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Obersteiner, Andreas; Alibali, Martha Wagner; Marupudi, Vijay – Journal of Numerical Cognition, 2022
Many studies have used fraction magnitude comparison tasks to assess people's abilities to quickly assess fraction magnitudes. However, since there are multiple ways to compare fractions, it is not clear whether people actually reason about the holistic magnitudes of the fractions in this task and whether they use multiple strategies in a flexible…
Descriptors: Fractions, Mathematics Skills, Learning Strategies, Problem Solving
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
Mielicki, Marta K.; Fitzsimmons, Charles J.; Woodbury, Lauren H.; Marshal, Hannah; Zhang, Dake; Rivera, Ferdinand D.; Thompson, Clarissa A. – Grantee Submission, 2021
Prior work exploring preschool-aged children's reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children's growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern…
Descriptors: Elementary School Students, Mathematics Skills, Number Concepts, Word Problems (Mathematics)
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
Ren, Kexin; Gunderson, Elizabeth A. – Developmental Psychology, 2019
Children and adults often have difficulties comparing decimal magnitudes. Although individuals attempt to reconcile decimals with prior whole-number and fraction knowledge, conceptual and procedural differences between decimals and prior knowledge of whole numbers and fractions can lead to incorrect strategies. The dynamic strategy choice account…
Descriptors: Number Concepts, Fractions, Bias, Arithmetic
Hoon, Teoh Sian; Mohamed, Siti Syardia Erdina; Singh, Parmjit; Kee, Kor Liew – Malaysian Journal of Learning and Instruction, 2020
Purpose: Most literature has focused solely on either knowledge about number sense or understanding of fractions. To fill the research gap, this study examined pupils' abilities in both number sense and fractions. In particular, it investigated Year 4 and Year 5 pupils' use of strategies in developing their fraction sense. Methodology: This study…
Descriptors: Learning Strategies, Fractions, Number Concepts, Concept Formation
Bingham, Teri; Rodriguez, Regina Chanel – Texas Association for Literacy Education Yearbook, 2019
Transitioning from teaching whole number operations to teaching fraction operations can prove difficult, even for the seasoned mathematics teacher. However, with effective literacy practices, teachers can seamlessly shift their students to learning the rules for fractions. The implications can be a mastery of mathematical language used to describe…
Descriptors: Fractions, Mathematics Instruction, Learning Strategies, Teaching Methods
Hurst, Michelle; Cordes, Sara – Journal of Educational Psychology, 2017
Rational number understanding is a critical building block for success in more advanced mathematics; however, how rational number magnitudes are conceptualized is not fully understood. In the current study, we used a dual-task working memory (WM) interference paradigm to investigate the dominant type of strategy (i.e., requiring verbal WM…
Descriptors: Short Term Memory, Learning Strategies, Mathematics Skills, Number Concepts
Rinne, Luke F.; Ye, Ai; Jordan, Nancy C. – Developmental Psychology, 2017
The present study investigated the development of fraction comparison strategies through a longitudinal analysis of children's responses to a fraction comparison task in 4th through 6th grades (N = 394). Participants were asked to choose the larger value for 24 fraction pairs blocked by fraction type. Latent class analysis of performance over item…
Descriptors: Elementary School Mathematics, Elementary School Students, Intermediate Grades, Fractions
Weber, William B., Jr. – Focus on Learning Problems in Mathematics, 1999
Discusses overall mental computation achievement and limits discussion to strategies middle school students used when computing with whole numbers, decimals, and fractions. Suggests that the development of conceptual knowledge of numbers is an important prerequisite for the understanding of mental computation procedures. (Contains 31 references.)…
Descriptors: Cognitive Processes, Computation, Decimal Fractions, Fractions

Pepper, Kristine L.; Hunting, Robert P. – Journal for Research in Mathematics Education, 1998
Examines strategies used by preschool children to subdivide items and focuses on how counting and sharing relate to one another. Indicates that children exhibited alternative strategies--suggesting use of a recipient as a mental cycle-marker and an adjacent recipient strategy--with pauses between allocations suggesting a re-presentation of lots…
Descriptors: Computation, Fractions, Learning Strategies, Mathematics Education

Steffe, Leslie P.; Olive, John – Arithmetic Teacher, 1991
Discusses research findings that relate to teaching fractions for conceptual understanding. Gives teacher/student dialogues that illustrate the thought processes of students as they form part-whole and improper fraction concepts. (MDH)
Descriptors: Classroom Environment, Cognitive Processes, Concept Formation, Elementary Education
Davydov, V. V., Ed. – 1991
This is volume 6 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. This book contains both a theoretical examination of the connection between instruction and the development of children, and experimental data on a definite…
Descriptors: Algebra, Arithmetic, Cognitive Development, Concept Formation
James Madison Univ., Harrisonburg, VA. Workforce Improvement Network. – 2002
This guide presents math-focused learning projects and accompanying inquiry activities to help students pass the math portion of the GED 2002. It is Volume 2 of a proposed four-volume series; Volume 1 describing the concept of the GED as project is also available. Section 1 relates GED as project to the math portion of the GED and explains how…
Descriptors: Adult Education, Algebra, Classroom Techniques, Cognitive Style