Teachers of Mathematics as Problem-Solving Applied Mathematicians

  • PDF / 333,524 Bytes
  • 17 Pages / 504 x 720 pts Page_size
  • 67 Downloads / 195 Views

DOWNLOAD

REPORT


Canadian Journal of Science, Mathematics and Technology Education Publication details, including instructions for authors and subscription information: http://www.tandfonline.com/loi/ucjs20

Teachers of Mathematics as ProblemSolving Applied Mathematicians a

Helen Chick & Kaye Stacey a

b

University of Tasmania , Hobart , Australia

b

University of Melbourne , Melbourne , Australia Published online: 31 May 2013.

To cite this article: Helen Chick & Kaye Stacey (2013): Teachers of Mathematics as Problem-Solving Applied Mathematicians, Canadian Journal of Science, Mathematics and Technology Education, 13:2, 121-136 To link to this article: http://dx.doi.org/10.1080/14926156.2013.784829

PLEASE SCROLL DOWN FOR ARTICLE Full terms and conditions of use: http://www.tandfonline.com/page/terms-and-conditions This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae, and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand, or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material.

CANADIAN JOURNAL OF SCIENCE, MATHEMATICS AND TECHNOLOGY EDUCATION, 13(2), 121–136, 2013 C OISE Copyright  ISSN: 1492-6156 print / 1942-4051 online DOI: 10.1080/14926156.2013.784829

Teachers of Mathematics as Problem-Solving Applied Mathematicians Helen Chick University of Tasmania, Hobart, Australia

Downloaded by [University of Guelph] at 11:17 01 June 2013

Kaye Stacey University of Melbourne, Melbourne, Australia

Abstract: Some of mathematics teaching is routine, like an exercise from a textbook for which you have received instruction and already know what to do. On other occasions, however, teaching mathematics is challenging, involving problems of teaching for which the solutions may not be readily apparent. These situations require the application of mathematical knowledge in concert with other types of knowledge for teaching. In this article, we explore the idea that teachers of mathematics act as applied mathematicians in applying mathematical knowledge to the resolution of teaching problems. This task involves the complex interplay of mathematical and teaching knowledge and processes of problem solving with success judged according to how well students learn. The article discusses these ideas through an examination of seven scenarios. R´esum´e: Tout comme certaines tˆaches math´ematiques rel`event de la routine, par exemple la r´esolution d’un probl`eme tir´e d’un manuel, l’enseignement de certains aspects des math´ematiques est e´ galement routinier. Mais il arrive parfois