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Angelika Kullberg; Camilla Björklund; Ulla Runesson Kempe – Educational Studies in Mathematics, 2024
The decomposition of numbers when solving subtraction tasks is regarded as more powerful than counting-based strategies. Still, many students fail to solve subtraction tasks despite using decomposition. To shed light upon this issue, we take a variation theoretical perspective (Marton, 2015) seeing learning as a function of discerning critical…
Descriptors: Subtraction, Number Concepts, Grade 2, Elementary School Students
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Inés Gallego-Sánchez; Verónica Martín-Molina; Isabel Caro-Torró; José María Gavilán-Izquierdo – Education 3-13, 2025
Our work investigated how six primary school students used a non-traditional method for adding and subtracting: the ABN method, a Spanish acronym for Open (method) Based on Numbers. Commognitive theory [Sfard, A. 2008. "Thinking as Communicating: Human Development, the Growth of Discourses, and Mathematizing." New York: Cambridge…
Descriptors: Foreign Countries, Elementary School Students, Addition, Subtraction
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Lea Nemeth; Frank Lipowsky – European Journal of Psychology of Education, 2024
Interleaved practice combined with comparison prompts can better foster students' adaptive use of subtraction strategies compared to blocked practice. It has not been previously investigated whether all students benefit equally from these teaching approaches. While interleaving subtraction tasks prompts students' attention to the different task…
Descriptors: Prior Learning, Subtraction, Cognitive Processes, Difficulty Level
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Stijn Van Der Auwera; Bert De Smedt; Joke Torbeyns; Lieven Verschaffel – European Journal of Psychology of Education, 2024
In recent years, an increasing number of studies have examined the association between mathematical abilities and executive functions (EFs). However, it remains unknown via which mechanisms' mathematical performance is associated with EFs. The current study examined the associations of overall task proficiency, strategy selection, and strategy…
Descriptors: Executive Function, Decision Making, Subtraction, Mathematics Instruction
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Sitrava, Reyhan Tekin; Bostan, Mine Isiksal; Karpuzcu, Seçil Yemen – Electronic Journal for Research in Science & Mathematics Education, 2023
This qualitative case study investigates how, and to what extent, primary school teachers notice students' mathematical thinking in the context of whole number subtraction. A task involving a student's invented strategy was used to collect data. Three noticing questions connected to the task were asked to 45 teachers. Their written answers were…
Descriptors: Elementary School Teachers, Observation, Thinking Skills, Subtraction
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Hendra Kartika; Mega Teguh Budiarto; Yusuf Fuad; Lauren Jeneva Clark; Kim Jeonghyeon – Mathematics Teaching Research Journal, 2023
The objective of this study was to evaluate and characterize the argumentation patterns used by seventh-grade students in the context of algebraic addition and subtraction problems. A qualitative case study was conducted using the Claim-Evidence-Reasoning (CER) model (McNeill & Krajcik, 2008) and argument quality framework. To describe the…
Descriptors: Persuasive Discourse, Grade 7, Algebra, Addition
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Delia Leuenberger; Elisabeth Moser Opitz; Noemi Gloor – Journal of Numerical Cognition, 2024
Computation competence (CC) in simple addition and subtraction using non-counting (NC) strategies is an important learning objective in Grade 1 mathematics but many children, especially low achievers in mathematics, struggle to acquire these skills. To provide these students with the support they need, it is important to have valid and reliable…
Descriptors: Computation, Mathematics Skills, Addition, Subtraction
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Tinyiko Florence Sambo; Tshegofatso Phuti Makgakga – Research in Social Sciences and Technology, 2024
Word problem solving is an approach that can increase knowledge, improve performance and develop learners' critical thinking skills that can assist them in solving mathematical and real-life problems. This study examined the effectiveness of using a word problem solving approach to improve Grade 3 learners' performance when learning addition and…
Descriptors: Problem Solving, Mathematics Education, Addition, Subtraction
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Wessman-Enzinger, Nicole M.; Tobias, Jennifer M. – Journal of Mathematics Teacher Education, 2022
Elementary and middle school prospective teachers participated in semi-structured problem posing for integer addition and subtraction. The prospective teachers (n = 98) posed a variety of different stories, but this paper focuses on the temperature stories they posed. Results include descriptions of their posed temperature stories through the lens…
Descriptors: Preservice Teachers, Elementary School Teachers, Problem Solving, Addition
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Wong, Terry Tin-Yau; Kwan, Kam-Tai – Developmental Psychology, 2023
The relation to operands (RO) principles describe the relation between operands and answers in arithmetic problems (e.g., the sum is always larger than its positive addends). Despite being a fundamental property of arithmetic, its empirical relation with arithmetic/algebraic problem solving has seldom been investigated. The current longitudinal…
Descriptors: Mathematics Instruction, Arithmetic, Problem Solving, Algebra
Lauren Shapiro – ProQuest LLC, 2024
In 2 experiments, I studied the effects of an Equivalence Based Instruction (EBI) math intervention on the emergence of untaught selection responses and abstraction to production responses. In Experiment I, using a multiple baseline design, I implemented the EBI intervention among a group of 17 first grade participants with varying levels of math…
Descriptors: Mathematics Instruction, Intervention, Grade 1, Addition
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Angelika Kullberg; Camilla Björklund; Ulla Runesson Kempe; Irma Brkovic; Maria Nord; Tuula Maunula – Educational Studies in Mathematics, 2024
Learning to calculate with natural numbers by structuring seems promising but how this can be taught in a sustainable manner remains an open question. An eight-month-long intervention based on the idea of using a structural approach to addition and subtraction, and particularly bridging through ten, was implemented in four Swedish first-grade…
Descriptors: Student Improvement, Addition, Subtraction, Mathematics Instruction
SanGiovanni, John J.; Bay-Williams, Jennifer M.; Serrano, Rosalba – Corwin, 2021
Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematics Skills, Teaching Methods
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Hea-Jin Lee; Hee-Jeong Kim; Hyungmi Cho – Journal of Education for Teaching: International Research and Pedagogy, 2024
Teachers require support in developing the pedagogical skill of interpreting students' mathematical thinking and providing effective feedback that promotes learning. However, there is a lack of research assessing the quality of feedback based on teacher noticing in mathematics classes. This study analysed 20 preservice teachers' (PSTs) feedback…
Descriptors: Preservice Teachers, Teacher Education Programs, Mathematics Instruction, Feedback (Response)
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Erik Jacobson – Investigations in Mathematics Learning, 2024
This study used units coordination as a theoretical lens to investigate how whole number and fraction reasoning may be related for preservice teachers at the conclusion of a math methods class. The study contributes quantitative evidence that units coordination provides a common foundation for both mathematical knowledge for teaching whole number…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Instruction, Methods Courses
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