Beliefs of liberal arts mathematics students regarding the nature of mathematics
Szydlik S.D.
2013
Teaching Mathematics and its Applications
4
10.1093/teamat/hrt002
This studycompared general education students'beliefs about the nature ofmathematical behaviour with those of mathematics majors and mathematics faculty at both at the start and at the completion of an inquiry-based mathematics course.The course was designed to provide students with authentic experiences in doing mathematics. Results from an initial survey were consistentwith findings fromearlier studies of similar groups (e.g. prospective elementary teachers): participants viewed the subject as a body of facts and procedures that were at best loosely connected. However, data showed dramatic changes in general education students' mathematical beliefs by the end of the course; on the post-survey, general education students scored on par with mathematics majors. This work suggests that themathematical beliefs of these students can be changed. © The Author 2013. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved.
Adler A., Mathematics and creativity, New Yorker, 19, (1972); Ambrose R., Philipp R., Chauvot J., Clement L., A web-based survey to assess prospective elementary school teachers' beliefs about mathematics and mathematics learning: an alternative to Likert scales., Proceedings of the 2003 Joint Meeting of PME and PMENA, 2, pp. 33-39, (2003); Bell E.T., The Queen of the Sciences, (1931); Brown S., Cooney T., Jones D., Mathematics teacher education. Handbook of Research on Teacher Education, pp. 639-656, (1990); Davis P., Hersh R., Marchisotto E., The Mathematical Experience: Study Edition, (1995); Devlin K., Mathematics: The Science of Patterns: The Search for Order in Life, Mind and the Universe, (1994); Dewar J., What is mathematics: student and faculty views, Proceedings for the Eleventh Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education, (2008); Dudley U., Is mathematics necessary?, CMJ, 28, pp. 360-364, (1997); Foss D., Kleinsasser R., Preservice Elementary Teachers' views of pedagogical and mathematical content knowledge, Teach. Teach. Educ., 12, pp. 429-442, (1996); Frank M.L., Problem solving and mathematical beliefs, Arith. Teach., 35, pp. 32-34, (1988); Garofalo J., Beliefs and their influence on mathematical performance, Math. Teach., 82, pp. 502-505, (1989); Hoffman K., The science of patterns: a practical philosophy of mathematics education, (1989); James G., James R., Et al., Mathematics Dictionary, (1959); Kagan D.M., Implications of research on teacher belief, Educ. Psychol., 27, pp. 65-90, (1992); Kline M., Mathematics in Western Culture, (1953); Kloosterman P., Students' beliefs about knowing and learning mathematics: Implications for motivation., Motivation in Mathematics, pp. 131-156, (1996); Kloosterman P., Beliefs about mathematics and mathematics learning in the secondary school: measurement and implications for motivation., Beliefs: A Hidden Variable in Mathematics Education?, pp. 247-269, (2002); Leder G.C., Forgasz H.J., Measuring mathematical Beliefs and their impact on the Learning of Mathematics: a new approach., Beliefs: A Hidden Variable in Mathematics Education?, pp. 95-112, (2002); Lerman S., Investigations: Where to now? Teaching and Learning Mathematics, PART 1, pp. 47-56, (1987); Mau S., Beliefs of college-level remedial mathematics students, (1991); Everybody Counts: A Report to the Nation on the Future of Mathematics Education, (1989); Op'teynde P., De Corte E., Verschaffel L., Framing students' mathematics-related beliefs., Beliefs: A Hidden Variable in Mathematics Education?, pp. 13-37, (2002); Pajares M.F., Teachers' beliefs and education research: cleaning up a messy construct, Rev. Educ. Res., 62, pp. 307-332, (1992); Philipp R., Mathematics teachers' beliefs and affect., Second Handbook of Research on Mathematics Teaching and Learning, pp. 257-315, (2007); Schoenfeld A.H., Mathematical Problem Solving, (1985); Schoenfeld A.H., Learning to think mathematically: problem solving, metacognition, and sense-making in mathematics., Handbook for Research on Mathematics Teaching and Learning, pp. 334-370, (1992); Schoenfeld A.H., Reflections on doing and teaching mathematics., Mathematical Thinking and Problem Solving, pp. 53-70, (1994); Stage F., Kloosterman P., Gender, beliefs, and achievement in remedial college-level mathematics, J. High. Educ., 66, pp. 294-311, (1995); Steen L., The science of patterns, Science, 240, pp. 611-616, (1988); Szydlik J., Szydlik S., Benson S., Exploring changes in pre-service elementary teachers' mathematical beliefs, J. Math. Teach. Educ., 6, pp. 253-279, (2003); Szydlik S., Liberal arts mathematics students' beliefs about the nature of mathematics: a case study in survey research, Guide to the Scholarship of Teaching and Learning in Mathematics, (2013); Thompson A.G., Teachers' beliefs and conceptions: a synthesis of the research., Handbook for Research on Mathematics Teaching and Learning, pp. 334-370, (1992); Torner G., Mathematical beliefs - a search for a common ground: some theoretical considerations on structuring beliefs, some research questions, and some phenomenological observations., Beliefs: A Hidden Variable in Mathematics Education?, pp. 73-94, (2002)
Oxford University Press
Article
All Open Access; Bronze Open Access
Scopus