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Societal differences and their influences on children's mathematics understanding

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Abstract

England and Taiwan are two societies in which the languages, the rationales of education, the teaching orientations and the learning motivations in school are very different. Would such differences influence children's mathematical understanding? This problem will be my main concern in this paper.

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References

  • Biggs J. B. and K. F.Collis: 1982,Evaluating the Quality of Learning; the SOLO Taxonomy, Nelson Publishing Company, Slough.

    Google Scholar 

  • Booth L. R.: 1981, ‘Child-methods in secondary mathematics’,Educational Studies in Mathematics 12, 29–41.

    Google Scholar 

  • Booth L. R.: 1984,Algebra: Children's Strategies and Errors, NFER-Nelson Publishing Company Ltd., Slough.

    Google Scholar 

  • Chang, C. K.: 1986, 1987,Primary and Junior High School Children's Understanding of Number Operations, Two reports, the first and the second year, of the Mathematics Understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan Teachers' College (in Chinese).

  • Chou, W. N.: 1987,Junior High School Children's Understanding of Measurement, a second year report of the Mathematics Understanding of Taiwan students programme (MUT), Dept. of Mathematics, Kaohsiung Teachers' College (in Chinese).

  • Cockcroft W. H.: 1982,Mathematics Counts, Her Majesty's Stationery Office, London.

    Google Scholar 

  • Freudenthal H.: 1983,Didactical Phenomenology of Mathematical Structures, D. Reidel Publishing Company, Dordrecht.

    Google Scholar 

  • Hart, K. M.: 1980,Secondary School Children's Understanding of Mathematics, A report of the mathematics component of the concepts in secondary mathematics and science programme, Chelsea.

  • Hart K. M.: 1981a,Children's Understanding of Mathematics: 11–16, John Murray, London.

    Google Scholar 

  • Hart K. M.: 1981b, ‘Hierarchies in mathematics education’,Educational Studies in Mathematics 12, 205–218.

    Google Scholar 

  • Hart K. M.: 1984,Ratio: Children's Strategies and Errors, NFER-Nelson Publishing Company Ltd., Slough.

    Google Scholar 

  • Huang, M. F.: 1987,Primary School Children's Understanding of Estimation, A report of the mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan University (in Chinese).

  • Kau, C. V.: 1987,Primary School Children's Understanding of Measurement, A second year report of the mathematics understanding of Taiwan students programme (MUT), Ping-Tung Teachers' College (in Chinese).

  • Kerslake D.: 1986,Fractions: Children's Strategies and Errors, NFER-Nelson Publishing Company Ltd., Slough.

    Google Scholar 

  • Kuchemann D.: 1981, ‘Algebra’, in K. M. Hart (1981),Children's Understanding of Mathematics: 11–16, John Murray, London.

    Google Scholar 

  • Kuo, F. P., F. L. Lin and K. H. Lin: 1986,Diagnostic Teaching: Ratio, A report of mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan Normal University (in Chinese).

  • Kuo, F. P., K. H. Lin and K. L. Lin: 1987,Junior High School Children's Understanding of Word Symbol, A first year report of mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan Normal University (in Chinese).

  • Lin, F. L., F. P. Kuo and K. H. Lin: 1984,Junior High School Children's Understanding of Ratio and Proportion and Word Symbol, A first year report of the mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan Normal University (in Chinese).

  • Lin, F. L., F. P. Kuo and K. H. Lin: 1985,Junior High School Children's Understanding of Ratio and Proportion, A second year report of the mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan Normal University (in Chinese).

  • Lin, F. L.: 1987a,Level of Understanding in Mathematics, Paper presented at ‘The Sino-American conference on mathematics education’, Kaohsiung Teachers' College, May.

  • Lin, F. L.: 1987b,Describing Level of Understanding: Ratio, Proceedings of the Eleventh International conference for the psychology of mathematics education, Montreal University.

  • Lin, F. L.: 1987c,Junior High School Children's Understanding of Rigid Transformations: Reflection, Rotation and Translation, A report of the mathematics understanding of Taiwan students programme (MUT) Dept. of Mathematics, Taiwan Normal University (in Chinese).

  • Lin, F. L. and L. R. Booth: 1987,Describing Elementary Strategies: Two Points of View, in preparation for theJournal of Mathematical Behaviour.

  • Lin, K. H., F. L. Lin and F. P. Kuo: 1986,Junior High School Children's Understanding of Ratio and Proportion—A Longitudinal Study, A third year report of the mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematical Science, Chengchi University, Taipei, Taiwan (in Chinese).

  • Miao, L. C.: 1987,Development of Understanding Calculus, A report of the mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan University (in Chinese).

  • Noelting G.: 1980a, ‘The development of proportional reasoning and the ratio concept: Part I, Differentiation of stages’,Educational Studies in Mathematics 11, 217–253.

    Google Scholar 

  • Noelting G.: 1980b, ‘The development of proportional reasoning and the ratio concept: Part II, Problem solving strategies and the mechanism of adaptive restructuring’,Educational Studies in Mathematics 12, 331–363.

    Google Scholar 

  • Sinkinson, A.: 1987, Personal communication.

  • To, Y. W.: 1987,Junior High School Children's Understanding of Graph, A first year report of the mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan Normal University (in Chinese).

  • Yang, J. S.: 1987,Primary and Junior Secondary School Children's Understanding of Fraction, A report of mathematics understanding of Taiwan students programme (MUT), Dept. of Mathematics, Taiwan Normal University (in Chinese).

  • Wang, K. P.et al.: 1985,A Study of Present Situation of Science Education in Taiwan, R.O.C. Science and Technology Advisory Group, Executive Yuan (in Chinese).

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For ideas and suggestions, I am grateful to A. J. Bishop, L. R. Booth and K. M. Hart. For long term cooperation, I thank F. P. Kuo and K. H, Lin. Professor Lin, K. H., is the statistician of the MUT programme. For sharing their data with me, I also thank J. S. Yang and L. C. Tsao, Tsao is the member of the mathematics wing in Wang'set al. (1985) study.

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Lin, FL. Societal differences and their influences on children's mathematics understanding. Educ Stud Math 19, 471–497 (1988). https://doi.org/10.1007/BF00578695

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