Abstract
In this paper, we describe a methodological approach that can be used to analyze large sets of qualitative data such as classroom videorecordings and transcripts. The method emerged while conducting longitudinal case studies of four pairs of students' small group activity. In the first phase of the analysis, the data are dealt with on an episode- by-episode-basis in chronological order. Sample episodes are given to illustrate how inferences made while analyzing one episode are viewed as initial conjectures that can be revised when analyzing subsequent episodes. In later phases of the analysis, these conjectures become data that are (meta-)analyzed to create chronologies that are structured by general assertions and yet are grounded in the particulars of students' mathematical activity. In the course of the discussion, we clarify the role of domain-specific psychological models and the influence of assumptions about the relation between psychological and social processes. We conclude by considering both the generality and the trustworthiness of the approach.
Similar content being viewed by others
References
AtkinsonP., DelamontS., and HammersleyM.: 1988, ‘Qualitative research traditions: A British response to Jacob’, Review of Educational Research 58, 231–250.
BarnesD., and ToddF.: 1977, ‘Communicating and Learning in Small Groups’, Routledge & Kegan Paul, London.
BauersfeldH.: 1992, ‘A professional self-portrait’, Journal for Research in Mathematics Education 23, 483–494.
CobbP.: 1995, ‘Mathematical learning and small group interaction: Four case studies’, in P.Cobb & H.Bauersfeld (eds.), ‘The Emergence of Mathematical Meaning: Interaction in Classroom Cultures’, Lawrence Erlbaum Associates, Hillsdale, NJ, pp. 25–130.
CobbP., WoodT., and YackelE.: 1992, ‘Learning and interaction in classroom situations’, Educational Studies in Mathematics 23, 99–122.
DavidsonN.: 1985, ‘Small-group learning and teaching in mathematics: A selective review of the research’, in R.Slavin, S.Sharan, S.Kagan, R.Hertz-Lazarowitz, C.Webb, and R.Schmuck (eds.), ‘Learning to Cooperate Cooperating to Learn’, Plenum Press, New York, pp. 211–230.
EdwardsD., and MercerN.: 1987, ‘Common Knowledge: The Development of Understanding in the Classroom’, Methuen, New York.
EricksonF.: 1986, ‘Qualitative methods in research on teaching’ in M. C.Wittrock (ed.), ‘The Handbook of Research on Teaching’, Macmillan, New York, 3rd. ed., pp. 119–161.
FormanE. A., and CazdenC. B.: 1985, ‘Exploring Vygotskian perspectives in education: The cognitive value of peer interaction’, in J. V.Wertsch (ed.), ‘Culture, Communication, and Cognition’, Cambridge University Press, Cambridge, MA, pp. 323–347.
FormanE. A., and McPhailJ.: 1993, ‘A Vygotskian perspective on children's collaborative problem-solving activities’, in E. A.Forman, N.Minick, and C. A.Stone (eds.), ‘Education and Mind: The Interaction of Institutional Social and Developmental Processes’, Oxford University Press, New York, pp. 213–229.
GaleJ., and NewfieldN.: 1992, ‘A conversation analysis of a solution-focused marital therapy session’, Journal of Marital and Family Therapy 18, 153–165.
GlaserB. G., and StraussA. L.: 1967, ‘The Discovery of Grounded Theory: Strategies for Qualitative Research’, Aldine, New York.
GoodT. L., MulryanC., and McCaslinM.: 1992, ‘Grouping for instruction in mathematics: A call for programmatic research on small-group process’, in D. A.Grouws (ed.), ‘Handbook of Research on Mathematics Teaching and Learning’, Macmillan, New York, pp. 165–196.
KrummheuerG.: 1995, ‘The ethnography of argumentation’, in P.Cobb and H.Bauersfeld (eds.), ‘The Emergence of Mathematical Meaning: Interaction in Classroom Cultures’, Lawrence Erlbaum Associates, Hillsdale, NJ, pp. 229–270.
LincolnY. S., and GubaE. G.: 1985, ‘Naturalistic Inquiry’, Sage Publications, Inc., Newbury Park, CA.
National Council of Teachers of Mathematics: 1989, ‘Curriculum and Evaluation Standards for School Mathematics’, NCTM, Reston, VA.
NeumanD.: 1987, ‘The Origin of Arithmetic Skills: A Phenomenographic Approach’ (Goteborg Studies in Educational Sciences 62), Acta Universitatis Gothoburgensis, Goteborg, Sweden.
NoddingsN.: 1985, ‘Small groups as a setting for research on mathematical problem solving’, in E. A.Silver (ed.), ‘Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives’, Lawrence Erlbaum Associates, Hillsdale, NJ, pp. 345–359.
Schroeder, T., Gooya, Z., and Lin, G.: 1993, ‘Mathematical problem solving in cooperative small groups: How to ensure that two heads will be better than one?’, in I. Hirabayashi, N. Nohda, K. Shigematsu, and F-L. Lin (eds.), Proceedings of the Seventeenth Conference of the International Group for the Psychology of Mathematics Education, Program Committee of 17th PME Conference, Tsukuba, Japan, pp. 65–72.
Shimizu, Y.: 1993, The development of collaborative dialogue in paired mathematical investigation, in I. Hirabayashi, N. Nohda, K. Shigematsu, and F-L. Lin (eds.), Proceedings of the Seventeenth Conference of the International Group for the Psychology of Mathematics Education, Program Committee of 17th PME Conference, Tsukuba, Japan, pp. 73–80.
Smith, E., and Confrey, J.: 1991, ‘Understanding Collaborative Learning: Small-group Work on Contextual Problems Using a Multi-representational Software Tool’, paper presented at the annual meeting of the American Educational Research Association, Chicago.
SteffeL. P., and CobbP.: 1988, ‘Construction of Arithmetical Meanings and Strategies’, Spring-Verlag, New York.
TaylorS. J., and BoydanR.: 1984, ‘Introduction to Qualitative Research Methods’, John Wiley & Sons, New York, 2nd ed.
VoigtJ.: 1985, ‘Patterns and routines in classroom interaction’, Recherches en Didactique des Mathématiques 6(1), 69–118.
WebbN. M.: 1982, ‘Student interaction and learning in small groups’, Review of Education Research 52, 421–445.
WoodT.: 1995, ‘An emerging practice of teaching’, in P.Cobb and H.Bauersfeld (eds.), ‘The Emergence of Mathematical Meaning: Interaction in Classroom Cultures’, Lawrence Erlbaum, Hillsdale, NJ, pp. 203–228.
YackelE., CobbP., and WoodT.: 1991, ‘Small group interactions as a source of learning opportunities in second grade mathematics’, Journal for Research in Mathematics Education 22(5), 390–408.
Author information
Authors and Affiliations
Additional information
The research reported in this paper was supported by the Spencer Foundation and by the National Science Foundation under grant No. RED-9353587. The opinions expressed do not necessarily reflect the views of the Foundations.
Rights and permissions
About this article
Cite this article
Cobb, P., Whitenack, J.W. A method for conducting longitudinal analyses of classroom videorecordings and transcripts. Educ Stud Math 30, 213–228 (1996). https://doi.org/10.1007/BF00304566
Issue Date:
DOI: https://doi.org/10.1007/BF00304566