Difference between revisions of "Introduction to algebra"

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#Activity 2 - [[Introduction_to_algebra_abstraction_activity_2|More Match sticks!!]]
 
#Activity 2 - [[Introduction_to_algebra_abstraction_activity_2|More Match sticks!!]]
  
===Activity No # ===
 
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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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
 
 
*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==
+
==Concept #2 Algebraic thinking - Arithmetic Abstraction==
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
===Activity No # ===
+
===Activities===
{| style="height:10px; float:right; align:center;"
+
#Activity 1 - [[Introduction_to_arithmetic_abstraction_activity_1|Play with numbers]]
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
+
#Activity 1 - [[Introduction_to_arithmetic_abstraction_activity_1|Play with more numbers]]
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
  
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*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==
 
==Concept #3 Algebraic thinking - Forming expression==
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
 +
===Activities===
 +
 
===Activity No # ===
 
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
+
''[http://karnatakaeducation.org.in/?q=noivesiti/305 Click to Comment]''</div>
 
|}
 
|}
 
*Estimated Time
 
*Estimated Time

Revision as of 13:41, 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

  1. Activity 1 - Match stick abstraction
  2. Activity 2 - More Match sticks!!


Concept #2 Algebraic thinking - Arithmetic Abstraction

Learning objectives

Notes for teachers

Activities

  1. Activity 1 - Play with numbers
  2. Activity 1 - Play with more numbers


Concept #3 Algebraic thinking - Forming expression

Learning objectives

Notes for teachers

Activities

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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