Pub Date : 2025-06-01Epub Date: 2024-12-30DOI: 10.1037/cep0000340
Katherine M Robinson, Bethany J Sander
Conceptual understanding of arithmetic is considered a key component for success in advanced mathematics topics such as algebra, but the link between them has rarely been investigated, particularly in adults. Participants solved conducive (3 × 26 ÷ 26) and nonconducive (26 × 3 ÷ 26) inversion problems, conducive (3 × 26 ÷ 13) and nonconducive (26 × 3 ÷ 13) associativity problems, and multiplication (3 × 6 × 12 = 3 × ?) and division (36 ÷ 8 ÷ 4 = 36 ÷ ?) equivalence problems and completed an algebra task. Conceptually based shortcut use on the nonconducive inversion problems was the strongest predictor of algebra scores. Participants who used conceptually based shortcuts on more problem types had higher algebra scores than participants who had low use of conceptually based shortcuts on most problem types. The results support the relationship between algebra and conceptual understanding of arithmetic and demonstrate that even in adulthood there are pronounced individual differences in conceptual understanding of arithmetic, which may impact success in advanced mathematics. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
{"title":"An investigation of algebra performance and conceptual knowledge of arithmetic in adults.","authors":"Katherine M Robinson, Bethany J Sander","doi":"10.1037/cep0000340","DOIUrl":"https://doi.org/10.1037/cep0000340","url":null,"abstract":"<p><p>Conceptual understanding of arithmetic is considered a key component for success in advanced mathematics topics such as algebra, but the link between them has rarely been investigated, particularly in adults. Participants solved conducive (3 × 26 ÷ 26) and nonconducive (26 × 3 ÷ 26) inversion problems, conducive (3 × 26 ÷ 13) and nonconducive (26 × 3 ÷ 13) associativity problems, and multiplication (3 × 6 × 12 = 3 × ?) and division (36 ÷ 8 ÷ 4 = 36 ÷ ?) equivalence problems and completed an algebra task. Conceptually based shortcut use on the nonconducive inversion problems was the strongest predictor of algebra scores. Participants who used conceptually based shortcuts on more problem types had higher algebra scores than participants who had low use of conceptually based shortcuts on most problem types. The results support the relationship between algebra and conceptual understanding of arithmetic and demonstrate that even in adulthood there are pronounced individual differences in conceptual understanding of arithmetic, which may impact success in advanced mathematics. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":"79 2","pages":"180-188"},"PeriodicalIF":1.1,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144509317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-01Epub Date: 2024-08-29DOI: 10.1037/cep0000343
Michael Slipenkyj, Jane Hutchison, Daniel Ansari, Ian M Lyons, Stephanie Bugden
Ordinal number processing skills are important for adults and children. Recent work demonstrates that children have difficulty with judging the ordinality of sequences that are in-order but do not match the typical count-list (i.e., in-order non-adjacent sequences, such as 2-4-6). Limited evidence in the literature suggests that dyscalculic children show a similar pattern of behavior. In the present study, we sought to explicitly test the hypothesis that children with developmental dyscalculia struggle primarily with extending notions of ordinality to sequences outside of the count-list. We test this hypothesis using a sample of children with persistent developmental dyscalculia, and a comparison group of typically performing children. Both groups completed an ordinality judgment task, in which triplet sequences were judged as being in-order (e.g., 3-4-5; 2-4-6) or in mixed-order (e.g., 3-5-4; 2-6-4). In line with our prediction, results demonstrate that children with persistent developmental dyscalculia make more errors, compared to typically performing children, but only on the in-order non-adjacent trials (e.g., 2-4-6). Broadly, this finding suggests that ordinality processing abilities are impaired in children with developmental dyscalculia, and that this characteristic appears primarily in extending notions of ordinality beyond adjacent sequences. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
