The analysis of the understanding of the three-dimensional (Euclidian) space and the two-variable function concept by university students
| Autor: | Şenol Dost, Özgün Şefik |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Theoretical computer science
Euclidean space Computer science Applied Mathematics media_common.quotation_subject 05 social sciences Physics::Physics Education 050301 education Space (commercial competition) Object (computer science) Education Algebraic equation Algebraic operation 0502 economics and business Decomposition (computer science) Function (engineering) 0503 education 050203 business & management Applied Psychology media_common Variable (mathematics) |
| Zdroj: | The Journal of Mathematical Behavior. 57:100697 |
| ISSN: | 0732-3123 |
| DOI: | 10.1016/j.jmathb.2019.03.004 |
| Popis: | Conceptual understanding is being emphasized in mathematics education. Students often have difficulty understanding the multi-variable function, a key concept. Based on the APOS theory, which analyzes the cognitive structures formed by individuals in learning a mathematical concept and produces components related to that learning, this study analyzes the conceptual understanding of three-dimensional spaces and two-variable functions by university students. The genetic decomposition of these concepts proposed by Trigueros and Martinez-Planell is also considered. The analyzes results revealed that only one student constructed the concept of three-dimensional space as an object within the framework of genetic decomposition. Some students could not relate the concepts of two-variable function and three-dimensional space. Students who could perform algebraic operations had problems related to geometric representation. This study suggests the refinement of genetic decomposition to include, e.g., mental construction steps for writing algebraic equations of special surfaces whose graphs are given in R3. |
| Databáze: | OpenAIRE |
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