Literature DB >> 21793817

Benefits of practicing 4 = 2 + 2: nontraditional problem formats facilitate children's understanding of mathematical equivalence.

Nicole M McNeil1, Emily R Fyfe, Lori A Petersen, April E Dunwiddie, Heather Brletic-Shipley.   

Abstract

This study examined whether practice with arithmetic problems presented in a nontraditional problem format improves understanding of mathematical equivalence. Children (M age = 8;0; N = 90) were randomly assigned to practice addition in one of three conditions: (a) traditional, in which problems were presented in the traditional "operations on left side" format (e.g., 9 + 8 = 17); (b) nontraditional, in which problems were presented in a nontraditional format (e.g., 17 = 9 + 8); or (c) no extra practice. Children developed a better understanding of mathematical equivalence after receiving nontraditional practice than after receiving traditional practice or no extra practice. Results suggest that minor differences in early input can yield substantial differences in children's understanding of fundamental concepts.
© 2011 The Authors. Child Development © 2011 Society for Research in Child Development, Inc.

Entities:  

Mesh:

Year:  2011        PMID: 21793817     DOI: 10.1111/j.1467-8624.2011.01622.x

Source DB:  PubMed          Journal:  Child Dev        ISSN: 0009-3920


  8 in total

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Journal:  J Educ Psychol       Date:  2019-03-07

2.  Children's confidence using incorrect strategies on mathematical equivalence problems.

Authors:  Amanda Grenell; Lindsey J Nelson; Bailey Gardner; Emily R Fyfe
Journal:  Cogn Dev       Date:  2022-02-26

3.  Mathematics Clusters Reveal Strengths and Weaknesses in Adolescents' Mathematical Competencies, Spatial Abilities, and Mathematics Attitudes.

Authors:  John E Scofield; Mary K Hoard; Lara Nugent; Joseph V LaMendola; David C Geary
Journal:  J Cogn Dev       Date:  2021-06-21

4.  An eye for relations: eye-tracking indicates long-term negative effects of operational thinking on understanding of math equivalence.

Authors:  Dana L Chesney; Nicole M McNeil; James R Brockmole; Ken Kelley
Journal:  Mem Cognit       Date:  2013-10

5.  Is a substitute the same? Learning from lessons centering different relational conceptions of the equal sign.

Authors:  Andrea Marquardt Donovan; Ana Stephens; Burcu Alapala; Allison Monday; Emily Szkudlarek; Martha W Alibali; Percival G Matthews
Journal:  ZDM       Date:  2022-07-28

6.  In-Class Attention, Spatial Ability, and Mathematics Anxiety Predict Across-Grade Gains in Adolescents' Mathematics Achievement.

Authors:  David C Geary; Mary K Hoard; Lara Nugent; John E Scofield
Journal:  J Educ Psychol       Date:  2020-07-02

7.  Noticing relevant problem features: activating prior knowledge affects problem solving by guiding encoding.

Authors:  Noelle M Crooks; Martha W Alibali
Journal:  Front Psychol       Date:  2013-11-26

8.  Materials count: Linear-spatial materials improve young children's addition strategies and accuracy, irregular arrays don't.

Authors:  Joanna Schiffman; Elida V Laski
Journal:  PLoS One       Date:  2018-12-31       Impact factor: 3.240

  8 in total

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