Abstract
This study describes and contrasts theoretically and empirically problem solving of situated problems in school and the real world at the macro level as a social-cultural activity system and analyzes the process of solving situated problems by high school students at the micro level as an activity. Three potentially experiential problem tasks were given to 31 last year high School science students. Action map, a concept derived from activity theory, was used to represent the solutions. Qualitative methods were used to analyze the data obtained from the written solutions as well as interviews with the participants. Leont'ev's activity theory and Engeström's activity system were used as frameworks to analyze and interpret the data. The results indicate that there are fundamental identifiable differences among the activities and the activity systems of problem solving in the real world, situated, and school contexts.
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References
Carraher, T.N., Carraher, D.W. and Schliemann, D.S.: 1985, ‘Mathematics in streets and schools,’ British Journal of Developmental Psychology 3, 21–30.
Engeström, Y.: 1987, Learning by expanding: An Activity Theoretical Approach to Developmental Research, Orienta-Konsultit Oy, Helsinki.
Freudenthal, H.: 1983, Didactical Phenomenology of Mathematical Structures, Reidel, Dordrecht, The Netherlands.
Jurdak, M. and Shahin, I.: 1999, ‘An ethnographic study of the computational strategies of a group of young street vendors in Beirut,’ Educational Studies in Mathematics Education 40, 155–172.
Jurdak, M. and Shahin, I.: 2001, ‘Problem solving activity in the workplace and the school: The case of constructing solids,’ Educational Studies in Mathematics 47, 297–315.
Lange, J. de: 1996, ‘Using and applying mathematics in education,’ in Bishop et al. (ed.), International Handbook of Mathematics Education, Kluwer Academic Publishers, The Netherlands, pp. 49–97.
Lave, J.: 1988, Cognition in Practice, Cambridge University, New York.
Leont'ev, A.N.: 1981, ‘The problem of activity in psychology,’ in Wertsch (ed.), The Concept of Activity in Soviet Psychology, M.E. Sharpe, Armonk, NY, pp. 37–71.
Masingila, J.O.: 1996, ‘Mathematics practice in carpet laying: A closer look at problem solving in context,’ ERIC Document Reproduction Service No. ED398 068.
Millroy, W.L.: 1992, ‘An ethnographic study of the mathematical ideas of a group of carpenters,’ Journal for Research on Math Education Monographs 5, 0883–9530.
Nunes, T., Schliemann, A.D. and Carraher, D.W.: 1993, Street Mathematics and School Mathematics, Cambridge University Press, New York.
Pozzi, S., Noss, R. and Hoyles, C.: 1998, ‘Tools in practice, mathematics in use,’ Educational Studies in Mathematics 36, 105–122.
Reed, H.J. and Lave, J.: 1981, ‘Arithmetic as a tool for investigating between culture and cognition,’ in R. Casson (ed.), Language, Culture and Cognition: Anthropological Perspectives, Macmillan, New York, pp. 437–455.
Saxe, G.B.: 1991, Culture and Cognitive Development, Erlbaum, Hillsdale, New Jersey.
Scribner, S.: 1986, ‘Thinking in action: Some characteristics of practical thought,’ in R. Sternberg and R.Wagner (eds.), Practical Intelligence Nature and Origins of Competence in the Everyday World, Cambridge University Press, New York, pp. 13–30.
Vygotsky, L.S.: 1978, Mind in Society, Harvard University Press, MA.
Zinchenko, V.P. and Gordon, V.M.: 1981, ‘Methodological problems in analyzing activity,’ in Wertsch (ed.), The Concept of Activity in Soviet Psychology, M.E. Sharpe, Armonk, NY, pp. 72–133.
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Jurdak, M.E. Contrasting Perspectives and Performance of High School Students on Problem Solving in Real World, Situated, and School Contexts. Educ Stud Math 63, 283–301 (2006). https://doi.org/10.1007/s10649-005-9008-y
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DOI: https://doi.org/10.1007/s10649-005-9008-y