Literature DB >> 25541565

Does Calculation or Word-Problem Instruction Provide A Stronger Route to Pre-Algebraic Knowledge?

Lynn S Fuchs1, Sarah R Powell2, Paul T Cirino3, Robin F Schumacher1, Sarah Marrin1, Carol L Hamlett1, Douglas Fuchs1, Donald L Compton1, Paul C Changas4.   

Abstract

The focus of this study was connections among 3 aspects of mathematical cognition at 2nd grade: calculations, word problems, and pre-algebraic knowledge. We extended the literature, which is dominated by correlational work, by examining whether intervention conducted on calculations or word problems contributes to improved performance in the other domain and whether intervention in either or both domains contributes to pre-algebraic knowledge. Participants were 1102 children in 127 2nd-grade classrooms in 25 schools. Teachers were randomly assigned to 3 conditions: calculation intervention, word-problem intervention, and business-as-usual control. Intervention, which lasted 17 weeks, was designed to provide research-based linkages between arithmetic calculations or arithmetic word problems (depending on condition) to pre-algebraic knowledge. Multilevel modeling suggested calculation intervention improved calculation but not word-problem outcomes; word-problem intervention enhanced word-problem but not calculation outcomes; and word-problem intervention provided a stronger route than calculation intervention to pre-algebraic knowledge.

Entities:  

Year:  2014        PMID: 25541565      PMCID: PMC4274629          DOI: 10.1037/a0036793

Source DB:  PubMed          Journal:  J Educ Psychol        ISSN: 0022-0663


  21 in total

1.  Contributions of domain-general cognitive resources and different forms of arithmetic development to pre-algebraic knowledge.

Authors:  Lynn S Fuchs; Donald L Compton; Douglas Fuchs; Sarah R Powell; Robin F Schumacher; Carol L Hamlett; Emily Vernier; Jessica M Namkung; Rose K Vukovic
Journal:  Dev Psychol       Date:  2012-03-12

2.  The Effects of Strategic Counting Instruction, with and without Deliberate Practice, on Number Combination Skill among Students with Mathematics Difficulties.

Authors:  Lynn S Fuchs; Sarah R Powell; Pamela M Seethaler; Paul T Cirino; Jack M Fletcher; Douglas Fuchs; Carol L Hamlett
Journal:  Learn Individ Differ       Date:  2010-04-01

3.  Effects of Preventative Tutoring on the Mathematical Problem Solving of Third-Grade Students With Math and Reading Difficulties.

Authors:  Lynn S Fuchs; Pamela M Seethaler; Sarah R Powell; Douglas Fuchs; Carol L Hamlett; Jack M Fletcher
Journal:  Except Child       Date:  2008

4.  Dynamic Assessment of Algebraic Learning in Predicting Third Graders' Development of Mathematical Problem Solving.

Authors:  Lynn S Fuchs; Donald L Compton; Douglas Fuchs; Kurstin N Hollenbeck; Caitlin F Craddock; Carol L Hamlett
Journal:  J Educ Psychol       Date:  2008-11

5.  Understanding and solving word arithmetic problems.

Authors:  W Kintsch; J G Greeno
Journal:  Psychol Rev       Date:  1985-01       Impact factor: 8.934

6.  Semantic representation and naming in children with specific language impairment.

Authors:  Karla K McGregor; Robyn M Newman; Renée M Reilly; Nina C Capone
Journal:  J Speech Lang Hear Res       Date:  2002-10       Impact factor: 2.297

7.  The contributions of numerosity and domain-general abilities to school readiness.

Authors:  Lynn S Fuchs; David C Geary; Donald L Compton; Douglas Fuchs; Carol L Hamlett; Joan D Bryant
Journal:  Child Dev       Date:  2010 Sep-Oct

8.  Do different types of school mathematics development depend on different constellations of numerical versus general cognitive abilities?

Authors:  Lynn S Fuchs; David C Geary; Donald L Compton; Douglas Fuchs; Carol L Hamlett; Pamela M Seethaler; Joan D Bryant; Christopher Schatschneider
Journal:  Dev Psychol       Date:  2010-11

9.  Limitations to teaching children 2 + 2 = 4: typical arithmetic problems can hinder learning of mathematical equivalence.

Authors:  Nicole M McNeil
Journal:  Child Dev       Date:  2008 Sep-Oct

10.  Effects of First-Grade Number Knowledge Tutoring With Contrasting Forms of Practice.

Authors:  Lynn S Fuchs; David C Geary; Donald L Compton; Douglas Fuchs; Christopher Schatschneider; Carol L Hamlett; Jacqueline Deselms; Pamela M Seethaler; Julie Wilson; Caitlin F Craddock; Joan D Bryant; Kurstin Luther; Paul Changas
Journal:  J Educ Psychol       Date:  2013-01-01
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  17 in total

1.  Effective Word-Problem Instruction: Using Schemas to Facilitate Mathematical Reasoning.

Authors:  Sarah R Powell; Lynn S Fuchs
Journal:  Teach Except Child       Date:  2018-06-07

2.  Cognitive and Linguistic Predictors of Mathematical Word Problems With and Without Irrelevant Information.

Authors:  Amber Y Wang; Lynn S Fuchs; Douglas Fuchs
Journal:  Learn Individ Differ       Date:  2016-10-16

3.  Bivariate Developmental Relations between Calculations and Word Problems: A Latent Change Approach.

Authors:  Jennifer K Gilbert; Lynn S Fuchs
Journal:  Contemp Educ Psychol       Date:  2017-10

4.  Child-Level Predictors of Responsiveness to Evidence-Based Mathematics Intervention.

Authors:  Sarah R Powell; Paul T Cirino; Amelia S Malone
Journal:  Except Child       Date:  2017-08-09

Review 5.  Connections Between Reading Comprehension and Word-Problem Solving via Oral Language Comprehension: Implications for Comorbid Learning Disabilities.

Authors:  Lynn S Fuchs; Douglas Fuchs; Pamela M Seethaler; Laurie E Cutting; Jeannette Mancilla-Martinez
Journal:  New Dir Child Adolesc Dev       Date:  2019-04-30

6.  Is Word-Problem Solving a Form of Text Comprehension?

Authors:  Lynn S Fuchs; Douglas Fuchs; Donald L Compton; Carol L Hamlett; Amber Y Wang
Journal:  Sci Stud Read       Date:  2015

7.  Effects of a Multitier Support System on Calculation, Word Problem, and Prealgebraic Performance Among At-Risk Learners.

Authors:  Sarah R Powell; Lynn S Fuchs; Paul T Cirino; Douglas Fuchs; Donald L Compton; Paul C Changas
Journal:  Except Child       Date:  2015-07

8.  The role of cognitive processes, foundational math skill, and calculation accuracy and fluency in word-problem solving versus prealgebraic knowledge.

Authors:  Lynn S Fuchs; Jennifer K Gilbert; Sarah R Powell; Paul T Cirino; Douglas Fuchs; Carol L Hamlett; Pamela M Seethaler; Tammy D Tolar
Journal:  Dev Psychol       Date:  2016-10-27

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

Authors:  Lynn S Fuchs; Jennifer K Gilbert; Douglas Fuchs; Pamela M Seethaler; BrittanyLee N Martin
Journal:  Sci Stud Read       Date:  2017-11-21

10.  Keys to the Gate? Equal Sign Knowledge at Second Grade Predicts Fourth-Grade Algebra Competence.

Authors:  Percival G Matthews; Lynn S Fuchs
Journal:  Child Dev       Date:  2018-09-17
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