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Showing 1 to 15 of 17 results Save | Export
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González-Forte, Juan Manuel; Fernández, Ceneida; Van Hoof, Jo; Van Dooren, Wim – Mathematical Thinking and Learning: An International Journal, 2022
Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…
Descriptors: Mathematics Instruction, Teaching Methods, Case Studies, Arithmetic
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Milton, Jessica H.; Flores, Margaret M.; Moore, Alexcia J.; Taylor, Ja'Lia J.; Burton, Megan E. – Learning Disability Quarterly, 2019
To meet increasingly complex mathematics standards in late elementary school, students must conceptually understand and be fluent in the operations of multiplication and division. This includes understanding the operations' inverse relation. The purpose of the study was to investigate the effects of alternating concrete-representational-abstract…
Descriptors: Multiplication, Arithmetic, Mathematics Instruction, Elementary School Mathematics
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Erdem, Emrullah – International Journal of Science and Mathematics Education, 2017
The current study examines the mental computation performance owned by students at fifth grade. This study was carried out with 118 fifth graders (11-12-year-olds) studying at 3 randomly selected primary schools that served low and middle socio-economic areas in a city of Turkey. "Mental Computation Test (MCT)" has been used to reach how…
Descriptors: Mental Computation, Grade 5, Elementary School Students, Foreign Countries
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Newton, Kristie J.; Willard, Catherine; Teufel, Christopher – Elementary School Journal, 2014
The purpose of this study was to better understand how students with learning disabilities, including those who struggle specifically with mathematics, engage with fraction computation. In particular, we examined error patterns, the influence of like and unlike denominators on these patterns, and correct solution methods. Although skill-related…
Descriptors: Learning Disabilities, Mathematics Instruction, Error Patterns, Influences
Corley, Andrew Kent – ProQuest LLC, 2013
The equipartitioning learning trajectory (Confrey, Maloney, Nguyen, Mojica & Myers, 2009) has been hypothesized and the proficiency levels have been validated through much prior work. This study solidifies understanding of the upper level of co-splitting, which has been redefined through further clinical interview work (Corley, Confrey &…
Descriptors: Learning Processes, Elementary School Students, Intermediate Grades, Educational Experiments
Otto, Albert; Caldwell, Janet; Hancock, Sarah Wallus; Zbiek, Rose Mary – National Council of Teachers of Mathematics, 2011
This book identifies and examines two big ideas and related essential understandings for teaching multiplication and division in grades 3-5. Big Idea 1 captures the notion that multiplication is usefully defined as a scalar operation. Problem situations modeled by multiplication have an element that represents the scalar and an element that…
Descriptors: Mathematics Education, Problem Solving, Mathematics Instruction, Elementary School Mathematics
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Prado, Jérôme; Mutreja, Rachna; Booth, James R. – Developmental Science, 2014
Mastering single-digit arithmetic during school years is commonly thought to depend upon an increasing reliance on verbally memorized facts. An alternative model, however, posits that fluency in single-digit arithmetic might also be achieved via the increasing use of efficient calculation procedures. To test between these hypotheses, we used a…
Descriptors: Hypothesis Testing, Numeracy, Arithmetic, Computation
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Shanty, Nenden Octavarulia; Hartono, Yusuf; Putri, Ratu Ilma Indra; de Haan, Dede – Indonesian Mathematical Society Journal on Mathematics Education, 2011
This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…
Descriptors: Foreign Countries, Grade 5, Elementary School Mathematics, Multiplication
Brickwedde, James – ProQuest LLC, 2011
The maturation of multiplicative thinking is key to student progress in middle school as rational number, ratio, and proportion concepts are encountered. But many students arrive from the intermediate grades and falter in developing this essential disposition. Elementary students have historically learned multiplication and division as operation…
Descriptors: Numbers, Scoring Rubrics, Intermediate Grades, Number Concepts
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Xin, Yan Ping; Si, Luo; Hord, Casey; Zhang, Dake; Cetinas, Suleyman; Park, Joo Young – Learning Disabilities: A Multidisciplinary Journal, 2012
The study explored the effects of a computer-assisted COnceptual Model-based Problem-Solving (COMPS) program on multiplicative word-problem-solving performance of students with learning disabilities or difficulties. The COMPS program emphasizes mathematical modeling with algebraic expressions of relations. Participants were eight fourth and fifth…
Descriptors: Learning Disabilities, Program Effectiveness, Teaching Methods, Problem Solving
Tzur, Ron; Xin, Yan Ping; Si, Luo; Kenney, Rachael; Guebert, Adam – Online Submission, 2010
This study addressed the problem of why students with learning disabilities in mathematics too often fail to develop multiplicative and divisional concepts/operations. We conducted a constructivist teaching experiment with 12 students (nine 5th and three 4th graders). This report focuses on three students' conceptual progress, particularly on…
Descriptors: Constructivism (Learning), Learning Disabilities, Grade 4, Mathematics Instruction
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Maheady, Larry; Gard, Jaime – Intervention in School and Clinic, 2010
Contemporary teachers need instructional practices that are (a) powerful enough to meet the needs of a rapidly diversifying student population, (b) feasible to implement on a classwide basis, and (c) socially acceptable to them and their pupils. Classwide peer tutoring (CWPT) is one such instructional practice. In addition to describing CWPT, its…
Descriptors: Curriculum Based Assessment, Personal Narratives, Peer Teaching, Educational Researchers
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Liu, Fuchang – School Science and Mathematics, 2009
Four hundred and three 3rd- and 5th-grade Chinese students took the Multiplication Estimation Test or participated in the interview on it, designed to assess their computational estimation performance on whole-number multiplication. Students perform better when tasks are presented visually than orally. Third graders tend to use rounding based…
Descriptors: Mental Computation, Grade 5, Grade 3, Arithmetic
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Quinn, Robert J.; Lamberg, Teruni D.; Perrin, John R. – Clearing House: A Journal of Educational Strategies, Issues and Ideas, 2008
Dividing by zero can be confusing for students at all levels. If teachers are to provide clear and understandable explanations of this topic, they must possess a strong conceptual understanding of it themselves. In this article, the authors present qualitative data on fourth- through eighth-grade teachers' perceptions of division by zero. They…
Descriptors: Concept Formation, Mathematics Instruction, Mathematics Teachers, Mathematical Concepts
Arizona Department of Education, 2009
Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…
Descriptors: Numeracy, Number Concepts, Grade 5, Mathematics Education
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