Topic Index

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 * 1) Indexes


 * 1) Topic Index


 * 1) Topic Index with Summaries


 * 1) Topic Index Questions


 * 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 (A)


 * 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)  Pre-Number Concepts


 * 1) Strengthening Perceptual Numbers


 * 1) Pre-Number Concepts 1


 * 1) Pre-Number Concepts 2


 * 1) Pre-Number Concepts 3


 * 1) Spatial Skills


 * 1)  Number Sense


 * 1) Number Sense


 * 1) What is Number Sense?


 * 1) Discovery of Number Sense


 * 1) The Difficulty with Number Sense


 * 1) Criticality of Number Sense


 * 1) Acquiring Number Sense - 1


 * 1) Acquiring Number Sense - 2


 * 1) Teaching Number Sense


 * 1) The Number Line 1


 * 1) Development of Number Sense 1


 * 1) Development of Number Sense 2(A)


 * 1)  Activity Based Learning


 * 1) Activity Based Learning


 * 1) Learning Numbers - Framework for Activities(A)


 * 1) Advantages of ABL


 * 1)  Single Digit Numbers


 * 1) Single Digit Numbers


 * 1) Representing Numbers 1-9


 * 1) Representation of Single Digit Numbers – By Matching(A)


 * 1) Representing Numbers 1-9 using real life examples (A)


 * 1) Finger Representation 1


 * 1) Simple Counting 1


 * 1) Simple Counting 2


 * 1) Complex Counting


 * 1) Cardinal & Ordinal Numbers


 * 1) Knowledge for Class 1


 * 1) Numbers and Magnitudes


 * 1) Importance of Fingers in Math


 * 1)  Place Value Concept


 * 1) Number Systems 1


 * 1) Number Systems 2


 * 1) Place Value in Daily Life


 * 1) Place Value System - 1


 * 1) Place Value System - 2


 * 1) Understanding Place Value (A)


 * 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-Standard Representations


 * 1) Non-Decimal Place Value Systems


 * 1) Test for Understanding Place Value


 * 1)  Multi-Digit Numbers
 * 2)  Representing Numbers 0-99


 * 1)  Number Representation - 2-digit numbers(A)


 * 1)  Finger Representation 2


 * 1)  Representing Numbers 0 – 999


 * 1)  Word Representation of Numbers


 * 1) Comprehending Very Large Numbers


 * 1) Number Names – Indian Tradition


 * 1) Digit, Numeral & Number


 * 1)  Properties of Numbers
 * 2) Properties of Numbers 1


 * 1) Properties of Numbers 2


 * 1) Properties of Number Sets


 * 1) Relations Between Numbers


 * 1) Triangle & Square Numbers


 * 1) Number Theory


 * 1) Prime Numbers


 * 1) Fundamental Theorem of Arithmetic


 * 1) Why is Zero an even number?


 * 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) More Addition & Subtraction Metaphors


 * 1) Addition & Subtraction Metaphors - Summary


 * 1) Addition & Subtraction Vocabulary(A)


 * 1)  Arithmetic Operation Metaphors – Division & Multiplication


 * 1) Division Metaphors 1


 * 1) Division Metaphors 2


 * 1) Origins of Multiplication


 * 1) Origins of Multiplication 1


 * 1) Origins of Multiplication 2


 * 1) Multiplication Metaphors 1


 * 1) Multiplication Metaphors 2


 * 1) Multiplication Metaphors 3


 * 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) 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(A)


 * 1) Patterns in the Multiplication Table


 * 1) Remembering Multiplication Facts


 * 1) Multiplication – Other Methods


 * 1) Multiplication with Fingers


 * 1) Logic of Finger Multiplication


 * 1) Division 1


 * 1) Division 2


 * 1) Division by 1-Digit Number(A)


 * 1) Division by 2-Digit Number 1(A)


 * 1) Division by 2-Digit Number 2(A)


 * 1) Multiplication table for 2-digit number(A)


 * 1) Divisibility Rules


 * 1)  Strengthening Number Sense


 * 1) Strengthening Number Sense 1


 * 1) Strengthening Number Sense 2


 * 1) Operational Fluency


 * 1) Number & Math Talks


 * 1) Using Problem Strings


 * 1) Open-Ended Problems


 * 1) Number Patterns with 36 Tokens(A)


