Text Comprehension and Oral Language as Predictors of Word-Problem Solving: Insights into Word-Problem Solving as a Form of Text Comprehension

ABSTRACT This study was designed to deepen insights on whether word-problem (WP) solving is a form of text comprehension (TC) and on the role of language in WPs. A sample of 325 second graders, representing high, average, and low reading and math performance, was assessed on (a) start-of-year TC, WP skill, language, nonlinguistic reasoning, working memory, and foundational skill (word identification, arithmetic) and (b) year-end WP solving, WP-language processing (understanding WP statements, without calculation demands), and calculations. Multivariate, multilevel path analysis, accounting for classroom and school effects, indicated that TC was a significant and comparably strong predictor of all outcomes. Start-of-year language was a significantly stronger predictor of both year-end WP outcomes than of calculations, whereas start-of-year arithmetic was a significantly stronger predictor of calculations than of either WP measure. Implications are discussed in terms of WP solving as a form of TC and a theoretically coordinated approach, focused on language, for addressing TC and WP-solving instruction.

[1]  David C. Geary,et al.  Numerical Cognition on the Convergence of Componential and Psychometric Models Correspondence and Requests for Reprints Should Be Sent To , 1992 .

[2]  G. S. Wilkinson,et al.  Wide Range Achievement Test 4 , 2016 .

[3]  Anton J. H. Boonen,et al.  The role of visual representation type, spatial ability, and reading comprehension in word problem solving: An item-level analysis in elementary school children , 2014 .

[4]  Lieven Verschaffel,et al.  Development of children’s solutions of non-standard arithmetic word problem solving , 2013 .

[5]  Douglas Fuchs,et al.  Do different types of school mathematics development depend on different constellations of numerical versus general cognitive abilities? , 2010, Developmental psychology.

[6]  Richard J. Murnane,et al.  Do different dimensions of male high school students' skills predict labor market success a decade later? Evidence from the NLSY , 2001 .

[7]  John O. Willis,et al.  Wechsler Abbreviated Scale of Intelligence , 2014 .

[8]  Menno van der Schoot,et al.  The consistency effect depends on markedness in less successful but not successful problem solvers : An eye movement study in primary school children , 2009 .

[9]  Y. Benjamini,et al.  Controlling the false discovery rate: a practical and powerful approach to multiple testing , 1995 .

[10]  P. Gordon Numerical Cognition Without Words: Evidence from Amazonia , 2004, Science.

[11]  A. Satorra,et al.  Complex Sample Data in Structural Equation Modeling , 1995 .

[12]  Amy M. Elleman,et al.  Evaluating a Multidimensional Reading Comprehension Program and Reconsidering the Lowly Reputation of Tests of Near‐Transfer , 2018 .

[13]  L. Fuchs,et al.  Monitoring Early Reading Development in First Grade: Word Identification Fluency versus Nonsense Word Fluency , 2004 .

[14]  L. Fuchs,et al.  Problem Solving and Computational Skill: Are They Shared or Distinct Aspects of Mathematical Cognition? , 2008, Journal of educational psychology.

[15]  Lieven Verschaffel,et al.  Teaching realistic mathematical modeling in the elementary school. A teaching experiment with fifth graders , 1995 .

[16]  Asha K. Jitendra,et al.  Enhancing Main Idea Comprehension for Students with Learning Problems , 2000 .

[17]  R. Kline Principles and practice of structural equation modeling, 3rd ed. , 2011 .

[18]  L. Aiken Language Factors In Learning Mathematics , 1972 .

[19]  J. LeFevre,et al.  Pathways to mathematics: longitudinal predictors of performance. , 2010, Child development.

[20]  M. Just,et al.  Working Memory Constraints on the Resolution of Lexical Ambiguity: Maintaining Multiple Interpretations in Neutral Contexts , 1994 .

[21]  L. Fuchs,et al.  Does Calculation or Word-Problem Instruction Provide A Stronger Route to Pre-Algebraic Knowledge? , 2014, Journal of educational psychology.

[22]  G. Roberts,et al.  An analysis of the mathematics vocabulary knowledge of third- and fifth-grade students: Connections to general vocabulary and mathematics computation , 2017 .

[23]  David J. Purpura,et al.  Why Do Early Mathematics Skills Predict Later Reading? The Role of Mathematical Language , 2017, Developmental psychology.

[24]  C. Cornoldi,et al.  Role of working memory in explaining the performance of individuals with specific reading comprehension difficulties: A meta-analysis , 2009 .

[25]  L. Siegel,et al.  The development of working memory in normally achieving and subtypes of learning disabled children. , 1989, Child development.

[26]  Mary K. Hoard,et al.  First-Grade Predictors of Mathematical Learning Disability: A Latent Class Trajectory Analysis. , 2009, Cognitive development.

