### Abstract

This study examines the evolution of 11 prospective teachers’ understanding of mathematical modeling through the implementation of a modeling module within a curriculum course in a secondary teacher preparation program. While the prospective teachers had not previously taken a course on mathematical modeling, they will be expected to include modeling as part of the school curriculum under current state standards. The module consisted of readings, analysis of the Common Core State Standards, carefully designed modeling activities, individual and group work, discussion, presentations, and reflections. The results show that while most prospective teachers had misconceived definitions of mathematical modeling prior to the module, they developed the correct understanding of modeling as an iterative process involving making assumptions and validating conclusions connected to everyday situations. The study reveals how the prospective teachers translated the modeling cycle into practice in the context of a carefully designed open-ended problem and the strong connections between modeling activities and promoting mathematical practices.

Original language | English (US) |
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Journal | Journal of Mathematics Teacher Education |

DOIs | |

State | Accepted/In press - Jun 29 2015 |

### Fingerprint

### Keywords

- Mathematical modeling
- Secondary mathematics
- Secondary mathematics pre-service teacher education

### ASJC Scopus subject areas

- Education
- Mathematics(all)

### Cite this

**Developing understanding of mathematical modeling in secondary teacher preparation.** / Anhalt, Cynthia O; Cortez, Ricardo.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Developing understanding of mathematical modeling in secondary teacher preparation

AU - Anhalt, Cynthia O

AU - Cortez, Ricardo

PY - 2015/6/29

Y1 - 2015/6/29

N2 - This study examines the evolution of 11 prospective teachers’ understanding of mathematical modeling through the implementation of a modeling module within a curriculum course in a secondary teacher preparation program. While the prospective teachers had not previously taken a course on mathematical modeling, they will be expected to include modeling as part of the school curriculum under current state standards. The module consisted of readings, analysis of the Common Core State Standards, carefully designed modeling activities, individual and group work, discussion, presentations, and reflections. The results show that while most prospective teachers had misconceived definitions of mathematical modeling prior to the module, they developed the correct understanding of modeling as an iterative process involving making assumptions and validating conclusions connected to everyday situations. The study reveals how the prospective teachers translated the modeling cycle into practice in the context of a carefully designed open-ended problem and the strong connections between modeling activities and promoting mathematical practices.

AB - This study examines the evolution of 11 prospective teachers’ understanding of mathematical modeling through the implementation of a modeling module within a curriculum course in a secondary teacher preparation program. While the prospective teachers had not previously taken a course on mathematical modeling, they will be expected to include modeling as part of the school curriculum under current state standards. The module consisted of readings, analysis of the Common Core State Standards, carefully designed modeling activities, individual and group work, discussion, presentations, and reflections. The results show that while most prospective teachers had misconceived definitions of mathematical modeling prior to the module, they developed the correct understanding of modeling as an iterative process involving making assumptions and validating conclusions connected to everyday situations. The study reveals how the prospective teachers translated the modeling cycle into practice in the context of a carefully designed open-ended problem and the strong connections between modeling activities and promoting mathematical practices.

KW - Mathematical modeling

KW - Secondary mathematics

KW - Secondary mathematics pre-service teacher education

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UR - http://www.scopus.com/inward/citedby.url?scp=84933564249&partnerID=8YFLogxK

U2 - 10.1007/s10857-015-9309-8

DO - 10.1007/s10857-015-9309-8

M3 - Article

AN - SCOPUS:84933564249

JO - Journal of Mathematics Teacher Education

JF - Journal of Mathematics Teacher Education

SN - 1386-4416

ER -