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Mathematics with understanding. Book 1 /
The Subtraction Algorithm; Using Bundles or the Abacus; CHAPTER 8. MULTIPLICATION; Sets: The Cartesian Product of Two Sets; Properties of Multiplication; Developing a method for multiplication; Situations which Lead to Discussion of Multiplication; CHAPTER 9. DIVISION; Defining Division: its Propert...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Pergamon Press,
1970.
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| Edición: | First edition. |
| Colección: | Commonwealth and international library. Mathematical topics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Mathematics with Understanding: Book 1; Copyright Page; Table of Contents; PREFACE; CHAPTER 1. THE AIMS OF A MODERN APPROACH; Introduction; Understanding; Structure; Discovery; Discussion; Flexibility; Power Skill; Pattern; Pleasure, Purpose and Purity; Techniques and Practice; CHAPTER 2. THE LANGUAGE OF SETS; Sets and Subsets; Recording: Set Notation; Set Builder Form; Empty Set; Subsets; Universal Set; Union and Intersection of Two Sets; Disjoint Sets; Cardinal Number of a Set; Partition of a Set; Venn Diagrams; Venn Diagrams to illustrate Logical Arguments; Revision Exercises
- CHAPTER 3. RELATIONS AND SORTINGCartesian Product; Mapping; Equivalence Relations (Equals Relations); Equivalence Classes; Equivalent Sets. Cardinal Number of a Set; The Infant Classroom Situation; Number Games; Partitioning Sets; CHAPTER 4. RECORDING OF NUMBER AND USE OF DIFFERENT BASES; Bases Other Than Ten; Base Six; Number Bases for Junior Children; Children's Activities; Recording by Means of a Mapping; Operations Using Bases Other Than Ten; Decomposition; Equal Addition; Multiplication in Different Bases; Algorithm for Changing to Base Ten from Base Four and vice versa
- Russian MultiplicationReason Why the Method Gives the Correct Result; Bicimals; Pattern in Other Bases; CHAPTER 5. OPEN SENTENCES, NUMBER FACTS AND PICTORIAL REPRESENTATION; Open Sentence; Number Facts (Number Bonds); Counting; Pictorial Representation; Collection of Data; Mapping; Tally Chart; CHAPTER 6. NATURAL NUMBERS AND ADDITION; Fundamental Operations for Natural Numbers; Essential Property of an Operation; Special Properties under Addition; The Commutative Property; The Associative Property; Summary; Counting Experience; The Story of Number; CHAPTER 7. SUBTRACTION (GENERAL THOUGHTS)