Topic Index

Welcome to !

 * 1) Indexes


 * 1) Topic Index


 * 1) Topic Index with Summaries


 * 1) Introduction & Background


 * 1) Why we Learn Math in School?


 * 1) Why Math is Best Suited to Develop Thinking Skills


 * 1) The Reality of Math Education in Indian Schools


 * 1) How I Relearnt Primary School Math


 * 1) Documenting My Understanding of Primary Math


 * 1) The Primary Math Project


 * 1) Understanding Primary Math – For Effective Teaching


 * 1) Structure of the Book


 * 1) Math Prior to Schooling


 * 1) Math and Our Brain


 * 1) Math Prior to Schooling


 * 1) Early Days of Math in School


 * 1) Perceptual Numbers


 * 1) Number Sense & Pre-Number


 * 1) Strengthening Perceptual Numbers


 * 1) Number Sense


 * 1)  Development of Number Sense 1


 * 1)  Development of Number Sense 2


 * 1) Activity Based Learning


 * 1)  Learning Numbers - Framework for Activities


 * 1)  Advantages of ABL


 * 1)  Pre-Number Concepts 1


 * 1)  Pre-Number Concepts 2


 * 1)  Pre-Number Concepts 3


 * 1)  Spatial Skills


 * 1)  Single Digit Numbers


 * 1)  Single Digit Numbers


 * 1)  Representing Numbers 1-9


 * 1)  Number Representation 1-9


 * 1)  Representing Numbers 1-9


 * 1)  Finger Representation 1


 * 1)  Simple Counting


 * 1)  Complex Counting


 * 1)  Cardinal & Ordinal Numbers


 * 1)  Place Value Concept


 * 1)  Number Systems 1


 * 1)  Number Systems 2


 * 1)  Place Value in Daily Life


 * 1)  Place Value System


 * 1)  Understanding Place Value


 * 1)  Understanding Zero 1


 * 1)  Understanding Zero 2


 * 1)  Zero & Place Value System


 * 1)  Visualizing Place Value 1


 * 1)  Visualizing Place Value 2


 * 1)  Advantages of the Place Value System 1


 * 1)  Advantages of the Place Value System 2


 * 1)  Non-Decimal Place Value Systems


 * 1)  Multi-Digit Numbers


 * 1)  Representing Numbers 0-99


 * 1)  Number Representation - 2digit numbers


 * 1)  Finger Representation 2


 * 1)  Representing Numbers 0 – 999


 * 1)  Word Representation of Numbers


 * 1)  Number Names – Indian Tradition


 * 1)  Properties & Relations of Numbers


 * 1)  Properties of Numbers 1


 * 1)  Properties of Numbers 2


 * 1)  Properties of Number Sets


 * 1)  Relations Between Numbers


 * 1)  Number Theory


 * 1)  Prime Numbers


 * 1)  Fundamental Theorem of Arithmetic


 * 1)  Arithmetic Operation Metaphors – Addition & Subtraction


 * 1)  Arithmetic Operation Metaphors


 * 1)  Summary of Operation Metaphors


 * 1)  Addition Metaphors 1


 * 1)  Addition Metaphors 2


 * 1)  Subtraction Metaphors 1


 * 1)  Subtraction Metaphors 2


 * 1)  Addition & Subtraction Vocabulary


 * 1)  Arithmetic Operation Metaphors – Division & Multiplication


 * 1)  Division Metaphors 1


 * 1)  Division Metaphors 2


 * 1)  Origins of Multiplication 1


 * 1)  Origins of Multiplication 2


 * 1)  Multiplication Metaphors 1


 * 1)  Multiplication Metaphors 2


 * 1)  Teaching Operation Metaphors 1


 * 1)  Teaching Operation Metaphors 2


 * 1)  Neglect of Metaphors


 * 1)  Exponents


 * 1)  Scientific Notation


 * 1)  Arithmetic Operation Procedures – Addition & Subtraction


 * 1)  Abacus Vs Algorithm


 * 1)  Arithmetic Operations


 * 1)  Operational Fluency


 * 1)  Addition


 * 1)  Subtraction


 * 1)  Addition Fluency 1


 * 1)  Addition Fluency 2


 * 1)  Addition Fluency 3


 * 1)  Subtraction Fluency


 * 1)  Arithmetic Operation Procedures – Multiplication & Division


 * 1)  Multiplication 1


 * 1)  Multiplication 2


 * 1)  Multiplication Tables


 * 1)  Constructing the Multiplication Table


 * 1)  One Page Multiplication Table


 * 1)  Patterns in the Multiplication Table


 * 1)  Remembering Multiplication Facts


