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eBook details

• Title: Unravelling Student Challenges with Quadratics: A Cognitive Approach.
• Author : Australian Mathematics Teacher
• Release Date : January 22, 2007
• Genre: Education,Books,Professional & Technical,
• Pages : * pages
• Size : 192 KB

Description

My secondary school mathematics students have often reported to me that quadratic relations are one of the most conceptually challenging aspects of the high school curriculum. From my own classroom experiences, there seemed to be several aspects to the students' challenges. Many students, even in their early secondary education, have difficulty with basic multiplication table fact retrieval. Difficulty retrieving multiplication facts directly influences students' ability to engage effectively in factorisation of quadratics, since factorisation is a process of finding products within the multiplication table. Finally, students also find it challenging to recognise and understand varied representations of the same quadratic relationship. In my own classroom, I had explored various pedagogical strategies in order to mediate for the challenges that I have outlined--everything from rehearsal to real world applications. However, I felt that my pedagogical efforts lacked the necessary insight on how the brain creates memory and felt that my pedagogical directions might be enhanced with this knowledge. Therefore, in order to construct my own classroom solutions, I turned to cognitive science to assist me in better understanding the mechanisms of fact retrieval. I surmised that problems with quadratic relations might potentially be linked to the ways in which the brain constructs cognitive representations and this knowledge might in turn inform my pedagogical decision making as a classroom teacher. This article is a sharing of my investigation.

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