 * 1) Computing 18 X 5(A)


 * 1) Math & Language


 * 1) Language & Mathematics 1


 * 1) Language & Mathematics 2


 * 1) Language & Mathematics 3


 * 1) Words with Multiple Meanings(A)


 * 1) Math as a Language 1


 * 1) Math as a Language 2(A)


 * 1) Math Words in Daily Language
 * 2) Math Notations & Symbols


 * 1) A list of Symbol Names


 * 1) Multiple Meanings of the = & - Signs


 * 1) Language & Word Problems


 * 1) Word Problems


 * 1) Purpose of Word Problems


 * 1) What is Mathematical Thinking?


 * 1) Understanding Word Problems 1


 * 1) Understanding Word Problems 2


 * 1) Solving Word Problems 1


 * 1) Teaching Word Problems


 * 1) Constructing Word Problems


 * 1) Components of a Math Story(A)


 * 1) Solving Word Problems 2


 * 1) Word Problems on Number Properties


 * 1) Problems With Multiple Answers


 * 1) Numberless Word Problems


 * 1) Fractions


 * 1) Understanding Fractions


 * 1) Difficulties with Fractions


 * 1) Fractions as Numbers 1


 * 1) Fractions as Numbers 2


 * 1) Fractions - Two Perspectives


 * 1) Representing Fractions 1


 * 1) Representing Fractions 2


 * 1) Representing Fractions 3


 * 1) Types of Fractions


 * 1) Equivalent 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) Mathematical Reasoning & Proof


 * 1) Inculcating Reasoning Skills


 * 1) Additive & Multiplicative Thinking


 * 1) Additive Thinking


 * 1) Multiplicative Thinking 1


 * 1) Multiplicative Thinking 2


 * 1) Proportional Thinking


 * 1) Problems to Think About


 * 1) Ratio Table


 * 1) Problems with Multiple Answers


 * 1)  Ratio & Proportion


 * 1) Ratios


 * 1) Ratios in Daily Life


 * 1) Ratios & Fractions


 * 1) Math of Proportions


 * 1) Integers


 * 1) Understanding Integers 1


 * 1) Understanding Integers 2


 * 1) Representation of Integers


 * 1) Integer Experiences in Daily Life


 * 1) Integer Operations - 1


 * 1) Integer Operations - 2


 * 1) integer Multiplication 1 (A)


 * 1) Integer Addition (A)


 * 1) Integer Subtraction (A)


 * 1) Integer Multiplication 2 (A)


 * 1) Integers in the Classroom - 1


 * 1) Integers in the Classroom - 2


 * 1) Integer Additions With Bottle Tops (A)


 * 1)  Fundamental Laws of Arithmetic


 * 1) Axioms of Arithmetic 1


 * 1) Axioms of Arithmetic 2


 * 1) Fundamental Laws of Arithmetic


 * 1) Axiom of Closure


 * 1) Order of Operations


 * 1) Properties & Relations of Operations


 * 1)  Development of the Number System


 * 1) Development of Numbers 1


 * 1) Development of Numbers 2


 * 1) Development of Numbers 3


 * 1) The Number Line 2


 * 1) Development of Numbers 4


 * 1) Classification of Numbers 1(A)


 * 1) Classification of Numbers 2(A)


 * 1)  Geometry – Lines & Angles


 * 1) What is Geometry


 * 1) Geometry Curriculum Framework(A)


 * 1) Space We Live In


 * 1) Solids


 * 1) Plane Geometry


 * 1) Lines & Points


 * 1) Multiple Lines & Shapes 1


 * 1) Paper Folding Activities(A)


 * 1) Multiple Lines & Shapes 2


 * 1) Understanding Angles 1


 * 1) Understanding Angles 2


 * 1) Angles – Critical Thinking(A)


 * 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(A)


 * 1) Triangles – Four Centres


 * 1) Triangles – Congruency & Similarity


 * 1) Triangle Concepts Summary(A)


 * 1) Properties of Triangles - Activity


 * 1) Pythagoras Theorem


 * 1) Pythagoras Theorem – A Visual Proof(A)


 * 1) Quadrilaterals


 * 1) Types of Quadrilaterals(A)