 * 1)  Multiplication – Other Methods


 * 1)  Logic of Finger Multiplication


 * 1)  Multiplication with Fingers


 * 1)  Division 1


 * 1)  Division 2


 * 1)  Division by 1-Digit Number


 * 1)  Division by 2-Digit Number 1


 * 1)  Division by 2-Digit Number 2


 * 1)  Multiplication table for 2-digit number


 * 1)  Divisibility Rules


 * 1)  Strengthening Number Sense


 * 1)  Strengthening Number Sense 1


 * 1)  Strengthening Number Sense 2


 * 1)  Number Patterns with 36 Tokens


 * 1)  Computing 18 X 5


 * 1) Math & Language


 * 1)  Language & Mathematics 1


 * 1)  Language & Mathematics 2


 * 1)  Language & Mathematics 3


 * 1)  Words with Multiple Meanings


 * 1)  Math as a Language 1


 * 1)  Math as a Language 2


 * 1) Word Problems


 * 1)  Purpose of Word Problems


 * 1)  Understanding Word Problems 1


 * 1)  Understanding Word Problems 2


 * 1)  Solving Word Problems 1


 * 1)  Constructing Math Problems


 * 1)  Components of a Math Story


 * 1)  Solving Word Problems 2


 * 1) Fractions


 * 1)  Understanding Fractions


 * 1)  Difficulties with Fractions


 * 1)  Fractions as Numbers 1


 * 1)  Fractions as Numbers 2


 * 1)  Representing Fractions 1


 * 1)  Representing Fractions 2


 * 1)  Representing Fractions 3


 * 1)  Types of Fractions


 * 1)  Whole & Part


 * 1)  Properties & Relations of Fractions


 * 1)  Addition of Fractions 1


 * 1)  Addition of Fractions 2


 * 1)  Addition of Fractions 3


 * 1)  Number Sense in Fractions


 * 1)  Fraction Multiplication


 * 1)  Fraction Division


 * 1)  Rational Numbers


 * 1)  Word Problems in Fractions 1


 * 1)  Word Problems in Fractions 2


 * 1)  Decimal Fractions & Numbers


 * 1)  Understanding Decimal Fractions 1


 * 1)  Understanding Decimal Fractions 2


 * 1)  Representing Decimal Fractions


 * 1)  Converting to Decimal Fractions 1


 * 1)  Converting to Decimal Fractions 2


 * 1)  Converting from Decimal Fractions


 * 1)  Operations on Decimal Fractions 1


 * 1)  Operations on Decimal Fractions 2


 * 1)  Decimals in Daily Life


 * 1)  Irrational Numbers


 * 1) Ratio & Proportion


 * 1)  Inculcating Reasoning Skills


 * 1)  Additive & Multiplicative Thinking


 * 1)  Additive Thinking


 * 1)  Multiplicative Thinking 1


 * 1)  Multiplicative Thinking 2


 * 1)  Ratios


 * 1)  Ratios in Daily Life


 * 1)  Ratios & Fractions


 * 1)  Proportional Thinking


 * 1)  Math of Proportions


 * 1) Integers


 * 1)  Understanding Integers


 * 1)  Integer Representation


 * 1)  Integer Operations 1


 * 1)  Integer Addition


 * 1)  Integer Subtraction


 * 1)  Integer Multiplication


 * 1)  Integer Operations 2


 * 1)  Integer Operations 3


 * 1)  Integers with Bottle Tops - Logic


 * 1)  Integer Operations with Bottle Tops 1


 * 1)  Integer Operations with Bottle Tops 2


 * 1)  Integer Operations with Bottle Tops 3


 * 1)  Number System


 * 1)  Development of Numbers 1


 * 1)  Development of Numbers 2


 * 1)  Development of Numbers 3


 * 1)  The Number line


 * 1)  Development of Numbers 4


 * 1)  Classification of Numbers 1


 * 1)  Classification of Numbers 2


 * 1)  Properties & Relations of Operations


 * 1)  Properties & Relations of Operations


 * 1)  Fundamental Laws of Arithmetic


 * 1)  Order of Operations


 * 1)  Geometry – Lines & Angles


 * 1)  What is Geometry


 * 1)  Geometry Curriculum Framework


 * 1)  Space We Live In


 * 1)  Solids


 * 1)  Plane Geometry


 * 1)  Lines & Points


 * 1)  Multiple Lines & Shapes 1


 * 1)  Paper Folding Activities


 * 1)  Multiple Lines & Shapes 2


 * 1)  Understanding Angles 1


 * 1)  Understanding Angles 2


 * 1)  Angles – Critical Thinking


 * 1)  More About Angles


 * 1)  Angle Types & Measures 1


