Comparing the type of thinking and answers of students in solving proportional problems based on dual processing theory

Subject Areas :

Ali Mohammadian Khatir ¹ , Amir Ali Tabatabaei Adnani ^{2 *} , Ali Barahmand ³ , Mohammad Ali Faribourzi Araghi ⁴

1 - Ph. D. Candidate in Mathematics Education, Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Assistant Professor of Mathematics, Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
3 -
4 - Associate Professor of Mathematics, Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Received: 2024-12-23 Accepted : 2025-02-21 Published : 2025-02-23

Keywords: dual processing theory, direct and inverse proportion, disproportion problems.,

Abstract :

Purpose: The purpose of this study is to investigate the type of thinking and responses of seventh grade male and female students based on dual processing theory in solving direct and inverse proportional problems and non-proportional problems and comparing them with each other.

Method: The method of this research was quantitative-descriptive and practical in terms of purpose. Data were collected from 16 seventh grade students from two different public schools from the first period of secondary school. Students were asked to solve 9 open-ended problems, which included 3 direct proportional problems, 3 inverse proportional problems, and 3 non-proportional problems.

Findings: The results showed that in direct and inverse proportional problems and non-proportional problems, the students of both groups answered the questions correctly. In the section of intuitive and inferential answers related to all three types of problems, the group of boys answered the questions more intuitively than the group of girls, but the correct intuitive and inductive answers of the group of girls were more than the group of boys. Also, in non-proportional problems, most of the intuitive and inferential answers of both groups were incorrect. Also, in the examination of 9 questions, it was found that there is a significant difference in questions 3 and 4, and most of the students of the two groups used the intuitive method to answer the questions. But in the rest of the questions, there was no significant difference in students' answers to the questions with intuitive and inferential methods. Conclusion: It can be concluded that the type of thinking used by seventh grade male and female students in solving direct and inverse proportional problems and non-proportional problems based on dual processing theory can lead to better results in education.

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