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Krowka, Sarah K.; Fuchs, Lynn S. – Learning Disabilities Research & Practice, 2017
This study examined differences in cognitive processing between 4th-grade students who respond adequately, as opposed to inadequately, to intervention on 3 fraction outcomes: number-line estimation, calculation, and word problems. Students were assessed on 7 cognitive processes and on the 3 fraction outcomes. Students were grouped as adequate or…
Descriptors: Cognitive Processes, Grade 4, Elementary School Students, Fractions
Krowka, Sarah K.; Fuchs, Lynn S. – Grantee Submission, 2017
This study examined differences in cognitive processing between 4th-grade students who respond adequately, as opposed to inadequately, to intervention on 3 fraction outcomes: number-line estimation, calculation, and word problems. Students were assessed on 7 cognitive processes and on the 3 fraction outcomes. Students were grouped as adequate or…
Descriptors: Cognitive Processes, Grade 4, Elementary School Students, Fractions
Cirino, Paul T.; Tolar, Tammy D.; Fuchs, Lynn S.; Huston-Warren, Emily – Grantee Submission, 2016
There is a strong research base on the underlying concomitants of early developing math skills. Fewer studies have focused on later developing skills. Here, we focused on direct and indirect contributions of cognitive measures (e.g., language, spatial skills, working memory) and numerosity measures, as well as arithmetic proficiency, on key…
Descriptors: Mathematics Skills, Fractions, Grade 6, Middle School Students
Namkung, Jessica M.; Fuchs, Lynn S. – Journal of Educational Psychology, 2016
The purpose of this study was to examine the cognitive predictors of calculations and number line estimation with whole numbers and fractions. At-risk 4th-grade students (N = 139) were assessed on 6 domain-general abilities (i.e., working memory, processing speed, concept formation, language, attentive behavior, and nonverbal reasoning) and…
Descriptors: Predictor Variables, Numbers, Mathematics, Grade 4
Fuchs, Lynn S.; Gilbert, Jennifer K.; Powell, Sarah R.; Cirino, Paul T.; Fuchs, Douglas; Hamlett, Carol L.; Seethaler, Pamela M.; Tolar, Tammy D. – Developmental Psychology, 2016
The purpose of this study was to examine child-level pathways in development of prealgebraic knowledge versus word-problem solving, while evaluating the contribution of calculation accuracy and fluency as mediators of foundational skills/processes. Children (n = 962; mean 7.60 years) were assessed on general cognitive processes and early…
Descriptors: Knowledge Level, Mathematics Skills, Word Problems (Mathematics), Problem Solving
Fuchs, Lynn S.; Gilbert, Jennifer K.; Powell, Sarah R.; Cirino, Paul T.; Fuchs, Douglas; Hamlett, Carol L.; Seethaler, Pamela M.; Tolar, Tammy D. – Grantee Submission, 2016
The purpose of this study was to examine child-level pathways in development of prealgebraic knowledge versus word-problem solving, while evaluating the contribution of calculation accuracy and fluency as mediators of foundational skills/processes. Children (n = 962; mean 7.60 years) were assessed on general cognitive processes and early…
Descriptors: Knowledge Level, Mathematics Skills, Word Problems (Mathematics), Problem Solving
Fuchs, Lynn S.; Malone, Amelia S.; Schumacher, Robin F.; Namkung, Jessica; Hamlett, Carol L.; Jordan, Nancy C.; Siegler, Robert S.; Gersten, Russell; Changas, Paul – Journal of Educational Psychology, 2016
The main purposes of this study were to test the effects of teaching at-risk 4th graders to provide explanations for their mathematics work and examine whether those effects occur by compensating for limitations in cognitive processes. We randomly assigned 212 children to 3 conditions: a control group and 2 variants of a multicomponent fraction…
Descriptors: Grade 4, Elementary School Mathematics, Elementary School Students, Cognitive Processes
Namkung, Jessica M.; Fuchs, Lynn S. – Grantee Submission, 2015
The purpose of this study was to examine the cognitive predictors of calculations and number line estimation with whole numbers and fractions. At-risk 4th-grade students (N = 139) were assessed on 7 domain-general abilities (i.e., working memory, processing speed, concept formation, language, attentive behavior, and nonverbal reasoning) and…
