Relational thinking: The bridge between arithmetic and algebra
The purpose of this study is to investigate the development of relational thinking skill, which is an important component of the transition from arithmetic to algebra, of 5th grade students. In the study, the qualitative research method of teaching experiment was used. The resear...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Kura Publishing
2017-09-01
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| Series: | International Electronic Journal of Elementary Education |
| Subjects: | |
| Online Access: | https://iejee.com/index.php/IEJEE/article/view/305/297 |
| _version_ | 1797922948577755136 |
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| author | Ayhan Kızıltoprak Nilüfer Yavuzsoy Köse |
| author_facet | Ayhan Kızıltoprak Nilüfer Yavuzsoy Köse |
| author_sort | Ayhan Kızıltoprak |
| collection | DOAJ |
| description | The purpose of this study is to investigate the development of relational thinking skill, which is an important component of the transition from arithmetic to algebra, of 5th grade students. In the study, the qualitative research method of teaching experiment was used. The research data were collected from six secondary school 5th grade students by means of clinical interviews and teaching episodes. For observing the development of relational thinking, pre and post clinical interviews were also conducted before and after the eight-session teaching experiment. Qualitative analysis of the research data revealed that the relational thinking skills of all the students developed. It was also found that there was an interaction between the development of fundamental arithmetic concepts and relational thinking; that the students developed concepts related to arithmetical operations such as addend and sum; minuend, subtrahend and difference; multiplicator and product; and dividend, divisor and quotient. Moreover, students were able to use these concepts effectivelyalthough they failed to provide formal explanations about the relations between them. In addition, the students perceived the equal sign not only finding a result but also as a symbol used to establish a relation between operations and expressions. |
| first_indexed | 2024-04-10T14:39:20Z |
| format | Article |
| id | doaj.art-68c619c7fb1b40a0a11449c9e4e40281 |
| institution | Directory Open Access Journal |
| issn | 1307-9298 1307-9298 |
| language | English |
| last_indexed | 2024-04-10T14:39:20Z |
| publishDate | 2017-09-01 |
| publisher | Kura Publishing |
| record_format | Article |
| series | International Electronic Journal of Elementary Education |
| spelling | doaj.art-68c619c7fb1b40a0a11449c9e4e402812023-02-15T16:08:17ZengKura PublishingInternational Electronic Journal of Elementary Education1307-92981307-92982017-09-0110113114510.26822/iejee.2017131893Relational thinking: The bridge between arithmetic and algebraAyhan Kızıltoprak0Nilüfer Yavuzsoy Köse1Anadolu UniversityAnadolu UniversityThe purpose of this study is to investigate the development of relational thinking skill, which is an important component of the transition from arithmetic to algebra, of 5th grade students. In the study, the qualitative research method of teaching experiment was used. The research data were collected from six secondary school 5th grade students by means of clinical interviews and teaching episodes. For observing the development of relational thinking, pre and post clinical interviews were also conducted before and after the eight-session teaching experiment. Qualitative analysis of the research data revealed that the relational thinking skills of all the students developed. It was also found that there was an interaction between the development of fundamental arithmetic concepts and relational thinking; that the students developed concepts related to arithmetical operations such as addend and sum; minuend, subtrahend and difference; multiplicator and product; and dividend, divisor and quotient. Moreover, students were able to use these concepts effectivelyalthough they failed to provide formal explanations about the relations between them. In addition, the students perceived the equal sign not only finding a result but also as a symbol used to establish a relation between operations and expressions.https://iejee.com/index.php/IEJEE/article/view/305/297Mathematics teachingSecondary school studentsRelational thinkingEqual signTeaching experiment |
| spellingShingle | Ayhan Kızıltoprak Nilüfer Yavuzsoy Köse Relational thinking: The bridge between arithmetic and algebra International Electronic Journal of Elementary Education Mathematics teaching Secondary school students Relational thinking Equal sign Teaching experiment |
| title | Relational thinking: The bridge between arithmetic and algebra |
| title_full | Relational thinking: The bridge between arithmetic and algebra |
| title_fullStr | Relational thinking: The bridge between arithmetic and algebra |
| title_full_unstemmed | Relational thinking: The bridge between arithmetic and algebra |
| title_short | Relational thinking: The bridge between arithmetic and algebra |
| title_sort | relational thinking the bridge between arithmetic and algebra |
| topic | Mathematics teaching Secondary school students Relational thinking Equal sign Teaching experiment |
| url | https://iejee.com/index.php/IEJEE/article/view/305/297 |
| work_keys_str_mv | AT ayhankızıltoprak relationalthinkingthebridgebetweenarithmeticandalgebra AT niluferyavuzsoykose relationalthinkingthebridgebetweenarithmeticandalgebra |