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# Changing the Face of Math Education Book 1 Chapter 3

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Number Sense and Counting
3.1 Introduction…34
3.2 Number Sense and Counting with objects…35
3.3 Number Sense and Counting with Other Base Frames…41
3.4 Counting Activities to Lay the Groundwork for Addition…46
3.5 Counting Activities to Lay the Groundwork for Subtraction…48
3.6 Counting Activities to Lay the Groundwork for Multiplication…50
3.7 Counting Activities to Lay the Groundwork for Division…52
3.8 Practice Exercises for Chapter 3…53

Material in this chapter is normally the first concepts taught to students.

In this chapter, you will be introduced to activities that will help enhance a student’s number sense and counting skills. Counting and number sense are probably the two biggest fundamental concepts of mathematics a student needs for success in math.

You will be shown how to use ten frames to build a strong conceptual understanding of a two digit numeral and how the ten frame idea may be used to count out a given number of objects. You will also learn how ten frames may be used later to develop a conceptual understanding of addition and subtraction facts.

You will be shown how a two digit numeral in another number base may be represented using base frames in a similar manner as the conceptual understanding used in base ten and how the base frame idea may be used to count out a given number of objects in other number bases. You will also learn how base frames may be used later in a similar fashion as base ten frames to develop addition and subtraction facts in other number bases. By working in other number bases, you will have the opportunity to experience some of the same feelings your students will have when learning base ten.

You will also be introduced to using counting activities to lay a conceptual foundation for multiplication and division.

This chapter is more about using activities to develop a conceptual number sense and develop the concept of counting by different numbers than working problems.
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30 Pages
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