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ERIC Number: ED534284
Record Type: Non-Journal
Publication Date: 2012
Pages: 14
Abstractor: As Provided
Reference Count: 38
ISSN: ISSN-1548-6613
Grasp of Consciousness and Performance in Mathematics Making Explicit the Ways of Thinking in Solving Cartesian Product Problems
Soares, Maria Tereza Carneiro; Moro, Maria Lucia Faria; Spinillo, Alina Galvao
Online Submission, US-China Education Review A 5 p483-496 2012
This study examines the relationship between the grasp of consciousness of the reasoning process in Grades 5 and 8 pupils from a public and a private school, and their performance in mathematical problems of Cartesian product. Forty-two participants aged from 10 to 16 solved four problems in writing and explained their solution procedures by answering the question: "How did I think to solve this problem?". The qualitative analysis identified three response categories as indicators of the participants' grasp of consciousness regarding their ways of reasoning involved in finding the solutions, which can be explained by the reflecting abstractions model. The statistical analysis showed those categories as associated with the performance: progressively more refined justifications came along with mathematically correct solutions to the problems. Differences in performance and the use of justifications for the solutions by participants of both types of school corroborate that result. A teaching process directed towards students' reflection and comprehension regarding specific schemes and conceptual mathematical relations may be at the root of these differences. Thus, teachers' interventions that encourage students to think about their own thinking are recommended. (Contains 5 tables.)
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 5; Grade 6; Grade 7; Grade 8
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Brazil