 * 1) Parallelogram Family


 * 1) Other Polygons


 * 1) Curved Figures


 * 1) Symmetry of Plane Figures


 * 1) Circles 1


 * 1) Circles 2


 * 1) Conic Sections


 * 1) Finding Approximate Value of π


 * 1) Geometric Solids


 * 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 &amp; Area(A)


 * 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 & Geography


 * 1) Math & Astronomy


 * 1) Math & Biological Sciences


 * 1) Math & Performing Arts


 * 1) Math & Visual Arts


 * 1) Math & Sports


 * 1) Math & Computer Science
 * 2)  Math in Our Life


 * 1) Math, Nature & Universe


 * 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) Innumeracy


 * 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(A)


 * 1) Visualizing Algebraic Expressions 2


 * 1) Simple Equations


 * 1) Solving Simple Equations


 * 1) Coordinate Geometry


 * 1) Mathematical Thinking


 * 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)  Math Education in Schools (K-8)


 * 1) Criticality of Primary Math


 * 1) Role of Writing in Math


 * 1) Numbers in Pre-Primary


 * 1) Numbers in Primary K-5


 * 1) Math Through Activities


 * 1) Studying History of Math


 * 1) Mathemagic Centre


 * 1) Math Bulletin Boards


 * 1) Misconceptions in School Math 1


 * 1) Misconceptions in School Math 2


 * 1) Unstated Assumptions


 * 1) The Problem With Math Textbooks


 * 1) Math in the Primary School - A Honest Look


 * 1) Primary Math Curriculum – A Relook


 * 1) Primary Math Curriculum – Graphic Framework(A)


 * 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) Math Poems


 * 1) Number Patterns


 * 1) Math Puns


 * 1) Math Related Idioms & Proverbs


 * 1)  Topics for Math Projects


 * 1) Math Projects


 * 1) The Number π


 * 1) Fibonacci Sequence & the Golden Ratio


 * 1) Pascal's Triangle


 * 1) Fermat’s Last Theorem


 * 1) Bridges of Konigsberg


 * 1) Famous Conjectures


 * 1) Srinivasa Ramanujan


 * 1) National Mathematics Day


 * 1) Math Quotations


 * 1) Excerpts from Books on Math


 * 1) Modular Arithmetic


 * 1) Logarithms


 * 1) Spherical Geometry


 * 1) Volume Relations


 * 1) Factorials


 * 1) Indian Mathematical Tradition


 * 1) Pythagoras Theorem - Visual Proofs


 * 1) Proofs Without Words


 * 1) Four Colour Map Theorem


 * 1) Fractals


 * 1) The Mobius Strip


 * 1)  Topics for Teacher Enrichment


 * 1) Beauty & Math


 * 1) Dyscalculia


 * 1) Math Savants


 * 1) Math Phobia


 * 1) Concepts & Conventions


 * 1) Vedic mathematics


 * 1) Transcendental Numbers


 * 1) Imaginary & complex Numbers


 * 1) Role of Jokes in Math


 * 1) Words for Huge Numbers


 * 1) Set Theory


 * 1) Non-Numerical Math Activities


 * 1) What is Infinity


 * 1) Operations involving 0


 * 1) Random Numbers


 * 1) A Time Line for Math


 * 1) Movies Based in Math


 * 1) Fields Medal


 * 1)  Math & the Sciences


 * 1) Math & Sciences - A Symbiotic Relation


 * 1) Math & the Sciences as Twins


 * 1) Math - the Toolkit of the Sciences


 * 1) Rhetorical Math to Symbolic Math


 * 1) Math - the Vehicle of the Sciences


 * 1) Math - the Engine of the Sciences


 * 1) Self-Propelled Math


 * 1)  What is Mathematics


 * 1) What is Mathematics 1


 * 1) What is Mathematics 2


 * 1) Nature of School Math


 * 1) Factual Knowledge


 * 1) Conceptual Knowledge


 * 1) Procedural Knowledge


 * 1) Attitudes & Beliefs


 * 1) Teaching Concepts


 * 1) Teaching Facts & Information


 * 1) Teaching Procedures


 * 1) Transformation of Math - 1


 * 1) Transformation of Math - 2


 * 1) Transformation of Math - 3


 * 1) Power and Limits of Math


 * 1) Math - Discovered or Invented?


 * 1) Definitions of Math


 * 1) Bibliography


 * 1) Bibliography

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