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Agaliotis, Ioannis; Teli, Afroditi – Journal of Education and Learning, 2016
The effectiveness of two instructional interventions was investigated in the context of teaching Arithmetic Combinations (ACs) of multiplication and division to students with Learning Disabilities (LD) or Mild Intellectual Disability (MID). The intervention for the control group (LD = 20, MID = 10) was based on principles of effective instruction,…
Descriptors: Teaching Methods, Mathematics Instruction, Learning Disabilities, Mild Intellectual Disability
Chesney, Dana L.; McNeil, Nicole M. – Journal of Problem Solving, 2014
Many children in the U.S. initially come to understand the equal sign operationally, as a symbol meaning "add up the numbers" rather than relationally, as an indication that the two sides of an equation share a common value. According to a change-resistance account (McNeil & Alibali, 2005b), children's operational ways of thinking…
Descriptors: Thinking Skills, Arithmetic, Undergraduate Students, Interference (Learning)
Ploger, Don; Hecht, Steven – Childhood Education, 2012
Although learning mathematics certainly depends upon accurate understanding of the facts of multiplication, it requires much more. This study examines the relationship between a meaningful understanding of arithmetic operations and the mastery of basic facts. The study began with a joke about a mistaken mathematical fact. The children appreciated…
Descriptors: Arithmetic, Memory, Multiplication, Mathematics
Lee, Jae Ki; Licwinko, Susan; Taylor-Buckner, Nicole – Journal of Mathematics Education at Teachers College, 2013
PEMDAS is a mnemonic device to memorize the order in which to calculate an expression that contains more than one operation. However, students frequently make calculation errors with expressions, which have either multiplication and division or addition and subtraction next to each other. This article explores the mathematical reasoning of the…
Descriptors: Case Studies, Mathematics, Mathematics Instruction, Mathematical Logic
De Smedt, Bert; Boets, Bart – Neuropsychologia, 2010
The triple-code model, cognitive neuroimaging and developmental behavioral data suggest a specific association between phonological processing and arithmetic fact retrieval. Accordingly, individuals with deficits in phonological processing, such as individuals with developmental dyslexia, are expected to show difficulties in arithmetic fact…
Descriptors: Phonology, Dyslexia, Phonological Awareness, Subtraction
Rule, Audrey C., Ed.; Hallagan, Jean E., Ed. – Online Submission, 2006
Background: Multiplication and division by fractions are among the most troublesome concepts in the elementary mathematics curriculum. Recent studies have shown that preservice elementary teachers in the United States do not have deep understandings of these concepts. Effective ways to improve preservice teachers' conceptual understanding of these…
Descriptors: Matched Groups, Equations (Mathematics), Pretests Posttests, Research Design