Advancing engineering students’ conceptual understanding through puzzle-based learning: a case study with exact differential equations

Author:

Rezvanifard Faezeh1,Radmehr Farzad21,Rogovchenko Yuriy3

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Iran

2. Department of Teacher Education, Norwegian University of Science and Technology, Norway

3. Department of Mathematical Sciences, Faculty of Engineering and Science, University of Agder, Kristiansand, Norway

Abstract

AbstractCurrent views on the teaching of differential equations (DEs) are shifting towards the use of graphical and numerical methods. Motivated by recent research suggesting that puzzle-based learning (PzBL) can improve the teaching and learning of STEM subjects and by the lack of relevant studies for DEs, we designed two tasks—sophism and paradox—to explore undergraduate engineering students’ conceptual understanding of a classical topic—exact DEs—and to analyse the process of meaning-making during collaborative learning in small groups. One hundred and thirty-five undergraduate engineering students from a public university in Iran participated. In response to recent research signalling the tendency of the students to procedural learning of DEs, we analyse how the students in our study engaged in small group work on puzzle tasks, gaining a more conceptual understanding of exact DEs and acknowledging the efficiency of PzBL in their responses to a questionnaire and in interviews.

Publisher

Oxford University Press (OUP)

Subject

Education,General Mathematics

Reference92 articles.

1. Euclid’s Pseudaria;Acerbi;Arch. Hist. Exact Sci.,2008

2. Traditional instruction of differential equations and conceptual learning;Arslan;Teach. Math. Appl. Int. J. IMA,2010

3. Do students really understand what an ordinary differential equation is?;Arslan;Int. J. Math. Educ. Sci. Tech.,2010

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