| Description |
xii, 280 pages : illustrations ; 26 cm. |
| Series |
Annual perspectives in mathematics education,
2332-6336 ;
2016
|
|
Annual perspectives in mathematics education ; 2016.
2332-6336
|
| Bibliography |
Includes bibliographical references. |
| 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 / Catherine 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 -- |
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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. |
| Subject |
Mathematical models.
|
|
Mathematical models. |
|
Mathematics -- Study and teaching.
|
|
Mathematics -- Study and teaching. |
| Added Author |
Hirsch, Christian R., editor.
|
|
McDuffie, Amy Roth, editor.
|
|
National Council of Teachers of Mathematics, issuing body.
|
| ISBN |
9780873539739 (papeback) |
|
0873539737 (papeback) |
|