 * 1)  Angle Types & Measures 2


 * 1)  Special Pairs of Angles 1


 * 1)  Special Pairs of Angles 2


 * 1)  Parallel Lines


 * 1)  Operations with Angles


 * 1)  Geometry – Plane Figures


 * 1)  Triangles - Basic Concepts


 * 1)  Types of Triangles


 * 1)  Types of Triangles


 * 1)  Triangles – Four Centres


 * 1)  Triangles – Congruency & Similarity


 * 1)  Triangle Concepts Summary


 * 1)  Pythagoras Theorem


 * 1)  Pythagoras Theorem – A Visual Proof


 * 1)  Quadrilaterals


 * 1)  Types of Quadrilaterals


 * 1)  Parallelogram Family


 * 1)  Other Polygons


 * 1)  Curved Figures


 * 1)  Symmetry of Plane Figures


 * 1)  Symmetry of Plane Figures


 * 1)  Circles 1


 * 1)  Circles 2


 * 1) Measurement


 * 1)  Understanding Measurement


 * 1)  Story of Measurement 1


 * 1)  Measurement of Time


 * 1)  Story of Measurement 2


 * 1)  International System of Measurements


 * 1)  The SI System


 * 1)  Measurement – The Future


 * 1) Mensuration


 * 1)  Perimeter


 * 1)  Area


 * 1)  Activities on Perimeter & Area


 * 1)  Volume & Surface Area


 * 1)  Math in Other School Subjects


 * 1)  Math and Other School Subjects


 * 1)  Math & Physical Sciences


 * 1)  Math & Social Sciences


 * 1)  Math & Biological Sciences


 * 1)  Math & Performing Arts


 * 1)  Math & Visual Arts


 * 1)  Math & Sports


 * 1)  Math in Our Life


 * 1)  Math in our Life


 * 1)  Math with the Clock


 * 1)  Expenses & Income


 * 1)  Understanding Business


 * 1)  Understanding Percentage


 * 1)  Sale Purchase, Profit & Loss


 * 1)  Work, Labor & Wages


 * 1)  Banking Operations


 * 1)  Presenting Data


 * 1)  Interpreting Data


 * 1)  Statistics


 * 1)  Distance, Time & Speed


 * 1)  Estimation in Daily Life


 * 1)  International Paper Sizes


 * 1)  Digital Technology


 * 1)  Basic Algebra


 * 1)  Algebraic Thinking


 * 1)  Variables & Constants


 * 1)  Language of Algebra


 * 1)  Algebraic Expressions 1


 * 1)  Algebraic Expressions 2


 * 1)  Visualizing Algebraic Expressions 1


 * 1)  Visualizing Algebraic Patterns


 * 1)  Visualizing Algebraic Expressions 2


 * 1)  Simple Equations


 * 1)  Solving Simple Equations


 * 1)  Coordinate Geometry


 * 1) Math & Development of Logic


 * 1)  Euclid & Logical Thinking


 * 1)  Logic & Proof – 1


 * 1)  Logic & Proof – 2


 * 1)  Proofs by Sight


 * 1)  Euclid’s Fifth Postulate


 * 1)  Proof in Indian Mathematics


 * 1)  Types of Thinking


 * 1)  School Math Curriculum (K-8)


 * 1)  Criticality of Primary Math


 * 1)  Numbers in Pre-Primary


 * 1)  Numbers in Primary K-5


 * 1)  Math Through Activities


 * 1)  Misconceptions in School Math 1


 * 1)  Misconceptions in School Math 2


 * 1)  Unstated Assumptions


 * 1)  Primary Math Curriculum – A Relook


 * 1)  Primary Math Curriculum – Graphic Framework


 * 1)  Recreational Math


 * 1)  Recreational Math


 * 1)  Folk Mathematics


 * 1)  Math Explorations


 * 1)  Magic Squares


 * 1)  Math Puzzles


 * 1)  Math Games


 * 1)  Math Jokes


 * 1)  Math Cartoons


 * 1)  Number Patterns


 * 1)  Topics for Math Projects


 * 1)  Math Projects


 * 1)  The Number π


 * 1)  Fibonacci Sequence & the Golden Ratio


 * 1)  Fermat’s Last Theorem


 * 1)  Bridges of Konigsberg


 * 1)  Famous Conjectures


 * 1)  Srinivasa Ramanujan


 * 1)  Math Quotations


 * 1)  Modular Arithmetic


 * 1)  Logarithms


 * 1)  Spherical Geometry


 * 1)  Factorials


 * 1)  Indian Mathematical Tradition


 * 1)  Topics for Teacher Enrichment


 * 1)  Dyscalculia


 * 1)  Math Savants


 * 1)  Math Phobia


 * 1)  Concepts & Conventions


 * 1)  What is Mathematics 1


 * 1)  What is Mathematics 2


 * 1)  Vedic mathematics


 * 1) Bibliography


 * 1)  Bibliography