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Igor' Kontorovich; Nicole Qiusong Liu; Sun-woong Kang – Educational Studies in Mathematics, 2024
Coming from the commognitive standpoint, we consider proof-based mathematics as a distinct discourse, the transition to which requires special rules for endorsement and rejection of mathematical statements. In this study, we investigate newcomers' learning of these rules when being taught them explicitly. Our data come from academically motivated…
Descriptors: Mathematical Logic, Validity, High School Students, College Mathematics
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Kontorovich, Igor'; Zazkis, Rina – Educational Studies in Mathematics, 2016
This study is concerned with tensions between the two different perspectives on the concept of angle: angle as a static shape and angle as a dynamic turn. The goal of the study is to explore how teachers cope with these tensions. We analyze scripts of 16 in-service secondary mathematics teachers, which feature a dialogue between a teacher and…
Descriptors: Mathematics Instruction, Mathematical Concepts, Secondary School Mathematics, Secondary School Teachers