Introduction to algebra

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

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Teaching Outlines

Concept #1 Algebraic thinking - Abstraction

Learning objectives

1. To make meaning from patterns
2. Able to extend patterns
3. Able to state observed pattern in generalized terms

Notes for teachers

Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization.

Activities

1. Activity 1 - Match stick abstraction

Activity No #

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• Estimated Time 20 minutes
• Materials/ Resources needed

Match sticks/sticks and black board

• Prerequisites/Instructions, if any

Children have understood the variation of data and are able to generalise the pattern

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• Process/ Developmental Questions

Divide children into convenient groups. Provide them match sticks, 50 each. Ask them to form the letter "Z" using sticks and keep 2 sticks below "z" as stem. In the next step let them form 2 "z"s and keep 2 sticks below them as stem. Further let them form 3 "Z"s and keep 2 sticks below them as stem. Now initiate the discussion. Discussion Questions: Can you find any pattern between the number of sticks used to form the number of "Z"s and the number of sticks used to make mounting stems. Facilatate children to discover the pattern 3n+2. It is the right time to introduce the term "constant" In this case it is 2. It is also time to introduce the term "coefficient". In this case coefficient of n is 3.

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Concept #2 Algebraic thinking - Analysis

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Concept #3 Algebraic thinking - Forming expression

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Concept #4 Algebraic thinking - Manipulating algebraic expressions

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