Evaluating Pedagogical Quality of Learning Activities Using Fuzzy Evaluation Mappings: The Case of Pedagogical Games of Mathematical Proof  

作　　者：Pascal Stiefenhofer Pascal Stiefenhofer(Newcastle University Business School, Newcastle upon Tyne, UK)

机构地区：[1]Newcastle University Business School, Newcastle upon Tyne, UK

出　　处：《Applied Mathematics》2022年第5期432-452,共21页应用数学（英文）

摘　　要：This paper introduces a conceptual framework for developing pedagogical games of mathematical proof (PGMP) designed to help non-STEM students learn mathematical reasoning in a playful manner and without “fear”. Within the constructivist learning paradigm it develops an in-class learning activity where social science students learn the concept of mathematical deduction playfully using toys to construct tables from which formal proofs of propositions are derived without calculations. A PGMP pedagogy quality assurance evaluation method based on fuzzy evaluation mappings capturing learning effectiveness, learning efficiency, and learning satisfaction is introduced. Our results from an in-class experiment show that pedagogical games of mathematical proof help non-STEM students to effectively engage with mathematical reasoning playfully. The results are consistent according to a quality assurance consistency index.This paper introduces a conceptual framework for developing pedagogical games of mathematical proof (PGMP) designed to help non-STEM students learn mathematical reasoning in a playful manner and without “fear”. Within the constructivist learning paradigm it develops an in-class learning activity where social science students learn the concept of mathematical deduction playfully using toys to construct tables from which formal proofs of propositions are derived without calculations. A PGMP pedagogy quality assurance evaluation method based on fuzzy evaluation mappings capturing learning effectiveness, learning efficiency, and learning satisfaction is introduced. Our results from an in-class experiment show that pedagogical games of mathematical proof help non-STEM students to effectively engage with mathematical reasoning playfully. The results are consistent according to a quality assurance consistency index.

关 键 词：Pedagogy Quality Assurance Pedagogical Games Mathematics Anxiety PROOF TOYS 

分 类 号：O17[理学—数学]