{"title":"Ordinal processing differences between children with persistent dyscalculia and typically performing children.","authors":"Michael Slipenkyj, Jane Hutchison, Daniel Ansari, Ian M Lyons, Stephanie Bugden","doi":"10.1037/cep0000343","DOIUrl":"10.1037/cep0000343","url":null,"abstract":"<p><p>Ordinal number processing skills are important for adults and children. Recent work demonstrates that children have difficulty with judging the ordinality of sequences that are in-order but do not match the typical count-list (i.e., in-order non-adjacent sequences, such as 2-4-6). Limited evidence in the literature suggests that dyscalculic children show a similar pattern of behavior. In the present study, we sought to explicitly test the hypothesis that children with developmental dyscalculia struggle primarily with extending notions of ordinality to sequences outside of the count-list. We test this hypothesis using a sample of children with persistent developmental dyscalculia, and a comparison group of typically performing children. Both groups completed an ordinality judgment task, in which triplet sequences were judged as being in-order (e.g., 3-4-5; 2-4-6) or in mixed-order (e.g., 3-5-4; 2-6-4). In line with our prediction, results demonstrate that children with persistent developmental dyscalculia make more errors, compared to typically performing children, but only on the in-order non-adjacent trials (e.g., 2-4-6). Broadly, this finding suggests that ordinality processing abilities are impaired in children with developmental dyscalculia, and that this characteristic appears primarily in extending notions of ordinality beyond adjacent sequences. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":" ","pages":"195-205"},"PeriodicalIF":1.1,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142114610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Erin A Maloney, Thomas J Faulkenberry, Jo-Anne LeFevre
Over the past decades, numerical and mathematical cognition has transformed from a niche research area into a thriving global field, with contributions spanning diverse populations, methodologies, and theoretical approaches. The 13 articles in this special issue highlight the breadth and depth of contemporary research, addressing topics such as the development of early numeracy skills, the interplay between mathematical and reading processes, the cognitive mechanisms supporting arithmetic and algebra, and the role of visuospatial thinking in expert mathematical reasoning. The contributions exemplify methodological innovation, from longitudinal studies and psychometric evaluations to interdisciplinary theoretical models that integrate numerical and linguistic frameworks. Together, they collectively advance theoretical, applied, and interdisciplinary perspectives. This introduction synthesizes the contributions, demonstrating how they collectively inspire future directions for research on numerical and mathematical cognition. We discuss the broader implications of the work while also contextualizing its development within its historical ties to Canadian experimental psychology and the foundational work of pioneers such as the late Jamie I. D. Campbell, in memory of whom this special issue was conceived. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
在过去的几十年里,数值和数学认知已经从一个小众研究领域转变为一个蓬勃发展的全球领域,其贡献跨越了不同的人群、方法和理论方法。这期特刊中的13篇文章突出了当代研究的广度和深度,讨论了诸如早期计算技能的发展,数学和阅读过程之间的相互作用,支持算术和代数的认知机制,以及视觉空间思维在专业数学推理中的作用等主题。这些贡献体现了方法论的创新,从纵向研究和心理测量评估到整合数字和语言框架的跨学科理论模型。他们共同推进理论、应用和跨学科的观点。这篇引言综合了这些贡献,展示了它们如何共同激发了数值和数学认知研究的未来方向。我们讨论了这项工作的更广泛的含义,同时也将其发展背景与加拿大实验心理学的历史联系和先驱的基础工作,如已故的杰米·i·d·坎贝尔(Jamie I. D. Campbell),为了纪念他,这期特刊被构想出来。(PsycInfo Database Record (c) 2025 APA,版权所有)。
{"title":"Branching out while remembering our roots: A special issue on numerical and mathematical cognition.","authors":"Erin A Maloney, Thomas J Faulkenberry, Jo-Anne LeFevre","doi":"10.1037/cep0000376","DOIUrl":"10.1037/cep0000376","url":null,"abstract":"<p><p>Over the past decades, numerical and mathematical cognition has transformed from a niche research area into a thriving global field, with contributions spanning diverse populations, methodologies, and theoretical approaches. The 13 articles in this special issue highlight the breadth and depth of contemporary research, addressing topics such as the development of early numeracy skills, the interplay