论文信息 - A Historical Perspective on Teaching and Learning Calculus

A Historical Perspective on Teaching and Learning Calculus

Describes the key developments from 2000 years of thinking that have led to the understanding of calculus we teach today. Reminds us of just how difficult it is to understand the concepts involved and challenge teachers to allow this historical perspective to inform current teaching rather than presenting students with 'calculus rules' as finished products to be taken and used.

Jan van Maanen | Michiel Doorman | M. Doorman | J. Maanen

[1] J. Maanen. New Maths May Profit from Old Methods. , 1997 .

[2] L. M. Doorman,et al. Emergent modeling: discrete graphs to support the understanding of change and velocity , 2009 .

[3] Gilah C. Leder,et al. ZDM - The International Journal on Mathematics Education , 2008 .

[4] Eduard J. Dijksterhuis. De mechanisering van het wereldbeeld , 2006 .

[5] Hans Freudenthal,et al. Revisiting mathematics education : China lectures , 1991 .

[6] C. H. Edwards. The historical development of the calculus , 1979 .

[7] Iris Gulikers,et al. `A historical angle’, a survey of recent literature on the use and value of history in geometrical education , 2001 .

[8] K.P.E. Gravemeijer,et al. Context Problems in Realistic Mathematics Education: A Calculus Course as an Example , 1999 .

[9] Pieter H. Kollewijn,et al. De mechanisering van het wereldbeeld , 1951 .

[10] L. M. Doorman,et al. Modelling motion: from trace graphs to instantaneous change , 2005 .

[11] G. Pólya. Mathematical Methods in Science , 1998 .

[12] Patrick W Thompson,et al. Images of rate and operational understanding of the fundamental theorem of calculus , 1994 .

[13] A. Sfard. On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin , 1991 .