ERIC Number: EJ1192775
Record Type: Journal
Publication Date: 2018-Nov
Pages: 24
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1571-0068
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Fostering Transit between Real World and Mathematical World: Some Phases on the Modelling Cycle
Guerrero-Ortiz, Carolina; Mena-Lorca, Jaime; Soto, Astrid Morales
International Journal of Science and Mathematics Education, v16 n8 p1605-1628 Nov 2018
This study shows how, in the initial training of mathematics teachers, it is possible to promote processes of abstraction and mathematisation through modelling a real situation with the support of auxiliary material to mediate understanding. By adapting elements of the theoretical and methodological framework called Abstraction in Context (AiC), participants' discussions while building a mathematical model--in a nested epistemic actions--are analysed. Two specific points are discussed in this paper. The first aims to identify how different types of knowledge emerge when an individual is faced with a modelling task. The second is regarding the use of auxiliary material as a means of metaphorising a situation. It was evidenced how the material favours the construction of a mathematical model through the simplification and idealisation that it brings. The meaning constructed for the model is supported in recognising a decreasing behaviour as a part of a whole.
Descriptors: Mathematics Teachers, Mathematical Concepts, Mathematical Models, Knowledge Level, Teaching Methods, Preservice Teacher Education
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
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Language: English
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