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The complexity of mathematical reasoning and justification in mathematics learning
—— 2018-12-11 ——

报告人Dr. Chua Boon Liang(蔡文亮)

主持人:吴颖康 副教授

时间:20181224日上午8:30 - 9:30

地点:闵行校区数学楼102

报告人简介:

蔡文亮博士,2013年于英国UCL教育学院获得博士学位,于新加坡南洋理工大学教育学院获数学教育硕士学位,于新加坡国立大学获理学学士学位,现为南洋理工大学教育学院数学与数学教育部助理教授。他的研究兴趣和领域包括任务设计与分析和数学思考与推理。

报告摘要:

Learning mathematics involves analysing a mathematical situation, developing an argument and establishing the validity of any argument put forth. These processes are often not easy for students, and even mathematics teachers, to navigate. Engaging students in these processes not only requires them to have an understanding of the nature and demand of the mathematical task, as well as good knowledge of mathematics contents, but, frequently, also needs learning opportunities for them to discover and construct mathematics ideas on their own and express their ideas using appropriate mathematical language. In this seminar, I shall draw on two funded research studies that I am involved in and share the sort of issues that the participating students faced. One of the studies, Justification in Mathematics (JiM), investigates the abilities of Singapore secondary school students and their mathematics teachers in expressing mathematical reasoning and constructing justification. The other study, Constructivist Learning Design for Singapore Secondary Mathematics Curriculum (CLD), seeks to develop a constructivist learning design that mathematics teachers can leverage on for classroom teaching of mathematics at the secondary level.