between mathematical and reading processes, the cognitive mechanisms supporting arithmetic and algebra, and the role of visuospatial thinking in expert mathematical reasoning. The contributions exemplify methodological innovation, from longitudinal studies and psychometric evaluations to interdisciplinary theoretical models that integrate numerical and linguistic frameworks. Together, they collectively advance theoretical, applied, and interdisciplinary perspectives. This introduction synthesizes the contributions, demonstrating how they collectively inspire future directions for research on numerical and mathematical cognition. We discuss the broader implications of the work while also contextualizing its development within its historical ties to Canadian experimental psychology and the foundational work of pioneers such as the late Jamie I. D. Campbell, in memory of whom this special issue was conceived. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":"79 2","pages":"125-128"},"PeriodicalIF":1.6,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144509318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-01Epub Date: 2025-01-16DOI: 10.1037/cep0000348
Gigi Luk, Esteban Hernández-Rivera, Karla Tarín, Dan Chen, Michelle Jang, Debra Titone
Previous research on attitudes towards mathematics has mostly been assessed in a single language. We examined whether math attitudes differ by language in multilingual younger adults (ages 18-25). Furthermore, we evaluated the relationships between math attitudes, verbal memory, and calculation fluency in this sample. Eighty-seven French-English multilingual young adults self-reported their math attitudes using the Mathematics Anxiety Scale-Revised (Bai et al., 2009) in both English and French. Participants also self-reported verbal memory, calculation fluency, and general language proficiency in English and French. Results showed that attitudes towards mathematics for English and French were similar. Exploratory factor analysis also confirmed that the extracted factors revealed negative and positive attitudes towards mathematics, with English and French items loading on the same factors. Correlation analysis showed a negative relationship between negative attitudes towards mathematics and verbal memory only in English. This relationship remained statistically significant after controlling for general language proficiency. However, neither positive nor negative math attitudes were correlated with calculation fluency. Building on the examination of symbolic representations of mathematical cognition by Campbell, results from the study were interpreted as the first step to investigating math attitudes in individuals with diverse linguistic backgrounds. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
以前对数学态度的研究大多是用一种语言进行评估的。我们研究了多语言年轻人(18-25岁)的数学态度是否因语言而异。此外,我们评估了该样本中数学态度、言语记忆和计算流畅性之间的关系。87名法语-英语多语言年轻人使用英语和法语的数学焦虑量表(Bai et al., 2009)自我报告了他们的数学态度。参与者还自我报告了口头记忆、计算流畅性以及英语和法语的一般语言熟练程度。结果表明,英语和法语学生对数学的态度相似。探索性因素分析也证实,提取的因素揭示了对数学的消极和积极态度,英语和法语项目加载相同的因素。相关分析显示,数学消极态度与英语词汇记忆呈负相关。在控制了一般语言能力后,这种关系在统计上仍然显著。然而,积极或消极的数学态度与计算流畅性无关。基于Campbell对数学认知的符号表征的研究,该研究的结果被解释为调查不同语言背景个体的数学态度的第一步。(PsycInfo Database Record (c) 2025 APA,版权所有)。
{"title":"Math attitudes and verbal memory in multilingual younger adults.","authors":"Gigi Luk, Esteban Hernández-Rivera, Karla Tarín, Dan Chen, Michelle Jang, Debra Titone","doi":"10.1037/cep0000348","DOIUrl":"10.1037/cep0000348","url":null,"abstract":"<p><p>Previous research on attitudes towards mathematics has mostly been assessed in a single language. We examined whether math attitudes differ by language in multilingual younger adults (ages 18-25). Furthermore, we evaluated the relationships between math attitudes, verbal memory, and calculation fluency in this sample. Eighty-seven French-English multilingual young adults self-reported their math attitudes using the Mathematics Anxiety Scale-Revised (Bai et al., 2009) in both English and French. Participants also self-reported verbal memory, calculation fluency, and general language proficiency in English and French. Results showed that attitudes towards mathematics for English and French were similar. Exploratory factor analysis also confirmed that the extracted factors revealed negative and positive attitudes towards mathematics, with English and French items loading on the same factors. Correlation analysis showed a negative relationship between negative attitudes towards mathematics and verbal memory only in English. This relationship remained statistically significant after controlling for general language proficiency. However, neither positive nor negative math attitudes were correlated with calculation fluency. Building on the examination of symbolic representations of mathematical cognition by Campbell, results from the study were interpreted as the first step to investigating math attitudes in individuals with diverse linguistic backgrounds. