kid in 3rd grade without the use of algebra. I invited him to stay for a while to observe the next class. Students were given Think-Pair-Share to solve that particular question and after minutes of work time, a student raised her hand and this is what she came up with.

## Free worksheet – Counting the Twelve Days of Christmas

How about a little math twist on a familiar Christmas carol? I am sure we are all familiar with the “Twelve days of Christmas”, but has it occurred to you that the number of presents that “my true love sent to me” is a sequence of Triangular Numbers? In this free worksheet, you’ll be asked to count the number of gifts you will receive on each day (there is a trick to it) and the total number of gifts you will receive up to the n-th day. Suggested solutions are provided at the end (don’t peek).

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