An Investigation on Prospective Secondary Mathematics Teachers’ Perceptions on and Adaptation of Constructivist Approach
Author(s):
Aslihan Osmanoglu (presenting / submitting) Emrah Oguzhan Dincer (presenting)
Conference:
ECER 2015
Format:
Paper

Session Information

ERG SES G 01, Mathematics and Education

Paper Session

Time:
2015-09-08
09:00-10:30
Room:
397. [Main]
Chair:
Fiona Hallett

Contribution

Teachers are the key factors in raising successful students. What is meant by being successful refers to that students are expected to be responsible of their own learning and actively construct their own knowledge (Wheatley, 1991) as constructivism suggests. Whether it is cognitive (Piaget), radical (Von Glasersfeld), or socio-cultural (Vygotsky) constructivism, in constructivist learning environments, the responsibility of the teachers becomes being a guide and facilitator while the responsibility of the students is to be investigator and constructor of knowledge. Beswick (2007) explains this as “Learning is thus an active and purposeful process whereby individuals adapt their constructions in order to optimize their fit with experience” (p. 97). While the traditional instructional programs mainly see mathematics as facts or rules that are needed to be prescribed to students, and focus on teaching procedural knowledge (Ball, Lubienski, & Mewborn, 2001; McTighe, Seif, & Wiggins, 2004; Talim Terbiye Kurulu Baskanligi [TTKB], 2006), programs based on constructivist approach target meaningful and long-term learning through paying attention to the cognitive levels of students (TTKB, 2006). They provide opportunities for investigation, questioning, inquiry, discovery, active participation, and group work. Von Glasersfeld (1990) underlines that learning happens through constructing new knowledge on prior knowledge. The constructivist curriculum requires teachers to provide teaching where they create learning environments to let students construct mathematical concepts. Making the students the center of learning environment, teachers are expected to provide space for students to discover mathematical concepts and abilities. In order to be able to solve problems, connect concepts, communicate through mathematics, and using multiple representations to understand mathematics; the students need environments where they do mathematics (National Council of Teachers of Mathematics [NCTM], 1989, 2000).

To be able to create constructivist learning environments, teachers should appropriately adapt the curriculum into their teaching. Adaptation process differs on the teachers who see mathematics as changeable and believe that students can learn mathematics through constructing meaning for it (e.g., Remillard, 1999). Some research in the literature points that teaching is a multi-dimensional activity and it requires deep analyses to understand the level of curriculum adaptation by teachers (Drake & Sherin, 2006; Orrill & Anthony, 2003; Remillard, 1999).

Teachers may not effectively evaluate how productively they adapt constructivist approach on their teaching no matter how positive their perception towards constructivism is (Savasci & Berlin, 2012). Frykholm’s (1999) study on the secondary mathematics student-teachers reveals that the pre-service teachers in that study could not apply their vision of reform into their own teaching practices. While some of the student teachers were willing to and confident in implementing reform in the classrooms, some had questions in their minds because of some limiting factors. This shows that being willing to implement reform may not be enough in putting it into the practice.

The aim of the present study was to investigate prospective secondary mathematics teachers’ perceptions on and adaptation of constructivist curriculum into their teaching. It explored the following research questions:

  1. What are perceptions of the prospective secondary mathematics teachers towards constructivist learning?

  2. To what extent the prospective secondary mathematics teachers adapt the constructivist mathematics curriculum into their teaching?

  3. What is the relationship between the perceptions of teachers and their adaptation level of the curriculum?

Method

This study was conducted with prospective secondary mathematics teachers in 2014-2015 fall academic year in a university in western Turkey. The prospective teachers were the graduates from mathematics departments from different universities’ Science and Literature faculties, and they were educated to teach 9-12th grade students in secondary schools during their pedagogical formation courses at the Education Faculty. The participants were taking Teaching Methods course from one of the researchers during the study. The participants were also taking School Experience course where they were practicing teaching in secondary schools. During the Teaching Methods course, at the beginning of the semester, the prospective teachers received theoretical knowledge on constructivist learning, after that, they were divided into groups of two and were given their mathematics topics to conduct micro-teaching in the classroom. There were 35 groups in total, and the assigned mathematics topics were selected among three learning domains (numbers and algebra, geometry, and data and probability). In each lesson, 4-5 groups undertook their micro teaching, and after each teaching experience, class discussions were held. Each micro teaching experience and related class discussion were video-taped with the permission of the participants. To evaluate the perceptions of the prospective teachers towards constructivist learning approach, the Constructivist Learning Environment Survey (CLES) was administered at the beginning and at the end of the semester. The survey was consisted of 30 items on a 5 point Likert scale ranging from “not at all” to “very much”. The scale was translated into Turkish by Fer and Cirik (2006). The Cronbach alpha value was found .91, and the internal consistency among the seven factors in the scale ranged from .89 to .94. In the qualitative part of the study, after they completed their micro-teaching, participants were asked to answer 13 reflection questions prepared by the researchers. The questions were related to the main points of constructivist learning. They were asked to reflect on teacher and students responsibilities during a lesson, how they would make their lessons meaningful for the students, how they would make the students active during the class, how an effective teaching and learning environment should be, how they maintain their class to be constructivist etc. For the analysis of the quantitative data, SPSS 17 was used. For the qualitative data, content analysis technique was employed (Neuendorf, 2002). Selected videos of the class discussions were also analyzed for triangulation purposes.

