{"title":"Investigating students’ reasoning in generalization of deconstructive figural patterns","authors":"Ali Barahmand, Nargessadat Attari","doi":"10.1007/s10649-024-10355-z","DOIUrl":null,"url":null,"abstract":"<p>Different types of reasoning, such as intuitive, inductive, and deductive, are used in the generalization of figural patterns, as an important part of patterns in school mathematics. It is difficult to demarcate the constructive patterns where the regularity observed in the first few sentences is generalizable to the other sentences and each reasoning can lead to the correct answer. To examine the types of reasoning used by students and related factors, this study focuses on the deconstructive figural patterns through the design of three targeted tasks. The participants were 33 female students randomly selected from three 10th grade classes in one school. The data collected showed that a consistent reasoning is not used in tasks by the same participant and various factors, such as the appearance of the figures and the concepts used in the tasks, are involved in employing a reasoning. Moreover, the intuitive reasoning under the influence of a salient irrelevant variable was more prevalent than the others in the incorrect answers.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Educational Studies in Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10649-024-10355-z","RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
引用次数: 0
Abstract
Different types of reasoning, such as intuitive, inductive, and deductive, are used in the generalization of figural patterns, as an important part of patterns in school mathematics. It is difficult to demarcate the constructive patterns where the regularity observed in the first few sentences is generalizable to the other sentences and each reasoning can lead to the correct answer. To examine the types of reasoning used by students and related factors, this study focuses on the deconstructive figural patterns through the design of three targeted tasks. The participants were 33 female students randomly selected from three 10th grade classes in one school. The data collected showed that a consistent reasoning is not used in tasks by the same participant and various factors, such as the appearance of the figures and the concepts used in the tasks, are involved in employing a reasoning. Moreover, the intuitive reasoning under the influence of a salient irrelevant variable was more prevalent than the others in the incorrect answers.
期刊介绍：
Educational Studies in Mathematics presents new ideas and developments of major importance to those working in the field of mathematics education. It seeks to reflect both the variety of research concerns within this field and the range of methods used to study them. It deals with methodological, pedagogical/didactical, political and socio-cultural aspects of teaching and learning of mathematics, rather than with specific programmes for teaching mathematics. Within this range, Educational Studies in Mathematics is open to all research approaches. The emphasis is on high-level articles which are of more than local or national interest.? All contributions to this journal are peer reviewed.
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