学习线性函数的代价——南非和德国两本教科书的比较研究

IF 0.3 Q4 EDUCATION, SCIENTIFIC DISCIPLINES
Kathleen M. Mellor, Robyn Clark, Anthony A Essien
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引用次数: 4

摘要

教材内容具有影响数学学习的能力。这项研究比较了两本教科书中线性函数的表现方式,一本是南非的,另一本是德国的。在南非豪登省的一所学校里,这两本教科书被用于不同的语言流。对这两本教材中线性函数的命题进行了定性的内容分析。考虑了程序知识和概念知识之间的相互作用,函数的多种表示的集成,以及与其他数学内容领域和现实世界之间的联系。研究发现,德国教科书中促进概念知识发展的内容比例更高。这尤其是由于所分析的教科书章节中包含的任务的认知需求水平。此外,虽然南非教科书提供了更广泛的机会来与不同的功能表示进行互动,但德国教科书则包含了与现实世界的更多联系。这两本教科书都将“函数”与其他数学内容领域联系起来,尽管德国教科书包含了更广泛的相关主题。因此,这两个流的学习者在学习数学时会接触到不同的可供性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Affordances for learning linear functions: A comparative study of two textbooks from South Africa and Germany
Textbook content has the ability to influence mathematical learning. This study compares how linear functions are presented in two textbooks, one of South African and the other of German origin. These two textbooks are used in different language-based streams in a school in Gauteng, South Africa. A qualitative content analysis on how the topic of linear functions is presented in these two textbooks was done. The interplay between procedural and conceptual knowledge, the integration of the multiple representations of functions, and the links created to other mathematical content areas and the real world were considered. It was found that the German textbook included a higher percentage of content that promoted the development of conceptual knowledge. This was especially due to the level of cognitive demand of tasks included in the analysed textbook chapters. Also, while the South African textbook presented a wider range of opportunities to interact with the different representations of functions, the German textbook, on the other hand, included more links to the real world. Both textbooks linked ‘functions’ to other mathematical content areas, although the German textbook included a wider range of linked topics. It was concluded that learners from the two streams are thus exposed to different affordances to learn mathematics by their textbooks.
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来源期刊
Pythagoras
Pythagoras EDUCATION, SCIENTIFIC DISCIPLINES-
CiteScore
1.50
自引率
16.70%
发文量
12
审稿时长
20 weeks
期刊介绍: Pythagoras is a scholarly research journal that provides a forum for the presentation and critical discussion of current research and developments in mathematics education at both national and international level. Pythagoras publishes articles that significantly contribute to our understanding of mathematics teaching, learning and curriculum studies, including reports of research (experiments, case studies, surveys, philosophical and historical studies, etc.), critical analyses of school mathematics curricular and teacher development initiatives, literature reviews, theoretical analyses, exposition of mathematical thinking (mathematical practices) and commentaries on issues relating to the teaching and learning of mathematics at all levels of education.
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