Mathematical modeling and modeling mathematics / Christian R. Hirsch, volume editor, Western Michigan University, Kalamazoo, Michigan, Amy Roth McDuffie, series editor, Washington State University Tri-Cities, Richland, Washington.

Format:

Book

Contributor:

Hirsch, Christian R., editor.

McDuffie, Amy Roth, editor.

National Council of Teachers of Mathematics, issuing body.

Series:

Annual perspectives in mathematics education ; 2332-6336 2016.

Annual perspectives in mathematics education, 2332-6336 ; 2016

Language:

English

Subjects (All):

Mathematical models.

Mathematics--Study and teaching.

Mathematics.

Physical Description:

xii, 280 pages : illustrations ; 26 cm.

Place of Publication:

Reston, VA : National Council of Teachers of Mathematics, 2016.

Summary:

"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, and 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"--Back cover.

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.

Notes:

Includes bibliographical references.

ISBN:

9780873539739

0873539737

OCLC:

948295889