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Download full textKatherine Williams; Chenmu Xing; Kolbi Bradley; Hilary Barth; Andrea L. Patalano – Journal of Numerical Cognition, 2023
Recent work reveals a left digit effect in number line estimation such that adults' and children's estimates for three-digit numbers with different hundreds-place digits but nearly identical magnitudes are systematically different (e.g., 398 is placed too far to the left of 401 on a 0-1000 line, despite their almost indistinguishable magnitudes;…
Descriptors: Computation, Visual Aids, Feedback (Response), Undergraduate Students
Direct linkBraithwaite, 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
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
