不同教育水平的代数思维能力是什么?

Ufuk Töman, Ömer Gökburun
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引用次数: 1

摘要

本研究旨在了解六、七、八年级学生的代数思维水平、对代数表达式的误解和理解水平。本研究采用描述性研究中的发展性研究方法。这项研究是在土耳其东安纳托利亚地区一个省的一所公立学校的中学生(六年级、七年级和八年级)中进行的。该研究的样本包括82名在2020-2021学年第二学期就读中学的学生。采用8题4个层次的代数思维水平判定表(ATLDF)和访谈法作为数据收集工具。测试对象为33名六年级学生、21名七年级学生和28名八年级学生,并进行访谈。从测试和访谈中可以看出,学生对代数表达式的误解有30个,代数思维水平很低,达到四级的学生只有3人,而且都是女生。结果表明:在算术向代数过渡中存在问题的学生代数思维水平较低;因此,有人建议要牢固地建立算术与代数之间的联系,并朝着这个方向进行研究。
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What Was and Is Algebraic Thinking Skills at Different Education Levels?
The aim of this study is to determine the algebraic thinking levels, misconceptions and understanding levels of algebraic expressions of 6th, 7th and 8th grade students. In this research, developmental research methods, which is one of the descriptive studies, were used. This study was carried out with secondary school students (6th, 7th and 8th grades) studying in a public school located in a province of the Eastern Anatolia Region in Turkey. The sample of the study consists of 82 students studying at secondary school in the second semester of the academic year 2020-2021. Algebraic thinking levels determination form (ATLDF), consisting of 8 questions and 4 levels, and interview were used as data collection tools. The test was administered to 33 students from 6th grades, 21 students from 7th grades and 28 students from 8th grades, and then interviews were conducted. From the tests and interviews, it was seen that the students had 30 misconceptions about algebraic expressions, that their algebraic thinking levels were quite low, that there were only 3 students who could reach Level-4 and all of these students were female students. From the results, it was concluded that the algebraic thinking level of the students who have problems in the transition from arithmetic to algebra is low; and therefore, it was suggested that the connection between arithmetic and algebra should be established firmly, and studies should be done in this direction.
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