Mathematical Modeling and Modeling Mathematics
Publisher: National Council of Teachers of Mathematics
Published: 2016
Place of publication: Reston, VA
Language: eng
Format: Paperback
Number of pages: 280
ISBN-13: 9780873539739
Table of contents: title: Foreword / Henry Pollak; title: Preface; title: Part I. Understanding models and modeling.; title: Introduction / Judith S. Zawojewski and Elizabeth Difanis Phillips; title: 1. Perspectives on modeling in school mathematics / Michelle Cirillo [and 3 others]; title: 2. Different types of mathematical models / Kimberly Groshong; title: Part II. Using models to represent mathematics.; title: Introduction / Elizabeth Difanis Phillips; title: 3. TouchCounts: visual, auditory, haptic, and symbolic models for numbers and operations / Nathalie Sinclair; title: 4. Building conceptual understanding of probability models: visualizing chance / Stephanie Budgett, Maxine Pfannkuch, and Christine Franklin; title: Part III. Teaching and learning about mathematical modeling.; title: Introduction / Judith S. Zawojewski; title: 5. Moving beyond context: challenges in modeling instruction / Sarah K. Bleiler-Baxter, Angela T. Barlow, and D. Christopher Stephens; title: 6. Advancing the teaching of mathematical modeling: research-based concepts and examples / Werner Blum and Rita Borromeo Ferri; title: 7. Broadening the landscape of modeling by including an emergent view / Kevin J. Reins; title: 8. Teaching mathematics for social justice through mathematical modeling / Michelle Cirillo, Tonya Gau Bartell, and Anita A. Wager; title: 9. Moving students from remembering to thinking: the power of mathematical modeling / Cheryl Gann [and 4 others]; title: 10. Fostering modeling competencies for complex situations / Peter Stender and Gabriele Kaiser; title: Part IV. Mathematical modeling as a vehicle for STEM learning.; title: Introduction / Judith S. Zawojewski; title: 11. A case for mathematical modeling in the elementary school classroom / Mary Alice Carlson [and 3 others]; title: 12. Learning secondary school mathematics through authentic mathematical modeling tasks / Laurie O. Cavey and Joe Champion; title: 13. Modeling using data available on the Internet / Marcelo de Carvalho Borba, Mónica E. Villarreal, and Débora da Silva Soares; title: 14. Inspiring students in integrated STEM education through modeling activities / Cathrine Maiorca and Micah Stohlmann; title: 15. A bootstrapping approach to eliciting students' informal inferential reasoning through model development sequences / Jeffrey A. McLean and Helen M. Doerr; title: Part V. Designing modeling-oriented tasks and curricula.; title: Introduction / Elizabeth Difanis Phillips; title: 16. What a modeling task looks like / Heather Gould; title: 17. Developing early foundations through modeling with data / Lyn D. English; title: 18. Designing sequences of model development tasks / Helen M. Doerr; title: 19. Interpreting curricula to find opportunities for modeling: case studies from Australia and Sweden / Vincent Geiger, Jonas Bergman Ärlebäck, and Peter Frejd; title: 20. Discrete mathematical modeling in the high school curriculum / Eric Hart and W. Gary Martin; title: Part VI. Assessing mathematical modeling.; title: Introduction / Judith S. Zawojewski; title: 21. Formative self-assessment: a critical component of mathematical modeling / Cheryl L. Eames, Corey Brady, and Richard Lesh; title: 22. The OECD PISA: an assessment of mathematical literacy and modeling processes / Kaye Stacey; title: Part VII. Supporting teachers' learning about mathematical modeling.; title: Introduction / Elizabeth Difanis Phillips; title: 23. The GAIMME report: mathematical modeling in the K-16 curriculum / Daniel Teague, Rachel Levy, and Kathleen Fowler; title: 24. Supporting teachers' development as modelers and teachers of modelers / Rose Mary Zbiek; title: 25. Theoretical and pedagogical considerations in promoting students' metacognitive modeling competencies / Katrin Vorhölter and Gabriele Kaiser