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Teaching Mathematics and its Applications 1997 16(4):181-191; doi:10.1093/teamat/16.4.181
© 1997 by Institute of Mathematics and its Applications
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Differential Calculus: Concepts and Notation

DAVID HOBBS and SIMON RELF

David Hobbs lectures at the University of Exeter, School of Education, principally concerned with the undergraduate programme for students preparing to be teachers of mathematics at secondary level. His main interest is in the teaching of applications of mathematics
Simon Relf lectures at the University of Exeter, School of Education. He leads the mathematics component of the PGCE secondary programme

Address for correspondence: School of Education, University of Exeter, Heavitree Road, Exeter EX1 2LU, UK
This paper suggests that many students with A-level Mathematics, and even with a degree in Mathematics or a related subject, do not have an understanding of the basic principles of calculus. It considers advice given in books about the teaching of calculus in the last sixty years and describes the approach used in three textbooks in current use. Attention is drawn to the lack of a conceptual basis in the common core syllabus at A-level and some suggestions are made for improvements.


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