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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
Fouryza, Darin; Amin, Siti Maghfirotun; Ekawati, Rooselyna – International Journal of Evaluation and Research in Education, 2019
This paper dealt with the design of learning tools, that was the development of learning implementation plan or Rencana Pelaksanaan Pembelajaran (RPP) based on Fun and Easy Math (FEM) approach in the form of a number line model. FEM was an approach in order to teach mathematics effectively to students in a fun and easy way according to the…
Descriptors: Lesson Plans, Numbers, Mathematics Instruction, Teaching Methods
Hwang, Sunghwan; Yeo, Sheunghyun; Son, Taekwon – International Electronic Journal of Elementary Education, 2021
Developing textbooks of optimal quality is crucial for enriching the students' learning and understanding. This study examined fraction addition and subtraction problems in the U.S. and South Korean mathematics textbooks according to the types of denominators. In particular, we investigated Everyday Mathematics (EM) and South Korean mathematics…
Descriptors: Fractions, Addition, Subtraction, Textbook Content
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
Lamb, Lisa A.; Bishop, Jessica Pierson; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Journal for Research in Mathematics Education, 2018
In a cross-sectional study, 160 students in Grades 2, 4, 7, and 11 were interviewed about their reasoning when solving integer addition and subtraction open-number-sentence problems. We applied our previously developed framework for 5 Ways of Reasoning (WoRs) to our data set to describe patterns within and across participant groups. Our analysis…
Descriptors: Problem Solving, Grade 2, Grade 4, Grade 7
Torbeyns, Joke; Verschaffel, Lieven – European Journal of Psychology of Education, 2016
This study analyzed children's use of mental computation strategies and the standard algorithm on multi-digit subtractions. Fifty-eight Flemish 4th graders of varying mathematical achievement level were individually offered subtractions that either stimulated the use of mental computation strategies or the standard algorithm in one choice and two…
Descriptors: Mental Computation, Mathematical Logic, Subtraction, Grade 4
Torbeyns, Joke; Peters, Greet; De Smedt, Bert; Ghesquière, Pol; Verschaffel, Lieven – British Journal of Educational Psychology, 2016
Background: In the last decades, children's understanding of mathematical principles has become an important research topic. Different from the commutativity and inversion principles, only few studies have focused on children's understanding of the addition/subtraction complement principle (if a - b = c, then c + b = a), mainly relying on verbal…
Descriptors: Elementary School Students, Grade 3, Grade 4, Elementary School Mathematics
Robinson, Katherine M.; Dube, Adam K. – Learning and Individual Differences, 2013
This study investigated the promotion of children's understanding and acquisition of arithmetic concepts and the effects of inhibitory skills. Children in Grades 3, 4, and 5 solved two sets of three-term addition and subtraction problems (e.g., 3 + 24 - 24, 3 + 24 - 22) and completed an inhibition task. Half of the participants received a…
Descriptors: Mathematical Concepts, Addition, Subtraction, Inhibition
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
Flores, Margaret M.; Franklin, Toni M. – Journal of the American Academy of Special Education Professionals, 2014
The Common Core State Standards (2010) involve the demonstration of conceptual knowledge of numbers and operations. For students who struggle with mathematics and have not responded to instruction, it is important that interventions emphasize this understanding. In order to address conceptual understanding of numbers and operations in meeting the…
Descriptors: Mathematics Instruction, Multiplication, Special Education, Special Education Teachers
Rockwell, Sarah B.; Griffin, Cynthia C.; Jones, Hazel A. – Focus on Autism and Other Developmental Disabilities, 2011
The purpose of this study was to provide preliminary results on the use of schema-based strategy instruction to teach addition and subtraction word problem solving to a fourth grade student with autism. The student was taught to use schematic diagrams to solve three types of addition and subtraction word problems. A multiple probes across…
Descriptors: Autism, Word Problems (Mathematics), Grade 4, Subtraction
Murata, Aki; Bofferding, Laura; Pothen, Bindu E.; Taylor, Megan W.; Wischnia, Sarah – Journal for Research in Mathematics Education, 2012
This study investigated how elementary teachers in a mathematics lesson study made sense of student learning, teaching, and content, as related to using representations in teaching multidigit subtraction, and how changes occurred over time in their talk and practice. The lesson-study process paved a group talk path along which teacher talk shifted…
Descriptors: Professional Development, Academic Achievement, Mathematics, Mathematics Instruction
Robinson, Katherine M.; Dube, Adam K. – Journal of Experimental Child Psychology, 2009
After the onset of formal schooling, little is known about the development of children's understanding of the arithmetic concepts of inversion and associativity. On problems of the form a+b-b (e.g., 3+26-26), if children understand the inversion concept (i.e., that addition and subtraction are inverse operations), then no calculations are needed…
Descriptors: Grade 2, Grade 3, Grade 4, Subtraction
Common Core State Standards Initiative, 2011
For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…
Descriptors: Mathematics Curriculum, Mathematics Education, State Standards, Mathematics Achievement
Sarrazy, Bernard – European Journal of Psychology of Education, 2002
How can it be explained that, aside from inter-individual differences, pupils in certain classes are more responsive than others to the formal aspects of a problem that has been set? The author puts forward the hypothesis that teachers differ in their ability to operate relevant variations in the conception of problems. The differences in…
Descriptors: Didacticism, Subtraction, Cognitive Processes, Problem Solving