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Index
THE PSYCHOLOGY OF ARITHMETIC
PREFACE CONTENTS GENERAL INTRODUCTION THE PSYCHOLOGY OF THE ELEMENTARY SCHOOL SUBJECTS THE PSYCHOLOGY OF ARITHMETIC
THE PSYCHOLOGY OF ARITHMETIC
CHAPTER I THE NATURE OF ARITHMETICAL ABILITIES
KNOWLEDGE OF THE MEANINGS OF NUMBERS
THE SERIES IDEA OVEREMPHASIZED THE RATIO IDEA OVEREMPHASIZED THE RELATIONAL IDEA OVEREMPHASIZED ARITHMETICAL LANGUAGE PROBLEM-SOLVING Samples of Desirable Applications of Arithmetic in Problems where the Situation is Actually Present to Sense in Whole or in Part Samples of Desirable Applications of Arithmetic where the Situation is Not Present to Sense A B C Samples of Undesirable Applications of Arithmetic[1] ARITHMETICAL REASONING SUMMARY THE SOCIOLOGY OF ARITHMETIC
CHAPTER II THE MEASUREMENT OF ARITHMETICAL ABILITIES
A SAMPLE MEASUREMENT OF AN ARITHMETICAL ABILITY: THE ABILITY TO ADD INTEGERS
MEASUREMENTS OF ABILITIES IN COMPUTATION MEASUREMENTS OF ABILITY IN APPLIED ARITHMETIC: THE SOLUTION OF PROBLEMS TEST 1
CHAPTER III
THE CONSTITUTION OF ARITHMETICAL ABILITIES
THE ELEMENTARY FUNCTIONS OF ARITHMETICAL LEARNING KNOWLEDGE OF THE MEANING OF A FRACTION KNOWLEDGE OF THE SUBTRACTION AND DIVISION TABLES LEARNING THE PROCESSES OF COMPUTATION
CHAPTER IV
THE CONSTITUTION OF ARITHMETICAL ABILITIES (CONTINUED): THE SELECTION OF THE BONDS TO BE FORMED
THE IMPORTANCE OF HABIT-FORMATION DESIRABLE BONDS NOW OFTEN NEGLECTED WASTEFUL AND HARMFUL BONDS GUIDING PRINCIPLES
CHAPTER V
THE PSYCHOLOGY OF DRILL IN ARITHMETIC: THE STRENGTH OF BONDS
THE NEED OF STRONGER ELEMENTARY BONDS EARLY MASTERY THE STRENGTH OF BONDS FOR TEMPORARY SERVICE THE STRENGTH OF BONDS WITH TECHNICAL FACTS AND TERMS THE STRENGTH OF BONDS CONCERNING THE REASONS FOR ARITHMETICAL PROCESSES PROPÆDEUTIC BONDS
CHAPTER VI
THE PSYCHOLOGY OF DRILL IN ARITHMETIC: THE AMOUNT OF PRACTICE AND THE ORGANIZATION OF ABILITIES
THE AMOUNT OF PRACTICE UNDERLEARNING AND OVERLEARNING THE ORGANIZATION OF ABILITIES
CHAPTER VII
THE SEQUENCE OF TOPICS: THE ORDER OF FORMATION OF BONDS
DECREASING INTERFERENCE AND INCREASING FACILITATION INTEREST GENERAL PRINCIPLES
CHAPTER VIII THE DISTRIBUTION OF PRACTICE
THE PROBLEM SAMPLE DISTRIBUTIONS
POSSIBLE IMPROVEMENTS
CHAPTER IX
THE PSYCHOLOGY OF THINKING: ABSTRACT IDEAS AND GENERAL NOTIONS IN ARITHMETIC[11]
RESPONSES TO ELEMENTS AND CLASSES FACILITATING THE ANALYSIS OF ELEMENTS SYSTEMATIC AND OPPORTUNISTIC STIMULI TO ANALYSIS ADAPTATIONS TO ELEMENTARY SCHOOL PUPILS
CHAPTER X
THE PSYCHOLOGY OF THINKING: REASONING IN ARITHMETIC
THE ESSENTIALS OF ARITHMETICAL REASONING REASONING AS THE COÖPERATION OF ORGANIZED HABITS
CHAPTER XI
ORIGINAL TENDENCIES AND ACQUISITIONS BEFORE SCHOOL
THE UTILIZATION OF INSTINCTIVE INTERESTS THE ORDER OF DEVELOPMENT OF ORIGINAL TENDENCIES INVENTORIES OF ARITHMETICAL KNOWLEDGE AND SKILL THE PERCEPTION OF NUMBER AND QUANTITY THE EARLY AWARENESS OF NUMBER
CHAPTER XII
INTEREST IN ARITHMETIC
CENSUSES OF PUPILS' INTERESTS RELIEVING EYESTRAIN SIGNIFICANCE FOR RELATED ACTIVITIES INTRINSIC INTEREST IN ARITHMETICAL LEARNING
CHAPTER XIII
THE CONDITIONS OF LEARNING
EXTERNAL CONDITIONS CONCERNING THE RATING OF COURSES OF STUDY THE HYGIENE OF THE EYES IN ARITHMETIC THE USE OF CONCRETE OBJECTS IN ARITHMETIC ORAL, MENTAL, AND WRITTEN ARITHMETIC
CHAPTER XIV
THE CONDITIONS OF LEARNING: THE PROBLEM ATTITUDE
ILLUSTRATIVE CASES GENERAL PRINCIPLES DIFFICULTY AND SUCCESS AS STIMULI FALSE INFERENCES
CHAPTER XV
INDIVIDUAL DIFFERENCES
NATURE AND AMOUNT DIFFERENCES WITHIN ONE CLASS THE CAUSES OF INDIVIDUAL DIFFERENCES THE INTERRELATIONS OF INDIVIDUAL DIFFERENCES
FOOTNOTES
BIBLIOGRAPHY OF REFERENCES MADE IN THE TEXT INDEX
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