| Description |
1 online resource |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Horwood Publishing series: mathematics and applications. |
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Ellis Horwood series in mathematics and its applications.
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| Note |
"The articles included in this book were presented in the Ninth International Conference on the Teaching of Mathematical Modelling and Applications (ICTMA-9) held in Lisbon in August 1999"--Preface |
| Bibliography |
Includes bibliographical references. |
| Note |
Print version record. |
| Summary |
The articles included in this book are from the ICTMA 9 conference held in Lisbon, attended by delegates from about 30 countries. This work records the 1999 Lisbon Conference of ICTMA. It contains the selected and edited content of the conference and makes a significant contribution to mathematical modelling which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships. Contains the selected and edited content of the 1999 Lisbon Conference of ICTMAMakes a significant contribution to mathematical modelling, which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships. |
| Contents |
Front Cover; Modelling and Mathematics Education: ICTMA 9: Applications in Science and Technology; About the Editors; Modelling and Mathematics Education: ICTMA 9: Applications in Science and Technology; Copyright Page; Table of Contents; Preface; Section A: Mathematical Modelling Revisited; Chapter 1. Enacting Possible Worlds: Making Sense of (Human) Nature; INTRODUCTION; PHILOSOPHICAL BACKGROUND; ENACTING POSSIBLE WORLDS; MAKING SENSE OF (HUMAN) NATURE; TEACHING MATHEMATICAL MODELLING AND ITS APPLICATIONS; CONCLUDING REMARKS; REFERENCES. |
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Chapter 2. The Mountain Is the Utility -- On the Metaphorical Nature of Mathematical ModelsMATHEMATICS LEARNING THROUGH MODELLING AND APPLICATIONS -- THE PSYCHOLOGICAL ARGUMENT; SEMIOTICS, SIGN AND MEANING; METAPHOR; MODELS AND METAPHORS; MATHEMATICS LEARNING WITH MODELS AND APPLICATIONS -- EMPIRICAL DATA ANALYSIS; IN CONCLUDING: WHEN THE MOUNTAIN IS THE UTILITY; REFERENCES; Chapter 3. The Theory of Multiple Intelligences and Mathematical Modelling; INTRODUCTION; THE THEORY OF MULTIPLE INTELLIGENCES; APPLICATION OF MULTIPLE INTELLIGENCES THEORY TO MATHEMATICAL MODELLING; CONCLUSIONS; REFERENCES. |
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Chapter 4. Modelling Modelling: Where is the Centre of Gravity of-for-when Teaching Modelling?INTRODUCTION; SOME PROBLEMATIC SITUATIONS; PSYCHO-SOCIAL CENTRES OF GRAVITY; WHAT MIGHT WE LEARN FROM THIS ANALYSIS?; MODELS AS PEDAGOGIC DEVICES; CONCLUSION; REFERENCES; Chapter 5. Fact, Fiction, Fiddle -- Three Types of Models; ALGEBRA, THE FOUR MOTHER MODELS; FACT MODELS; FICTION MODELS; FIDDLE MODELS; FACT AND FICTION MODELS IN THE CLASSROOM; THE GRAND QUANTITATIVE NARRATIVES; THE BASIC ECONOMICAL CYCLE; THE SIMPLE KEYNES MODEL; AN ECONOMICAL CYCLE WITH A PUBLIC SECTOR; SPREADSHEET SIMULATION. |
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FURTHER EXTENSIONS OF THE ECONOMICAL CYCLE MODELSMATHEMATICAL MODELS IN THE CLASSROOM; CONCLUSION; REFERENCES; Chapter 6. Issues and Problems of Research on the Teaching and Learning of Applications and Modelling; INTRODUCTION: OVER-ARCHING QUESTIONS; TWO INITIATING EXAMPLES; FOCI OF ANALYSIS; EXISTING RESEARCH -- EMPHASES AND LESSONS; MISSING AND WANTED RESEARCH; CONCLUSION; REFERENCES; Section B: Mathematical Aspects of Modelling; Chapter 7. Mathematical Modelling by Means of Functional Equations: The Missing Link in the Learning of Functions; INTRODUCTION. |
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ON THE THEORY OF FUNCTIONAL EQUATIONSFUNCTIONAL EQUATIONS AT THE SERVICE OF LEARNING FUNCTIONS; CONCLUDING REMARKS; REFERENCES; Chapter 8. Applications of Simultaneous Iteration; INTRODUCTION; MATHEMATICAL PRELIMINARIES; TRANSFORMATION METHODS; THE PROBLEM; SIMULTANEOUS ITERATION; NUMERICAL EXAMPLE; TEACHING ASPECTS; EXTENSIONS TO THE BASIC SI CYCLE; RESULTS; FURTHER AREAS OF INVESTIGATION; EXAMPLES OF STUDENT WORK; CONCLUSION; REFERENCES; Chapter 9. On the derivative of nondifferentiable functions; INTRODUCTION; SLOPES; MEASURES; DISTRIBUTIONS; CONCLUSION; REFERENCES. |
| Subject |
Mathematical models -- Study and teaching -- Congresses.
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Mathematical models -- Congresses.
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Modèles mathématiques -- Étude et enseignement -- Congrès.
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Modèles mathématiques -- Congrès.
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MATHEMATICS -- General.
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Mathematical models
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Mathematical models -- Study and teaching
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| Genre/Form |
Congress |
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proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Added Author |
Matos, João Filipe, editor.
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International Conference on the Teaching of Mathematical Modelling and Applications (9th : 1999 : Lisbon, Portugal)
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| Other Form: |
Print version: Modelling and mathematics education 1898563667 (OCoLC)223354266 |
| ISBN |
9780857099655 (electronic bk.) |
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0857099655 (electronic bk.) |
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1898563667 |
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9781898563662 |
| Standard No. |
AU@ 000055959464 |
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CHNEW 001011931 |
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DEBBG BV042317214 |
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DEBSZ 414272366 |
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GBVCP 797009299 |
