Abstract
A clinical interviewing method was used to investigate students' understanding of elementary calculus. The analysis of responses to tasks concerned with integration and limits led to detailed data concerning the degree of understanding attained and the common errors and misconceptions. Some conclusions were drawn concerning the teaching of integration and limits.
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References
Donaldson, M.: 1963,A Study of Children's Thinking, Tavistock Publications, London, pp. 183–185.
Heim, A. W.: 1970,AH4 Group Test of General Intelligence: Manual, National Foundation for Educational Research, Windsor.
Hooper, A.: 1961,Makers of Mathematics, Faber, London, pp. 253–258.
Mathematical Association: 1951,The Teaching of Calculus in Schools, Bell, London, pp. 2–6.
Midlands Mathematical Experiment: 1970,Volume Two GCE Part B, Harrap, London, pp. 38–47.
Orton, A.: 1980, ‘A cross-sectional study of the understanding of elementary calculus in adolescents and young adults’, unpublished PhD thesis, University of Leeds.
Reynolds, J.: 1961, The development of certain mathematical concepts in grammar school children between the ages of 11 and 18 years, unpublished MEd dissertation, University of Nottingham.
Taback, S.: 1975, ‘The child's concept of limit’, in M. F.Rosskopf, (ed.)Children's Mathematical Concepts, Teachers College Press, New York, pp. 111–114.
Tall, D. O.: 1977, ‘Conflicts and catastrophes in the learning of mathematics’,Mathematical Education for Teaching,2,4, 13–17.
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Orton, A. Students' understanding of integration. Educ Stud Math 14, 1–18 (1983). https://doi.org/10.1007/BF00704699
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DOI: https://doi.org/10.1007/BF00704699