Responsive Teaching in Mathematics- A Research Design
Author(s):
Kari Smith (presenting / submitting) Knut Steinar Engelsen (presenting) Frode Olav Haara Siv Gamlem
Conference:
ECER 2015
Format:
Paper

Session Information

24 SES 01, Welcoming session for NW24 Mathematics Education Research: Investigating around the World

Paper Session

Time:
2015-09-08
13:15-14:45
Room:
659.Oktatóterem [C]
Chair:
Javier Diez-Palomar

Contribution

The main goal of this paper is to present the design of a large research project which examines in depth the relationship between teachers’ responsive teaching, defined as feedback practice, and students’ learning outcome in Mathematics, defined as achievements, self-regulation skills and self-efficacy.

The study draws on both socio-cultural and cognitive perspectives on learning by including concepts from the socio-cognitive theory tradition which we consider useful when investigating such complex phenomena as learning and learning outcome, where individual and social aspects are closely interwoven. A key premise in socio-cultural theory is that learning and assessment practices are embedded in the contexts in which they take place.

Formative feedback is a means to scaffold students’ learning sensitively so that they are supported in making meaning and understanding for themselves based on ‘where they are’ and ‘where to go’ to reach future goals (Hattie & Timperley, 2007). Vygotsky (1986)  states that language is fundamental to the process of learning and stresses the complex interplay of thought and language in shaping meaning, which suggests that classroom talk and feedback affects learning. Central to Vygotsky’s theory of learning is the idea that conceptual knowledge first appears between people on an inter-psychological plane, and then inside the learner on an intra-psychological plane (Vygotsky, 1978). The notion that the teacher assists student performance in the zone of proximal development suggests that teachers guide the discourse on the inter-psychological level to support student learning. This recognizes the importance of teacher-student discourse in the classroom as a form of scaffolding (Bruner, 1986).

The project is situated within Bandura’s (1997) theory of self-efficacy which implies that, in order to learn, students have to be able to trust that their own competence will enable them to succeed. Self-efficacy is related to learning since it is a strong predictor of students’ motivation for learning.

Timperley et al’s. model (2009) lays the theoretical foundation for the view on teacher learning taken in this project: the starting point for teacher learning is the students’ needs, and then what teachers need to learn in order to help students learn. The next step is to support teachers in developing the understanding of the desired competence, in our case, math teachers’ pedagogical feedback practices, in order to support teachers in translating understanding into practice, and to observe the impact of the changed practice on student learning.

The overall research question is: What is the relation between responsive teaching (feedback practice) and student learning (achievements, self-efficacy and self-regulation)?

The 1st sub-question is: What are the differences between teachers’ and students’ perceptions of feedback practices?

The 2nd sub-question is: What is the effect of the intervention (working with teachers on feedback practices over a period of 7 months)?

a) In terms of closing the gap between teachers’ and students’ perceptions of feedback?

b) In terms of improving learning? 

Method

The project has a quasi-experimental design. Different methodological approaches will be used. The overall research question and sub-questions 1 and 2 require a quantitative approach for which we will use recognized instruments (a questionnaire measuring students’ perceptions of teachers’ assessment practices developed for the Norwegian context (Havnes et al., 2011); self-efficacy and self-regulation scales of the 2003 version of the Cross Curricular Competencies questionnaire validated for Mathematics in the Norwegian context through the PISA project (Lie, Kjærnsli, Roe, & Turmo, 2001). To examine in depth what happens during the intervention within the experimental group, a qualitative approach is required. Thus the methodological approach chosen for the current study is a mixed methods approach . Johnson and Onwuegbuzie (2004) claim that the quality of the research is often improved by using insight and methods from both qualitative and quantitative methodologies, provided that the methods are combined in ways that give the researcher in sum a better tool for answering the research question. Sample 10 schools in the Western part of Norway with 4 math teachers each (students = 1000, Teachers =40) participate in the study. A similar population forms the control group, located in the eastern part of Norway to avoid communication between the schools during the intervention period. The intervention phase will last for 7 months and includes meetings of all 40 teachers in the experimental group. The meetings with all teachers will have 2 main foci: 1) Presenting research-based information about assessment and the relation between feedback and learning. 2) Discussing the 9th grade curriculum in Mathematics in order to reach an agreement regarding the four main themes to be taught; discussing teaching approaches including feedback practice; and developing assessment instruments for the base-line and post-tests and for each theme during the intervention. 3) Systematic use of dialogic video inquiry connected to videotaped lessons in order to develop the teachers’ individual and collective reflections as regards responsive teaching. During the intervention, data will be collected three times. The data will elicit teachers’ and students’ perceptions of feedback practices in order to answer the sub-questions (1 and 2.a). In the post-intervention phase, the same instruments as in the base-line phase will be used to collect data from both the experimental and the control group in relation to sub-question 2.b.

