Introduction to algebra

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

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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.

Activity No #

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• Estimated Time - 15 minutes
• Materials/ Resources needed

Open space, match sticks, blackboard

• Prerequisites/Instructions, if any
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• Process/ Developmental Questions

Ask children to make the letter "Z" from sticks. Each group to make as many Z as possible within 5 minutes. Discussion questions

1. How many sticks were needed for 1 "Z"?
2. How many sticks were needed for 2 "Z"?
3. ....
4. How many sticks were needed for n "Z"?
5. Children have you noticed any relationship between the number of "Z"s formed and the number of sticks used to form the letter "Z"?

Outcome: 3n sticks are required to form "Z" n-times. Children observe the variation in number of sticks when number of "z"s is increased /decreased. The discussion has ended up with children generalizing the pattern they observed.

1. The number of matchstick depended on what?

Outcome: The number of matchstick is a variable and will depend on number of "Z"

• Evaluation

1. Ask children to make matchstick patterns for other letters, like "F", "A", "W"
2. Make patterns of 1Z, 2Z, 3Z, 4Z and ask children to generalize patterns

• Question Corner

Activity No #

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Concept #2 Algebraic thinking - Analysis

Activity No #

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Activity No #

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Concept #3 Algebraic thinking - Forming expression

Activity No #

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Activity No #

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Concept #4 Algebraic thinking - Manipulating algebraic expressions

Activity No #

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Activity No #

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