Inverse mathematical model: yet another aspect of applications and modeling in undergraduate mathematics for prospective teachers

Author: Peretz, Dvora

Source: Teaching Mathematics and its Applications, Volume 24, Numbers 2-3, September 2005 , pp. 134-142(9)

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Abstract:

This article conceptualises a real-like model of a mathematical model as an inverse model. The inverse model draws on the un-complexity of concrete real-life operations in order to help students to add concrete meaning to mathematical algorithms. The inverse model is described in the context of a pedagogical perception, which grants students in basic maths courses a higher degree of flexibility in dealing with mathematics. Situating the students' prior knowledge in a meta-frame enables them to see part of the ‘Big Picture’ and therefore to appreciate better the kind of processes that make Mathematics what it is.

Document Type: Research article

DOI: http://dx.doi.org/10.1093/teamat/hri002

Publication date: 2005-09-01

More about this publication?

The journal provides a forum for the exchange of ideas and experiences which contribute to the improvement of mathematics teaching and learning for students from upper secondary/high school level through to university first degree level. A distinctive feature of the journal is its emphasis on the applications of mathematics and mathematical modelling within the context of mathematics education world-wide. The journal's readership consists of mathematics teachers, students, researchers and those concerned with curriculum development and assessment, indeed anyone concerned about the education of users of mathematics.