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David W. Braithwaite; Anna N. Rafferty – Cognitive Science, 2025
Math problem solving frequently involves choices among alternative strategies. Strategy choices, and effects of problem features on strategy choices, both vary among individuals. We propose that individual differences in strategy choices can be well characterized in terms of parametric variation in three types of influence: global bias, relevant…
Descriptors: Individual Differences, Fractions, Arithmetic, Problem Solving
Colleen O'Donnell Oppenzato – ProQuest LLC, 2024
Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…
Descriptors: Fractions, Arithmetic, Mathematics Instruction, Comparative Analysis
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Cecilia Björkhammer; Joakim Samuelsson; Ulf Träff; Rickard Östergren – Scandinavian Journal of Educational Research, 2024
The intention of the study was to examine the effects of a fraction intervention in a whole-class environment. The intervention aimed to enhance students' conceptual fraction knowledge, with a major focus on fraction magnitude understanding. This study included 120 fifth-grade students in standard classroom settings. Utilizing a cluster randomized…
Descriptors: Mathematics Instruction, Intervention, Fractions, Knowledge Level
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Bustamante, Andres S.; Begolli, Kreshnik Nasi; Alvarez-Vargas, Daniela; Bailey, Drew H.; Richland, Lindsey Engle – Journal of Educational Psychology, 2022
This study tested a novel approach to capitalizing on the benefits of play for informal math learning. Two experiments evaluated a platform called "Fraction Ball," that provides an embodied, playful, and physically active learning experience by modifying the lines on a basketball court to support rational number learning. In the Pilot…
Descriptors: Play, Physical Activities, Fractions, Arithmetic
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Nabil Kamal Al Farra; Shashidhar Belbase; Hassan Tairab; Ahmad Qablan; Maxwell Peprah Opoku; Samir K. Safi – Cogent Education, 2024
Fraction is considered one of the main topics in mathematics in the early years. Many students struggle to progress in fractions in the classrooms and on exams. Teaching strategies are among the most important factors affecting student learning of fractions. The objective of this study was to examine the effectiveness of virtual and concrete…
Descriptors: Foreign Countries, Elementary School Mathematics, Elementary School Students, Elementary School Teachers
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Copur-Gencturk, Yasemin – International Journal of Science and Mathematics Education, 2022
This article explores three attributes of teachers' understanding of fraction magnitude: the accuracy and reasonableness of teachers' estimations in response to fraction arithmetic tasks as well as the alignment of the estimation strategies they used with the concept of fraction magnitude. The data were collected from a national sample of…
Descriptors: Mathematics Teachers, Knowledge Level, Fractions, Mathematical Concepts
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Hariyani, Mimi; Herman, Tatang; Suryadi, Didi; Prabawanto, Sufyani – International Journal of Educational Methodology, 2022
This research aims to explore students' learning obstacles in solving fraction problems in elementary school. This qualitative research used a case study method. The research subjects involved 30 third-grade elementary school students from two different schools in Bandung City, Indonesia. The instruments utilized were test and non-test. The test…
Descriptors: Barriers, Fractions, Problem Solving, Mathematics Instruction
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Wang, Yunqi; Siegler, Robert S. – Developmental Psychology, 2023
We examined the development of numerical magnitude representations of fractions and decimals from fourth to 12th grade. In Experiment 1, we assessed the rational number magnitude knowledge of 200 Chinese fourth, fifth, sixth, eighth, and 12th graders (92 girls and 108 boys) by presenting fraction and decimal magnitude comparison tasks as well as…
Descriptors: Elementary School Students, Secondary School Students, Grade 4, Grade 5
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Rodney Nillsen – Australian Mathematics Education Journal, 2024
Equal representation as a social issue is about the participation of one social group, in a particular context, in proportion to the numbers in the group within the total population. The proportion of women in parliament, and of the participation rate of students of lower socioeconomic status in higher education, are examples. The aims of this…
Descriptors: Social Problems, Disproportionate Representation, Foreign Countries, Mathematics Education
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Al Farra, Nabil Kamal; Al Owais, Najla Sultan; Belbase, Shashidhar – Mathematics Teaching Research Journal, 2022
The purpose of this study was to analyze the problem-solving techniques that students in a fifth-grade classroom applied while solving mathematical word problems. Fifth-grade students in a private school with Ministry of Education curricula in Al Ain, Abu Dhabi, were given a set of 15-word problems to solve with detailed justifications. The…
Descriptors: Foreign Countries, Mathematics Instruction, Problem Solving, Word Problems (Mathematics)
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González-Forte, Juan Manuel; Fernández, Ceneida; Van Hoof, Jo; Van Dooren, Wim – Mathematical Thinking and Learning: An International Journal, 2022
Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…
Descriptors: Mathematics Instruction, Teaching Methods, Case Studies, Arithmetic
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Vessonen, Terhi; Hakkarainen, Airi; Väisänen, Eija; Laine, Anu; Aunio, Pirjo; Gagnon, Joseph Calvin – Investigations in Mathematics Learning, 2021
Fraction knowledge has been found to predict later mathematical performance, but many students have difficulty with fractions. Virtual manipulatives (VM) and concrete manipulatives (CM) are effective approaches to teaching fractions, but previous research has not been able to reach a consensus on which manipulatives are the most effective. This…
Descriptors: Foreign Countries, Fractions, Mathematics Instruction, Manipulative Materials
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Resnick, Ilyse; Rinne, Luke; Barbieri, Christina; Jordan, Nancy C. – Journal of Educational Psychology, 2019
Reasoning about numerical magnitudes is a key aspect of mathematics learning. Most research examining the relation of magnitude understanding to general mathematics achievement has focused on whole number and fraction magnitudes. The present longitudinal study (N = 435) used a 3-step latent class analysis to examine reasoning about magnitudes on a…
Descriptors: Elementary School Students, Grade 4, Abstract Reasoning, Arithmetic
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Ennis, Robin Parks; Losinski, Mickey – Journal of Learning Disabilities, 2019
Many students fall below benchmarks in the area of fractions computation, particularly students with disabilities. Self-regulated strategy development (SRSD) is one strategy with proven effectiveness for improving outcomes for students with disabilities, although very few studies have applied SRSD to the area of mathematics. In this study, we used…
Descriptors: At Risk Students, Disabilities, Addition, Subtraction
Rodrigues, Jessica; Jordan, Nancy C.; Hansen, Nicole – Journal of Learning Disabilities, 2019
This study investigated the accuracy of three fraction measures (i.e., fraction number line estimation accuracy, general fraction concepts, and fraction arithmetic) for screening fourth graders who might be at risk for mathematics difficulties. Receiver operating characteristic (ROC) curve analyses assessed diagnostic accuracy of the fraction…
Descriptors: Fractions, Screening Tests, At Risk Students, Elementary School Students
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