Descriptors: Predictor Variables, At Risk Students, Grade 4, Elementary School Students
Fuchs, Lynn S.; Fuchs, Douglas; Compton, Donald L.; Hamlett, Carol L.; Wang, Amber Y. – Scientific Studies of Reading, 2015
This study's hypotheses were that (a) word-problem (WP) solving is a form of text comprehension that involves language comprehension processes, working memory, and reasoning, but (b) WP solving differs from other forms of text comprehension by requiring WP-specific language comprehension as well as general language comprehension. At the start of…
Descriptors: Word Problems (Mathematics), Problem Solving, Reading Comprehension, Short Term Memory
Wang, Amber Y.; Fuchs, Lynn S.; Fuchs, Douglas – Grantee Submission, 2016
The purpose of this study was to identify cognitive and linguistic predictors of word problems with versus without irrelevant information. The sample was 701 2nd-grade students who received no specialized intervention on word problems. In the fall, they were assessed on initial arithmetic and word-problem skill as well as language ability, working…
Descriptors: Elementary School Mathematics, Elementary School Students, Grade 2, Mathematics Skills
Fuchs, Lynn S.; Malone, Amelia; Schumacher, Robin F.; Namkung, Jessica; Hamlett, Carol L.; Jordan, Nancy C.; Siegler, Robert S.; Gersten, Russell; Changas, Paul – Grantee Submission, 2015
The main purposes of this study were to test the effects of teaching at-risk 4th graders to provide explanations for their mathematics work and examine whether those effects occur by compensating for limitations in cognitive processes. We randomly assigned 212 children to 3 conditions: a control group and 2 variants of a multi-component fraction…
Descriptors: At Risk Students, Elementary School Students, Grade 4, Mathematics Instruction
Rhodes, Katherine T.; Branum-Martin, Lee; Washington, Julie A.; Fuchs, Lynn S. – Journal of Educational Psychology, 2017
Using multitrait, multimethod data, and confirmatory factor analysis, the current study examined the effects of arithmetic item formatting and the possibility that across formats, abilities other than arithmetic may contribute to children's answers. Measurement hypotheses were guided by several leading theories of arithmetic cognition. With a…
Descriptors: Arithmetic, Mathematics Tests, Test Format, Psychometrics
Cirino, Paul T.; Tolar, Tammy D.; Fuchs, Lynn S. – Society for Research on Educational Effectiveness, 2013
Algebra is a prerequisite for access to STEM careers and occupational success (NMAP, 2008a), yet algebra is difficult for students through high school (US DOE, 2008). Growth in children's conceptual and procedural arithmetical knowledge is reciprocal, although conceptual knowledge has more impact on procedural knowledge than the reverse…
Descriptors: Arithmetic, Algebra, Mathematics Skills, Cognitive Processes
Seethaler, Pamela M.; Fuchs, Lynn S.; Star, Jon R.; Bryant, Joan – Learning and Individual Differences, 2011
The purpose of the present study was to explore the 3rd-grade cognitive predictors of 5th-grade computational skill with rational numbers and how those are similar to and different from the cognitive predictors of whole-number computational skill. Students (n=688) were assessed on incoming whole-number calculation skill, language, nonverbal…
Descriptors: Numbers, Short Term Memory, Concept Formation, Grade 5
Fuchs, Lynn S.; Compton, Donald L.; Fuchs, Douglas; Powell, Sarah R.; Schumacher, Robin F.; Hamlett, Carol L.; Vernier, Emily; Namkung, Jessica M.; Vukovic, Rose K. – Developmental Psychology, 2012
The purpose of this study was to investigate the contributions of domain-general cognitive resources and different forms of arithmetic development to individual differences in pre-algebraic knowledge. Children (n = 279, mean age = 7.59 years) were assessed on 7 domain-general cognitive resources as well as arithmetic calculations and word problems…
Descriptors: Arithmetic, Algebra, Individual Differences, Knowledge Level
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