Expected Outcomes

As the three year project is at the very beginning, the purpose of this paper is to present the project and the research design. At this point in time we are unable to present any findings. What we can do, however, is to present the hypothesis for the various research questions based on an extensive literature review. The overall hypothesis is that there is a positive relationship between teachers’ feedback practice and student learning defined as increased self-efficacy, improved self-regulation skills and achievements in mathematics. The hypothesis to sub-question1 which examines the differences between teachers’ and students’ perceptions of feedback practices is that prior to the intervention there are significant differences in the perceptions of feedback practices which affect the learning dialogue and student learning negatively. The hypothesis to sub-question 2 looking into the effect of the intervention is that the differences in teachers’ and students’ perceptions of feedback are smaller in the experimental group than in the control group after 7 months, which indicates better communication between teacher and students, and that the learning outcome (achievements, self-efficacy and self-regulation) is higher in the experimental group than in the control group after 7 months. The significance of the project lies in establishing a relationship between teachers’ feedback practices and learning outcome. A great deal of international research has explored the relationship between assessment and learning outcomes as measured by tests. We acknowledge the importance of studying the impact of assessment on students’ achievements, but we assume there is more to learning than content. Students’ belief in their own learning capacity and their skills in regulating learning are crucial to developing life-long independent learners. This is a major challenge for today’s schools, and our aim is to develop new understandings of the relationship between teachers’ responsive teaching and student learning.

References

Bandura, A. (1997). Self-efficacy: The exercise of control. New York: Freeman. Bruner, J. (1986). Actual minds, possible worlds. Cambridge, MA: Harvard University Press. Hattie, J., & Timperley, H. (2007). The Power of Feedback. Review of Educational Research, 77(1), 81–112. Havnes, A., Smith, K., Dysthe, O., & Ludvigsen, K. (2011). Assessment and feedback: Making learning visible. Paper presented at SIG 1, Assessment and Evaluation Invited Symposium, EARLI biannual Conference, University of Exeter, September, 30.08-3.09, 2011. Johnson, R. B., & Onwuegbuzie, A. J. (2004). Mixed methods research: A research paradigm whose time has come. Educational Researcher, 33(7), 14-26. Lie, S., Kjærnsli, M., Roe, A., & Turmo, A. (2001). Godt rustet for framtida? Norske 15-åringers kompetanse i lesing og realfag i et internasjonalt perspektiv. [Properly equiped for the future? An international perspective on the competence in reading and science for 15-years old Norwegian students.] Acta Didactica, 4. Vygotsky, L. S. (1978). Mind in Society (A. Kozulin, Trans.). Cambridge, MA and London: Harvard University Press. Vygotsky, L. S. (1986). Thought and language (A. Kozulin, Trans.). Cambridge, MA: MIT Press.

Author Information

Kari Smith (presenting / submitting)
University of Bergen
Education Department
Bergen
Knut Steinar Engelsen (presenting)
Stord Haugesund University College
University College of Sogn og Fjordane
Faculty of teacher education and sports
Sogndal
Volda University College
N-Volda

Update Modus of this Database

The current conference programme can be browsed in the conference management system (conftool) and, closer to the conference, in the conference app.
This database will be updated with the conference data after ECER. 

Search the ECER Programme

  • Search for keywords and phrases in "Text Search"
  • Restrict in which part of the abstracts to search in "Where to search"
  • Search for authors and in the respective field.
  • For planning your conference attendance, please use the conference app, which will be issued some weeks before the conference and the conference agenda provided in conftool.
  • If you are a session chair, best look up your chairing duties in the conference system (Conftool) or the app.