Activities in Mathematics Class: Contrasting Students’ and Teacher’s Perceptions
Author(s):
Jelena Radišić (presenting / submitting) Aleksandar Baucal (presenting) Marina Videnović
Conference:
ECER 2013
Format:
Paper

Session Information

20 SES 12 JS A, Mathematics Activities

Paper Session
Joint Session with NW 24

Time:
2013-09-13
09:00-10:30
Room:
D-405
Chair:

Contribution

Over the last decade particular emphasis has been put on the fact that in the classroom teacher is the one making the difference (OECD, 2005). However Hattie (2009) believes that specific actions of specific teachers are what really make that difference, thus producing effect to students’ learning outcomes. In the domain of mathematics large number of studies describes particular aspects of teacher practice related to effective learning within the classroom setting (Brophy & Good, 1986; Hattie, 2009; OECD, 2010a; Wang et al., 1993). Although research shows there is no one right approach to teaching seems that adequate follow up of the students, actions adjusted to suit different students’ needs, adequate classroom managements and quality of teaching are features commonly associated with positive outcomes of students’ learning.

Teaching and learning strategies are complex processes, continuously interacting one with the other. In order to deeply understand existing interplay among them it is necessary to gather data that fit each context at the time (OECD, 2010b). Large scale cross-cultural studies within the domain give somewhat contrasting picture of typical mathematics classroom. One of major challenges that large scale studies of this kind are confronted with is variety of activities and participation patterns in classrooms around the world, with different meanings prescribed to each. Although results of TIMSS video studies 1995 and 1999 (Stigler et al., 1999; Hiebert et al., 2003) speak in favour of country specific teaching patterns, study of Clark and associates point to (Clark et al., 2006; Clarke et al. 2006a) significant variations within countries and even teachers themselves. Analysis of mathematics teaching in Serbia suggests frontal delivery of knowledge dominates classrooms, although variations between the teachers are evident (Radisic & Baucal, 2012).

In this study we focus on practices of one mathematics teacher and how mathematical content on the same topic is delivered to two different classes by the same teacher. In particularly we wish to explore to what extent one teacher exhibits variations in the way mathematical content is presented to the students and whether she adjusts activities and specific routines to students’ pace of learning. At the same time we contrast the teacher’s perception of delivered activities with the perception of students.

Method

Study employs a sequential explanatory mixed methods research design. Qualitative phase included videotaping of six consecutive lessons in two classes; twelve in total. Lessons were videotaped with two cameras; one focusing on students and the other on the teacher. Both classes were held by the same teacher, teaching identical mathematical content to both groups of students. Additionally interviews with the teacher and four students in each class were made concerning their perception of class atmosphere and conducted activities. Quantitative phase included gathering data on students’ achievement (subject grade and test grade), and students filling in a questionnaire concerning their practices related to mathematics, math self-concept, math self-efficacy, math anxiety and math related activities at home and at school. Furthermore teacher filled in a questionnaire related to her own beliefs about teaching and learning and perception of own efficacy.

Expected Outcomes

Initial analyses suggest frontal delivery of knowledge typifies practice of this particular teacher, with very little variations when delivering the subject matter to two different groups of students. After almost identical teacher demonstration activities, practicing on the same group of math problems was exhibited throughout the lessons. However when in teacher’s perception one class exhibited slower advancement in mastering the content the teacher decided to introduce one more lesson focused on practicing math problems. Same additional lesson was introduced with the other group of students, although pace of their advancement was not as slow as the former. Teacher’s and students’ perceptions were contrasted in respect to activities presented in class, perceptions of self-efficacy related to mathematics and overall learning environment, showing somewhat contrasting philosophies on the matter. Results will be additionally commented from the perspective of extent particular teacher moves facilitate or not students’ innovative and critical potential in class.

References

Brophy, J.E. & T.L. Good (1986). Teacher Behaviour and Pupil Achievement, in M.C. Wittrock (ed.), Handbook of Research on Teaching, New York: MacMillan, , pp. 328-375. Clarke, D., Emanuelsson, J., Jablonka, E. & Che Mook, I.A. (2006). The Learner’s Perspective Study and International Comparisons of Classroom Practice In D. Clarke, J. Emannuelsson, E. Jablonka & I.A.Che Mook (Eds.), Making Conections: Comparing Mathematics Classrooms Around the World (1-22). Rotterdam, Taipei: SensePublishers Clarke, D. J., Keitel, C., & Shimizu, Y. (2006a). Mathematics classrooms in twelve countries: The insider’s perspective. Rotterdam: Sense Publications. Creswell, J. (2008). Research Design: Qualitative, Quantitative, and Mixed Method Approaches. 3rd Edition, Thousand Oaks, CA: Sage. Hattie, J. A. C. (2009). Visible Learning: A synthesis of over 800 meta-analyses relating to achievement. London: Routledge Hiebert, J., Gallimore, R., Garnier, H., Givvin, K., Hollingsworth, H., Jacobs, J., et al. (2003). Teaching mathematics in seven countries: Results from the TIMSS 1999 Video Study. NCES 2003–013.Washington, DC: National Center for Education Statistics. OECD. (2005). Teachers matter Attracting, Developing and Retaining Effective Teachers, Paris: OECD. OECD (2010a) PISA 2009 Results: What Makes a School Successful? – Volume IV, Paris: OECD. OECD. (2010b). Mathematics Teaching and Learning Strategies in PISA, Paris: OECD. Radišić, J. & Baucal, A. (2012). Understanding practice of mathematics and language teachers from their own perspective, paper presented at the 25th International Congress for School Effectiveness and Improvement, Malmo5th-8th January 2012. http://www.icsei.net/fileadmin/ICSEI/icsei_2012/papers/1791918_ABS.pdf Stigler, J.W., Gonzales, P., Kawanaka, T., Knoll, S.,&Serrano, A. (1999). The TIMSS Videotape Classroom Study: Methods and findings from an exploratory research project on eighth-grade mathematics instruction in Germany, Japan, and the United States. Washington, DC: National Center for Educational Statistics. Wang, M.C.; G.D. Haertel & H.J. Walberg (1993). Toward a Knowledge Base for School Learning, Review of Educational Research, 63 (3), 249 -294.

Author Information

Jelena Radišić (presenting / submitting)
Institute for Educational Research, Belgrade, Serbia
Aleksandar Baucal (presenting)
Department of Psychology, University of Belgrade
Institute of Psychology, University of Belgrade

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