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The Moore Method and the Constructivist Theory of Learning: Was R. L. Moore a Constructivist?

机译:摩尔方法和建构主义学习理论:R. L. Moore是建构主义者吗?

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Constructivism is currently a hotly debated topic, with proponents and opponents equally adamant and emotional with respect to their viewpoints. Many misconceptions exist on both sides of the debate, and misuses of terminology and attribution are rampant. Constructivism is a theory of learning, not a particular approach to instruction and not a curriculum. Proponents, the majority of whom are involved in K-12 education, argue that reaching more students with a deeper understanding of mathematics requires an appreciation of how knowledge is constructed and an instructional approach that more fully acknowledges the students' roles as active participants in the classroom instruction, rather than the lecture method which has worked well for some but poorly for others. The opponents, many of whom are mathematicians, tend to equate constructivism with "discovery" learning and deem it as inefficient at best, and tolerating inaccurate mathematics at worst. However, many mathematicians, including those who criticize constructivism, revere R. L. Moore as an outstanding teacher of mathematics. The Moore Method and the Modified Moore Method are frequently cited [2] as exemplary in the literature on teaching undergraduate- and graduate-level mathematics. An analysis of his method of teaching, however, indicates adherence to a theory of learning which he did not necessarily articulate, and might even have disputed. The goal of this article is to show that Moore's method aligned with a constructivist approach.
机译:建构主义目前是一个备受争议的话题,拥护者和反对者在观点上同样坚定而情感化。辩论双方都存在许多误解,对术语和归因的误用也很普遍。建构主义是一种学习理论,不是特定的教学方法,也不是课程。支持者(大多数参与K-12教育)认为,要想让更多的学生对数学有更深的理解,就需要对知识的构造方式有一个认识,并需要一种能更充分地认可学生在学习中积极参与的教学方法。课堂教学,而不是对某些人有效但对另一些人效果较差的演讲方法。反对者(其中许多是数学家)倾向于将建构主义等同于“发现”学习,并将其视为效率低下,而在最坏的情况下则容忍数学不准确。但是,许多数学家,包括那些批评建构主义的数学家,都尊敬R. L. Moore为杰出的数学老师。在教学本科和研究生水平数学的文献中,经常引用Moore方法和Modified Moore方法[2]作为示例。但是,对他的教学方法进行的分析表明,他坚持学习的理论,但他不一定会阐明它,甚至可能会引起争议。本文的目的是表明摩尔的方法与建构主义方法是一致的。

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