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Introducing technology in algebra in Hong Kong: addressing issues in learning
Authors:Ida A C Mok  David C Johnson  Joanne Y H Cheung  Arthur M S Lee
Institution:Department of Mathematics , University of Edinburgh , Scotland
Abstract:A review of recent studies in Hong Kong suggests that possible problems in secondary school algebra may be due to the procedural paradigm orientation in the curriculum and the conventional style of teaching in the classroom which do not provide sufficient opportunities for students to develop conceptual understanding. Based on the works of a number of projects in the West, it is hypothesized that the introduction of technology in lessons which embody a cognitive model in their design and delivery will provide a viable alternative for enhancing algebraic thinking. The key features of the cognitive model are concrete preparation, cognitive conflict, construction, metacognition and bridging, imbedded in a ‘mediation’ style of teaching. These features are exemplified by detailed accounts of classroom episodes from a Hong Kong lesson supported by the use of graphics calculators. Results indicate that while the approach places particular demands on teachers (a tension between a transmission style of teaching and mediating) there is real potential for supporting more dynamic student constructions.
Keywords:binomial coefficients  Fibonomial coefficients  M-bonacci sequence  M-bonomial coefficients  mth g-gonal number
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