ERIC Number: EJ1156101
Record Type: Journal
Publication Date: 2017-Oct
Abstractor: As Provided
Changing Classroom Culture, Curricula, and Instruction for Proof and Proving: How Amenable to Scaling Up, Practicable for Curricular Integration, and Capable of Producing Long-Lasting Effects Are Current Interventions?
Nardi, Elena; Knuth, Eric
Educational Studies in Mathematics, v96 n2 p267-274 Oct 2017
This paper is a commentary on the classroom interventions on the teaching and learning of proof reported in the seven empirical papers in this special issue. The seven papers show potential to enhance student learning in an area of mathematics that is not only notoriously difficult for students to learn and for teachers to teach, but also critically important to knowing and doing mathematics. Although the seven papers, and the intervention studies they report, vary in many ways--student population, content domain, goals and duration of the intervention, and theoretical perspectives, to name a few--they all provide valuable insight into ways in which classroom experiences might be designed to positively influence students' learning to prove. In our commentary, we highlight the contributions and promise of the interventions in terms of whether and how they present capacity to change the classroom culture, the curriculum, or instruction. In doing so, we distinguish between works that aim to enhance students' preparedness for, and competence in, proof and proving and works that explicitly foster appreciation for the need and importance of proof and proving. Finally, we also discuss briefly the interventions along three dimensions: how amenable to scaling up, how practicable for curricular integration, and how capable of producing long-lasting effects these interventions are.
Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Integrated Curriculum, Intervention
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Publication Type: Journal Articles; Opinion Papers; Reports - Evaluative
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