• Login
  • Register
  • Search

Prospective teachers’ beliefs and self-efficacy beliefs about inquiry-based teaching approach in mathematics

Areti Chr Panaoura

Abstract


The present study focuses on the investigation of prospective teachers’ beliefs and self-efficacy beliefs about the use of the inquiry-based teaching approach in mathematics education during their studies, before and after fieldwork. The aim of the two courses they attended during their studies in a pedagogical department emphasized the understanding of the human involvement on the development of the mathematical concepts through the history of mathematics and the role of investigation and exploration at the teaching of mathematics, as a part of the inquiry-based approach. At the final year of their studies, during the fieldwork they were expected to implement the acquired knowledge about innovative processes in real life classroom situations. The study which conducted with the participation of 73  prospective teachers is divided into three main phases: a) examining their beliefs and self-efficacy beliefs after attending a course about Basic Mathematical Concepts based on the History of Mathematics, b) examining their beliefs and their self-efficacy beliefs after attending a course about the Methodology of Teaching Mathematics in primary education and c) examining the difficulties they face during their first teaching experiences in real life school situations during the last year of their studies. Results indicated that participants seemed to believe in the value of inquiry-based approach and they had high self-efficacy beliefs about using explorations and investigations which were presented at the textbooks; however they had low self-efficacy beliefs about constructing mathematical investigations and explorations by themselves and overcoming teaching difficulties which were related with children’s misunderstandings and time allocation management, during the fieldwork experience. 


Keywords


Inquiry-based teaching, history of mathematics, beliefs and self-efficacy beliefs

Full Text:

PDF

Included Database


References


Alsup J, 2005, A comparison of constructivist and traditional instruction in mathematics. Educational Research Quarterly, vol. 28(4): 3-17.

Aulls MW and Shore BM, 2008, Inquiry in Education, Volume I: The Conceptual Foundations for Research as a Curricular Imperative. New York: Lawrence Erlbaum Associates.

Barbin E, Bagni G, Grugnetli L and Kronfellner M, 2000, Integrating history: research perspectives. In J Fauvel and J Maanen (Eds.), History in mathematics education – The ICMI study (pp. 63-90). Dordrecht: Kluwer.

Bates A, Kim J and Latham N, 2011, Linking preservice teachers’ mathematics self-efficacy and mathematics teaching efficacy to their mathematical performance. School Science and Mathematics vol.111 (7): 325-334.

Bell RL, Smetana L and Binns I, 2005, Simplifying inquiry instruction: Assessing the inquiry level of classroom activities. The Science Teacher vol.72(7): 30-33.

Brousseau G, 1997, Theory of didactical situations in mathematics. In N Balacheff, M Cooper R, Sutherland et al, Mathematics Education Library, Dordrecht: Kluwer.

Burns M, 2004, Writing in math. Educational Leadership, vol. 62: 30-33.

Chapman O, 2011, Elementary school teachers’ growth in inquiry – based teaching of mathematics, ZDM Mathematics Education, vol.43: 951-963.

Charalambous C, Philippou G and Kyriakides L, 2008, Tracing the development of pre-service teachers’ efficacy beliefs in teaching mathematics during fieldwork, Educational Studies in Mathematics, vol. 5: 125-142.

Charalambous C and Philippou G, 2010, Teachers’ concerns and efficacy beliefs about implementing a mathematics curriculum reform: integrating two lines of inquiry, Educational Studies in Mathematics, vol. 75 (1): 1-21.

Chin E and Lin F, 2013, A survey of the practice of a large – scale implementation of inquiry – based mathematics teaching: from Taiwan’s perspective, ZDM Mathematics Education, vol. 45: 919-923.

Clark K, 2006, Investigating teachers’ experiences with the history of logarithms: a collection of five case studies. Dissertation: University of Mayrland.

Crawford B, 2007, Learning to teach science as inquiry in the rough and tumble of practice. Journal of Research in Science Teaching, vol. 44 (4): 613-642.

Dorier J and Garcia F, 2013, Challenges and opportunities for the implementation of inquiry-based learning in day-to-day teaching, ZDM Mathematics Education, vol. 45: 837-849.

Dubey M and Singh B, 2013, Assessing the effect of implementing mathematics history with Algebra. International Journal of Scientific and Research Publications, vol. 3 (8): 1-3.

Fauvel J, 1991, Using history in mathematics education, For the Learning of Mathematics, vol. 11(2): 3-6.

Fleener M, Reeder S, Young E and Reylands, A, 2002, History of mathematics: Building relationships for teaching and learning, Action in Teacher Education, vol. 24: 73-84.

Furinghetti F, 2007, Teacher education through the history of mathematics. Educational Studies in Mathematics, vol. 66: 131-143.

Gagatsis A and Panaoura A, 2014, A multidimensional approach to explore the understanding of the notion of absolute value, International Journal of Mathematical Education in Science and Technology, vol. 45 (2): 159-173.

Goktepk S and Sukru A, 2013, An example of using history of mathematics in classes. European Journal of Science and Mathematics Education, vol. 1 (3): 125-136.

