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Information Journal Paper

Title

The investigation of students' mistakes in simplifying algebraic expressions, and finding the source of these mistakes from the viewpoint of math teachers

Pages

  959-970

Abstract

 Background and Objectives: Mathematics is one major subject matter in the curriculum of all majors. One of the concerns of educators and math Teachers is that Middle School mathematics students have many problems when they are faced with algebraic topics. In Iran, all students need to study algebra and Teachers must help them build a deep and lasting understanding and skills for high-school math. Hence, an important goal for Teachers is to be aware of the mistakes in order to help students to understand concepts and procedures correctly. However, unfortunately, some Teachers do not have enough knowledge to identify and correct the existing mistakes and their origin. Therefore, recognizing mistakes and their origins and informing Teachers about these mistakes may help students succeed in learning algebra. Thus, the purpose of this research was to investigate the students' mistakes in simplifying the algebraic expressions and finding the origin of making such mistakes from the mathematics Teachers’ viewpoint. Methods: This research is an applied research and due to its purpose it is considered to be a qualitative research. The research sample included 14 math Teachers of the Middle School of Kerman Province with teaching experience between 12 to 29 years who were selected by the purposeful sampling method, as Teachers who had experience in teaching algebra in Middle Schools had to be selected. To collect the data, first a test about Simplifying Algebraic Expressions for eighth-grade students and extracting erroneous cases was designed through a semi-structured interview with math Teachers. The qualitative content analysis method was used for data analysis. Findings: The findings of this research showed that from the viewpoint of math Teachers, 22 types of mistakes were made by students of Middle School when Simplifying Algebraic Expressions including exponentiation, positive and negative sign, addition, subtraction, multiplication of integers, conjoining, a variable related operating, use of brackets, similar terms, and the order of operations. The findings also showed that Teachers believe that the causes of students' mistakes in Simplifying Algebraic Expressions are as follows: lack of understanding, misunderstanding or incomplete understanding of concepts such as variables, exponent, brackets, and similar terms; ignoring of algebraic symbols; students' self-made rules in dealing with exponent and brackets; interference of previously learned algebraic concepts with current learning and vice versa; and incorrect calculation of addition, subtraction, and multiplication of integers. Conclusion: Today, students are no longer isolated in a desert where math Teachers are the basis of knowledge, but rather floating in an ocean of information. However, Teachers are still needed to help them understand algebra in a meaningful way. In algebra, the concepts are formed hierarchically and the learning of each concept depends on the students' understanding of the prerequisite concepts. Therefore, if Teachers who teach algebra are fully aware of the reasons for students' mistakes, they attempt to make the prerequisite concepts understandable to the students correctly, and without any misunderstandings and errors. This helps students to make fewer mistakes in solving algebraic problems, increase their self-confidence, and ultimately, perform better.

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    APA: Copy

    Faramarzpoor, N., & Fadaee, M.R.. (2020). The investigation of students' mistakes in simplifying algebraic expressions, and finding the source of these mistakes from the viewpoint of math teachers. JOURNAL OF TECHNOLOGY OF EDUCATION (JOURNAL OF TECHNOLOGY AND EDUCATION), 14(4 (56) ), 959-970. SID. https://sid.ir/paper/375021/en

    Vancouver: Copy

    Faramarzpoor N., Fadaee M.R.. The investigation of students' mistakes in simplifying algebraic expressions, and finding the source of these mistakes from the viewpoint of math teachers. JOURNAL OF TECHNOLOGY OF EDUCATION (JOURNAL OF TECHNOLOGY AND EDUCATION)[Internet]. 2020;14(4 (56) ):959-970. Available from: https://sid.ir/paper/375021/en

    IEEE: Copy

    N. Faramarzpoor, and M.R. Fadaee, “The investigation of students' mistakes in simplifying algebraic expressions, and finding the source of these mistakes from the viewpoint of math teachers,” JOURNAL OF TECHNOLOGY OF EDUCATION (JOURNAL OF TECHNOLOGY AND EDUCATION), vol. 14, no. 4 (56) , pp. 959–970, 2020, [Online]. Available: https://sid.ir/paper/375021/en

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