Abstract
This report focuses on a part of a research programme concerning secondary teachers´ beliefs towards their teaching of calculus with particular attention to graphing and computer-algebra technology. First the theoretical framework and methodology is outlined. Afterwards the focus lies on studying these teachers´ beliefs with a particular concern to the teachers´ intended calculus teaching in technology-based secondary mathematics courses and the way teachers actually employ the technological device in teaching and learning of calculus. We conclude the paper by summarising our main findings and making suggestions for further research.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Calderhead, J. (1996). Teachers: Beliefs and knowledge. In D. C. Berliner (Ed.), Handbook of Education (pp. 709–725). New York: MacMillan.
Eichler, A. (2011). Statistics teachers and classroom practices. In C. Batanero, G. Burril, & C. Reading (Eds.), Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education (pp. 175-186). New ICMI Study Series, vol. 15. Heidelberg, New York: Springer.
Eichler, A. & Erens, R. (transmitted). Teachers‘ beliefs towards teaching calculus. Transmitted for ZDM – The International Journal on Mathematics Education 46(4).
Franke, M. L., Kazemi, E., & Battey, D. (2007). Understanding teaching and classroom practice in mathematics. F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 225–256). Charlotte, NC: Information Age Publishing.
Glaser, B. & Strauss, A. (1967). The discovery of grounded theory. Chicago: Aldine.
Goos, M. & Soury-Lavergne, S. (2010). Teachers and Teaching: Theoretical Perspectives and Issues Concerning Classroom Implementation. In Hoyles, Celia (ed.) et al., Mathematics education and technology-rethinking the terrain. The 17th ICMI study. Dordrecht: Springer
Green, T. (1971). The Activities of Teaching. New York, NY: McGraw-Hill.
Grigutsch, S., Raatz, U., & Törner, G. (1998). Einstellungen gegenüber Mathematik bei Mathematiklehrern. Journal für Mathematikdidaktik 19 (1), 3–45.
Kuckartz, U. (2012). Qualitative Inhaltsanalyse. Methoden, Praxis, Computerunterstützung. Weinheim/Basel: Beltz Juventa.
Pajares, M. F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307–332.
Philipp, R.A. (2007). Mathematics teachers’ beliefs and affect. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257–315). Charlotte, NC: Information Age Publishing.
Schoenfeld, A. (2011). How we think—a theory of goal-oriented decision making and its educational applications. New York: Routledge.
Schraw. G. & Olafson, L. (2002). Teachers’ epistemological world views and education practices. Issues in Education: Contributions from Educational Psychology, 8 (2), 99–148.
Skott, J. (2009). Contextualising the notion of ‘belief enactment’. Journal for Mathematics Teacher Education 12, 27–46.
Staub, F., & Stern, E. (2002). The nature of teacher’s pedagogical content beliefs matters for students’ achievement gains: quasi-experimental evidence from elementary mathematics. Journal of Educational Psychology, 94 (2), 344–355.
Tall, D. (1991). The Psychology of Advanced Mathematical Thinking. In D. Tall (Ed.), Advanced mathematical thinking (pp. 3–21). Dordrecht, The Netherlands: Kluwer.
Tall, D., Smith, D. & Piez, Cynthia (2008). Technology and calculus. In M.K. Heid & G.W. Blume (Eds.), Research on technology and the teaching and learning of mathematics: synthesis, cases and perspectives. Vol. 1: Research synthesis (207-258). Charlotte, NC: Information Age Publishing.
Thomas, M.O.J. (2006). Teachers using computers in mathematics: a longitudinal study. In C. Hoyles, J. Lagrange, L.H. Son & N. Sinclair (Eds.), Proceedings for the Seventeenth ICMI Study Conference: Technology Revisited, Hanoi University of Technology, 3rd–8th December, 2006 [CD-ROM].
Thompson, A. G. (1992). Teachers’ beliefs and conceptions: a synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). New Jersey: NCTM.
Zbiek, R M.., Heid, M. K., Blume, G., & Dick, T.P. (2007). Research on technology in mathematics education: The perspective of constructs. In F. K. Lester (Ed.), Second Handbook of Research in Mathematics Teaching and Learning (pp. 1169–1207). Charlotte, NC: Information Age Publishing.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Erens, R., Eichler, A. (2015). The Use of Technology in Calculus Classrooms – Beliefs of High School Teachers. In: Bernack-Schüler, C., Erens, R., Leuders, T., Eichler, A. (eds) Views and Beliefs in Mathematics Education. Freiburger Empirische Forschung in der Mathematikdidaktik. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-09614-4_11
Download citation
DOI: https://doi.org/10.1007/978-3-658-09614-4_11
Published:
Publisher Name: Springer Spektrum, Wiesbaden
Print ISBN: 978-3-658-09613-7
Online ISBN: 978-3-658-09614-4
eBook Packages: Humanities, Social Sciences and LawEducation (R0)