Goldin A, 2002, Affect, meta-affect and mathematical belief structures. In G. Leder, E. Pehkonen, & G. Torner (Eds.), Beliefs: A hidden variable in mathematics education (pp. 59-72). Dordrecht: Kluwer.

Gooya Z, 2007, Mathematics teachers’ beliefs about a new reform in high school geometry in Iran, Educational Studies in Mathematics, vol. 65 (3): 331-347.

Gulikers I and Blom K, 2001, 'A historical angle', a survey of recent literature on the use and value of history in geometrical education, Educational Studies in Mathematics, vol. 47(2): 223-258.

Gurvitch R and Metzler M, 2009, The Effects of Laboratory-Based and Field-Based Practicum Experience on Pre-Service Teachers' Self-Efficacy. Teaching and Teacher Education: An International Journal of Research and Studies, vol. 25 (3): 437-443.

Kazempour M, 2009, Impact of inquiry-based professional development on core conceptions and teaching practices: A case study. Science Educator, vol. 18 (2): 56-68.

Kogan M and Laursen S, 2014, Accessing long-term effects of inquiry – based learning: A case study from college mathematics. Innovative Higher Education, vol. 39: 183-199.

Krajcik JS and Blumenfeld P, 2006, Project-based learning. In Sawyer R K (Ed.), The Cambridge handbook of the learning sciences. New York: Cambridge.

Lebak K and Tinsley R, 2010, Can inquiry and reflection be contagious? Science teachers, students, and action research, Journal of Science Teacher Education, vol. 21: 953-970.

Lit CK, Siu MK and Wong NY, 2001, The use of history in the teaching of mathematics: Theory, practice, and evaluation of effectiveness, Educational Journal, vol. 29(1): 17- 31.

Malloy CE, 2003, The New Math, Principal Leadership (Middle School Education), vol. 3: 48-53.

Marshall G, 2000, Using history of mathematics to improve secondary students’ attitudes towards mathematics. Unpublished doctoral dissertation, Illinois State University, Bloomington−Normal, IL, USA.

Marshall J and Horton R, 2011, The relationship of teacher-facilitated inquiry – based instruction to student higher order thinking. School Science and Mathematics, vol. 111 (3): 93-101.

Northcutt C and Schwartz R, 2013, Pre-service teachers’ understanding and perceptions of scientific inquiry and self-efficacy in a research internship. Paper presented at the international conference of the National Association for Research in Science Teaching, Rio Grande, Puerto Rico.

Panaoura R, 2016, The history of mathematics during an inquiry-based teaching approach, MENON, Journal of Educational Research, vol. 2: 130-145.

Rasmussen C and Kwon O, 2007, An inquiry oriented approach to undergraduate mathematics, Journal of Mathematical Behavior, vol. 26: 189–194.

Ropohl M, Ronnebeck S, Bernholt S and Koller O, 2013, A definition of inquiry – based STM education and tools for measuring the degree of IBE. Report from the FP7 project: Assess Inquiry in Science, Technology and Mathematics Education.

Siu MK, 1997, The ABCD of using history of mathematics in the (undergraduate) classroom, Bulletin of the Hong Kong Mathematical Society, vol. 1(1): 143–154.

Song Y and Looi C, 2011, Linking teacher beliefs, practices and student inquiry based learning in a CSCL environment: A tale of two teachers, Computer Supported Collaborative Learning, vol. 7: 129-159.

Soprano K and Yang L, 2013, Inquiring into my science teaching through action research: a case study on one pre-service teacher’s inquiry based science teaching and self-efficacy. International Journal of Science and Mathematics Education, vol. 11: 1351-1368.

Taylor J and Bilbrey J, 2011, Teacher perceptions of inquiry – based instruction vs teacher-based instruction, International Review of Social Sciences and Humanities, vol. 2 (1): 152-162.

Tuan H, Chin C, Tsai C and Cheng S, 2005, Investigating the effectiveness of inquiry instruction on the motivation of different learning styles students, International Journal of Science and Mathematics Education, vol. 3: 541-566.

Tunks J and Weller K, 2009, Changing practice, changing minds from arithmetical to algebraic thinking. An application of the concerns-based adoption model, Educational Studies in Mathematics, vol. 72(2): 161-183.

Yee L and Chapman E, 2010, Using history to enhance student learning and attitudes in singapore mathematics classrooms, Education Research and perspectives, vol. 37 (2): 110-132.

Van den Berg R and Ros A, 1999, The permanent importance of the subjective reality of teachers during educational innovation: A concerns-based approach, American Educational Research Journal, vol. 36 (4): 879-906.

Wang J and Lin E, 2008, An alternative interpretation of the relationship between self-concept and mathematics achievement: Comparison of Chinese and U.S. students as a context. Evaluation and Research in Education, vol. 21(3): 154-174.

Wang F, Kinzie M, McGuire P and Pan E, 2010, Applying Technology to Inquiry-based learning in early childhood education, Early Childhood Education Journal, vol.37: 381-389.




DOI: http://dx.doi.org/10.18686/ahe.v2i2.1132

Refbacks