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Morali, Hasibe Sevgi; Filiz, Ahsen – Journal of Pedagogical Research, 2023
Proof facilitates conceptual and meaningful learning in mathematics education rather than rote memorization. In this study, incorrect theorems and proofs are used to assess secondary school pre-service mathematics teachers' proof assessing skills. Using the case study method, the study is conducted on preservice mathematics teachers studying at…
Descriptors: Mathematical Models, Preservice Teachers, Mathematics Teachers, Mathematics Skills
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Marchisio, Marina; Roman, Fabio; Sacchet, Matteo – International Association for Development of the Information Society, 2021
The role of mathematical modelling pertains several disciplines, both STEM and non-STEM, and various fields: education, academy, work, everyday and social life. Despite its importance, it is not uncommon to see university students facing difficulties with the use of Mathematics to create models, even when mathematical entities that play a role in…
Descriptors: Mathematical Models, College Students, Mathematics Tests, Error Patterns
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Çibik, Naz Fulya; Boz-Yaman, Burçak – Science Activities: Projects and Curriculum Ideas in STEM Classrooms, 2022
The purpose of this paper is to integrate mathematical modeling and ecology by presenting an activity involving an authentic environmental problem, which is called "Pine Processionary Caterpillars Invasion." Adopting Mathematical Modeling and Education for Climate Action (EfCA) approaches, it was aimed to encourage pre-service teachers…
Descriptors: Mathematical Models, Ecology, Climate, Problem Solving
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Pla-Castells, Marta; Melchor, Carmen; Chaparro, Gisela – Education Sciences, 2021
This work describes how the combination of the mistakes committed by a group of pre-service teachers when solving a Fermi problem, with the representation of the temporal analysis of their resolutions, can offer more in-depth information about their conceptual misconceptions regarding mathematical and modelling concepts. The combined…
Descriptors: Preservice Teachers, Mathematics Skills, Problem Solving, Error Patterns
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Segura, Carlos; Ferrando, Irene – Education Sciences, 2021
Fermi problems are useful for introducing modelling in primary school classrooms, although teachers' difficulties in problem solving may hinder their successful implementation. These difficulties are associated with the modelling process, but also with the estimation and measurement skills required by Fermi problems. In this work, a specific…
Descriptors: Error Patterns, Problem Solving, Preservice Teachers, Elementary School Teachers
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Kenney, Rachael; An, Tuyin; Kim, Sung-Hee; Uhan, Nelson A.; Yi, Ji Soo; Shamsul, Aiman – International Journal of Science and Mathematics Education, 2020
In linear programming, many students find it difficult to translate a verbal description of a problem into a valid mathematical model. To better understand this, we examine the existing characteristics of college engineering students' errors across linear programming (LP) problems. We examined textbooks to identify the types of problems typically…
Descriptors: Programming, Error Patterns, Engineering Education, Word Problems (Mathematics)
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Yamaguchi, Motonori; Proctor, Robert W. – Psychological Review, 2012
The present study proposes and examines the multidimensional vector (MDV) model framework as a modeling schema for choice response times. MDV extends the Thurstonian model, as well as signal detection theory, to classification tasks by taking into account the influence of response properties on stimulus discrimination. It is capable of accounting…
Descriptors: Educational Technology, Mathematical Models, Scaling, Experiments
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Bruno, A.; Espinel, M. C. – International Journal of Mathematical Education in Science and Technology, 2009
This article details the results of a written test designed to reveal how education majors construct and evaluate histograms and frequency polygons. Included is a description of the mistakes made by the students which shows how they tend to confuse histograms with bar diagrams, incorrectly assign data along the Cartesian axes and experience…
Descriptors: Education Majors, Mathematical Models, Statistical Distributions, Geometric Concepts
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Shacham, Mordechai; Brauner, Neima; Ashurst, W. Robert; Cutlip, Michael B. – Chemical Engineering Education, 2008
Mathematical software packages such as Polymath, MATLAB, and Mathcad are currently widely used for engineering problem solving. Applications of several of these packages to typical chemical engineering problems have been demonstrated by Cutlip, et al. The main characteristic of these packages is that they provide a "problem-solving environment…
Descriptors: Mathematical Models, Computer Software, Problem Solving, Chemical Engineering
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the fifth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Sac and Zaz:…
Descriptors: Program Effectiveness, Foreign Countries, Symbols (Mathematics), Preservice Teacher Education
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…
Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction