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On the Shoulders of Giants : New Approaches to Numeracy.
What mathematics should be learned by today's young people as well as tomorrow's workforce? On the Shoulders of Giants is a vision of richness of mathematics expressed in essays on change, dimension, quantity, shape, and uncertainty, each of which illustrate fundamental strands for school...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
National Academies Press
1990.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""On the Shoulders of Giants""; ""Copyright""; ""Preface""; ""Contents""; ""Pattern""; ""FUNDAMENTAL MATHEMATICS""; ""FIVE SAMPLES""; ""CONNECTIONS""; ""GAINING PERSPECTIVE""; ""REFERENCES AND RECOMMENDED READING""; ""Dimension""; ""INTRODUCTION""; ""The Dimensional Ladder""; ""Giving Geometrical Gifts""; ""MEASURING VOLUMES""; ""Decomposition Models""; ""Pyramid Problems""; ""Cylinders and Discs""; ""VISUALIZING DIMENSIONS""; ""Growth Factors""; ""Rates and Averages""; ""Drawing Cubes""; ""COORDINATES IN DIFFERENT DIMENSIONS""; ""Number Lines and Circles""; ""Lengths and Perimeters""
- ""Planes and Surfaces""""Three-Dimensional Space""; ""Higher-Dimensional Spaces""; ""CONFIGURATION SPACES""; ""The Fourth Dimension""; ""Statics and Dynamics""; ""SLICING IN DIFFERENT DIMENSIONS""; ""Visitors from Higher Dimensions""; ""COUNTING COMBINATIONS""; ""Counting Triangles""; ""Counting Squares and Cubes""; ""Seeking Patterns""; ""REFERENCES AND RECOMMENDED READING""; ""Quantity""; ""QUANTITY IN SCHOOL MATHEMATICS""; ""Influence of Technology""; ""Influence of Applications""; ""Influence of Psychological Research""; ""FUNDAMENTAL CONCEPTS""; ""Numbers and Operations""
- ""Variables and Relations""""PROCEDURES""; ""Numerical Representation""; ""Graphical Representation""; ""Computer Representation""; ""Algorithms""; ""Conceptual and Procedural Knowledge""; ""Number Sense""; ""Symbol Sense""; ""NUMBER SYSTEMS""; ""Natural Numbers and Integers""; ""Rational Numbers""; ""Real Numbers""; ""Complex Numbers""; ""New Number Systems""; ""APPLICATIONS""; ""Modeling""; ""Measurement""; ""GOALS""; ""REFERENCES AND RECOMMENDED READING""; ""Uncertainty""; ""INTRODUCTION""; ""Data""; ""Chance""; ""Calculators and Computers""; ""From Data to Inference""; ""DATA ANALYSIS""
- ""Displaying Data""""Numerical Description""; ""Mathematical Models""; ""PRODUCING DATA""; ""Measurement""; ""Statistical Designs""; ""Some Cautions""; ""PROBABILITY""; ""Basics""; ""Further Study""; ""Transition to Inference""; ""INFERENCE""; ""Bayesian or Classical?""; ""Confidence Intervals""; ""Significance Tests""; ""STATISTICAL THINKING""; ""REFERENCES AND RECOMMENDED READING""; ""Shape""; ""INTRODUCTION""; ""CLASSIFICATION""; ""Congruence and Similarity""; ""Symmetry and Self-Similarity""; ""Combinatorial Properties""; ""Topology""; ""Naming""; ""ANALYSIS""; ""Discovering Symmetry""
- ""Mirror Geometry""""Using Symmetry""; ""Lattices""; ""Dissection""; ""Combinatorial Tools""; ""REPRESENTATION""; ""Models""; ""Maps""; ""Shadows and Lenses""; ""Drawing""; ""Image Reconstruction""; ""Computer Graphics""; ""VISUALIZATION""; ""CURRICULAR ISSUES""; ""Forging Connections""; ""Geometry""; ""Studying Shape""; ""The Study of Shape is Interdisciplinary""; ""The Study of Shape is a Laboratory Subject""; ""The Study of Shape is for Everyone""; ""The Study of Shape is Fun""; ""The Study of Shape is Open Ended""; ""REFERENCES AND RECOMMENDED READING""; ""Change""