Investigating the understanding of Tehran’s second elementary school students of the fraction’s part- whole subconstruct, based on APOS and SOLO theories with using an unusual task
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
The aim of this research was investigating understanding of Tehran’s second elementary school students of the fraction concept (part-whole subconstruct) based on APOS and SOLO theories. This study’s method was descriptive-survey method, its statistical population was Tehran’s second elementary school students in the academic year 1397-1398 and its sample was 598 people of the statistical population that selected by multistage sampling method. A test with an unusual task used for collecting data. The content validity of the research tools were confirmed by experts and scholars of mathematics education, and the reliability of the research tools was obtained based on Cronbach's alpha of 0.7. Results of this study showed that students have a limited understanding of fraction’s concept and they have common misconceptions. The most common misconceptions found include: (1) Disregarding the requirement of equal parts in part- whole subconstruct; 2- Understanding fraction in part- whole subconstruct as the part-to-part ratio & 3- Using approximate partitioning to determine the exact fraction of the specified part. Analyzing the responses based on the APOS theory also revealed students did not have ability to use this concept in dealing with unusual situations. In analyzing the responses based on the Solo model, more than 60% of the responses were in the multistructural level. The suggestions of this research are not to over-emphasize the part -whole subconstruct, creating equal opportunities for developing other subconstructs of fraction and emphasizing on conceptual learning of procedures and algorithms relative to fraction concept in content and opportunities presented to students.
Keywords:
Language:
Persian
Published:
Curriculum Planning, Volume:18 Issue: 68, 2021
Pages:
124 to 141
https://www.magiran.com/p2278412
سامانه نویسندگان
اطلاعات نویسنده(گان) توسط ایشان ثبت و تکمیل شدهاست. برای مشاهده مشخصات و فهرست همه مطالب، صفحه رزومه را ببینید.
مقالات دیگری از این نویسنده (گان)
-
The probability concept in elementary mathematics textbooks: An analytical look at the concepts and tasks' cognitive demand levels
Mojtaba Eskandari, *,
Journal of New Approach to Children's Education, -
تحلیل محتوای کتاب ریاضی پایه ششم ابتدایی بر اساس سطوح نیاز شناختی تکالیف
مریم طیبی*، ،
نشریه پژوهش در آموزش ریاضی، پاییز 1400 -
Searching for the Main Elements of Creativity in the Performance of Elementary School Teachers in The Problem-Posing Process
Mohammad Fallah Nasimi, *, Mohammad Javad Eslampoor
Journal of Research in Mathematics Education, Spring 2021