PROSPECTIVE TEACHERS' CHALLENGES IN TEACHING REASONING-AND-PROVING

The activity of reasoning-and-proving is at the heart of mathematical sense making and is important for all students' learning as early as the elementary grades. Yet, reasoning-and-proving tends to have a marginal place in elementary school classrooms. This situation can be partly attributed to...

詳細記述

書誌詳細
主要な著者: Stylianides, G, Stylianides, A, Shilling-Traina, L
フォーマット: Journal article
言語:English
出版事項: 2013
その他の書誌記述
要約:The activity of reasoning-and-proving is at the heart of mathematical sense making and is important for all students' learning as early as the elementary grades. Yet, reasoning-and-proving tends to have a marginal place in elementary school classrooms. This situation can be partly attributed to the fact that many (prospective) elementary teachers have (1) weak mathematical (subject matter) knowledge about reasoning-and-proving and (2) counterproductive beliefs about its teaching. Following up on an intervention study that helped a group of prospective elementary teachers make significant progress in overcoming these two major obstacles to teaching reasoning-and-proving, we examined the challenges that three of them identified that they faced as they planned and taught lessons related to reasoning-and-proving in their mentor teachers' classrooms. Our findings contribute to research knowledge about major factors (other than the well-known factors related to teachers' mathematical knowledge and beliefs) that deserve attention by teacher education programs in preparing prospective teachers to teach reasoning-and-proving. © 2013 National Science Council, Taiwan.