代数学习领域背景下土耳其与德国数学课程的比较

Okan Kuzu, Yasemin Çi̇çek, Zeynep İğdeli̇
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摘要

在本研究中,土耳其和德国北莱茵-威斯特伐利亚州的数学课程在代数学习领域的背景下进行了研究。研究了学习成果在数量和质量上的异同;根据修订后的布鲁姆分类法的知识和认知过程维度进行分类。本研究采用定性研究方法,采用描述性筛选法进行。在数据收集过程中采用了文献分析技术。分析结果表明,在知识维度上,学习结果是相似的;认知过程维度的差异。而土耳其课程的结果是在分析阶段作为最高的认知水平;德国的课程还包括评估和创造等更高水平技能的结果。结果主要体现在两门课程的程序性知识和应用步骤中。虽然可以看出,土耳其课程的结果在数量上高于德国课程的结果,但已经确定,就内容而言,结果具有相互覆盖的性质。在审查实施建议时,可以看到它们都以详细和丰富的方式包含在课程中。另一方面,当根据国家调查文献中比较教育研究中使用的主题分布时,确定研究主要集中在课程的要素(目的/目标、内容、教育情况和测试情况)。在理解基本数学概念和获得高级认知技能的过程中,可以考虑现实生活中的问题和基于过程的教学模式来设计教学环境和程序。另一方面,由于技术是生活的一部分,教育过程可以与数字游戏和/或故事相结合,课程和学习成果可以以包含数字内容的教学材料的方式准备。此外,在数学教学过程中可以使用不同类型的表示,可以设计活动。
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A Comparison of the Mathematics Curriculums in Turkey and Germany in the Context of Algebra Learning Domain
In this study, Turkey and German state of North Rhine-Westphalia mathematics curriculum have been examined in the context of the algebra learning area. The learning outcomes have been investigated similarities and differences of the in terms of quantity and quality; classified in terms of knowledge and cognitive process dimensions of the revised Bloom's taxonomy. This study, in which the qualitative research approach was adopted, was carried out with the descriptive screening. Document analysis technique has been used in the data collection process. As a result of the analysis, it is determined that the learning outcomes are similar in terms of knowledge dimension; difference in terms of cognitive process dimension. While it is seen that the outcomes in the Turkey curriculum are in the analyze step as the highest cognitive level; Germany curriculum also includes outcomes for higher level skills such as evaluate and create. Moreover, it is seen that the outcomes are mainly included in the procedural knowledge and apply step for both curriculums. Although it is seen that the outcomes in the Turkey curriculum are quantitatively higher than the outcomes in the Germany curriculum, it has been determined that the outcomes in terms of content are of a nature to cover each other. When the implementation suggestions were examined, it was seen that they were included in both curriculums in a detailed and rich way. On the other hand, when the distribution of the themes used in comparative education studies in the literature according to the countries was investigated, it was determined that the studies mostly focused on the elements of the curriculum (aim/goal, content, educational situations and testing situations). In the process of making sense of basic mathematical concepts and acquisition of high-level cognitive skills, teaching environments and programs can be designed by considering real life problems and process-based teaching models. On the other hand, since technology is a part of life, the education process can be integrated with digital games and/or stories, and programs and learning outcomes can be prepared in a way that includes teaching materials with digital content. In addition, different types of representation can be used in the mathematics teaching process and activities can be designed.
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