Mathematical Modeling and Modeling Mathematics

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February 10, 2023 | History

Mathematical Modeling and Modeling Mathematics

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Learn how to employ mathematical modeling to engage students at all levels. Mathematical modeling plays an increasingly important role both in real-life applications -- in engineering, business, the social sciences, climate study, advanced design, and more -- and within mathematics education itself. This 2016 volume of Annual Perspectives in Mathematics Education (APME) focuses on this key topic from a wide variety of perspectives and distinguishes it from modeling mathematics. The book's 25 chapters are grouped into seven sections: Understanding models and modeling, using models to represent mathematics, teaching and learning about mathematical modeling, mathematical modeling as a vehicle for STEM learning, designing modeling-oriented tasks and curricula, assessing mathematical modeling, supporting teachers' learning about mathematical modeling. Written by leading mathematics educators, mathematicians, and researchers, the chapters in this volume include reflections on the meaning and practice of modeling, case studies, research observations, and proven strategies for implementation in the classroom and in teacher education. With its thorough consideration of this essential subject, this year's volume of APME supports educators at all levels as they incorporate modeling in their instructional practice to improve the learning of mathematics and its applications for all students. - Publisher.

Publish Date
Language
English
Pages
280

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Edition Availability
Cover of: Mathematical Modeling and Modeling Mathematics
Mathematical Modeling and Modeling Mathematics
2016, National Council of Teachers of Mathematics
Paperback in English

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Book Details


Published in

Reston, VA

Table of Contents

Foreword / Henry Pollak
Preface
Part I. Understanding models and modeling.
Introduction / Judith S. Zawojewski and Elizabeth Difanis Phillips
1. Perspectives on modeling in school mathematics / Michelle Cirillo [and 3 others]
2. Different types of mathematical models / Kimberly Groshong
Part II. Using models to represent mathematics.
Introduction / Elizabeth Difanis Phillips
3. TouchCounts: visual, auditory, haptic, and symbolic models for numbers and operations / Nathalie Sinclair
4. Building conceptual understanding of probability models: visualizing chance / Stephanie Budgett, Maxine Pfannkuch, and Christine Franklin
Part III. Teaching and learning about mathematical modeling.
Introduction / Judith S. Zawojewski
5. Moving beyond context: challenges in modeling instruction / Sarah K. Bleiler-Baxter, Angela T. Barlow, and D. Christopher Stephens
6. Advancing the teaching of mathematical modeling: research-based concepts and examples / Werner Blum and Rita Borromeo Ferri
7. Broadening the landscape of modeling by including an emergent view / Kevin J. Reins
8. Teaching mathematics for social justice through mathematical modeling / Michelle Cirillo, Tonya Gau Bartell, and Anita A. Wager
9. Moving students from remembering to thinking: the power of mathematical modeling / Cheryl Gann [and 4 others]
10. Fostering modeling competencies for complex situations / Peter Stender and Gabriele Kaiser
Part IV. Mathematical modeling as a vehicle for STEM learning.
Introduction / Judith S. Zawojewski
11. A case for mathematical modeling in the elementary school classroom / Mary Alice Carlson [and 3 others]
12. Learning secondary school mathematics through authentic mathematical modeling tasks / Laurie O. Cavey and Joe Champion
13. Modeling using data available on the Internet / Marcelo de Carvalho Borba, Mónica E. Villarreal, and Débora da Silva Soares
14. Inspiring students in integrated STEM education through modeling activities / Cathrine Maiorca and Micah Stohlmann
15. A bootstrapping approach to eliciting students' informal inferential reasoning through model development sequences / Jeffrey A. McLean and Helen M. Doerr
Part V. Designing modeling-oriented tasks and curricula.
Introduction / Elizabeth Difanis Phillips
16. What a modeling task looks like / Heather Gould
17. Developing early foundations through modeling with data / Lyn D. English
18. Designing sequences of model development tasks / Helen M. Doerr
19. Interpreting curricula to find opportunities for modeling: case studies from Australia and Sweden / Vincent Geiger, Jonas Bergman Ärlebäck, and Peter Frejd
20. Discrete mathematical modeling in the high school curriculum / Eric Hart and W. Gary Martin
Part VI. Assessing mathematical modeling.
Introduction / Judith S. Zawojewski
21. Formative self-assessment: a critical component of mathematical modeling / Cheryl L. Eames, Corey Brady, and Richard Lesh
22. The OECD PISA: an assessment of mathematical literacy and modeling processes / Kaye Stacey
Part VII. Supporting teachers' learning about mathematical modeling.
Introduction / Elizabeth Difanis Phillips
23. The GAIMME report: mathematical modeling in the K-16 curriculum / Daniel Teague, Rachel Levy, and Kathleen Fowler
24. Supporting teachers' development as modelers and teachers of modelers / Rose Mary Zbiek
25. Theoretical and pedagogical considerations in promoting students' metacognitive modeling competencies / Katrin Vorhölter and Gabriele Kaiser

Contributors

Editor
Amy Roth McDuffie

The Physical Object

Format
Paperback
Pagination
xii, 280 p.
Number of pages
280
Dimensions
26 x x centimeters

ID Numbers

Open Library
OL26315904M
ISBN 10
0873539737
ISBN 13
9780873539739

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
February 10, 2023 Edited by ImportBot import existing book
July 18, 2022 Edited by ImportBot import existing book
May 19, 2017 Edited by Bryan Tyson Edited without comment.
May 19, 2017 Edited by Bryan Tyson Added new cover
May 19, 2017 Created by Bryan Tyson Added new book.