A descriptive phase model of problem-solving processes - Kölner UniversitätsPublikationsServer

Rott, Benjamin ORCID: 0000-0002-8113-1584, Specht, Birte and Knipping, Christine (2021). A descriptive phase model of problem-solving processes. ZDM-Math. Educ., 53 (4). S. 737 - 753. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1863-9704

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DOI:10.1007/s11858-021-01244-3

Abstract

Complementary to existing normative models, in this paper we suggest a descriptive phase model of problem solving. Real, not ideal, problem-solving processes contain errors, detours, and cycles, and they do not follow a predetermined sequence, as is presumed in normative models. To represent and emphasize the non-linearity of empirical processes, a descriptive model seemed essential. The juxtaposition of models from the literature and our empirical analyses enabled us to generate such a descriptive model of problem-solving processes. For the generation of our model, we reflected on the following questions: (1) Which elements of existing models for problem-solving processes can be used for a descriptive model? (2) Can the model be used to describe and discriminate different types of processes? Our descriptive model allows one not only to capture the idiosyncratic sequencing of real problem-solving processes, but simultaneously to compare different processes, by means of accumulation. In particular, our model allows discrimination between problem-solving and routine processes. Also, successful and unsuccessful problem-solving processes as well as processes in paper-and-pencil versus dynamic-geometry environments can be characterised and compared with our model.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Rott, Benjamin	UNSPECIFIED	orcid.org/0000-0002-8113-1584	UNSPECIFIED
Specht, Birte	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Knipping, Christine	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED