Evolution of teachers’ and researchers’ praxeologies for designing inquiry mathematics tasks: the role of teachers’ beliefs

IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH
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Abstract

This paper is focused on the collaborative work of two communities, one of teachers and one of researchers, during a teacher professional development program on the inquiry-based learning approach in mathematics, addressed to lower secondary school in-service mathematics teachers. We conceptualize the design of inquiry mathematics task as the boundary object on which the two communities work collaboratively. We aim to study the evolution of teachers’ and researchers’ meta-didactical praxeologies for designing inquiry mathematics tasks, with the Meta-Didactical Transposition framework, to understand if and how their collaboration favors their convergence toward shared components of final meta-didactical praxeologies. In the results, we show that this convergence is reached thanks to internalization processes of praxeological components for designing inquiry mathematics tasks, as a consequence of the learning mechanisms activated by the common work on the boundary object. In this paper, we address also the issue of understanding the complex relationship between teachers’ beliefs on inquiry mathematics tasks and the meta-didactical praxeologies of teachers and researchers. As a result, we propose a model in which the evolution of teachers’ beliefs is taken into account both as an agent and a consequence of the evolution of the meta-didactical praxeologies of the two communities involved in the teacher professional development program.

教师和研究人员设计数学探究任务的方法的演变:教师信念的作用
摘要 本文主要介绍了在为初中在职数学教师开展的数学探究式学习方法教师专业发展项目中,教师和研究人员两个群体的合作情况。我们将数学探究任务的设计概念化为两个群体合作的边界对象。我们的目的是利用元教学法转换框架,研究教师和研究人员设计数学探究任务的元教学法的演变,以了解他们的合作是否以及如何促进他们向最终元教学法的共同组成部分靠拢。研究结果表明,这种趋同得益于设计数学探究任务的实践论要素的内化过程,这是共同研究边界对象所激活的学习机制的结果。在本文中,我们还探讨了如何理解教师对数学探究任务的信念与教师和研究人员的元教学实践论之间的复杂关系。因此,我们提出了一个模型,在这个模型中,教师信念的演变既是教师专业发展项目中两个群体的元教学实践论演变的动力,也是其结果。
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来源期刊
Journal of Mathematics Teacher Education
Journal of Mathematics Teacher Education EDUCATION & EDUCATIONAL RESEARCH-
CiteScore
5.40
自引率
9.50%
发文量
35
期刊介绍: The Journal of Mathematics Teacher Education (JMTE) is devoted to research into the education of mathematics teachers and development of teaching that promotes students'' successful learning of mathematics. JMTE focuses on all stages of professional development of mathematics teachers and teacher-educators and serves as a forum for considering institutional, societal and cultural influences that impact on teachers'' learning, and ultimately that of their students. Critical analyses of particular programmes, development initiatives, technology, assessment, teaching diverse populations and policy matters, as these topics relate to the main focuses of the journal, are welcome. All papers are rigorously refereed. Papers may be submitted to one of three sections of JMTE as follows: Research papers: these papers should reflect the main focuses of the journal identified above and should be of more than local or national interest. Mathematics Teacher Education Around the World: these papers focus on programmes and issues of national significance that could be of wider interest or influence. Reader Commentary: these are short contributions; for example, offering a response to a paper published in JMTE or developing a theoretical idea. Authors should state clearly the section to which they are submitting a paper. As general guidance, papers should not normally exceed the following word lengths: (1) 10,000 words; (2) 5,000 words; (3) 3,000 words. Maximum word lengths exclude references, figures, appendices, etc. Critiques of reports or books that relate to the main focuses of JMTE appear as appropriate.
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