Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches

Date

2014-01-01

Author

Erbaş, Ayhan Kürşat
ÇETİNKAYA, BÜLENT
Çakıroğlu, Erdinç
Bas, Sinem

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

34
views

0
downloads

Mathematical modeling and its role in mathematics education have been receiving increasing attention in Turkey, as in many other countries. The growing body of literature on this topic reveals a variety of approaches to mathematical modeling and related concepts, along with differing perspectives on the use of mathematical modeling in teaching and learning mathematics in terms of definitions of models and modeling, the theoretical backgrounds of modeling, and the nature of questions used in teaching modeling. This study focuses on two issues. The first section attempts to develop a unified perspective about mathematical modeling. The second section analyzes and discusses two approaches to the use of modeling in mathematics education, namely modeling as a means of teaching mathematics and modeling as an aim of teaching mathematics.

Subject Keywords

Mathematical education, Mathematical model, Mathematical modeling, Problem solving

URI

https://hdl.handle.net/11511/52920

Journal

KURAM VE UYGULAMADA EGITIM BILIMLERI

Collections

Department of Mathematics and Science Education, Article

Suggestions

OpenMETU
Core

The development of a self-efficacy scale for mathematical modeling competencies KOYUNCU, İLHAN; Guzeller, Cem Oktay; Akyüz, Didem (2017-01-01) Mathematical modeling has come into prominence during the last few decades in many countries' mathematics teaching curricula. It combines real life situations with mathematical context. Although evaluating students' mathematical modeling performances with a unique Likert type instrument is questionable, having an instrument about their self-efficacy beliefs in mathematical modeling may help to comment about their ideas related to their competencies in mathematical modeling. The purpose of this study is to d...
Nonlocal symmetries and integrable ordinary differential equations: xuml+3xx center dot+x(3)=0 and its generalizations Karasu, Emine Ayşe (AIP Publishing, 2009-07-01) The equation xuml+3xx center dot+x(3)=0 is well known in many areas of mathematics and physics. It possesses the algebra sl(3,R) of Lie point symmetries, hence is equivalent to the equation for a free particle, and both left and right Painleveacute series. We investigate two higher-dimensional analogs in terms of their symmetry and singularity structures. We find a drastic reduction in symmetry and a loss of some of the singularity properties. From the nonlocal symmetries we are able to determine the comple...
DOCTORAL PROGRAMS IN MATHEMATICS EDUCATION: CURRENT STATUS AND FUTURE PATHWAYS FOR TURKEY Ubuz, Behiye; Çakıroğlu, Erdinç; Erbaş, Ayhan Kürşat (2011-02-13) The purpose of this paper is to review the current state of doctoral programs in mathematics education in three Turkish universities. In this context, we first provide brief background information about Turkish higher education system and teacher education policies in Turkey. Then the major national initiatives towards future faculty development efforts are explained. Finally, the nature and components of mathematics education doctoral programs in Turkey is provided. In doing so, we provide information abou...
Mathematical practices of teachers in technology-enhanced classrooms: A case of teaching slope concept Yemen Karpuzcu, Seçil; Işıksal Bostan, Mine (2019-12-18) While it is obvious that teachers need to have mathematical knowledge under different domains, few studies put forward teaching practices associating them with teacher moves in the background of the mathematical knowledge used in teaching in a technology enhanced classroom environment. Moreover, characterizing those practices can show a practical understanding of the knowledge for its usefulness in teaching in which tools and dynamic technologies are deemed necessary. In this study, we examined the characte...
Elementary teachers' and elementary mathematics teachers' perceptions of mathematically gifted students Tütüncü, Sumeyra; Işıksal Bostan, Mine; Department of Elementary Science and Mathematics Education (2013) The purpose of this study was to examine elementary teachers’ and elementary mathematics teachers’ perceptions of mathematically gifted students in terms of teachers’ gender, year of experience and area of teaching. The data were collected from 176 elementary teachers and 90 elementary mathematics teachers from 60 state elementary schools in the center of Trabzon, in the fall semester of 2011-2012 academic year. In order to determine teachers’ perceptions of mathematical giftedness, the instrument called as...

Citation Formats

A. K. Erbaş, B. ÇETİNKAYA, E. Çakıroğlu, and S. Bas, “Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches,” KURAM VE UYGULAMADA EGITIM BILIMLERI, pp. 1621–1627, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52920.