# teachmath

## Using Bar Models for Problem Solving – Experience from Singapore Math Workshop at Columbia University 2016

In one of my recent school visits, I was doing a lesson study on a Grade 3 class. The class is diverse, some are still struggling with multiplication and division while the rest of mastered the topic and ready to move on. This is not uncommon in many classrooms, but how does the teacher introduce problem solving in such a diverse class? During the lesson study, we starting by introducing questions that focuses on logic and reasoning, with basic concepts on multiplication and division, keeping the numbers small and not overwhelming.

## Singapore Math Workshop at Columbia University Teachers College 2016

After a very successful session last year, we are privileged to be invited back to Columbia University Teachers College to present a Singapore Math Workshop to teacher residents as part the Teaching Residents at Teachers College TR@TC program. Focusing on Singapore Strategies, we had a great evening discussing topics such as ways to better support students, the importance of striking a balance between conceptual understanding and procedural fluency, and the role of problem solving in our day to day classrooms.

## Leap year fun facts

It is a leap year and that means March comes one day later this year! Bet you have been teaching your kids all about leap year calculations this month, but did you know that leap years don’t always happen every four years? According to Wikipedia: Some exceptions to this basic rule are required since the

## New product announcement! 2nd Grade Morning Work and Review – Subtraction for numbers to 1000

Our new set of morning work daily practice on “Subtraction to 1,000” is ready! Click here to learn more. Like many educators, we understand the difficulties of this topic and tried to come up with a product that emphasizes conceptual understanding.and linking this understanding to procedural fluency with lots of practice opportunities. Many teachers and

## 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.

## 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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