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A framework for designing problem solving task for secondary school mathematics classroom NG, Yu Xin; TOH, Tin Lam
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 8 Issue 2 April 2023
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v8i2.3137

Abstract

Although problem solving has been playing a critical role in the teaching and learning of mathematics in K-12 in many countries in the world, anecdotal evidence from mathematics classrooms shows that teachers are still facing challenges in designing mathematical tasks on problem solving for classroom instruction. Despite the effort of several existing research studies on enacting problem solving in the mathematics classroom, the guiding principles for designing problem solving tasks remain largely unexplored, thus teachers are left without being empowered to design their own problem solving tasks. The objective of this paper is to provide a comprehensive framework on designing problem solving tasks through a list of interrelated guiding principles. The proposed framework, which we name MIRACLE, foreground seven key considerations which mathematics educators should take into consideration when designing a task for a problem solving lesson: Mathematical content, method of Instruction, Required knowledge, Assessment, Complexity of problem, Learner’s profile, and Enactment of lesson. This paper also provides two exemplars on how the framework could be used to design mathematical tasks for problem solving through problem solving
On Some Guiding Principles of Enacting Mathematical Problem Solving for Classroom Instruction Ng, Yu Xin; Lam, Toh Tin
Dinamika Jurnal Ilmiah Pendidikan Dasar Vol. 16 No. 1 (2024): Dinamika Jurnal Ilmiah Pendidikan Dasar
Publisher : Universitas Muhammadiyah Purwokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30595/dinamika.v16i1.20441

Abstract

In addressing the key role that problem solving has been playing in mathematics instruction for K-12, this paper aims to assist mathematics teachers and educators to consider a set of guiding principles for designing problem solving tasks for classroom instructions. The set of guiding principles was synthesized and proposed through the researchers’ systematic review of existing education literature on problem solving.