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Quality of Explanation as an Indicator of Fraction Magnitude Understanding
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Foreman-Murray, Lindsay; Fuchs, Lynn S. – Grantee Submission, 2018
Student explanations of their mathematical thinking and conclusions have become a greater part of the assessment landscape in recent years. With a sample of 71 4th-grade students at-risk for mathematics learning disabilities, we investigated the relation between student accuracy in comparing the magnitude of fractions and the quality of students'…
Descriptors: Elementary School Students, Grade 4, Elementary School Mathematics, Mathematics Skills
Does Calculation or Word-Problem Instruction Provide a Stronger Route to Prealgebraic Knowledge?
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Fuchs, Lynn S.; Powell, Sarah R.; Cirino, Paul T.; Schumacher, Robin F.; Marrin, Sarah; Hamlett, Carol L.; Fuchs, Douglas; Compton, Donald L.; Changas, Paul C. – Journal of Educational Psychology, 2014
The focus of this study was connections among 3 aspects of mathematical cognition at 2nd grade: calculations, word problems, and prealgebraic 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…
Descriptors: Computation, Word Problems (Mathematics), Mathematics Instruction, Teaching Methods
Does Early Algebraic Reasoning Differ as a Function of Students' Difficulty with Calculations versus Word Problems?
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Powell, Sarah R.; Fuchs, Lynn S. – Learning Disabilities Research & Practice, 2014
According to national mathematics standards, algebra instruction should begin at kindergarten and continue through elementary school. Most often, teachers address algebra in the elementary grades with problems related to solving equations or understanding functions. With 789 second-grade students, we administered: (1) measures of calculations and…
Descriptors: Algebra, Mathematics Instruction, Grade 2, Elementary School Students
Arithmetic and Cognitive Contributions to Algebra
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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
Improving At-Risk Learners' Understanding of Fractions
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Fuchs, Lynn S.; Schumacher, Robin F.; Long, Jessica; Namkung, Jessica; Hamlett, Carol L.; Cirino, Paul T.; Jordan, Nancy C.; Siegler, Robert; Gersten, Russell; Changas, Paul – Journal of Educational Psychology, 2013
The purposes of this study were to investigate the effects of an intervention designed to improve at-risk 4th graders' understanding of fractions and to examine the processes by which effects occurred. The intervention focused more on the measurement interpretation of fractions; the control condition focused more on the part-whole interpretation…
Descriptors: Mathematics, At Risk Students, Student Improvement, Intervention
Effects of Small-Group Tutoring with and without Validated Classroom Instruction on At-Risk Students' Math Problem Solving: Are Two Tiers of Prevention Better than One?
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Fuchs, Lynn S.; Fuchs, Douglas; Craddock, Caitlin; Hollenbeck, Kurstin N.; Hamlett, Carol L.; Schatschneider, Christopher – Journal of Educational Psychology, 2008
This study assessed the effects of small-group tutoring with and without validated classroom instruction on at-risk students' math problem solving. Stratifying within schools, 119 3rd-grade classes were randomly assigned to conventional or validated problem-solving instruction (Hot Math, schema-broadening instruction). Students identified as at…
Descriptors: Intervention, High Risk Students, Problem Solving, Effect Size