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Title: How prospective mathematics teachers solve the equation F(X) = F⁻¹(X)
Authors: Ho, Foo Him
Ng, Wee Leng
Keywords: Graphing calculator
Pre-service teacher training
Issue Date: Jul-2012
Citation: Paper presented at the 12th International Congress on Mathematical Education (ICME-12), Seoul, Korea, 8-15 July 2012
Abstract: Anecdotal evidence suggests that many pre-university students (Years 11 and 12) and some mathematics teachers in Singapore have several misconceptions in solving equations of the form f(x) = f⁻¹(x) and that the appropriate use of the graphing calculator (GC) has the potential to correct these misconceptions. This paper analyses a group of prospective teachers' responses to a diagnostic test and pre- and post-diagnostic test surveys which not only revealed various inappropriate uses of the GC in solving the equation f(x) = f⁻¹(x) but also illustrated pedagogical roles the GC could play in correcting students' misconceptions about functions and the understanding of the concepts of functions. The paper also discusses the implications of these findings on classroom practices and pedagogical strategies pertaining to the use of the GC at the pre-university level.
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