On the shoulders of giants : new approaches to numeracy / / Lynn Arthur Steen

• Record Nr.: UNINA9910973280803321
• Pubbl/distr/stampa: Washington, D.C., : National Academy Press, 1990
• ISBN: 9786610212545; 9781280212543; 1280212543; 9780309537049; 0309537045; 9780585268439; 0585268436
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (240 p.)
• Altri autori (Persone): SteenLynn Arthur <1941->
• Disciplina: 513/.071073
• Soggetti: Mathematics - Study and teaching - United States; Numeracy - United States
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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""; ""THE MATHEMATICS OF CHANGE""