Mathematics Manual 1
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1 Mathematics Manual 1 - Linear Counting - - Decimal System - - Memorization of Operations - Dr. Pamela Zell Rigg Copyright 2004 Montessori Research and Development Foothill Boulevard, San Leandro, CA (510) FAX (510)
2 INTRODUCTION 1. Statement of Philosophy
3 TABLE OF CONTENTS CHAPTER 1 INTRODUCTION...1 CHAPTER 2 LINEAR COUNTING...2 THE NUMBER RODS... 3 THE SANDPAPER NUMERALS... 9 THE NUMBER RODS AND NUMERALS THE SPINDLE BOXES THE NUMERALS AND COUNTERS THE MEMORY GAME WITH NUMERALS AND COUNTERS LINEAR COUNTING THE SHORT BEAD STAIR SNAKE GAME: SEARCH FOR TEN TEEN BOARD: QUANTITY TEEN BOARD: SYMBOLS TEEN BOARD: QUANTITY AND SYMBOLS NUMBER RODS - TEEN PRESENTATION TEN BOARD: QUANTITY TEN BOARD: SYMBOLS TEN BOARD: QUANTITY AND SYMBOLS ONE HUNDRED CHAIN AND LABEL ONE THOUSAND CHAIN AND LABELS ONE HUNDRED CHAIN AND ONE THOUSAND CHAIN ONE HUNDRED BOARD AND NUMERALS SQUARING CHAINS: ONE THROUGH TEN CUBING CHAINS: ONE THROUGH TEN CUBING CHAINS LAYOUT CHAPTER 3 BASE TEN INTRODUCTION TO THE DECIMAL SYSTEM: QUANTITY INTRODUCTION TO THE DECIMAL SYSTEM: SYMBOLS THE DECIMAL SYSTEM: ASSOCIATION OF QUANTITY AND SYMBOL FORMATION OF NUMERAL CARDS ADDITION WITH THE GOLDEN BEADS REGROUPING WITH THE GOLDEN BEADS FOR ADDITION AND MULTIPLICATION SUBTRACTION WITH THE GOLDEN BEADS REGROUPING WITH THE GOLDEN BEADSFOR SUBTRACTION AND DIVISION MULTIPLICATION WITH THE GOLDEN BEADS DIVISION WITH THE GOLDEN BEADS (ONE-DIGIT DIVISION) DIVISION WITH THE GOLDEN BEADS (TWO-DIGIT DIVISOR DECURIAN DIVISION ). 86
4 INTRODUCTION TO THE STAMP GAME FORMATION OF QUANTITY IN STAMPS ADDITION WITH THE STAMP GAME SUBTRACTION WITH THE STAMP GAME MULTIPLICATION WITH THE STAMP GAME DIVISION WITH THE STAMP GAME THE DOT BOARD: ADDITION INTRODUCTION TO THE BEAD FRAME INTRODUCTION TO THE BEAD FRAME WITH THE GOLDEN BEADS INTRODUCTION TO THE BEAD FRAME WITH NOTATION PAPER READING AND WRITING NUMBERS ON THE BEAD FRAME ADDITION WITH THE BEAD FRAME SUBTRACTION WITH THE BEAD FRAME CHAPTER IV MEMORIZATION INTRODUCTION TO MEMORIZATION WORK INTRODUCTION TO THE ADDITION STRIP BOARD ADDITION STRIP BOARD ADDITION CHART ADDITION CHART 4 (THE HALF TABLE) ADDITION CHART 5 (SIMPLIFIED CHART) ADDITION CHART 6 (BLANK CHART) ORAL GAMES FOR THE MEMORIZATION OF ADDITION ADDITION SNAKE GAME BEAD BARS FOR THE MEMORIZATION OF ADDITION BEAD BARS: COMMUTATIVE LAW BEAD BARS: MULTIPLE ADDENDS BEAD BARS: ADDENDS LARGER THAN TEN BEAD BARS: ASSOCIATIVE LAW BASIC FORMATS FOR ADDITION ADDITION STORY PROBLEMS INTRODUCTION TO THE SUBTRACTION STRIP BOARD SUBTRACTION STRIP BOARD ORAL GAMES FOR THE MEMORIZATION OF SUBTRACTION BASIC FORMATS FOR SUBTRACTION SUBTRACTION STORY PROBLEMS SUBTRACTION SNAKE GAME INTRODUCTION TO THE MULTIPLICATION BEAD BOARD MULTIPLICATION BEAD BOARD MULTIPLICATION BEAD BOARD: PREPARED EQUATION SLIPS MULTIPLICATION BEAD BOARD: COMBINATIONS OF NUMBER MULTIPLICATION CHART
5 MULTIPLICATION CHART MULTIPLICATION CHART 5 ( BINGO CHART or BLANK CHART ) ORAL GAMES FOR THE MEMORIZATION OF MULTIPLICATION BASIC FORMATS FOR MULTIPLICATION MULTIPLICATION STORY PROBLEMS SNAKE GAME FOR MEMORIZATION OF MULTIPLICATION CUBING CHAINS FOR THE MEMORIZATION OF MULTIPLICATION BEAD BARS FOR THE MEMORIZATION OF MULTIPLICATION CONSTRUCTION OF THE DECANOMIAL POWERS OF NUMBERS FURTHER EXPLANATION - POWERS OF NUMBERS INTRODUCTION TO THE UNIT DIVISION BOARD UNIT DIVISION BOARD DIVISION BEAD BOARD DIVISION CHART DIVISION CHART DIVISION STORY PROBLEMS RELATIONSHIPS OF MULTIPLICATION AND DIVISION ORAL GAMES FOR THE MEMORIZATION OF DIVISION BASIC FORMATS FOR DIVISION
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