Modeling Students' Mathematical Modeling Competencies (eBook)
XIV, 650 Seiten
Springer US (Verlag)
978-1-4419-0561-1 (ISBN)
As we enter the 21st century, there is an urgent need for new approaches to mathematics education emphasizing its relevance in young learners' futures. Modeling Students' Mathematical Modeling Competencies explores the vital trend toward using real-world problems as a basis for teaching mathematics skills, competencies, and applications. Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary? Where can we find them?) and moving through intricate concepts of how students perceive math, how instructors teach-and how both can become better learners. Dispatches as varied as classroom case studies, analyses of math in engineering work, and an in-depth review of modeling-based curricula in the Netherlands illustrate modeling activities on the job, methods of overcoming math resistance, and the movement toward replicable models and lifelong engagement.
A sampling of topics covered:
- How students recognize the usefulness of mathematics
- Creating the modeling-oriented classroom
- Assessing and evaluating students' modeling capabilities
- The relationship between modeling and problem-solving
- Instructor methods for developing their own models of modeling
- New technologies for modeling in the classroom
Modeling Students' Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.
As we enter the 21st century, there is an urgent need for new approaches to mathematics education emphasizing its relevance in young learners' futures. Modeling Students' Mathematical Modeling Competencies explores the vital trend toward using real-world problems as a basis for teaching mathematics skills, competencies, and applications. Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary? Where can we find them?) and moving through intricate concepts of how students perceive math, how instructors teach-and how both can become better learners. Dispatches as varied as classroom case studies, analyses of math in engineering work, and an in-depth review of modeling-based curricula in the Netherlands illustrate modeling activities on the job, methods of overcoming math resistance, and the movement toward replicable models and lifelong engagement.A sampling of topics covered:How students recognize the usefulness of mathematicsCreating the modeling-oriented classroomAssessing and evaluating students' modeling capabilitiesThe relationship between modeling and problem-solvingInstructor methods for developing their own models of modelingNew technologies for modeling in the classroomModeling Students' Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.
Chapter 1. Introduction: ICTMA and the Teaching of Modeling and Applications, Gabriele KaiserPart I: The Nature of Models & Modeling
Modeling: What Is It? Why Do It? Richard Lesh and Thomas FennewaldSection 1: What Are Models?
Chapter 2. Modeling Theory for Math and Science Education, David Hestenes
Chapter 3. Modeling a Crucial Aspect of Students’ Mathematical Modeling, Mogens Niss
Chapter 4. Modeling Perspectives in Math Education Research, Christine Larson, Guershon Harel, Michael Oehrtman, Michelle Zandieh, Chris Rasmussen San, Robert Speiser and Chuck Walter Section 2: Where Are Models & Modelers Found?
Chapter 5. Modeling to Address Techno-Mathematical Literacies in Work, Richard Noss and Celia Hoyles
Chapter 6. Mathematical Modeling in Engineering Design Projects, Monica E. Cardella
Chapter 7. The Mathematical Expertise of Mechanical Engineers – The Case Of Mechanism Design, Burkhard AlpersSection 3: What Do Modeling Processes Look Like?
Chapter 8. Modeling & Quantitative Reasoning: The Summer Jobs Problem, Christine Larson
Chapter 9. Tracing Students’ Modeling Processes in School, N. Mousoulides, M. Pittalis, C. Christou and B. SriramanSection 4: What Creates The Need For Modeling?
Chapter 10. Turning Ideas into Modeling Problems, Peter Galbraith, Gloria Stillman and Jill Brown
Chapter 11. Remarks on a Modeling Cycle and Interpretating Behaviours, Christopher Haines and Rosalind Crouch
Chapter 12. Model Eliciting Environments as 'Nurseries' for Modeling Probabilistic Situations, Miriam Amit and Irma Jan
Chapter 13. Models as Tools, Especially for Making Sense of Problems, Bob Speiser And Chuck Walter
Chapter 14. In-Depth Use of Modeling in Engineering Coursework to Enhance Problem Solving, Renee M. Clark, Larry J. Shuman and Mary Besterfield-Sacre
Chapter 15. Generative Activities: Making Sense of 1098 Functions, Sarah M. DavisSection 5: How Do Models Develop?
Chapter 16. Modeling the Sensorial Perception in the Classroom, Adolf J. I. Riede
Chapter 17. Assessing A Modeling Process Of A Linear Pattern Task, Miriam Amit and Dorit Neria
Chapter 18. Single Solution, Multiple Perspectives, Angeles DominguezSection 6: How Is Modeling Different Than Solving?
Chapter 19. Problem Solving Versus Modeling, Judith Zawojewski
Chapter 20. Investigating The Relationship Between The Problem And The Solver: Who Decides What Math Gets Used? Guadalupe Carmona and Steven Greenstein
Chapter 21. Communication : The Essential Difference Between Mathematical Modeling & Problem Solving, Tomas Højgaard Jensen
Chapter 22. Analysis Of Modeling Problem Solutions With Methods Of Problem Solving, Gilbert GreefrathPart II: Modeling In School Classrooms
Modeling In K-16 Mathematics Classrooms - And Beyond, Richard Lesh, Randy Young and Thomas FennewaldSection 7: How Can Students Recognize the Need for Modeling?
Chapter 23. Modeling With Complex Data In The Primary School, Lyn D. English
Chapter 24. Two Cases Studies Of Fifth Grade Students Reasoning About Levers, Paula Guerra, Linda Hernández, Ahyoung Kim, Muhsin Menekse and James Middleton
Chapter 25. Don’t Disrespect Me: Affect In An Urban Math Class, Roberta Y. Schorr, Yakov M. Epstein, Lisa B. Warner and Celia C. AriasSection 8: How Do Classroom Modling Communities Develop?
Chapter 26. Interdisciplinary Modeling Instruction: Helping Fifth Graders Learn About Levers, Brandon Helding, Colleen Megowan-Romanowicz, Tirupalavanam Ganesh and Shirley Fan
| Erscheint lt. Verlag | 15.12.2009 |
|---|---|
| Zusatzinfo | XIV, 650 p. |
| Verlagsort | New York |
| Sprache | englisch |
| Themenwelt | Geisteswissenschaften |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften | |
| Sozialwissenschaften ► Pädagogik ► Erwachsenenbildung | |
| Sozialwissenschaften ► Pädagogik ► Schulpädagogik / Grundschule | |
| Sozialwissenschaften ► Politik / Verwaltung | |
| Technik | |
| Schlagworte | Directions for the Future • Education • Educational Research • Mathematics • Model • Modeling and Design • Modeling and Socio-Cultural Perspectives • Modeling and Teacher Development • Modeling in Engineering • Modeling in High School and College • Modeling in Middle Schools • Modeling in Primary Grades • Modeling vs. Traditional Problem Solving • Research and Assessment Methodologies • Technological Tools and Data Modeling |
| ISBN-10 | 1-4419-0561-8 / 1441905618 |
| ISBN-13 | 978-1-4419-0561-1 / 9781441905611 |
| Haben Sie eine Frage zum Produkt? |
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