作为课程重要方面的多样性和一致性:对克罗地亚两门初等教育几何课程的内容分析

Dubravka Glasnovic Gracin, Ana Kuzle
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引用次数: 0

摘要

摘 要 多年来,学校几何面临着许多问题,包括在学校数学中失去了强有力的地位,并赢得了数学教学 "问题儿童 "的美誉。这些问题都源于预定课程中存在的问题。本文的目的是通过几何基本思想的视角,从几何主题的多样性和连贯性方面阐明克罗地亚小学数学教育的两个预定课程。此外,本文的分析还结合了以往在教科书任务和小学生对几何的印象方面所取得的成果和可能实施的课程。尽管与旧课程相比,新课程在几何基本思想方面体现了更多的多样性,但有明显的证据表明,它们仍然没有提供符合现代几何教育的学习机会。根据这些数据,对结果的理论和实践意义进行了讨论,目的是就如何改善学校几何在克罗地亚数学教育中的地位提出建议,以利于现代几何教育的发展,正如文献中所强调的那样。 关键词:基本思想;几何教育;小学教育;三方课程模式。SažetakŠkolska geometrija tijekom godina suočavala se s mnogim problemima, u što ulazi i gubitak nekad snažne pozicije unutar školske matematike te dobivanje reputacije "problematičnog djeteta" nastave Matematike.Ovi problemi proizlaze iz planiranog kurikula.在克罗地亚的数学课程中,我们以几何基本概念和几何基本概念为重点,分析了平面几何的问题。因此,研究结果既是对未来(类似于几何图形)的预测,也是对初步知识(研究)的潜在预测。新的几何图形在解决几何图形的基本概念方面具有独特的优势,其结果是几何图形将几何图形的潜力发挥到了极致。我们的研究结果证明,在克罗地亚的数学和文学研究中,几何方法是非常重要的。研究内容包括:基本概念;几何图形;快速几何图形;数学模型。
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Diversity and Coherence as Important Aspects of Curriculum: A Content Analysis of the Two Croatian Geometry Curricula for Primary Education/Raznolikost i koherentnost kao važni aspekti kurikula: analiza geometrijskih sadržaja dvaju hrvatskih kurikula u razrednoj nastavi
AbstractFor years, school geometry has faced with many issues including losing its strong position in school mathematics and earning the reputation of being the “problem child” of mathematics teaching. These issues stem from the problems in the intended curriculum. The goal of this paper is to shed light on the two intended curricula for primary mathematics education in Croatia in terms of the diversity and coherence of geometry topics through the lens of fundamental ideas of geometry. Additionally, the analysis is associated with previous results on the attained and potentially implemented curriculum regarding textbook tasks and primary school students’ images of geometry. Even though the new curriculum reflects more diversity regarding the fundamental ideas of geometry compared to the old curriculum, there is clear evidence that they still do not offer the learning opportunities in line with modern geometry education. Based on the data, the results are discussed with regard to their theoretical and practical implications with the goal of providing suggestions on how to improve the position of school geometry in mathematics education in Croatia conducive to modern geometry education, as emphasised in the literature.Keywords: fundamental ideas; geometry education; primary education; tripartite model of curriculum.---SažetakŠkolska geometrija tijekom godina suočavala se s mnogim problemima, u što ulazi i gubitak nekad snažne pozicije unutar školske matematike te dobivanje reputacije „problematičnog djeteta” nastave Matematike. Ovi problemi proizlaze iz planiranog kurikula. Cilj ovoga rada je analiza dvaju planiranih kurikula za razrednu nastavu Matematike u Hrvatskoj s fokusom na raznolikost i koherentnost geometrijskih sadržaja i kroz objektiv fundamentalnih ideja geometrije. Uz to, rezultati su povezani s prethodnim nalazima o postignutom (slike učenika o geometriji) i potencijalno primijenjenom kurikulu (udžbenički zadatci). Iako novi kurikul odražava više raznolikosti u pogledu fundamentalnih ideja geometrije u odnosu na stari, rezultati pokazuju da ti kurikuli još uvijek ne nude značajke suvremene metodike geometrije u punom potencijalu. Na temelju dobivenih rezultata provedena je rasprava s prijedlozima kako poboljšati položaj školske geometrije u matematičkom obrazovanju u Hrvatskoj prema preporukama iz literature.Ključne riječi: fundamentalne ideje; nastava geometrije; razredna nastava; trodijelni model kurikula. 
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