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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Christian R Hirsch; Amy Roth McDuffie; National Council of Teachers of Mathematics, |

ISBN: | 9780873539739 0873539737 |

OCLC Number: | 948295889 |

Description: | xii, 280 pages : illustrations ; 26 cm. |

Contents: | Foreword / Henry Pollak -- Understanding Models and Modeling. Introduction / Judith S. Zawojewski and Elizabeth Difanis Phillips -- Perspectives on modeling in school mathematics / Michelle Cirillo, John A. Pelesko, Matthew D. Felton-Koestler, and Laurie Rubel -- Different types of mathematical models / Kimberly Groshong -- Using Models to Represent Mathematics. Introduction / Elizabeth Difanis Phillips -- TouchCounts : visual, auditory, haptic, and symbolic models for numbers and operations / Nathalie Sinclair -- Building conceptual understanding of probability models : visualizing chance / Stephanie Budgett, Maxine Pfannkuch, and Christine Franklin -- Teaching and Learning about Mathematical Modeling. Introduction / Judith S. Zawojewski -- Moving beyond context : challenges in modeling instruction / Sarah K. Bleiler-Baxter, Angela T. Barlow, and D. Christopher Stephens -- Advancing the teaching of mathematical modeling : research-based concepts and examples / Werner Blum and Rita Borromeo Ferri -- Broadening the landscape of modeling by including an emergent view / Kevin J. Reins -- Teaching mathematics for social justice through mathematical modeling / Michelle Cirillo, Tonya Gau Bartell, and Anita A. Wager -- Moving students from remembering to thinking : the power of mathematical modeling / Cheryl Gann, Tamar Avineri, Julie Graves, Maria Hernandez, and Daniel Teague -- Fostering modeling competencies for complex situations / Peter Stender and Gabriele Kaiser -- Mathematical Modeling as a Vehicle for STEM Learning. Introduction / Judith S. Zawojewski -- A case for mathematical modeling in the elementary school classroom / Mary Alice Carlson, Megan H. Wickstrom, Elizabeth A. Burroughs, and Elizabeth W. Fulton -- Learning secondary school mathematics through authentic mathematical modeling tasks / Laurie O. Cavey and Joe Champion -- Modeling using data available on the Internet / Marcelo de Carvalho Borba, Mónica E. Villarreal, and Débora da Silva Soares -- Inspiring students in integrated STEM education through modeling activities / Cathrine Maiorca and Micah Stohlmann -- A bootstrapping approach to eliciting students' informal inferential reasoning through model development sequences / Jeffrey A. McLean and Helen M. Doerr -- Designing Modeling-Oriented Tasks and Curricula. Introduction / Elizabeth Difanis Phillips -- What a modeling task looks like / Heather Gould -- Developing early foundations through modeling with data / Lyn D. English -- Designing sequences of model development tasks / Helen M. Doerr -- Interpreting curricula to find opportunities for modeling: case studies from Australia and Sweden / Vincent Geiger, Jonas Bergman Ärlebäck, and Peter Frejd -- Discrete mathematical modeling in the high school curriculum / Eric Hart and W. Gary Martin -- Assessing Mathematical Modeling. Introduction / Judith S. Zawojewski -- Formative self-assessment : a critical component of mathematical modeling / Cheryl L. Eames, Corey Brady, and Richard Lesh -- The OECD PISA : an assessment of mathematical literacy and modeling processes / Kaye Stacey -- Supporting teachers' learning about mathematical modeling. -- Introduction / Elizabeth Difanis Phillips -- The GAIMME report : mathematical modeling in the K-16 curriculum / Daniel Teague, Rachel Levy, and Kathleen Fowler -- Supporting teachers' development as modelers and teachers of modelers / Rose Mary Zbiek -- Theoretical and pedagogical considerations in promoting students' metacognitive modeling competencies / Katrin Vorhölter and Gabriele Kaiser. |

Series Title: | Annual perspectives in mathematics education ..., 2016. |

Responsibility: | Christian R. Hirsch, volume editor, Western Michigan University, Kalamazoo, Michigan, Amy Roth McDuffie, series editor, Washington State University Tri-Cities, Richland, Washington. |

### Abstract:

Mathematical modeling plays an increasingly important role both in real-life applications 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.
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