{"title":"大学生的有理数表示、数学焦虑和代数成绩","authors":"Sangmi Park, Alena G. Esposito","doi":"10.1016/j.cogdev.2024.101417","DOIUrl":null,"url":null,"abstract":"<div><p>Understanding the magnitude of rational numbers is crucial for mathematical development. However, children do not readily integrate the quantity of fractions and decimals and are even less likely to show a linear representation of fractions and decimals. Thus, the current study examined whether college-aged individuals show spontaneous quantity integration across distinct notations of rational numbers, whether rational number representation would resemble a number line, and whether their rational number representation predicts algebra performance. Further, we examined whether math anxiety plays a role. We found that college students do develop linear representation integrating the quantity between fractions and decimals. Quantitative representation of rational numbers predicted higher algebra scores. Linearity was not a significant predictor for algebra performance. The relations remained even after controlling for math anxiety. Implications for numerical understanding as well as math achievement are discussed.</p></div>","PeriodicalId":51422,"journal":{"name":"Cognitive Development","volume":"69 ","pages":"Article 101417"},"PeriodicalIF":1.8000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rational number representation, math anxiety, and algebra performance in college students\",\"authors\":\"Sangmi Park, Alena G. Esposito\",\"doi\":\"10.1016/j.cogdev.2024.101417\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Understanding the magnitude of rational numbers is crucial for mathematical development. However, children do not readily integrate the quantity of fractions and decimals and are even less likely to show a linear representation of fractions and decimals. Thus, the current study examined whether college-aged individuals show spontaneous quantity integration across distinct notations of rational numbers, whether rational number representation would resemble a number line, and whether their rational number representation predicts algebra performance. Further, we examined whether math anxiety plays a role. We found that college students do develop linear representation integrating the quantity between fractions and decimals. Quantitative representation of rational numbers predicted higher algebra scores. Linearity was not a significant predictor for algebra performance. The relations remained even after controlling for math anxiety. Implications for numerical understanding as well as math achievement are discussed.</p></div>\",\"PeriodicalId\":51422,\"journal\":{\"name\":\"Cognitive Development\",\"volume\":\"69 \",\"pages\":\"Article 101417\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cognitive Development\",\"FirstCategoryId\":\"102\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0885201424000029\",\"RegionNum\":3,\"RegionCategory\":\"心理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PSYCHOLOGY, DEVELOPMENTAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cognitive Development","FirstCategoryId":"102","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0885201424000029","RegionNum":3,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PSYCHOLOGY, DEVELOPMENTAL","Score":null,"Total":0}
Rational number representation, math anxiety, and algebra performance in college students
Understanding the magnitude of rational numbers is crucial for mathematical development. However, children do not readily integrate the quantity of fractions and decimals and are even less likely to show a linear representation of fractions and decimals. Thus, the current study examined whether college-aged individuals show spontaneous quantity integration across distinct notations of rational numbers, whether rational number representation would resemble a number line, and whether their rational number representation predicts algebra performance. Further, we examined whether math anxiety plays a role. We found that college students do develop linear representation integrating the quantity between fractions and decimals. Quantitative representation of rational numbers predicted higher algebra scores. Linearity was not a significant predictor for algebra performance. The relations remained even after controlling for math anxiety. Implications for numerical understanding as well as math achievement are discussed.
期刊介绍：
Cognitive Development contains the very best empirical and theoretical work on the development of perception, memory, language, concepts, thinking, problem solving, metacognition, and social cognition. Criteria for acceptance of articles will be: significance of the work to issues of current interest, substance of the argument, and clarity of expression. For purposes of publication in Cognitive Development, moral and social development will be considered part of cognitive development when they are related to the development of knowledge or thought processes.
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