Search results for: Charalambous Charalambos Y.
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Investigating the Knowledge Needed for Teaching Mathematics: An Exploratory Validation Study Focusing on Teaching Practices
This study attempted to validate the argument that special knowledge is needed for teaching, in addition to pure mathematical knowledge. The authors explored participants’ knowledge with respect to four teaching practices: providing and evaluating explanations; selecting and using representations; analyzing student errors, misconceptions, and non-conventional solutions; and selecting tasks. The authors found no statistically significant differences between the three groups under consideration in the pure mathematical knowledge items. However, the findings suggest that measuring teacher knowledge by using multiple-choice tests might mask true differences that may exist among participants from different populations. Hence, alternative approaches are needed to tap into participants’ knowledge.
Updated: Jun. 26, 2017
In this study, the authors examine the task and knowledge demands for teaching integer operations with representations by analyzing teaching practice. Based on their analysis, the authors organize the generated knowledge components using the Mathematical Knowledge for Teaching framework. They conclude by drawing implications for teacher educators and curriculum developers.
Updated: Dec. 06, 2016
Prospective Teachers’ Learning to Provide Instructional Explanations: How Does It Look and What Might It Take?
In this article, the authors trace changes in the explanations offered by a purposeful sample of PSTs before and after a mathematics content/methods course sequence. The study reveals the limitations in PSTs’ explanations at their entrance to the course sequence. It also documents PSTs’ progress in providing explanations, thus providing existence proof that this practice is learnable.
Updated: Oct. 21, 2012
Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study
This study illuminates the claims that teachers' mathematical knowledge plays an important role in their teaching of this subject matter. In particular, we focus on teachers' mathematical knowledge for teaching (MKT), which includes both the mathematical knowledge that is common to individuals working in diverse professions and the mathematical knowledge that is specialized to teaching. A significant, strong, and positive association is found between levels of MKT and the mathematical quality of instruction.
Updated: Nov. 03, 2008