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Characteristics of Algebraic Thinking and its Errors by Mathematically Gifted Students
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 Title & Authors
Characteristics of Algebraic Thinking and its Errors by Mathematically Gifted Students
Kim, Kyung Eun; Seo, Hae Ae; Kim, Dong Hwa;
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The study aimed to investigate the characteristics of algebraic thinking of the mathematically gifted students and search for how to teach algebraic thinking. Research subjects in this study included 93 students who applied for a science gifted education center affiliated with a university in 2015 and previously experienced gifted education. Students` responses on an algebraic item of a creative thinking test in mathematics, which was given as screening process for admission were collected as data. A framework of algebraic thinking factors were extracted from literature review and utilized for data analysis. It was found that students showed difficulty in quantitative reasoning between two quantities and tendency to find solutions regarding equations as problem solving tools. In this process, students tended to concentrate variables on unknown place holders and to had difficulty understanding various meanings of variables. Some of students generated errors about algebraic concepts. In conclusions, it is recommended that functional thinking including such as generalizing and reasoning the relation among changing quantities is extended, procedural as well as structural aspects of algebraic expressions are emphasized, various situations to learn variables are given, and activities constructing variables on their own are strengthened for improving gifted students` learning and teaching algebra.
Mathematically gifted students;Algebraic thinking;Mathematical errors;Variables;
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