Journal für Mathematik-Didaktik

, Volume 15, Issue 3–4, pp 311–326 | Cite as

A Different Test and Different Result Analysis — an Example From a Calculus Exam

  • Shlomo Vinner


The paper relates to one of the topics raised in [RE], the issue of tests in teacher training. The nature of common tests and their negative impact on the quality of learning is discussed. It is recommended to include in tests questions which enforce students to experience higher thought levels while learning the course materials and while preparing themselves for the tests. An example of such a question from a calculus exam is brought and the students* answers are analysed from a cognitive point of view. The results show that at the end of a university calculus course for science students ( which is the concluding mathematics course for most of them ) many students lack a conceptual understanding and analytical abilities that are, probably, assumed to be achieved.


Dissemination Rate Conceptual Understanding Thought Process Healthy Animal Homework Assignment 


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  1. [CA]
    CARLSON, D., Teaching linear algebra: must the fog always roll in? College Mathematics Journal 24, (1993) 29–40.CrossRefGoogle Scholar
  2. [DA]
    DAVIS, R. and VINNER, S., The notion of limit: some seemingly unavoidable developmental stages, Journal of Mathematical behavior 5(3) (1986), 281–303.Google Scholar
  3. [RE]
    REICHEL, H.C., Teaching student teachers: Integration of mathematics education into “classical” mathematics courses. Examples and various aspects, JDM 10 (1992), 367–377.Google Scholar
  4. [VII]
    VINNER, S., True instrumental versus the quasi instrumental performance in mathematics learning, in Mathematics Learning: Papers in Honor of Rhichard Skemp, Warwick University, 1986, 80–97.Google Scholar
  5. [VI2]
    VINNER, S., The lesson — a preconceptional stage, Proceedings of the Thirteenth International Conrerence for the Psychology of Mathematics Education, III, Paris, 1989, 236–243.Google Scholar
  6. [VI3]
    VINNER, S., The role of definitions in the teaching and in the learning of mathematics, in Tall, D. (ed.), Advanced Mathematical Thinking, Kluer Academic Publishers, 1991, 65–81.Google Scholar
  7. [VI4]
    VINNER, S., Pseudo-analytical and pdeudo-conceptual behaviors in science learning, a paper presented at the International Conference on Science Education in Developing Countries, Jerusalem, 1993Google Scholar

Copyright information

© GDM - Gesellschaft für Didaktik der Mathematik 1994

Authors and Affiliations

  • Shlomo Vinner
    • 1
  1. 1.Science Teaching DepartmentHebrew University of JerusalemIsrael

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