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Martinez, Silvia; Blanco, Vanessa – Education Sciences, 2021
The aim of this work is to study the knowledge that 11 to 12-year-old pupils have about the different meanings of fractions. For this purpose, an investigation about the ability that 11 to 12-year-old pupils have with fraction problems through problem posing is performed. In particular, we analyze if they pose different types of problems depending…
Descriptors: Problem Solving, Fractions, Mathematics Instruction, Elementary School Students
Stelzer, Florencia; Richard's, María M.; Andrés, María Laura; Vernucci, Santiago; Introzzi, Isabel – Educational Psychology, 2021
Competence with fractions is important for learning more advanced mathematics. The present study examined the predictive value of sustained attention, verbal and visuospatial working memory, cognitive flexibility, fluid intelligence, multiplication and division abilities for fraction knowledge in fifth grade. Participants were 97 elementary school…
Descriptors: Cognitive Processes, Mathematics Skills, Prediction, Fractions
Kartal, Aygül; Pirasa, Nimet – Education Quarterly Reviews, 2022
This study revealed the fractional number sense form associated with daily life and the number sense of 8th-grade students with high academic success. This study aimed to determine fractional number sense which in eighth graders with high academic performance. This study has a qualitative patterned. The sample consisted of 20 students from the…
Descriptors: Fractions, Number Concepts, Grade 8, High Achievement
Tupouniua, John Griffith – International Journal of Mathematical Education in Science and Technology, 2022
A growing emphasis on computational thinking worldwide necessitates student proficiency in creating algorithms. Focusing on the use of counterexamples for developing student-invented algorithms, I reanalyze two pieces of data from previously published research, pertaining to two different cases of students' algorithmatizing activity. In both…
Descriptors: Computation, Thinking Skills, Mathematics, Logical Thinking
Di Lonardo Burr, Sabrina M.; Xu, Chang; Li, Hongxia; Si, Jiwei; LeFevre, Jo-Anne; Wang, Yangyang – British Journal of Educational Psychology, 2022
Background: Mapping fraction symbols to magnitudes is easier for students to master than comparing fraction magnitudes. Fraction mapping assesses students' understanding of part-whole interpretations of fractions; fractions represent the parts of an object or set of objects. Fraction comparison assesses students' understanding of measurement…
Descriptors: Fractions, Mathematics Skills, Mathematics, Elementary School Students
Castillo, Jorge Rincón; Hurtado, Orlando García; Parra, Edinson Caicedo – Journal of Language and Linguistic Studies, 2022
This article aims to show some activities based on non-routine problems with different levels of difficulty and from different classes that are integrated into the curriculum, additionally two spaces were opened for students to interact with recreational mathematics activities with the purpose of providing opportunities to all students access the…
Descriptors: Learning Activities, Mathematics Activities, Mathematical Concepts, Concept Formation
Purnomo, Yoppy Wahyu; Pasri; Aziz, Tian Abdul; Shahrill, Masitah; Prananto, Irfan Wahyu – Journal on Mathematics Education, 2022
In the body of knowledge in mathematics education research, fractions are one of the researchers' concerns. The reason is because fractions are very difficult for students to understand. This study explores elementary school students' knowledge and obstacles in dealing with the multiplication of fractions. This study employs descriptive…
Descriptors: Fractions, Multiplication, Concept Formation, Knowledge Level
Jarrah, Adeeb M.; Almassri, Haneen; Johnson, Jason D.; Wardat, Yousef – EURASIA Journal of Mathematics, Science and Technology Education, 2022
The United Arab Emirates' vision of the 2021 National agenda aimed that its students rank among the best in the world in mathematics and the sciences. However, fractions remain a challenging topic for both teachers and students. The purpose of this study was to investigate the impact of using digital games-based learning (ABACUS) on students'…
Descriptors: Video Games, Game Based Learning, Mathematics Achievement, Fractions
Amelia M. Farid – ProQuest LLC, 2022
Mathematical definitions are central to learning and doing mathematics. Research has uncovered significant differences between how mathematicians and non-mathematicians construct, reason about, and refine mathematical definitions. Various strands of research provide insight into the development of definitional practices, yet an integrated approach…
Descriptors: Undergraduate Students, Definitions, College Mathematics, Humanities
Empson, Susan Baker; Jacobs, Victoria R.; Jessup, Naomi A.; Hewitt, Amy; Pynes, D'Anna; Krause, Gladys – Mathematics Teacher: Learning and Teaching PK-12, 2020
The complexity of understanding unit fractions is often underappreciated in instruction. We introduce a continuum of children's understanding of unit fractions to explore this complexity and to help teachers make sense of children's strategies and recognize milestones in the development of unit-fraction understanding. Suggestions for developing…
Descriptors: Fractions, Mathematics Instruction, Elementary School Mathematics, Comprehension
Barahmand, Ali – For the Learning of Mathematics, 2020
Learning the concept of fractions is among the most challenging topics in school mathematics. One of the main sources of difficulties in learning fractions is related to "natural number bias" (Van Hoof, Verschaffel & Van Dooren, 2015). Applying properties of the natural numbers incorrectly in situations involving rational numbers can…
Descriptors: Mathematics Instruction, Fractions, Number Concepts, Numbers
Starr, Ariel; Leib, Elena R.; Younger, Jessica W.; Project iLead Consortium; Uncapher, Melina R.; Bunge, Silvia A. – Developmental Science, 2023
Relational thinking, the ability to represent abstract, generalizable relations, is a core component of reasoning and human cognition. Relational thinking contributes to fluid reasoning and academic achievement, particularly in the domain of math. However, due to the complex nature of many fluid reasoning tasks, it has been difficult to determine…
Descriptors: Thinking Skills, Executive Function, Task Analysis, Mathematics Skills
Norton, Anderson; Ulrich, Catherine; Kerrigan, Sarah – Journal for Research in Mathematics Education, 2023
This article introduces unit transformation graphs (UTGs) as a tool for diagramming the ways students use sequences of mental actions to solve mathematical tasks. We report findings from a study in which we identified patterns in the ways preservice elementary school teachers relied on working memory to coordinate mental actions when operating in…
Descriptors: Graphs, Fractions, Short Term Memory, Preservice Teachers
Taylor Lesner; Ben Clarke; Derek Kosty; Nancy Nelson; Leanne Ketterlin-Geller; Keith Smolkowski – Grantee Submission, 2023
This study explored whether initial skill moderated outcomes of Promoting Algebra Readiness, a Tier 2 sixth grade mathematics intervention targeting conceptual and procedural knowledge of fractions. The study analyzed data from a quasi-experimental pilot study in which at-risk students (n = 198) were assigned to the treatment or control condition…
Descriptors: Mathematics Skills, Mathematics Instruction, Grade 6, Fractions
Taylor Lesner; Ben Clarke; Derek Kosty; Nancy Nelson; Leanne Ketterlin-Geller; Keith Smolkowski – Learning Disability Quarterly, 2023
This study explored whether initial skill moderated outcomes of Promoting Algebra Readiness, a Tier 2 sixth-grade mathematics intervention targeting conceptual and procedural knowledge of fractions. The study analyzed data from a quasi-experimental pilot study in which at-risk students (N = 198) from Oregon middle schools were assigned to the…
Descriptors: Mathematics Skills, Mathematics Instruction, Grade 6, Fractions