بررسی ویژگی های ساختار ریاضی، تطابق ریاضی و درجه انتزاع در بازنمایی های گرافیکی تولید شده دانش آموزان پایه چهارم
Subject Areas : MAth Educationفاطمه زارعی 1 , مجید حق وردی 2 *
1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Arak Branch, Islamic Azad University, Arak , Iran
Keywords: Problem solving, Mathematical structure, Mathematical matching, Degree of abstraction.,
Abstract :
The aim of this research is to investigate the features of generated-graphic representations (mathematical structure, mathematical matching, and degree of abstraction) of students in solving mathematic word problems based on the framework introduced by Ott (2016). Therefore, the effect of considering the mathematical structure in their self-generated graphic representations and how they ensure the mathematical matching with the word problems and what degree of abstraction were investigated. In this study, students' designs and drawings were used as graphic representations. In this research, participated 124 students of the fourth grade of schools in Tehran. The data was collected through three tests (pre-test, post-test and follow-up test) in two consecutive days and the tests were designed from 8 word problems. After the 4-week intervention pre-test, every week the students were given a mathematical word problem and they were asked to draw a graphic representation for it based on the model of Cox (1999) containing all the items that is necessary to understand the problem. Then, students were asked to present their representation in class. After collecting and analyzing students' documents, the findings of this research showed that students pay more attention to a mathematically appropriate structure. Also, in the mathematical matching for operators, the representation of values and units was statistically significant, but the students kept the degree of abstraction relatively constant.
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