Arrow cards are a simple manipulative to grasp place value or more generally the base-ten number-writing system that we use. Dr. Maria Montessori invented the static cards shown in Figure 1. These cards are used along with proportional material like static beads (unit = single bead, ten = 10 beads strung together forming a line, hundred = 10 tens strung together to form a square and thousand = 10 hundreds strung to form a cube) to gain a sense of numbers – the quantities they indicate and the numerals that represent them and how they are linked.

Shailesh Shirali


Hriday Kant Dewan

Before we begin certain issues entwined with the word “Pedagogy” need to be pointed out and B elaborated. This word is commonly used as a convenient hold all but because of this and in some contexts inspite of this it still cannot be completely discussed by itself.  To explore its implications some other key elements need to be specified.

Can Pedagogy stand by itself?

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:

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.

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.

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

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.

Read on some interesting problems concerning rational 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.


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