# Process Regulation in the Problem-Solving Processes of Fifth Graders

### Abstract

It is well known that the regulation of processes is an important factor in problem solving from Grade 7 to university level (cf. Mevarech & Kramarski, 1997; Schoenfeld, 1985). We do not, however, know much about the problem-solving competencies of younger children (cf. Heinze, 2007, p. 15). Do the results of studies also hold true for students below Grade 7? The study presented here strongly suggests that metacognition and process regulation is important in Grade 5 as well.

The research questions are: How do the (more or less successful) problem-solving processes of fifth graders occur? What is the impact of metacognition and selfregulation on these processes? Are the transitions between phases in the problemsolving process closely connected to metacognitive activities?

An analysis of approximately 100 problem-solving processes of fifth graders (aged 10–12) from German secondary schools will be used to help answer these questions. The videotapes that supplied the raw data were parsed into phases called episodes using an adapted version of the “protocol analysis framework” by Schoenfeld (1985, ch. 9). The junctures between these episodes were additionally coded with the “system for categorizing metacognitive activities” by Cohors-Fresenborg and Kaune (2007a). There is a strong correlation between

(missing) process regulation and success (or failure) in the problem-solving attempts. Concluding suggestions are given for the implementation of the results in school teaching. These suggestions are currently being tested.

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### References

Brockmann-Behnsen, D. (2012b). A long-term educational treatment using dynamic geometry software. In M. Joubert, A. Clarck-Wilson, & M. McCabe, Proceedings of the 10th International

Conference for Technology in Mathematics Teaching (ICTMT10) (pp. 196–302).

Cohors-Fresenborg, E., & Kaune, C. (2007a). Kategoriensystem für metakognitive Aktivitäten beim schrittweise kontrollierten Argumentieren im Mathematikunterricht. Arbeitsbericht Nr. 44,

Forschungsinstitut für Mathematikdidaktik, Universität Osnabrück.

Cohors-Fresenborg, E., & Kaune, C. (2007b). Modelling Classroom Discussions and Categorising Discursive and Metacognitive Activities. In Proceedings of CERME 5 (pp. 1180 – 1189). Retrieved December 21 2012 from http://www.ikm.uni-osnabrueck.de/mitglieder/cohors/literatur/CERME5_discursivness_metacognition.pdf

Cohors-Fresenborg, E., Kramer, S., Pundsack, F., Sjuts, J., & Sommer, N. (2010). The role of metacognitive monitoring in explaining differences in mathematics achievement. ZDM Mathematics Education, 42, 231–244.

Jacobs, J., Garnier, H., Gallimore, R., Hollingsworth, H., Givvin, K. B., Rust, K., et al. (2003). Third International Mathematics and Science Study 1999 Video Study Technical Report. Volume 1:

Mathematics. Washington: National Center for Education Statistics. Institute of Education Statistics, U. S. Department of Education.

Mason, J., Burton, L., & Stacey, K. (1982/2010). Thinking Mathematically. Dorchester: Pearson Education Limited. Second Edition.

Mevarech, Z. R., & Kramarski, B. (1997). IMPROVE: A Multidimensional Method for Teaching Mathematics in Heterogeneous Classrooms. American Educational Research Journal, 92(4), 365–394.

Pólya, G. (1945). How to Solve It. Princeton, NJ: University Press.

Rott, B. (2012a). Problem Solving Processes of Fifth Graders – an Analysis of Problem Solving Types. In Proceedings of the 12th ICME Conference. Seoul, Korea. Retrieved November 25 2012 from http://www.icme12.org/upload/UpFile2/TSG/0291.pdf

Rott, B. (2012b). Models of the Problem Solving Process – a Discussion Referring to the Processes of Fifth Graders. In T. Bergqvist (Ed.), Proceedings from the 13th ProMath conference, Sep. 2011 (pp. 95–109).

Schoenfeld, A. H. (1985). Mathematical Problem Solving. Orlando, Florida: Academic Press, Inc.

Schoenfeld, A. H. (1992). On Paradigms and Methods: What do you do when the ones you know don’t do what you want them to? Issues in the Analysis of data in the form of videotapes. The Journal of the learning of sciences, 2(2), 179–214.

Wilson, J. W., Fernandez, M. L., & Hadaway, N. (1993). Mathematical problem solving. In P. S. Wilson (Ed.), Research ideas for the classroom: High school mathematics. Chapter. 4. (pp. 57–77).

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