Expected Outcomes

The findings of this study are expected to shed light on how prospective secondary mathematics teachers graduated from Science and Literature departments perceive constructivist learning approach before and after instruction, and how they adapt it into their teaching. It is expected to understand whether there was any improvement on their scores on CLES, and investigate their perceptions deeply through the reflection papers. Analyzing selected videos of the prospective teachers’ teaching as well as the class discussions are also expected to validate their intentions through constructivist learning and to understand their adaptation levels. Since these prospective teachers are expected to give constructivist instruction when they start their profession, it is important to analyze how effective the Teaching Method courses they receive during their pedagogical formation courses. To conclude, in this study, it is hoped to understand prospective teachers’ perceptions towards constructivist learning and how they adapt it into their teaching so that suggestions for the improvements with respect to teacher education programs are provided for teacher educators.

References

Ball, D. L., Lubienski, S. T., & Mewborn, D. S. (2001). Research on teaching mathematics: the unsolved problem of teachers’ mathematical knowledge. In V. Richardson (Ed.), Handbook of Research on Teaching (4th ed.). Washington, DC: American Educational Research Association. Beswick, K. (2007). Teachers' beliefs that matter in secondary mathematics classrooms. Educational Studies in Mathematics, 65(1), 95-120. Drake, C., & Sherin, M. G. (2006). Practicing change: Curriculum adaptation and teacher narrative in the context of mathematics education reform. Curriculum Inquiry 36(2), 153-187. Fer, S. & Cırık, I. (2006). Öğretmenlerde ve öğrencilerde yapılandırmacı öğrenme ortamı ölçeğinin geçerlik ve güvenirlik çalışması nedir? Retrieved January 29, 2015, from http://sevalfer.com/files/Yapılandırmacı_Olcegi.pdf Frykholm, J. A. (1999). The impact of reform: Challenges for mathematics teacher preparation. Journal of Mathematics Teacher Education, 2, 79-105. Marsh, C. J., & Willis, G. (2003). Curriculum: Alternative approaches, ongoing issues (3rd ed.). Pearson Education. McTighe, J., Seif, E., & Wiggins, G. (2004). You can teach for meaning. Educational Leadership, 62(1), 265. National Council of Teachers of Mathematics. (1989, 2000). Curriculum and evaluation standards for school mathematics. Reston, VA: Author. Neuendorf, K. A. (2002). The content analysis guidebook. Thousand Oaks, CA: Sage Publications. Orrill, C. H., & Anthony, H. G. (2003). Implementing reform curriculum: A case of who’s in charge. Paper presented at the American Educational Research Association’s Annual Meeting. April, 2003. Remillard, J. T. (1999). Curriculum materials in mathematics education reform: a framework for examining teachers’ curriculum development. Curriculum Inquiry, 29(3), 315-342. Savasci, F. & Berlin, D. F. (2012). Science teacher beliefs and classroom practice related to constructivism in different school settings. Journal of Science Teacher Education, 23(1), 65-86. Tenenbaum, G., Naidu, S., Jegede, O., ve Austin, J. (2001). Constructivist pedagogy in conventional on-campus and distance learning practice: An exploratory investigation. Learning and Instruction, 11, 87-111. Talim Terbiye Kurulu (TTKB) (2006). MEB müfredat geliştirme süreci. Retrieved January, 29, 2015, from http://ttkb.meb.gov.tr/www/ogretim-programlari/icerik/72 Von Glasersfeld, E. (1990). An exposition of constructivism: Why some like it radical. In R.B. Davis, C.A. Maher and N. Noddings, (eds.), Constructivist views on the teaching and learning of mathematics, National Council of Teachers of Mathematics, Reston, VA, pp. 19–29. Wheatley, G. H. (1991). Constructivist perspectives on science and mathematics learning. Science Education 75(1), 9-21.

Author Information

Aslihan Osmanoglu (presenting / submitting)
Trakya University
Faculty of Education
edirne
Emrah Oguzhan Dincer (presenting)
Trakya University
edirne

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