[27]  Hugh W. Catts,et al.  Developmental Changes in Reading and Reading Disabilities , 2005 .

[28]  D. Geary Cognitive predictors of achievement growth in mathematics: a 5-year longitudinal study. , 2011, Developmental psychology.

[29]  Nancy C. Jordan,et al.  Mathematical Thinking in Second-Grade Children with Different Forms of LD , 2000, Journal of learning disabilities.

[30]  W. Kintsch,et al.  Strategies of discourse comprehension , 1983 .

[31]  Lynn S. Fuchs,et al.  The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems , 2006 .

[32]  G. Duncan,et al.  School readiness and later achievement. , 2007, Developmental psychology.

[33]  W Kintsch,et al.  Understanding and solving word arithmetic problems. , 1985, Psychological review.

[34]  Kaisa Aunola,et al.  The association between mathematical word problems and reading comprehension , 2008 .

[35]  H. Catts,et al.  Prologue: Reading Comprehension Is Not a Single Ability. , 2014, Language, speech, and hearing services in schools.

[36]  Stuart J. Ritchie,et al.  Enduring Links From Childhood Mathematics and Reading Achievement to Adult Socioeconomic Status , 2013, Psychology Science.

[37]  H. Swanson,et al.  The Relationship Between Working Memory and Mathematical Problem Solving in Children at Risk and Not at Risk for Serious Math Difficulties , 2004 .

[38]  L. Fuchs,et al.  Pathways to Third-Grade Calculation Versus Word-Reading Competence: Are They More Alike or Different? , 2016, Child development.

[39]  Douglas Fuchs,et al.  Is Word-Problem Solving a Form of Text Comprehension? , 2015, Scientific studies of reading : the official journal of the Society for the Scientific Study of Reading.

[40]  Rex B. Kline,et al.  Principles and Practice of Structural Equation Modeling , 1998 .

[41]  R. Plomin,et al.  Mathematics is differentially related to reading comprehension and word decoding: Evidence from a genetically-sensitive design. , 2012, Journal of educational psychology.

[42]  Dan Lin,et al.  Pathways to arithmetic: The role of visual-spatial and language skills in written arithmetic, arithmetic word problems, and nonsymbolic arithmetic , 2015 .

[43]  H. Lee Swanson,et al.  The Influence of Working Memory and Classification Ability on Children′s Word Problem Solution , 1993 .

[44]  Laurie E. Cutting,et al.  Prediction of Reading Comprehension: Relative Contributions of Word Recognition, Language Proficiency, and Other Cognitive Skills Can Depend on How Comprehension Is Measured , 2006 .

[45]  Anton J. H. Boonen,et al.  What underlies successful word problem solving? A path analysis in sixth grade students , 2013 .

[46]  David J. Purpura,et al.  Working memory and language: skill-specific or domain-general relations to mathematics? , 2014, Journal of experimental child psychology.

[47]  Miriam Alfassi,et al.  Reading for Meaning: The Efficacy of Reciprocal Teaching in Fostering Reading Comprehension in High School Students in Remedial Reading Classes , 1998 .

[48]  Philip B. Gough,et al.  Decoding, Reading, and Reading Disability , 1986 .

[49]  John W. Adams,et al.  The relationship between visuospatial sketchpad capacity and children's mathematical skills , 2008 .

[50]  B. Carretti,et al.  Components of reading comprehension and scholastic achievement , 2006 .

[51]  E. Spelke,et al.  Sources of mathematical thinking: behavioral and brain-imaging evidence. , 1999, Science.

[52]  I. Deary,et al.  Intelligence, education, and mortality , 2010, BMJ : British Medical Journal.

[53]  A. Bernardo,et al.  Overcoming Obstacles to Understanding and Solving Word Problems in Mathematics , 1999 .

[54]  Gary J. Robertson,et al.  Wide‐Range Achievement Test , 2010 .

[55]  F. Schmalhofer,et al.  Comprehension Skill and Word-to-Text Integration Processes , 2008 .

[56]  B. Pennington,et al.  Comorbidity Between Reading Disability and Math Disability , 2013, Journal of learning disabilities.

[57]  Hugh W. Catts,et al.  The Connections between Language and Reading Disabilities , 2005 .

[58]  Clinton I. Chase,et al.  Concept Formation as a Basis for Measuring Developmental Reading , 1969, The Elementary school journal.

[59]  Commentary on "Reading Comprehension Is Not a Single Ability": Implications for Child Language Intervention. , 2017, Language, speech, and hearing services in schools.

[60]  David N. Rapp,et al.  Higher-Order Comprehension Processes in Struggling Readers: A Perspective for Research and Intervention , 2007 .