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":" ","pages":"166-171"},"PeriodicalIF":1.1,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143016099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-01Epub Date: 2025-02-17DOI: 10.1037/cep0000371
Garret J Hall, Wilhelmina van Dijk, Jason C Chow, Matthew J Cooper Borkenhagen
Reading and math are related due to many codeveloping skills. Historically, theorizing in these two areas has progressed separately, despite well-documented empirical evidence for a range of shared underlying developmental processes subserving these learning domains. The purpose of this article was to describe the links between the Triple Code Model, an influential model of numerical cognition, and the Triangle Framework, a dominant model of learning to read. We describe several parallels between the theoretical models and discuss how the cognitive mechanisms posited by the Triangle Framework might be used to understand the commonalities in learning processes across these learning domains. In particular, we discuss how the cognitive mechanisms implemented in the Triangle Framework can be used to understand linguistic aspects of numerical cognition, specifically, learning the connections among numerals (e.g., 24) and spoken words (e.g., twenty-four), and linking those to semantic representations of magnitude. Following from these commonalities between the two models, we discuss several ways that interdisciplinary work integrating both models can benefit math cognition research. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
阅读和数学由于许多共同发展的技能而相互关联。从历史上看,这两个领域的理论是分开发展的,尽管有充分的经验证据表明,这些学习领域有一系列共同的潜在发展过程。本文的目的是描述三码模型(一种有影响力的数字认知模型)和三角框架(一种主要的阅读学习模型)之间的联系。我们描述了理论模型之间的几个相似之处,并讨论了如何使用三角框架假设的认知机制来理解这些学习领域中学习过程的共性。特别是,我们讨论了三角框架中实现的认知机制如何用于理解数字认知的语言方面,特别是学习数字(例如,24)和口语(例如,24)之间的联系,并将它们与大小的语义表征联系起来。根据这两种模型之间的共性,我们讨论了整合这两种模型的跨学科工作有利于数学认知研究的几种方式。(PsycInfo Database Record (c) 2025 APA,版权所有)。
{"title":"Parallel models of reading and numerical cognition.","authors":"Garret J Hall, Wilhelmina van Dijk, Jason C Chow, Matthew J Cooper Borkenhagen","doi":"10.1037/cep0000371","DOIUrl":"10.1037/cep0000371","url":null,"abstract":"<p><p>Reading and math are related due to many codeveloping skills. Historically, theorizing in these two areas has progressed separately, despite well-documented empirical evidence for a range of shared underlying developmental processes subserving these learning domains. The purpose of this article was to describe the links between the Triple Code Model, an influential model of numerical cognition, and the Triangle Framework, a dominant model of learning to read. We describe several parallels between the theoretical models and discuss how the cognitive mechanisms posited by the Triangle Framework might be used to understand the commonalities in learning processes across these learning domains. In particular, we discuss how the cognitive mechanisms implemented in the Triangle Framework can be used to understand linguistic aspects of numerical cognition, specifically, learning the connections among numerals (e.g., 24) and spoken words (e.g., twenty-four), and linking those to semantic representations of magnitude. Following from these commonalities between the two models, we discuss several ways that interdisciplinary work integrating both models can benefit math cognition research. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":" ","pages":"129-136"},"PeriodicalIF":1.1,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143442953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-01Epub Date: 2024-10-31DOI: 10.1037/cep0000346
Mei Ling Soh, Javier García-Orza, Neil Russel Mennie, Alejandro J Estudillo
