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Yorulmaz, Alper; Uysal, Hümeyra; Sidekli, Sabri – Journal of Education and Learning (EduLearn), 2021
The aim of the study was to determine the concepts that primary school fourth-grade students reveal with their mind maps related to four operations (addition, subtraction, multiplication, division) and to compare the mind map and achievement test scores. In the study, a mixed method was used in which quantitative and qualitative data were…
Descriptors: Concept Mapping, Concept Formation, Mathematical Concepts, Mathematics Achievement
David W. Braithwaite; Robert S. Siegler – Grantee Submission, 2021
Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…
Descriptors: Fractions, Addition, Middle School Mathematics, Middle School Students
David W. Braithwaite; Robert S. Siegler – Journal of Educational Psychology, 2021
Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…
Descriptors: Fractions, Addition, Middle School Mathematics, Middle School Students
Cengiz, Cemre; Aylar, Ebru; Yildiz, Esengül – International Electronic Journal of Elementary Education, 2018
This paper investigated the intuitive development of the concept of integers among primary school students. In order to reveal if primary school students had an intuitive sense of integers, an assessment consisting of five questions was prepared and applied to a total 100 4th grade students. A variety of integer concepts were utilized in the…
Descriptors: Intuition, Elementary School Students, Grade 4, Mathematics Instruction
Braithwaite, David W.; Tian, Jing; Siegler, Robert S. – Developmental Science, 2018
Many children fail to master fraction arithmetic even after years of instruction. A recent theory of fraction arithmetic (Braithwaite, Pyke, & Siegler, 2017) hypothesized that this poor learning of fraction arithmetic procedures reflects poor conceptual understanding of them. To test this hypothesis, we performed three experiments examining…
Descriptors: Fractions, Addition, Arithmetic, Hypothesis Testing
Braithwaite, David W.; Tian, Jing; Siegler, Robert S. – Grantee Submission, 2018
Many children fail to master fraction arithmetic even after years of instruction. A recent theory of fraction arithmetic (Braithwaite, Pyke, & Siegler, in press) hypothesized that this poor learning of fraction arithmetic procedures reflects poor conceptual understanding of them. To test this hypothesis, we performed three experiments…
Descriptors: Fractions, Addition, Arithmetic, Mathematics
Fuchs, Lynn S.; Malone, Amelia S.; Schumacher, Robin F.; Namkung, Jessica; Wang, Amber – Journal of Learning Disabilities, 2017
In this article, the authors summarize results from 5 randomized controlled trials assessing the effects of intervention to improve the fraction performance of fourth-grade students at risk for difficulty in learning about fractions. The authors begin by explaining the importance of competence with fractions and why an instructional focus on…
Descriptors: Randomized Controlled Trials, Intervention, Fractions, Mathematics Skills
Webb, Paula – Online Submission, 2017
Students with physical and health disabilities struggle with basic mathematical concepts. The purpose of this research study was to increase the students' mathematical computation skills through implementing new strategies and/or methods. The strategies implemented with the students was utilizing the ten-frame tiles and technology with the purpose…
Descriptors: Physical Disabilities, Mathematics Instruction, Mathematical Concepts, Teaching Methods
Devin's Construction of a Multiplicative Double Counting Scheme: Dual Anticipation of Start and Stop
Risley, Rachael; Hodkowski, Nicola M.; Tzur, Ron – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this case study with Devin (pseudonym), which was part of a larger, constructivist teaching experiment with students identified as having learning difficulties in mathematics, we examine how a fourth grader constructed a dual anticipation involved in monitoring when to start and when to stop the simultaneous count of composite units (numbers…
Descriptors: Case Studies, Constructivism (Learning), Teaching Methods, Grade 4
Phelps, Katherine A. G. – Teaching Children Mathematics, 2012
During the winter of 2011, the author faced an instructional dilemma: Should she teach the concept of adding and subtracting fractions with unlike denominators using a "quick trick" for the sake of staying on schedule, or should she try something different in hopes that her students would gain understanding through their own methods? The latter…
Descriptors: Mathematics Instruction, Grade 5, Mathematical Concepts, Elementary School Mathematics