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Mathematical tasks designed to foster a reconceptualized view of early arithmetic

机译:数学任务旨在培养人们对早期算术的重新认识

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We discuss mathematical tasks used in a first mathematics content course for elementary teachers at our university to foster a deep conceptual understanding of early arithmetic, including basic concepts of number, number relationships and strategies, and coordinating units of different rank. Our approach is to immerse our students in a base 8 world for up to six weeks. A key aspect is that we develop base 8 vocabulary. We use base 8 analogs of instructional sequences developed in classroom teaching experiments in the elementary grades that have been proven successful to promote deep conceptual understandings of basic arithmetic and place-value numeration in young children. As a result, our students have unique opportunities to develop a reconceptualized view of early arithmetic and learn how it can be advanced.
机译:我们将讨论我们大学的基础教师在第一门数学内容课程中使用的数学任务,以增进对早期算术的深刻概念理解,包括数,数关系和策略的基本概念以及不同等级的协调单元。我们的方法是让学生沉浸在以8为基数的世界中长达六个星期。一个关键方面是我们开发基础8的词汇。我们使用在小学年级课堂教学实验中开发的教学序列的基数8类似物,已被证明成功地促进了幼儿对基本算术和位值计数的深入概念理解。因此,我们的学生有独特的机会来发展对早期算术的重新概念化看法,并学习如何进行高级演算。

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