Effects of Figural and Numerical Presentation Formats on Growing Pattern Performance

Prior work exploring preschool-aged children’s reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children’s growing pattern task performance. The current study tested whether presentat...

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Main Authors: Marta K. Mielicki, Charlies J. Fitzsimmons, Lauren H. Woodbury, Hannah Marshal, Dake Zhang, Ferdinand D. Rivera, Clarissa A. Thompson
Format: Article
Language:English
Published: PsychOpen 2021-07-01
Series:Journal of Numerical Cognition
Subjects:
Online Access:https://jnc.psychopen.eu/index.php/jnc/article/view/6945
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spelling doaj-dbe98a57273b45b9a5ec211e8091d3df2021-09-09T13:24:20ZengPsychOpenJournal of Numerical Cognition2363-87612021-07-017212515510.5964/jnc.6945jnc.6945Effects of Figural and Numerical Presentation Formats on Growing Pattern PerformanceMarta K. Mielicki0Charlies J. Fitzsimmons1Lauren H. Woodbury2Hannah Marshal3Dake Zhang4Ferdinand D. Rivera5Clarissa A. Thompson6Department of Psychological Sciences, Kent State University, Kent, OH, USADepartment of Psychological Sciences, Kent State University, Kent, OH, USADepartment of Psychological Sciences, Kent State University, Kent, OH, USADepartment of Psychological Sciences, Kent State University, Kent, OH, USAGraduate School of Education, Rutgers University, New Brunswick, NJ, USADepartment of Mathematics & Statistics, San Jose State University, San Jose, CA, USADepartment of Psychological Sciences, Kent State University, Kent, OH, USAPrior work exploring preschool-aged children’s reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children’s growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern problems, and whether the effects of presentation format extend to transfer word problems for which no patterns are provided. Sixth grade students were randomly assigned to complete several growing pattern tasks in one of three presentation formats (figures, sequences of values, or tables of values), and later completed transfer story problems with no figures, sequences, or tables provided. Findings suggest that presenting growing patterns as figures can benefit performance, although these benefits may depend on both pattern type and task. No differences were observed in performance on transfer problems, likely because students rarely spontaneously generated figures. Additional exploratory analyses suggest that performance on growing pattern problems may be related to both standardized math ability and fraction task performance, whereas inhibitory control may only be related to performance for specific patterning tasks. These findings have implications for educators because describing/expressing patterns is critical to algebra and higher-level mathematics.https://jnc.psychopen.eu/index.php/jnc/article/view/6945growing patternspresentation formattransferrelational reasoningalgebra
collection DOAJ
language English
format Article
sources DOAJ
author Marta K. Mielicki
Charlies J. Fitzsimmons
Lauren H. Woodbury
Hannah Marshal
Dake Zhang
Ferdinand D. Rivera
Clarissa A. Thompson
spellingShingle Marta K. Mielicki
Charlies J. Fitzsimmons
Lauren H. Woodbury
Hannah Marshal
Dake Zhang
Ferdinand D. Rivera
Clarissa A. Thompson
Effects of Figural and Numerical Presentation Formats on Growing Pattern Performance
Journal of Numerical Cognition
growing patterns
presentation format
transfer
relational reasoning
algebra
author_facet Marta K. Mielicki
Charlies J. Fitzsimmons
Lauren H. Woodbury
Hannah Marshal
Dake Zhang
Ferdinand D. Rivera
Clarissa A. Thompson
author_sort Marta K. Mielicki
title Effects of Figural and Numerical Presentation Formats on Growing Pattern Performance
title_short Effects of Figural and Numerical Presentation Formats on Growing Pattern Performance
title_full Effects of Figural and Numerical Presentation Formats on Growing Pattern Performance
title_fullStr Effects of Figural and Numerical Presentation Formats on Growing Pattern Performance
title_full_unstemmed Effects of Figural and Numerical Presentation Formats on Growing Pattern Performance
title_sort effects of figural and numerical presentation formats on growing pattern performance
publisher PsychOpen
series Journal of Numerical Cognition
issn 2363-8761
publishDate 2021-07-01
description Prior work exploring preschool-aged children’s reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children’s growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern problems, and whether the effects of presentation format extend to transfer word problems for which no patterns are provided. Sixth grade students were randomly assigned to complete several growing pattern tasks in one of three presentation formats (figures, sequences of values, or tables of values), and later completed transfer story problems with no figures, sequences, or tables provided. Findings suggest that presenting growing patterns as figures can benefit performance, although these benefits may depend on both pattern type and task. No differences were observed in performance on transfer problems, likely because students rarely spontaneously generated figures. Additional exploratory analyses suggest that performance on growing pattern problems may be related to both standardized math ability and fraction task performance, whereas inhibitory control may only be related to performance for specific patterning tasks. These findings have implications for educators because describing/expressing patterns is critical to algebra and higher-level mathematics.
topic growing patterns
presentation format
transfer
relational reasoning
algebra
url https://jnc.psychopen.eu/index.php/jnc/article/view/6945
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