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Whitacre, Ian – Journal of Mathematics Teacher Education, 2015
This study investigated the sets of mental computation strategies used by prospective elementary teachers to compute sums and differences of whole numbers. In the context of an intervention designed to improve the number sense of prospective elementary teachers, participants were interviewed pre/post, and their mental computation strategies were…
Descriptors: Preservice Teachers, Mental Computation, Elementary Education, Numbers
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Liu, Allison S.; Kallai, Arava Y.; Schunn, Christian D.; Fiez, Julie A. – Instructional Science: An International Journal of the Learning Sciences, 2015
Mathematical fluency is important for academic and mathematical success. Fluency training programs have typically focused on fostering retrieval, which leads to math performance that does not reliably transfer to non-trained problems. More recent studies have focused on training number understanding and representational precision, but few have…
Descriptors: Mental Computation, Mathematics Achievement, Mathematics Instruction, Transfer of Training
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Kuldas, Seffetullah; Sinnakaudan, Santi; Hashim, Shahabuddin; Ghazali, Munirah – Education 3-13, 2017
Although the early development of children's number sense is a strong predictor of their later mathematics achievements, it has been overlooked in primary schools in Malaysia. Mainly attributable to underdeveloped number sense of Malaysian primary and secondary school children, their inability to handle simple mathematics tasks, which require the…
Descriptors: Foreign Countries, Numbers, Elementary School Students, Elementary School Mathematics
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Whitacre, Ian; Nickerson, Susan D. – Journal of Mathematics Teacher Education, 2016
We report on interview results from a classroom teaching experiment in a Number and Operations course for prospective elementary teachers. Improving the number sense of this population is an important goal for mathematics teacher education, and researchers have found this goal to be difficult to accomplish. In earlier work, we devised a local…
Descriptors: Interviews, Elementary School Teachers, Preservice Teachers, Numbers
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Sinnakaudan, Santi; Kuldas, Seffetullah; Hashim, Shahabuddin; Ghazali, Munirah – International Journal for Mathematics Teaching and Learning, 2016
This review examines reasons for Malaysian pupils' underperformance in solving mathematics problems that demand numerical estimation and mental computation. Their underdeveloped number sense appears to be the major reason. According to the Ministry of Education, the national mathematics curriculum is unlikely to account for this underachievement.…
Descriptors: Foreign Countries, Mathematics Achievement, Numbers, Computation
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Tsao, Yea-Ling – Journal of College Teaching & Learning, 2004
The purpose of this study is to a) explore connections among number sense, mental computation performance and the written computation performance of elementary preservice school teachers; and b) explore the correlation among mental computation skills, computation skills, effect issues and number sense. The sample was composed of students in six…
Descriptors: Numeracy, Numbers, Computation, Mathematics Skills
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Norton, Stephen – International Journal for Mathematics Teaching and Learning, 2012
Pedagogical reform in Australia over the last few decades has resulted in a reduced emphasis on the teaching of computational algorithms and a diversity of alternative mechanisms to teach students whole number computations. The effect of these changes upon student recording of whole number computations has had little empirical investigation. As…
Descriptors: Mathematics, Numbers, Foreign Countries, Educational Change
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Sengul, Sare – Educational Sciences: Theory and Practice, 2013
The purpose of this study was to identify the use of number sense strategies by pre-service teachers studying at the department of elementary education. Compared to the previous one; new mathematics curriculum places more emphasis on various strategies such as estimation strategies, computational estimation strategies, rounding and mental…
Descriptors: Foreign Countries, Preservice Teachers, Elementary School Teachers, Numbers
Chick, Helen – Australian Primary Mathematics Classroom, 2009
Fluency with basic number facts is vital for students' progress in mathematics. Not only does it contribute to students' facility with mental computation and algorithms, but an understanding of numbers and their properties builds a foundation for future mathematical work including algebra. There are many activities that can help students "make…
Descriptors: Numbers, Mental Computation, Number Concepts, Elementary School Mathematics
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Sowder, Judith T. – Arithmetic Teacher, 1990
Discusses mental computation and how and when it should be taught. Describes seven properties of mental algorithms. (YP)
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics
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Tsang, Jessica M.; Blair, Kristen P.; Bofferding, Laura; Schwartz, Daniel L. – Cognition and Instruction, 2015
How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…
Descriptors: Neurological Organization, Mathematics Instruction, Numbers, Grade 4
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Kumar, S. Praveen; Raja, B. William Dharma – Journal on Educational Psychology, 2009
Not all children are made the same. Learning disabilities like dyslexia, dysgraphia or dyscalculia are either not understood or ignored in schools. As a result, the schoolchildren suffer for no fault of theirs and they lag behind in their course of learning. They may find it difficult to achieve the basic skills of learning such as reading,…
Descriptors: Visual Learning, Teaching Methods, Learning Disabilities, Computation
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Lafay, Anne; St-Pierre, Marie-Catherine; Macoir, Joël – Journal of Learning Disabilities, 2017
Numbers may be manipulated and represented mentally over a compressible number line oriented from left to right. According to numerous studies, one of the primary reasons for dyscalculia is related to improper understanding of the mental number line. Children with dyscalculia usually show difficulty when they have to place Arabic numbers on a…
Descriptors: Learning Disabilities, Grade 3, Elementary School Students, Foreign Countries
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Barth, Hilary; Baron, Andrew; Spelke, Elizabeth; Carey, Susan – Journal of Experimental Child Psychology, 2009
Recent studies have documented an evolutionarily primitive, early emerging cognitive system for the mental representation of numerical quantity (the analog magnitude system). Studies with nonhuman primates, human infants, and preschoolers have shown this system to support computations of numerical ordering, addition, and subtraction involving…
Descriptors: Numbers, Infants, Logical Thinking, Number Concepts
Khosroshahi, Leyla G.; Asghari, Amir H. – Australian Primary Mathematics Classroom, 2016
There is a call for enabling students to use a range of efficient mental and written strategies when solving addition and subtraction problems. To do so, students should recognise numerical structures and be able to change a problem to an equivalent problem. The purpose of this article is to suggest an activity to facilitate such understanding in…
Descriptors: Arithmetic, Addition, Subtraction, Problem Solving
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