Measuring Austrian students’ procedural knowledge at the end of upper secondary level

Christoph Ableitinger, Christian Dorner
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Abstract

The number of complaints university lecturers make about a lack of knowledge, especially first-year students’ procedural knowledge, has increased recently. Due to missing adequate empirical evidence, a survey of procedural knowledge among students of Austrian high schools in their final year was conducted. For this purpose, test items for procedural knowledge were created, validated and processed by a total of 455 students without technology and formula booklets. The test items were based on a theoretical model with the dimensions number of procedural steps, curricular grade level, content area and rating of importance. Linear models were used to describe the dependencies between the students’ success rate and these dimensions. The results show that the level of procedural knowledge among the students is relatively low overall. A closer look reveals that tasks at lower secondary level have a significantly higher students’ success rate than tasks at upper secondary level. Furthermore, there is a positive correlation between the students’ success rate of a task and the experts’ assessment of whether this task should be able to be solved by students without technological aids. Interestingly, the dimensions number of procedural steps and content area have no significant impact on the students’ success rate.
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测量奥地利学生在高中阶段的程序知识
最近,大学讲师抱怨学生缺乏知识,尤其是一年级学生的程序知识的数量有所增加。由于缺乏足够的经验证据,对奥地利高中学生的最后一年的程序知识进行了调查。为此,共有455名学生在没有技术和公式手册的情况下创建、验证和处理了程序知识的测试项目。测试项目以程序步骤数、课程年级水平、内容范围和重要性等级为维度的理论模型为基础。使用线性模型来描述学生成功率与这些维度之间的依赖关系。结果表明,学生的程序性知识水平总体较低。仔细观察就会发现,初中阶段任务的学生成功率明显高于高中阶段任务。此外,专家对学生是否能够在没有技术帮助的情况下完成任务的评估与学生完成任务的成功率之间存在正相关关系。有趣的是,程序步骤数和内容面积的维度对学生的成功率没有显著影响。
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来源期刊
CiteScore
3.30
自引率
11.10%
发文量
123
期刊介绍: Mathematics is pervading every study and technique in our modern world, bringing ever more sharply into focus the responsibilities laid upon those whose task it is to teach it. Most prominent among these is the difficulty of presenting an interdisciplinary approach so that one professional group may benefit from the experience of others. The International Journal of Mathematical Education in Science and Technology provides a medium by which a wide range of experience in mathematical education can be presented, assimilated and eventually adapted to everyday needs in schools, colleges, polytechnics, universities, industry and commerce. Contributions will be welcomed from lecturers, teachers and users of mathematics at all levels on the contents of syllabuses and methods of presentation.
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