Competencies and fighting syllabusism

IF 3.4 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Educational Studies in Mathematics Pub Date : 2024-01-26 DOI:10.1007/s10649-023-10285-2
Tomas Højgaard
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Abstract

For decades, mastery ambitions related to processes like problem-solving, modelling, and reasoning have been incorporated in mathematics curricula around the world. Meanwhile, such ambitions are hindered by syllabusism, a term I use to denote a conviction that results in mastery of a subject being equated with proficiency in a specific subject matter and making that equation the fulcrum of educational processes from teaching to curriculum development. In this article, I argue that using an open two-dimensional structure for curricular content that comprises a set of subject-specific competencies and a modest range of subject matter can help fight syllabusism. I explore and motivate the concept of syllabusism, using the development of a width-depth model of possible curricular ambitions within a given period of time to visualise the detrimental consequences for the attained depth of student learning. In the final part of the article, I illustrate the use of the width-depth model by analysing a specific mathematics curriculum. This analysis leads to two conclusions. Firstly, by highlighting mastery ambitions at the structural level, an open two-dimensional content structure is a powerful means to fight syllabusism. Secondly, using such an approach requires the explicit expression of these mastery ambitions and their conceptualisation independent of the subject matter. In the case of mathematics education, this has taken the form of a set of mathematical competencies.

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能力与反对教学大纲主义
几十年来,与解决问题、建模和推理等过程有关的掌握目标已被纳入世界各地的数学课程。我用 "教学大纲主义 "来指代这样一种信念,即把掌握一门学科等同于精通某一特定学科,并把这一等式作为从教学到课程开发等教育过程的支点。在这篇文章中,我认为使用一种开放的二维课程内容结构(包括一系列特定学科能力和适度范围的学科内容)有助于反对教学大纲主义。我探讨并激发了教学大纲主义的概念,利用在一定时期内可能的课程雄心的宽度-深度模型的发展,直观地说明了对学生学习深度的不利影响。在文章的最后一部分,我通过分析一个具体的数学课程来说明宽度-深度模型的使用。这一分析得出了两个结论。首先,通过在结构层面突出掌握的雄心,开放的二维内容结构是打击教学大纲主义的有力手段。其次,使用这种方法需要明确表达这些掌握目标,并将其概念化,使其独立于学科内容。就数学教育而言,其形式是一套数学能力。
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来源期刊
Educational Studies in Mathematics
Educational Studies in Mathematics EDUCATION & EDUCATIONAL RESEARCH-
CiteScore
5.60
自引率
9.40%
发文量
65
期刊介绍: Educational Studies in Mathematics presents new ideas and developments of major importance to those working in the field of mathematics education. It seeks to reflect both the variety of research concerns within this field and the range of methods used to study them. It deals with methodological, pedagogical/didactical, political and socio-cultural aspects of teaching and learning of mathematics, rather than with specific programmes for teaching mathematics. Within this range, Educational Studies in Mathematics is open to all research approaches. The emphasis is on high-level articles which are of more than local or national interest.? All contributions to this journal are peer reviewed.
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