Chords, tangents and the Leibniz notation
Tall, David. (1985) Chords, tangents and the Leibniz notation. Mathematics Teaching, Vol.11 . pp. 48-52. ISSN 0025-5785
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In this article I continue my quest for “understanding the calculus” 1,2 by looking at a practical approach to the notion of a tangent and linking it to the Leibniz notation
dy/dx in a meaningful way. The latter is a bête noire for students: it looks like a quotient, it acts like a quotient, yet the seeds of a classic psychological conflict are sown in their minds when they are told it must not be thought of as a quotient. I shall discuss how this conflict may be resolved so that the chain law allows cancellation.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Social Sciences > Institute of Education ( -2013)|
|Library of Congress Subject Headings (LCSH):||Mathematical notation, Calculus, Mathematics -- Study and teaching|
|Journal or Publication Title:||Mathematics Teaching|
|Publisher:||Association of Teachers of Mathematics|
|Page Range:||pp. 48-52|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Restricted or Subscription Access|
1. D O Tall: Understanding the Calculus, Mathematics Teaching 110, 49-53 1985.
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