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Academic mathematics and mathematical knowledge needed in school teaching practice: some conflicting elements

机译:学校教学实践中需要的学术数学和数学知识:一些矛盾的要素

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In this article we analyze the relations between academic mathematical knowledge and the mathematical knowledge associated with issues mathematics school teachers face in practice, according to the specialized literature, and restricted to the theme “number systems”. We present examples that illustrate some areas of conflict between those forms of knowledge. We point out some implications of our study for teacher education, such as: 1) the importance of making conflicts explicit and of discussing them with prospective teachers in order to develop a professionally relevant perception of academic mathematics; 2) the relevance of further research in order to better understand the extent of those conflicts and their effects on the process of integrating, in a body of professional knowledge, the different kinds of mathematical knowledge presented to prospective teachers.
机译:在这篇文章中,我们根据专业文献分析了学术数学知识与数学学校教师在实践中面临的问题相关的数学知识之间的关系,并局限于“数字系统”这一主题。我们提供的示例说明了这些知识形式之间的某些冲突领域。我们指出了我们的研究对教师教育的一些影响,例如:1)明确冲突并与准教师讨论冲突的重要性,以便发展与专业相关的学术数学观念; 2)进行进一步研究的相关性,以便更好地了解这些冲突的程度及其对在专业知识体系中整合呈现给准教师的各种数学知识的过程的影响。

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