Arithmetic requires the use of multiple cognitive processes, such as short-term memory (STM). However, findings on the association between STM and simple multiplication solving are mixed, potentially due to large interindividual differences in multiplication proficiency within and between samples. The present study aims to explore further the relationship between visual and verbal STM and simple multiplication solving with a large Malaysian sample (N = 230). Adults (age = 17-42) completed an online production-based multiplication-solving task, STM measures (verbal and visuospatial STM tasks), and a demographic survey. A mixed-model analysis found that verbal STM and visual STM predict multiplication performance, with lower span participants having longer reaction times during multiplication solving. Interestingly, we also observed the relationship between verbal STM and multiplication was moderated by interference, the impact of verbal STM was stronger in high-interference problems, while the visual STM-multiplication relation was moderated by problem size, high visual span participants took more advantage of their visual STM when presented with large size problems. Thus, our findings show that both verbal and visual STM in interaction with problem properties predict simple multiplication solving in adults. Hypotheses on the concrete mechanisms involved in these relationships are discussed. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
{"title":"Verbal and visual short-term memory predict performance in a multiplication production task: Evidence from a Malaysian sample.","authors":"Mei Ling Soh, Javier García-Orza, Neil Russel Mennie, Alejandro J Estudillo","doi":"10.1037/cep0000346","DOIUrl":"10.1037/cep0000346","url":null,"abstract":"<p><p>Arithmetic requires the use of multiple cognitive processes, such as short-term memory (STM). However, findings on the association between STM and simple multiplication solving are mixed, potentially due to large interindividual differences in multiplication proficiency within and between samples. The present study aims to explore further the relationship between visual and verbal STM and simple multiplication solving with a large Malaysian sample (<i>N</i> = 230). Adults (age = 17-42) completed an online production-based multiplication-solving task, STM measures (verbal and visuospatial STM tasks), and a demographic survey. A mixed-model analysis found that verbal STM and visual STM predict multiplication performance, with lower span participants having longer reaction times during multiplication solving. Interestingly, we also observed the relationship between verbal STM and multiplication was moderated by interference, the impact of verbal STM was stronger in high-interference problems, while the visual STM-multiplication relation was moderated by problem size, high visual span participants took more advantage of their visual STM when presented with large size problems. Thus, our findings show that both verbal and visual STM in interaction with problem properties predict simple multiplication solving in adults. Hypotheses on the concrete mechanisms involved in these relationships are discussed. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":" ","pages":"155-165"},"PeriodicalIF":1.1,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142548853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-01Epub Date: 2025-03-20DOI: 10.1037/cep0000365
Hester Breman, Renee S Hoekzema, Mikkel Willum Johansen, Henrik Kragh Sørensen, Rainer Goebel
While in society mathematics is often thought of as formal and rigid, mathematicians themselves frequently consider the discipline creative and visual. To challenge stereotypes, we focus on visuo-spatial thinking by research mathematicians (n = 232). Via the Object-Spatial Imagery and Verbal Questionnaire (Blazhenkova & Kozhevnikov, 2009), together with open questions, we ask the following: (1) Are mathematicians visuo-spatial thinkers? (2) Is the degree of visual thinking correlated with mathematical subdiscipline? (3) Which role does visual thinking play in mathematical research? The Object-Spatial Imagery and Verbal Questionnaire results indicate that mathematicians are more strongly visuo-spatial thinkers than scientists, humanities researchers or visual artists. The degree of visuo-spatial thinking does not correlate to how 'visual' the mathematical subdiscipline is as measured