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Diagnosing students' difficulties in learning mathematics

By David Tall and Mohamad Rashidi Razali

Abstract

This study considers the results of a diagnostic test of student difficulty and contrasts the difference in performance between the lower attaining quartile and the higher quartile. It illustrates a difference in qualitative thinking between those who succeed and those who fail in mathematics, illustrating a theory that those who fail are performing a more difficult type of mathematics (coordinating procedures) than those who succeed (manipulating concepts). Students who have to coordinate or reverse processes in time will encounter far greater difficulty than those who can manipulate symbols in a flexible way. The consequences of such a dichotomy and implications for remediation are then considered

Topics: LB, QA
Publisher: Taylor & Francis Ltd.
Year: 1993
OAI identifier: oai:wrap.warwick.ac.uk:512

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Citations

  1. (1988). Difficulties Students have with the Function Concept”, The Ideas of Algebra,
  2. (1991). Duality, Ambiguity and Flexibility doi
  3. L.A.,1989: “Mathematics for a new century”,
  4. Laporan Jawatankuasa Kabinet Mengkaji Perlaksanaan Dasar Pelajaran,1979,
  5. (1982). Laporan Jawatankuasa Mengkaji Taraf Pelajaran di Sekolah-Sekolah,
  6. (1990). Learning difficulties behind the notion of absolute value”,
  7. (1987). Nonconservation of multiplication and division involving decimals”, doi
  8. Simon H.A.,1972: Human Problem Solving, doi
  9. (1983). Some aspects of children’s ability to solve mathematical problems”, doi
  10. (1993). Students’ Mental Prototypes for Functions and Graphs”, doi
  11. (1970). The Conditions of Learning, Holt Rinehart and doi
  12. (1983). The Didactical Phenomenology of Mathematics Structures, doi
  13. (1958). Thinking, George Allen ~ Unwin,
  14. Vinner S.,1983: “Concept definition, concept image and the notion of function”, doi

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