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Powell, Sarah R.; Akther, Syeda Sharjina; Yoon, Na Young; Berry, Katherine A.; Nemcek, Carmen; Fall, Anna-Maria; Roberts, Greg – Learning Disabilities Research & Practice, 2023
This study examined the influence of addition and subtraction practice embedded within a word-problem intervention for Grade 3 students experiencing word-problem difficulty. Students (N = 448) were randomly assigned to one of two variants of a word-problem intervention or a business-as-usual comparison condition. Within the word-problem…
Descriptors: Addition, Subtraction, Arithmetic, Grade 3
Tzur, Ron; Johnson, Heather Lynn; Norton, Anderson; Davis, Alan; Wang, Xin; Ferrara, Michael; Harrington, Cody; Hodkowski, Nicola Mercedes – Cognition and Instruction, 2021
We examine a hypothesis implied by Steffe's constructivist model of children's numerical reasoning: a child's "spontaneous" additive strategy may relate to a foundational form of multiplicative reasoning, termed multiplicative double counting (mDC). To this end, we mix quantitative and qualitative analyses of 31 fourth graders' responses…
Descriptors: Constructivism (Learning), Mathematics Skills, Elementary School Students, Grade 4
Dogan, Adem; Sir, Havva Kevser Yildirim – Journal of Education and Learning (EduLearn), 2022
One of the most fundamental subjects of primary school mathematics, the concept of fraction plays a key role in students' educational background. Students experience difficulties and misconceptions regarding this concept. Therefore, it is of great importance to understand this subject well and to use different teaching methods and techniques.…
Descriptors: Elementary School Students, Grade 4, Fractions, Computation
Poloczek, Sebastian; Hammerstein, Svenja; Büttner, Gerhard – Journal of Numerical Cognition, 2022
Being able to perform computational estimations efficiently is an important skill. Furthermore, computational estimation experiments are used to study general principles in strategy development. Rounding strategies are common in computational estimation. However, little is known about whether and when children use a mixed-rounding strategy (i.e.,…
Descriptors: Children, Learning Strategies, Mathematics Skills, Computation
Kelly-Ann Gesuelli; Nancy C. Jordan – Journal of Educational Psychology, 2024
Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…
Descriptors: Fractions, Arithmetic, Error Patterns, Mathematics Instruction
Alnajashi, Sumyah – Journal of Cognitive Education and Psychology, 2021
This study aims to examine the differences in numerosity estimation on a right-to-left number line between second- to fourth-grade students and undergraduate students, together with whether number-line estimation is related to basic arithmetic tasks (addition and subtraction). Hence, 53 Arabic-speaking children and 63 Arabic-speaking adults…
Descriptors: Computation, Grade 2, Grade 3, Grade 4
Quane, Kate; Brown, Leni – Australian Primary Mathematics Classroom, 2022
Mathematics educators and researchers have advocated for the use of manipulatives to teach mathematics for decades. The purpose of this article is to provide illustrative uses of a readily available manipulative rather than a complete list. From an Australian perspective, Pop-it fidget toys can be used across the mathematics curriculum. This paper…
Descriptors: Mathematics Instruction, Toys, Manipulative Materials, Foreign Countries
Shih, Shu-Chuan; Kuo, Bor-Chen; Lee, Shu-Juan – Educational Psychology, 2019
This study established an online game-based assessment to explore third and fourth graders' performance of computational estimation in addition and subtraction. Students' computational estimation strategies could be automatically recorded and classified in this assessment, and the Higher-Order DINA model was used as a measurement model in order to…
Descriptors: Grade 3, Grade 4, Elementary School Students, Computation
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
Schumacher, Robin F.; Malone, Amelia S. – Elementary School Journal, 2017
The goal of this study was to describe fraction-calculation errors among fourth-grade students and to determine whether error patterns differed as a function of problem type (addition vs. subtraction; like vs. unlike denominators), orientation (horizontal vs. vertical), or mathematics-achievement status (low-, average-, or high-achieving). We…
Descriptors: Error Patterns, Mathematics Instruction, Computation, Mathematics Achievement
Schumacher, Robin F.; Malone, Amelia S. – Grantee Submission, 2017
The goal of the present study was to describe fraction-calculation errors among 4th-grade students and determine whether error patterns differed as a function of problem type (addition vs. subtraction; like vs. unlike denominators), orientation (horizontal vs. vertical), or mathematics-achievement status (low- vs. average- vs. high-achieving). We…
Descriptors: Error Patterns, Mathematics Instruction, Computation, Mathematics Achievement
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
Geary, David C.; Nicholas, Alan; Li, Yaoran; Sun, Jianguo – Journal of Educational Psychology, 2017
The contributions of domain-general abilities and domain-specific knowledge to subsequent mathematics achievement were longitudinally assessed (n = 167) through 8th grade. First grade intelligence and working memory and prior grade reading achievement indexed domain-general effects, and domain-specific effects were indexed by prior grade…
Descriptors: Longitudinal Studies, Mathematics Achievement, Knowledge Level, Developmental Stages
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