by average figure environment per article, obtained through text mining 3,799 arXiv articles. In open questions, two thirds of respondents (n = 222) report using visual mental imagery during mathematical research. Some mathematicians mention metaphors for research that refer to spatial movement, such as rock climbing, moving through a jungle or attacking the problem like an insect. Our study contributes to the research agenda set by Alcock et al. (2016), which aims to improve our understanding of mathematical cognition for the purpose of elucidating the nature of mathematical thinking and inform policymakers to address challenges in mathematics education. We conclude that visualisation plays an important part in the practice of mathematics, contrary to common belief. As Hadamard wrote in 1945: 'deductions in the realm of numbers may be, at least in several mathematical minds, most generally accompanied by images'. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
{"title":"On the importance of visuo-spatial thinking for research mathematicians.","authors":"Hester Breman, Renee S Hoekzema, Mikkel Willum Johansen, Henrik Kragh Sørensen, Rainer Goebel","doi":"10.1037/cep0000365","DOIUrl":"10.1037/cep0000365","url":null,"abstract":"<p><p>While in society mathematics is often thought of as formal and rigid, mathematicians themselves frequently consider the discipline creative and visual. To challenge stereotypes, we focus on visuo-spatial thinking by research mathematicians (<i>n</i> = 232). Via the Object-Spatial Imagery and Verbal Questionnaire (Blazhenkova & Kozhevnikov, 2009), together with open questions, we ask the following: (1) Are mathematicians visuo-spatial thinkers? (2) Is the degree of visual thinking correlated with mathematical subdiscipline? (3) Which role does visual thinking play in mathematical research? The Object-Spatial Imagery and Verbal Questionnaire results indicate that mathematicians are more strongly visuo-spatial thinkers than scientists, humanities researchers or visual artists. The degree of visuo-spatial thinking does not correlate to how 'visual' the mathematical subdiscipline is as measured by average figure environment per article, obtained through text mining 3,799 arXiv articles. In open questions, two thirds of respondents (<i>n</i> = 222) report using visual mental imagery during mathematical research. Some mathematicians mention metaphors for research that refer to spatial movement, such as rock climbing, moving through a jungle or attacking the problem like an insect. Our study contributes to the research agenda set by Alcock et al. (2016), which aims to improve our understanding of mathematical cognition for the purpose of elucidating the nature of mathematical thinking and inform policymakers to address challenges in mathematics education. We conclude that visualisation plays an important part in the practice of mathematics, contrary to common belief. As Hadamard wrote in 1945: 'deductions in the realm of numbers may be, at least in several mathematical minds, most generally accompanied by images'. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":" ","pages":"137-145"},"PeriodicalIF":1.1,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143671722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The goal of the present study was to investigate whether a relationship exists between statistical learning ability and sentence processing ability in adult readers and whether this relationship depends on the participant's exposure to print. Fifty participants read syntactically complex sentences while their eye movements were tracked and answered comprehension questions. The region of interest for the eye fixation analyses was the area where the complexity of the sentence became evident. Participants also completed a visual statistical learning (VSL) task and an author recognition test (ART). There were main effects of statistical learning ability and print exposure, as well as an interaction between the two on both first pass and total reading times. Reading times decreased with increasing VSL scores for participants with higher ART scores, whereas reading times increased with increasing VSL scores for participants with lower ART scores. In addition, participants with better statistical learning ability and greater print exposure had higher scores on the comprehension questions. These results demonstrate that efficient processing of complex syntactic structures depends on both good statistical learning skills and exposure to a large amount of print so that these skills have the opportunity to extract the relevant statistical relationships in the language. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
