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Kelly-Ann Gesuelli; Nancy C. Jordan – Journal of Educational Psychology, 2024
Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…
Descriptors: Fractions, Arithmetic, Error Patterns, Mathematics Instruction
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Braithwaite, David W.; Sprague, Lauren; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2022
To explain children's difficulties learning fraction arithmetic, Braithwaite et al. (2017) proposed FARRA, a theory of fraction arithmetic implemented as a computational model. The present study tested predictions of the theory in a new domain, decimal arithmetic, and investigated children's use of conceptual knowledge in that domain. Sixth and…
Descriptors: Number Concepts, Numbers, Arithmetic, Fractions
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Lemonidis, Charalampos; Pilianidis, Nikos – International Electronic Journal of Mathematics Education, 2020
One of the attributes of rational numbers that make them different from integers are the different symbolic modes (fraction, decimal and percentage) to which an identical number can be attributed (e.g. 1/4, 0.25 and 25%). Some research has identified students' difficulty in mental calculations with rational numbers as has also the switching to…
Descriptors: Foreign Countries, Middle School Students, Grade 8, Mathematics Skills
Sidney, Pooja G.; Thalluri, Rajaa; Buerke, Morgan L.; Thompson, Clarissa A. – Grantee Submission, 2018
Adults use a variety of strategies to reason about fraction magnitudes, and this variability is adaptive. In two studies, we examined the relationships between mathematics anxiety, working memory, strategy variability and performance on two fraction tasks: fraction magnitude "comparison" and "estimation." Adults with higher…
Descriptors: Adults, Fractions, Mathematics Anxiety, Short Term Memory
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Malone, Amelia Schneider; Fuchs, Lynn S. – Grantee Submission, 2015
The 3 purposes of this study were to: (a) describe fraction ordering errors among at-risk 4th-grade students; (b) assess the effect of part-whole understanding and accuracy of fraction magnitude estimation on the probability of committing errors; and (c) examine the effect of students' ability to explain comparing problems on the probability of…
Descriptors: Error Patterns, Fractions, At Risk Students, Grade 4
Malone, Amelia S.; Fuchs, Lynn S. – Journal of Learning Disabilities, 2017
The three purposes of this study were to (a) describe fraction ordering errors among at-risk fourth grade students, (b) assess the effect of part-whole understanding and accuracy of fraction magnitude estimation on the probability of committing errors, and (c) examine the effect of students' ability to explain comparing problems on the probability…
Descriptors: Error Patterns, Fractions, Mathematics Instruction, At Risk Students