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A Teaching Experiment in Modelling through Scale Reduction Methods: A Bridge to Later Trigonometric Methods

A Teaching Experiment in Modelling through Scale Reduction Methods: A Bridge to Later Trigonometric Methods
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出处 《Journal of Mathematics and System Science》 2012年第6期359-367,共9页 数学和系统科学(英文版)
关键词 教学实验 三角函数 桥梁 模拟 测量误差 数学建模 学生 模型 Teaching experiment, scale reduction methods, trigonometric methods, validation and modification of the model, spatialgeometrical thinking.
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参考文献10

  • 1M. Niss, Perspectives on the balance between applications and modelling and 'pure' mathematics in the teaching and learning of mathematics, In: M. Menghini, F Furinghetti, L. Giacardi, F. Arzarcllo (Eds.), The first century of the International Commission on Mathematical Instruction (1908-2008) Reflecting and shaping the world of mathematics education, Enciciopedia Itatiana, Rome, Mar. 5-8, 2008.
  • 2E. Nagasaki, Reconstructing movement of mathematics education and the arrival of "mathematics dai Ichirui and nirui", Journal of National Institute for Educational Policy Research 20 (1990) 85-102.
  • 3T. Ikeda, T. Reaction to M. Niss's plenarytalk-Perspectives on the balance between applications and modelling and 'pure" mathematics in the teaching and learning of mathematics, In M. Menghini, F. Furinghetti, L. Giacardi, F. Arzarello (Eds.), The first century of the International Commission on Mathematical Instruction(1908-2008) Reflecting and shaping the world of mathematics education. Enciclopedia Italiana, Rome, Mar. 5-8, 2008.
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  • 7T. Ikeda, M. Stephens, Y. Tanaka, Mathematicalmodelling giving meaning to mathematics: A case study of Japanese textbooks seventy years ago, in: Proceedings of the 5th East Asia Regional Conference on Mathematics Education, Vol.2, 2010, pp. 591-598.
  • 8T. Ikeda, M. Stephens, The influence of problem format on students' approaches to mathematical modelling, In: P. Galbraith, W. Blum, G. Booker, I. Huntley (Eds.), Mathematical Modelling, Teaching and Assessment in a Technology-Rich World, Horwood, Chichester, 1998, pp. 223-232.
  • 9Tyuto Gakko Kyokasho Kabushiki Kaisya, Guideline of Mathematics 1-3 (Textbooks at Grade7-9) Dai Ichirui and Nirui, D ai Nihon Insatsu Kabushiki Kaisya 1943 b.
  • 10T. Ikeda, M. Stephens, The effects of students' Discussion in mathematics modelling, In: J.F. Matos, W. Blum, S.K. Houston, S.P. Carriera (Eds.), Modelling and Mathematics Education, Horwood, Chichester, 2001, pp. 381-390.

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