Johan Deprez
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View article: Extending the action, process, object, schema theory to physics education: A genetic decomposition of the two-dimensional heat equation
Extending the action, process, object, schema theory to physics education: A genetic decomposition of the two-dimensional heat equation Open
In this paper, we describe our extension of the action, process, object, schema (APOS) theory to capture the complex interplay of mathematics and physics. We do this in the context of the 2D heat equation. We describe a hypothetical learni…
View article: Students’ understanding of two-variable calculus concepts in mathematics and physics contexts. I. The partial derivative and the directional derivative
Students’ understanding of two-variable calculus concepts in mathematics and physics contexts. I. The partial derivative and the directional derivative Open
This study investigated how students reason about the partial derivative and the directional derivative of a multivariable function at a given point, using different graphical representations for the function in the problem statement. Ques…
View article: Students’ understanding of two-variable calculus concepts in mathematics and physics contexts. II. The gradient and the Laplacian
Students’ understanding of two-variable calculus concepts in mathematics and physics contexts. II. The gradient and the Laplacian Open
When learning physics, students need more than just an understanding of mathematical and physical concepts. Integrating the two fields is crucial, as research indicates that students often struggle even when they have a strong grasp of bot…
View article: Benefits of using context while teaching differential equations
Benefits of using context while teaching differential equations Open
Differential equations are an important mathematical concept used to model processes in many disciplines. However, the literature shows that students experience many difficulties when studying this topic. We investigate the effect of using…
View article: Undergraduate students' difficulties with boundary conditions for the diffusion equation
Undergraduate students' difficulties with boundary conditions for the diffusion equation Open
Combining mathematical and physical understanding in reasoning is difficult, and a growing body of research shows that students experience problems with the combination of physics and mathematics in reasoning beyond the introductory level.…
View article: Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation
Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics: A case study in the context of the heat equation Open
In recent years, there has been an increased interest in conceptual blending in physics and mathematics education research as a theoretical framework to study student reasoning. In this paper, we adapt the conceptual blending framework to …
View article: Investigating student understanding of cross products in a mathematical and two electromagnetism contexts
Investigating student understanding of cross products in a mathematical and two electromagnetism contexts Open
We investigated the influence of context on students’ understanding of cross products of vectors using three isomorphic multiple-choice tests asking for the direction of a cross product in different geometrical settings. One version of the…
View article: Role of graphs in the mathematization process in physics education
Role of graphs in the mathematization process in physics education Open
Using mathematical concepts to describe physical phenomena lies at the heart of physics. Literature however shows that combining physics and mathematics is challenging for students on all levels and therefore, the study of students’ ways t…
View article: Design and validation of a test for representational fluency of 9th grade students in physics and mathematics: The case of linear functions
Design and validation of a test for representational fluency of 9th grade students in physics and mathematics: The case of linear functions Open
© 2018 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/" Creative Commons Attribution 4.0 International license. Further di…
View article: Tackling misconceptions in geometrical optics
Tackling misconceptions in geometrical optics Open
© 2018 IOP Publishing Ltd. To improve the teaching and learning materials for a curriculum it is important to incorporate the findings from educational research. In light of this, we present creative exercises and experiments to elicit, co…
View article: Integrated STEM Education: A Systematic Review of Instructional Practices in Secondary Education
Integrated STEM Education: A Systematic Review of Instructional Practices in Secondary Education Open
The shortage of graduates in Science, Technology, Engineering and Mathematics (STEM), has led to numerous attempts to increase students’ interest in STEM. One emerging approach that has the potential to improve students’ motivation for STE…
View article: Undergraduates' reasoning while solving integration tasks: discussion of a research framework
Undergraduates' reasoning while solving integration tasks: discussion of a research framework Open
In this paper we investigate the extent to which the research framework on reasoning developed by Lithner (2008) is adequate for characterizing undergraduate students’ mathematical reasoning. We conducted a small number of individual task-…