本研究的目的是探讨成人读者的统计学习能力与句子加工能力之间是否存在关系,以及这种关系是否取决于被试接触印刷品的程度。50名参与者阅读句法复杂的句子,同时跟踪他们的眼球运动,并回答理解问题。眼睛注视分析的兴趣区域是句子复杂性变得明显的区域。参与者还完成了视觉统计学习(VSL)任务和作者识别测试(ART)。统计学习能力和印刷品暴露是主要影响因素,两者在第一次通过和总阅读时间上存在交互作用。对于ART分数较高的参与者,阅读时间随着VSL分数的增加而减少,而对于ART分数较低的参与者,阅读时间随着VSL分数的增加而增加。此外,统计学习能力较强和印刷品接触较多的参与者在理解问题上得分较高。这些结果表明,对复杂句法结构的有效处理既依赖于良好的统计学习技能,也依赖于大量的印刷品,这样这些技能才有机会提取语言中相关的统计关系。(PsycInfo Database Record (c) 2025 APA,版权所有)。
{"title":"Statistical learning ability influences adults' reading of complex sentences.","authors":"Debra Jared, Amanda Farmaha","doi":"10.1037/cep0000380","DOIUrl":"10.1037/cep0000380","url":null,"abstract":"<p><p>The goal of the present study was to investigate whether a relationship exists between statistical learning ability and sentence processing ability in adult readers and whether this relationship depends on the participant's exposure to print. Fifty participants read syntactically complex sentences while their eye movements were tracked and answered comprehension questions. The region of interest for the eye fixation analyses was the area where the complexity of the sentence became evident. Participants also completed a visual statistical learning (VSL) task and an author recognition test (ART). There were main effects of statistical learning ability and print exposure, as well as an interaction between the two on both first pass and total reading times. Reading times decreased with increasing VSL scores for participants with higher ART scores, whereas reading times increased with increasing VSL scores for participants with lower ART scores. In addition, participants with better statistical learning ability and greater print exposure had higher scores on the comprehension questions. These results demonstrate that efficient processing of complex syntactic structures depends on both good statistical learning skills and exposure to a large amount of print so that these skills have the opportunity to extract the relevant statistical relationships in the language. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144042187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This work aimed to examine whether the spatial representations of actions depend on the spatial features of the body components involved in those actions. I proposed that this is possible, but only when the responses cannot be spatially coded based on the spatial features of the actions' goal. I presented participants with large and small objects and instructed them to respond with either their palm-hand or index-digit based on the colour of the objects. Palm-hand or index-digit responses represented large and small responses, respectively, considering the size of the effector part used. The collected data confirmed this hypothesis. I found a size-based Simon effect, indicating that participants code the size of their responses based on the relative size of the body part used for responding (i.e., palm-hand vs. index-digit). This finding therefore suggests that the size-based Simon effect could serve as a valuable tool for implicitly assessing the metrics of body representation. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
这项工作旨在研究动作的空间表征是否依赖于这些动作中涉及的身体成分的空间特征。我认为这是可能的,但前提是反应不能基于行动目标的空间特征进行空间编码。我向参与者展示了大小不同的物体,并指示他们根据物体的颜色,用手掌或食指做出反应。考虑到所使用的效应器部件的大小,手掌或指数响应分别代表大响应和小响应。收集到的数据证实了这一假设。我发现了一个基于尺寸的西蒙效应,表明参与者根据用于回应的身体部位的相对尺寸来编码他们的回应大小(即手掌与食指)。因此,这一发现表明,基于尺寸的西蒙效应可以作为一种有价值的工具,用于隐性评估身体表征的指标。(PsycInfo Database Record (c) 2025 APA,版权所有)。
