# numbers

## Using Ten Frames inside your Classroom

Ten-frames are relatively new to India. They are very useful at the beginning for learning the single-digit numbers. They also facilitate automatization of addition facts with single digit numbers. In addition, they can provide a lot of conceptual clarity wrt odd-even.

Three versions are included:

## Representing Numbers

This worksheet makes the kids play with numbers and appreciate how these numbers (1-9) can be represented in different ways. Please add your feedback, especially after using it in your classroom.

## Basic counting and why do we need to count?

The idea of the basic counting module is to look beyond just numbers to figure out why we need numbers at all, why do we count and how does it help us.  This is the building block towards understanding systematic listing, thinking and reasoning skills in higher classes.

## Basic counting and why do we need to count?

This worksheet accompanies the lesson plan Basic counting and why do we need to count. This class covers basic counting, using real-life examples.

## Integers

The understanding of integers and negative numbers in particular poses certain challenges for many people. One difficulty lies with the fact that the negative sign appears along with a number to indicate an object, a number, but the same negative sign is also used for the operation of subtraction.I have shared here an approach which I have learnt from Shri P. K. Srinivasan. I have used it for many years successfully with many batches of students and shared it with many teachers in workshop settings.

## Problems concerning rational numbers

Read on some interesting problems concerning rational numbers

## Sums of Consecutive Natural Numbers

Swati Sircar and Sneha Titus, writing on the Sums of Consecutive Natural Numbers, show how mental mathematics becomes visual all of a sudden, and this Low Floor High Ceiling activity is sure to appeal to a variety of learning styles.

## A strange case of banned numbers

They say the pen is mightier than the sword, and authorities have often agreed. From outlawed religious tracts and revolutionary manifestos to censored and burned books, we know the potential power of words to overturn the social order. But as strange as it may seem, some numbers have also been considered dangerous enough to ban. Alessandra King details the history behind illegal numbers.

## The sense of shape, size and numbers through art

David Horsburgh, the foremost practioner of Activity Based Learning in India, in his book Thinking & Doing illustrates how it is possible to shift the agency into the hands of the learners, teacher becoming almost a redundant facilitator in the background.

Here is an annotated excerpt of 10 pages from that celebrated book.

## Adding on a number scale, playfully

The game featuring Ali, the ant helps the learners comprehend that adding positive integers makes the number bigger. It also gives them the practice of using a scale & number line.

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