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Özkan, Ayten; Arikan, Elif Esra; Özkan, Erdogan Mehmet – Universal Journal of Educational Research, 2018
Visualization is an effective method for students to internalize concepts and to establish correlations between concepts. Visualization method is especially more important in mathematics which is perceived as the combination of abstract concepts. In this study, whether 6th grade students can solve questions about "Fractions" by using…
Descriptors: Visualization, Grade 6, Problem Solving, Fractions
West, John – Australian Primary Mathematics Classroom, 2018
The author showcases a number of readily available and affordable resources that may be used in mathematics classrooms to provide students with concrete learning experiences. Resources, alone, do not provide educational experiences unless they are accompanied by appropriate teaching to ensure rich and connected learning experiences.
Descriptors: Mathematics Instruction, Manipulative Materials, Teaching Methods, Fractions
Tian, Jing; Siegler, Robert S. – Educational Psychology Review, 2018
Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children's…
Descriptors: Mathematics Instruction, Numbers, Numeracy, Fractions
Lemonidis, Charalampos; Tsakiridou, Helen; Meliopoulou, Ioanna – International Journal of Science and Mathematics Education, 2018
The purpose of the present study is to examine content knowledge (CK) and pedagogical content knowledge (PCK) of Greek teachers in number sense and specifically in mental calculations with rational numbers (fractions, decimals and percentages). Examined within the framework of CK were the type of strategies employed by teachers and the extent of…
Descriptors: Foreign Countries, Pedagogical Content Knowledge, Mathematics Instruction, Numbers
Scofield, John E.; Hoard, Mary K.; Nugent, Lara; LaMendola V, Joseph; Geary, David C. – Journal of Cognition and Development, 2021
Pre-algebra mathematical competencies were assessed for a large and diverse sample of sixth graders (n = 1,926), including whole number and fractions arithmetic, conceptual understanding of equality and fractions magnitudes, and the fractions number line. The goal was to determine if there were clusters of students with similar patterns of…
Descriptors: Mathematics Instruction, Mathematics Skills, Adolescents, Competence
Eriksson, Helena; Sumpter, Lovisa – Educational Studies in Mathematics, 2021
This study examines the collective mathematical reasoning when students and teachers in grades 3, 4, and 5 explore fractions derived from length comparisons, in a task inspired by the Elkonin and Davydov curriculum. The analysis showed that the mathematical reasoning was mainly anchored in mathematical properties related to fractional or algebraic…
Descriptors: Fractions, Mathematics Skills, Thinking Skills, Algebra
Barbosa, Ana; Vale, Isabel – Education Sciences, 2021
This article discusses the importance of visual models in problem solving, in the scope of rational numbers. We seek to highlight the potential of this approach, as a structuring theme in the mathematical development of students in elementary education and the connections it allows to establish. In order for students to be mathematically competent…
Descriptors: Problem Solving, Mathematics Instruction, Elementary School Teachers, Fractions
Jeannotte, Doris; Corriveau, Claudia – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
This study investigates the use of manipulatives by elementary students working on a fraction task. Extending previous work on the role played by the manipulatives in students' activity, we aim at describing how the choices made for the task design disrupt students' activity, creating opportunities to learn. The theoretical underpinnings allow…
Descriptors: Fractions, Instructional Materials, Mathematics Instruction, Teaching Methods
Wilkie, Karina J.; Roche, Anne; Giannopoulos, James – Australian Primary Mathematics Classroom, 2022
In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…
Descriptors: Fractions, Mathematics Instruction, Mathematical Concepts, Teaching Methods
A Cross-National Comparison of Fourth and Eighth Grade Students' Understanding of Fraction Magnitude
Ayieko, Rachel Angela; Moreano, Giovanna; Harter, Lauren – International Electronic Journal of Mathematics Education, 2022
Without a conceptual understanding of fraction magnitude, students have difficulties understanding more advanced mathematics in high school and beyond. The purpose of this study is to highlight 4th and 8th grade students' misconceptions in fraction magnitude using the Trends in International Mathematics and Science Study 2015 data. The study is…
Descriptors: Elementary School Students, Middle School Students, Mathematical Concepts, Fractions
Pratt, Catherine; Chojnacki, Greg; Conroy, Kara – Mathematica, 2023
Cignition delivers virtual tutoring in math and ELA, led by experienced educators. Their approach focuses on data-informed instruction and collaborative learning that encourages student-to-student interaction to build students' conceptual understanding. After a 2020 efficacy study of its 1:1 math tutoring offering, Cignition developed a group…
Descriptors: Mathematics Instruction, Cooperative Learning, Costs, Educational Quality
Bütüner, Suphi Önder – International Journal of Mathematical Education in Science and Technology, 2020
This study has compared Turkish and Singaporean textbooks with respect to the instructional content of the unit on division in fractions, which is a challenging topic for many students. Two Turkish textbooks were compared against two Singaporean books, "My Pals Are Here" and "Targeting Mathematics." In Turkish and Singaporean…
Descriptors: Comparative Education, Cross Cultural Studies, Textbooks, Mathematics Instruction
Verdun, Victoria R.; Chiasson, Brittany A.; Fienup, Daniel M. – Journal of Behavioral Education, 2020
Little research has examined the intersection of derived relations and observational learning, which may be an avenue by which an instructor can increase the total amount of learning while conserving instructional resources. In this study, we investigated this intersection in the context of teaching third-grade students…
Descriptors: Grade 3, Elementary School Students, Fractions, Mathematical Concepts
Wong, Terry Tin-Yau – British Journal of Educational Psychology, 2019
Background: While it has been widely demonstrated that children's and adolescents' understanding of rational number plays an important role in their mathematics achievement, we have limited knowledge about the cognitive correlates of this understanding. Aims: The current study aimed at examining whether children's non-symbolic ratio processing and…
Descriptors: Mathematics Skills, Knowledge Level, Mathematical Concepts, Fractions
Crawford, Lindy; Freeman, Barbara; Huscroft-D'Angelo, Jacqueline; Quebec Fuentes, Sarah; Higgins, Kristina N. – Learning Disability Quarterly, 2019
Interventions are implemented with greater fidelity when their core intent is made explicit. The core intent of this intervention was to increase access to higher order learning opportunities for students with learning disabilities or difficulties in mathematics through use of research and practice from the fields of special education and…
Descriptors: Fidelity, Program Implementation, Learning Disabilities, Intervention