Enhancing Reasoning Attitudes Of Prospective Elementary School Mathematics Teachers

Dvora Peretz

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Enhancing Reasoning Attitudes Of Prospective Elementary School Mathematics Teachers

机译：增强未来小学数学教师的推理态度

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This article presents a constructivist approach for teaching mathematics to prospective elementary school teachers in USA. This approach employs a model of a “mathematical situation,” a set of physical operations and a physical language to reason about students’ mathematical doings. One of the primary goals of this approach is to promote a reasoning attitude toward the learning of mathematics by prospective elementary school teachers. At the same time this approach encourages the development of their reasoning skills. This approach provides a less rigid frame for discussing mathematics “doings”, [The word “doings” in this manuscript refers to the variety of mathematical activities, from thinking on a mathematical problem, using manipulatives, graphing, solving and so forth.] which is still structured enough to allow prospective teachers to appreciate the kinds of doings and argumentations found in mathematics. It provides a concrete-like basis that serves to promote the understanding of arithmetical concepts (especially fractions). In the context of teacher education, this approach adds structure and content to the usual curriculum of basic mathematics courses for future elementary and middle school teachers. It grants future teachers a higher degree of flexibility in dealing with their students’ questions and learning difficulties.

机译：本文介绍了一种建构主义的方法来向美国的预期小学教师教授数学。这种方法采用“数学情况”模型，一组物理操作和一种物理语言来推断学生的数学行为。这种方法的主要目标之一是要提高准小学教师对数学学习的推理态度。同时，这种方法鼓励他们推理能力的发展。这种方法为讨论数学“行为”提供了一个不太严格的框架，[本手稿中的“行为”一词指的是各种数学活动，从思考数学问题到使用操纵，绘图，求解等。仍然足够结构化，以使准教师能够欣赏数学中发现的各种行为和论点。它提供了一个类似于混凝土的基础，可用来促进对算术概念（尤其是分数）的理解。在教师教育的背景下，这种方法为将来的中小学教师的基础数学课程的常规课程增加了结构和内容。它使未来的老师在处理学生的问题和学习困难时具有更高的灵活性。

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来源
《Journal of Mathematics Teacher Education》 |2006年第4期|381-400|共20页
作者
Dvora Peretz;
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作者单位

Center for Advanced Studies in Mathematics Ben Gurion University;

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原文格式 PDF
正文语种 eng
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关键词
reasoning; attitudes; mathematics teachers’ education;

机译：推理;态度;数学教师的教育;

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Enhancing Reasoning Attitudes Of Prospective Elementary School Mathematics Teachers

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