Productive connective thinking scheme in mathematical problem solving

Turmudi, Turmudi and Susanti, Elly (2020) Productive connective thinking scheme in mathematical problem solving. SOCIAL SCIENCES & HUMANITIES, 28 (1). pp. 293-308. ISSN 0128-7702


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The need to make connections in doing problem-solving has been the focus of many
researchers. The purpose of this study was to describe the formation of productive
connective thinking schemes when students do complete the phases of mathematical
problem-solving. Schemes are formed through the phases of cognition, inference,
formulation, and reconstruction. This qualitative study adopted several modes of data
collection to triangulate data to ensure the validity of the findings. Twenty four research
participants were selected among high performing Grade 12 students of three Indonesian
Secondary Schools using the purposive sampling method. Productive thinking schemes
were identified based on the analysis of the participants’ written assignment, think-aloud
recordings and interview transcriptions. Description of the schemes was concluded from the
understanding of the causes of the problems and the way the participants make associations
between ideas. Students’ thinking structure is aligned with the structure of the given
problem. In solving the problem, participants formed constructive thinking schemes which
were generalization schemes that require high spatial and abstraction abilities. This allows
reconstruction of the connective thinking network scheme that forms a new connective
scheme that can be used for more complex problem-solving

Item Type: Journal Article
Keywords: Connective thinking schemes, mathematical problem solving, schemes, thinking
Subjects: 13 EDUCATION > 1399 Other Education > 139999 Education not elsewhere classified
Divisions: Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User: Elly Susanti
Date Deposited: 10 Jun 2020 14:43


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