{"title":"Body-related components of action can be spatially coded along the size dimension.","authors":"Loïc P Heurley","doi":"10.1037/cep0000378","DOIUrl":"10.1037/cep0000378","url":null,"abstract":"<p><p>This work aimed to examine whether the spatial representations of actions depend on the spatial features of the body components involved in those actions. I proposed that this is possible, but only when the responses cannot be spatially coded based on the spatial features of the actions' goal. I presented participants with large and small objects and instructed them to respond with either their palm-hand or index-digit based on the colour of the objects. Palm-hand or index-digit responses represented large and small responses, respectively, considering the size of the effector part used. The collected data confirmed this hypothesis. I found a size-based Simon effect, indicating that participants code the size of their responses based on the relative size of the body part used for responding (i.e., palm-hand vs. index-digit). This finding therefore suggests that the size-based Simon effect could serve as a valuable tool for implicitly assessing the metrics of body representation. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144057618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In published studies using the remember/know judgement paradigm, the remember-based old/new responses (supposed to be slow and effortful) are on average faster than the know-based responses (supposed to be fast and automatic), contrary to the dual-process theories' view. One widely believed cause of this finding is that it is an experimental artefact, meaning participants are unknowingly influenced by the instruction to first consider the remember before the know alternative. In Experiment 1, we hinted to participants to first consider the know experience. This did not reverse the order of the two response times (RT). In Experiment 2, we explicitly told them to first consider the familiarity experience. Additionally, we used a decision criterion favouring making quick familiarity responses. These measures significantly lowered the RT and increased the proportion of familiarity-based responses. However, they did not change the RT of the recollection-based responses and did not reverse the relative order of the two RTs. Based on this finding and participants' inability to inhibit the retrieval of contextual details, we concluded that the paradoxical RT results are probably not an experimental artefact and that retrieval of detailed information in recollective recognition might be automatic. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
在使用记忆/知道判断范式的已发表研究中,基于记忆的旧/新反应(被认为是缓慢和费力的)平均比基于知识的反应(被认为是快速和自动的)快,这与双过程理论的观点相反。人们普遍认为,这一发现的一个原因是,这是一个实验人工制品,这意味着参与者在不知情的情况下,受到了在选择已知选项之前先考虑记忆的指示的影响。在实验1中,我们提示被试先考虑已知的经验。这并没有颠倒两个响应时间(RT)的顺序。在实验2中,我们明确地告诉他们首先考虑熟悉体验。此外,我们使用了一个有利于快速做出熟悉反应的决策标准。这些措施显著降低了RT,并增加了基于熟悉度的反应的比例。然而,他们没有改变基于回忆的反应的RT,也没有颠倒两个RT的相对顺序。基于这一发现和参与者无法抑制上下文细节的检索,我们得出结论,矛盾的RT结果可能不是实验人工产物,回忆识别中详细信息的检索可能是自动的。(PsycInfo Database Record (c) 2025 APA,版权所有)。
{"title":"Is \"remember\"-recognition faster than \"know\"-recognition an experimental artefact? Revealing properties of recollection and familiarity.","authors":"Jerwen Jou, Mark Hwang","doi":"10.1037/cep0000379","DOIUrl":"10.1037/cep0000379","url":null,"abstract":"<p><p>In published studies using the remember/know judgement paradigm, the remember-based old/new responses (supposed to be slow and effortful) are on average faster than the know-based responses (supposed to be fast and automatic), contrary to the dual-process theories' view. One widely believed cause of this finding is that it is an experimental artefact, meaning participants are unknowingly influenced by the instruction to first consider the remember before the know alternative. In Experiment 1, we hinted to participants to first consider the know experience. This did not reverse the order of the two response times (RT). In Experiment 2, we explicitly told them to first consider the familiarity experience. Additionally, we used a decision criterion favouring making quick familiarity responses. These measures significantly lowered the RT and increased the proportion of familiarity-based responses. However, they did not change the RT of the recollection-based responses and did not reverse the relative order of the two RTs. Based on this finding and participants' inability to inhibit the retrieval of contextual details, we concluded that the paradoxical RT results are probably not an experimental artefact and that retrieval of detailed information in recollective recognition might be automatic. (PsycInfo Database Record (c) 2025 APA, all rights reserved).</p>","PeriodicalId":51529,"journal":{"name":"Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144057621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}