Understanding Addition ................................................................99 Understanding Multiplication ..................................................... 100  Understanding Subtraction ......................................................... 100  Understanding Division................................................................101  The Four Operations With Numbers Up To 5 ............................. 103  The Use Of Brackets..................................................................... 104  Exploring The Number System ................................................... 107  Progression In Written Exercises ................................................ 109  Varying The Exercises................................................................... 111

Chapter 6 Teaching The Basic Concepts Of A Fraction ................................................................................. 113 Quotition And Partition In Division .............................................113  Quotition ....................................................................................... 115  Partition ........................................................................................116  The Study Of Fractions ................................................................. 117  Prerequisites For Work In Fractions ............................................ 117  Fractions As Relations Between Two Numbers ...........................118  Fractions With Numerators Greater Than One .......................... 120  Gattegno’s Exercises In ‘Mathematics’ .........................................121  Fractions As Operators ................................................................ 122  Equivalence Of Fractions ............................................................. 129

Chapter 7 The Study Of Numbers Up To 20 ..............133 Numbers May Be Studied In Any Order...................................... 134  Study Of A Particular Number..................................................... 135  Adding The Lengths Of A Handful Of Rods ................................ 138  Using Staircases For Exercises In Counting................................ 140

The Cuisenaire Gattegno method of teaching Mathematics

The Cuisenaire Gattegno method of teaching Mathematics

The Cuisenaire Gattegno method of teaching Mathematics

The Cuisenaire Gattegno method of teaching Mathematics