{"title":"The influence of reading comprehension on solving mathematical word problems: A situation model approach","authors":"Sabine Stephany","doi":"10.1515/9783110661941-019","DOIUrl":null,"url":null,"abstract":"Tasks presenting mathematical information as text, known as word problems, are one of the key components in the teaching of mathematics in primary school. Still, they are also one of the most difficult ones. Studies have revealed that word problems are solved up to 30% less successfully than tasks in numerical notation (Duarte et al., 2011). This discrepancy indicates that besides mathematical competence aspects of language play a significant role in the processing of word problems as well (Duarte et al., 2011; Gürsoy, 2016; Heinze et al., 2011; Prediger et al., 2015; Verschaffel et al., 2000). In order to solve a word problem, students not only need to perform the necessary mathematical operations, they also need to understand the text of the task. There are two intertwining factors central to understanding the text of a word problem: the task text itself and the problem solver’s individual reading competence. Both can cause difficulties. In recent years, increasing attention has been paid to the task text and its linguistic characteristics that are considered to challenge the processing of the task, such as academic language (Abedi & Lord, 2001; Gürsoy, 2016; Haag et al., 2015; Martinello, 2008; Prediger et al., 2015). However, there have only been a few studies that focus on reading skills as a factor in explaining students’ difficulties in dealing with word problems. Since reading and understanding the text of a task are fundamental for solving word problems, it can be assumed that, in addition to the linguistic characteristics of the task text itself, reading competence also has an important influence on the solution process. Hence, the present study examines the impact of reader characteristics on the handling of word problems in primary school and explores aspects of reading competence that may be relevant for their solution. Putting mathematical content and processes aside, word problems are primarily texts that have to be read and understood. In addition to the mathematical perspective on solving word problems (Section 2), the reading process is therefore examined from a cognitive-psychological perspective to transfer relevant conclusions to mathematics (Section 3). This may lead to important conclusions on ways of promoting","PeriodicalId":345296,"journal":{"name":"Diversity Dimensions in Mathematics and Language Learning","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Diversity Dimensions in Mathematics and Language Learning","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/9783110661941-019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Tasks presenting mathematical information as text, known as word problems, are one of the key components in the teaching of mathematics in primary school. Still, they are also one of the most difficult ones. Studies have revealed that word problems are solved up to 30% less successfully than tasks in numerical notation (Duarte et al., 2011). This discrepancy indicates that besides mathematical competence aspects of language play a significant role in the processing of word problems as well (Duarte et al., 2011; Gürsoy, 2016; Heinze et al., 2011; Prediger et al., 2015; Verschaffel et al., 2000). In order to solve a word problem, students not only need to perform the necessary mathematical operations, they also need to understand the text of the task. There are two intertwining factors central to understanding the text of a word problem: the task text itself and the problem solver’s individual reading competence. Both can cause difficulties. In recent years, increasing attention has been paid to the task text and its linguistic characteristics that are considered to challenge the processing of the task, such as academic language (Abedi & Lord, 2001; Gürsoy, 2016; Haag et al., 2015; Martinello, 2008; Prediger et al., 2015). However, there have only been a few studies that focus on reading skills as a factor in explaining students’ difficulties in dealing with word problems. Since reading and understanding the text of a task are fundamental for solving word problems, it can be assumed that, in addition to the linguistic characteristics of the task text itself, reading competence also has an important influence on the solution process. Hence, the present study examines the impact of reader characteristics on the handling of word problems in primary school and explores aspects of reading competence that may be relevant for their solution. Putting mathematical content and processes aside, word problems are primarily texts that have to be read and understood. In addition to the mathematical perspective on solving word problems (Section 2), the reading process is therefore examined from a cognitive-psychological perspective to transfer relevant conclusions to mathematics (Section 3). This may lead to important conclusions on ways of promoting
以文本形式呈现数学信息的任务,即文字问题,是小学数学教学的重要组成部分之一。尽管如此,它们也是最难的一个。研究表明,文字问题的解决成功率比数字符号任务低30% (Duarte et al., 2011)。这种差异表明,除了数学能力之外,语言的各个方面也在文字问题的处理中发挥着重要作用(Duarte et al., 2011;Gursoy, 2016;Heinze et al., 2011;Prediger et al., 2015;Verschaffel et al., 2000)。为了解决一个单词问题,学生不仅需要进行必要的数学运算,他们还需要理解任务的文本。有两个相互交织的因素是理解应用题文本的核心:任务文本本身和问题解决者的个人阅读能力。两者都会造成困难。近年来,人们越来越关注任务文本及其语言特征,这些特征被认为对任务的处理构成挑战,如学术语言(Abedi & Lord, 2001;Gursoy, 2016;Haag et al., 2015;Martinello, 2008;Prediger et al., 2015)。然而,只有少数研究将阅读技能作为解释学生在处理单词问题时遇到困难的一个因素。由于阅读和理解任务文本是解决单词问题的基础,因此可以认为,除了任务文本本身的语言特征外,阅读能力对解决过程也有重要影响。因此,本研究考察了读者特征对小学生处理文字问题的影响,并探讨了与解决这些问题有关的阅读能力方面。把数学内容和过程放在一边,单词问题主要是需要阅读和理解的文本。因此,除了从数学的角度解决单词问题(第2节)外,还从认知心理学的角度考察了阅读过程,以将相关结论转移到数学(第3节)。这可能会导致关于促进方式的重要结论