An exploratory mixed methods study about teacher candidates’ descriptions of children’s confusion, productive struggle, and mistakes in an elementary mathematics methods course

IF 1 Q3 EDUCATION & EDUCATIONAL RESEARCH
Crystal Kalinec-Craig , Anthony Rios
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引用次数: 0

Abstract

Recognizing and describing children's mathematical thinking in humanizing ways, especially when students engage in confusion, productive struggle, and mistakes, is a complex and challenging process. This paper describes an exploratory, mixed-methods study about how elementary teacher candidates (TCs) describe children's thinking as a right to exercise and to value their humanity when learning mathematics. The study analyzed transcripts from 64 TCs' summative assessments, which consisted of mock parent-teacher conferences (MPTC). Findings suggest that TCs described children's confusion, productive struggle, and mistakes (RotL 1 and 2) as: a teacher's observation, an opportunity for students to correct or clarify their thinking, an opportunity for teachers to adjust instruction or provide support, and as a normal part of the learning process. More importantly, some TCs reassured children that learners have fundamental rights when learning mathematics, especially when feeling confused and claiming a mistake. Implications for research and teacher education are discussed. Keywords: Elementary, teacher education, mathematics, mixed methods, rehumanizing, Torres’ rights of the learner

小学数学方法课程中教师候选人对儿童的困惑、有成效的挣扎和错误的描述的混合方法探索性研究
以人性化的方式认识和描述儿童的数学思维,尤其是当学生出现困惑、有成效的挣扎和错误时,是一个复杂而具有挑战性的过程。本文介绍了一项探索性的混合方法研究,内容涉及小学候选教师(TCs)如何将儿童的思维描述为在学习数学时行使和重视人性的权利。该研究分析了 64 名师范生的终结性评价记录,其中包括模拟家长会(MPTC)。研究结果表明,数学教师将孩子们的困惑、有成效的挣扎和错误(RotL 1 和 2)描述为:教师的观察、学生纠正或澄清思维的机会、教师调整教学或提供支持的机会,以及学习过程的正常部分。更重要的是,一些特级教师向孩子们保证,学习者在学习数学时享有基本权利,尤其是在感到困惑和声称自己犯错时。本文讨论了对研究和教师教育的启示。关键词小学、教师教育、数学、混合方法、再人性化、托雷斯的学习者权利
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来源期刊
Journal of Mathematical Behavior
Journal of Mathematical Behavior EDUCATION & EDUCATIONAL RESEARCH-
CiteScore
2.70
自引率
17.60%
发文量
69
期刊介绍: The Journal of Mathematical Behavior solicits original research on the learning and teaching of mathematics. We are interested especially in basic research, research that aims to clarify, in detail and depth, how mathematical ideas develop in learners. Over three decades, our experience confirms a founding premise of this journal: that mathematical thinking, hence mathematics learning as a social enterprise, is special. It is special because mathematics is special, both logically and psychologically. Logically, through the way that mathematical ideas and methods have been built, refined and organized for centuries across a range of cultures; and psychologically, through the variety of ways people today, in many walks of life, make sense of mathematics, develop it, make it their own.
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