Teaching measurement: The role of mathematics teachers' enacted PCK on gain in learner outcomes

H. Botha, Coréne Coetzee, Liezell Zweers
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Abstract

Teaching is a challenging profession where teachers must create valuable learning opportunities to enhance learners’ conceptual understanding. Apart from mathematical content knowledge, teachers use their pedagogical content knowledge (PCK) that develops as they reflect on previously taught lessons and learner responses in assessments. International and national assessment studies showed that South African learners perform poorly in, among other topics, Measurement. Thus, we determined the gain in learner outcomes as revealed in a pre-and post-test on Measurement and studied one of the PCK domains, namely teachers’ enacted PCK as informed by the baseline assessment learner outcomes. The aim was to determine how teachers’ enacted PCK relate to learner outcomes. Underpinned by a social constructivist paradigm, the study used a mixed-method research approach. Data were gathered from a pre-and post-test written by 124 Grade 9 learners taught by two experienced mathematics teachers in a city school in South Africa. Findings revealed that although some improvements are evident after the topic has been taught, the test was still experienced as difficult by almost all the learners. However, from the observations, there is little evidence that the experienced teachers extensively used the baseline assessment outcomes to inform their teaching.
教学测量:数学教师制定的PCK对学习者成果增益的作用
教学是一项具有挑战性的职业,教师必须创造有价值的学习机会来增强学习者的概念理解。除了数学内容知识外,教师还使用他们的教学内容知识(PCK),这些知识是他们在评估中反思以前教过的课程和学习者的反应时发展起来的。国际和国家评估研究表明,南非学习者在测量等方面表现不佳。因此,我们确定了在测量前和后测试中显示的学习者成果的增益,并研究了PCK的一个领域,即教师制定的PCK,根据基线评估学习者成果。目的是确定教师制定的PCK与学习者成果的关系。本研究以社会建构主义范式为基础,采用混合研究方法。数据收集自南非一所城市学校的124名九年级学生在两名经验丰富的数学老师的指导下编写的测试前和测试后的数据。调查结果显示,尽管在教授了主题之后有了一些明显的进步,但几乎所有的学习者仍然觉得这个测试很难。然而,从观察来看,几乎没有证据表明有经验的教师广泛使用基线评估结果来指导他们的教学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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