Using Concept Mapping in the Development of the Concept of Positional System

Schmittau, Jean and Vagliardo, James J. (2006) Using Concept Mapping in the Development of the Concept of Positional System. In: Concept Maps: Theory, Methodology, Technology. Proc. of the Second Int. Conference on Concept Mapping. Universidad de Costa Rica, San José, Costa Rica, pp. 590-597. ISBN 9977-15-148-2

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Psychologists such as Vygotsky and Skemp indicate that as a superordinate concept the understanding of positional system requires knowledge of several bases for its adequate development. However, current elementary mathematics curricula fail to adequately develop the concept of positional system, attempting instead to teach operations in base ten in isolation. This paper exhibits the power of concept mapping to reveal to teachers the centrality of this concept in elementary mathematics. The map presented here, constructed by Meridith, a pre-service teacher, also features the pedagogical content knowledge required to successfully teach the concept of positional system and the other mathematics concepts to which it is related. Meridith’s pedagogical treatment is neither simplistic nor reductionist, but reveals the conceptual essence of the concepts in question and the complexity of their relationships within elementary mathematics when taught as a conceptual system.

Item Type: Book Section
Uncontrolled Keywords: Paper, CMC2006
Subjects: B Philosophy. Psychology. Religion > BF Psychology
L Education > L Education (General)
Q Science > QA Mathematics
Depositing User: Mr. Ernest Prats
Date Deposited: 22 Aug 2012 07:24
Last Modified: 03 Oct 2012 20:25

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