Developing eighth grade students’ mathematical practices in solids through argumentation: a design-based study

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2018
Şahin Doğruer, Şule
The purpose of this study was to obtain classroom mathematical practices of eighth graders’ during the concept of solids and to test the effectiveness of this content in an eighth-grade mathematics classroom. In this respect, an instructional sequence was used with guidance of a hypothetical learning trajectory. The context was basic elements of prisms, their surface area, basic elements of cylinder, its surface area and its volume. The process continued through four and half weeks. Argumentations, dynamic geometry software and daily life examples supported the classroom activities. Pretest and posttest were applied to the students to obtain the development of students’ understanding in related context. The classroom mathematical practices were obtained and analyzed by using emergent perspective as a theoretical framework. This view asserts learning occurs with combination of individual working and social aspects of environment. Using Krummheuer’s argumentation model which focus on taken-as-shared ideas, the mathematical practices were interpreted. Four mathematical practices were obtained as: (a) finding definition and properties of prisms, (b) finding surface area of prisms, (c) finding surface area of cylinder and (d) finding volume of cylinder. The results indicated that students’ understanding of three-dimensional solids improved with support of argumentations and dynamic geometry software.

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Citation Formats
Ş. Şahin Doğruer, “Developing eighth grade students’ mathematical practices in solids through argumentation: a design-based study,” Ph.D. - Doctoral Program, Middle East Technical University, 2018.