Difference between revisions of "Introduction to algebra"

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===Notes for teachers===
 
===Notes for teachers===
 
Abstraction is generalizing the thinking.  So here will focus on activities to build skills of generalization.   
 
Abstraction is generalizing the thinking.  So here will focus on activities to build skills of generalization.   
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===Activity No # ===
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===Activities===
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*Estimated Time - 15 minutes
 
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*Materials/ Resources needed
 
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Open space, match sticks, blackboard
 
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*Prerequisites/Instructions, if any
 
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*Multimedia resources
 
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*Website interactives/ links/ / Geogebra Applets
 
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*Process/ Developmental Questions
 
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Ask children to make the letter "Z" from sticks.  Each group to make as many Z as possible within 5 minutes. 
 
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'''Discussion questions'''
 
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#How many sticks were needed for 1 "Z"?
 
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#How many sticks were needed for 2 "Z"?
 
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#....
 
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#How many sticks were needed for n "Z"?
 
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#Children have you noticed any relationship between the number of "Z"s formed and the number of sticks used to form the letter "Z"?
 
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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.
 
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The discussion has ended up with children generalizing the pattern they observed.
 
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#The number of matchstick depended on what?
 
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Outcome: The number of matchstick is a variable and will depend on number of "Z"
 
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*Evaluation
 
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#Ask children to make matchstick patterns for other letters, like "F", "A", "W"
 
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#Make patterns of 1Z, 2Z, 3Z, 4Z and ask children to generalize patterns
 
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*Question Corner
 
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===Activity No # ===
 
===Activity No # ===
 
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Revision as of 08:17, 24 August 2014

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

Error: Mind Map file Introduction to algebra.mm not found



Textbook

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Additional Information

Useful websites

Reference Books

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

Activity No #

  • 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

  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • 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.

  • Evaluation
  • Question Corner

Concept #2 Algebraic thinking - Analysis

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Concept #3 Algebraic thinking - Forming expression

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Concept #4 Algebraic thinking - Manipulating algebraic expressions

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Hints for difficult problems

Project Ideas

Math Fun

Usage

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