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ERIC Number: EJ1387289
Record Type: Journal
Publication Date: 2023
Pages: 20
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: EISSN-1464-5211
Mathematical Objects That Configure the Partial Area Meanings Mobilized in Task-Solving
Caviedes Barrera, Sofía; de Gamboa, Genaro; Badillo Jiménez, Edelmira Rosa
International Journal of Mathematical Education in Science and Technology, v54 n6 p1092-1111 2023
The area concept may appear in a wide range of problem situations. The representations used (geometrical, numerical and algebraic) in such situations entail particular practices that condition the partial area meanings. Thus, this study aims to characterize the partial area meanings mobilized in the resolution of area tasks. Each of the area partial meanings is characterized by a configuration of mathematical objects, which compromised the resolution process through semiotic functions. A top-down / bottom-up approach is implemented to identify these mathematical objects and the relationship between them. First, an analysis of the specialized literature on learning area concept is carried out in order to make an initial characterization of the partial area meanings. Subsequently, an analysis of resolutions of students aged 13-14 years old of a set of area tasks allows the first partial area meanings to be refined. The results showed three partial area meanings, which emerge from a detailed analysis of the mathematical practices involved in the students' resolutions. The relationships between the partial area meanings allow a better understanding of the global area meaning in a task-solving context.
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A