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Chater, Nick; Oaksford, Mike – Cognitive Science, 2013
Judea Pearl has argued that counterfactuals and causality are central to intelligence, whether natural or artificial, and has helped create a rich mathematical and computational framework for formally analyzing causality. Here, we draw out connections between these notions and various current issues in cognitive science, including the nature of…
Descriptors: Causal Models, Intelligence, Cognitive Processes, Cognitive Science
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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
Barton, Bill, Ed.; Irwin, Kathryn C., Ed.; Pfannkuch, Maxine, Ed.; Thomas, Michael O. J., Ed. – 2002
This document contains the proceedings of the 25th annual conference of the Mathematics Education Research Group of Australia (MERGA) held at the University of Auckland, New Zealand. The focus of this meeting is mathematics education in the South Pacific. Presentations are centered around the topic of numeracy in primary or elementary school.…
Descriptors: Arithmetic, Curriculum Development, Elementary Secondary Education, Foreign Countries
Thompson, Ian – Mathematics Teaching, 2011
Ever since "mental arithmetic" was updated to "mental calculation," official documents have succeeded in perpetuating several basic misconceptions and misunderstandings about this topic. This situation does not augur well for the successful teaching of mental calculation strategies to young children. In this article, the author…
Descriptors: Mental Computation, Arithmetic, Misconceptions, Mathematics Instruction
Chen, Sandra – Crystal Springs Books, 2008
"Singapore Math: Place Value, Computation & Number Sense" is a six-part presentation on CD-ROM that can be used by individual teachers or an entire school. The author takes primary to upper elementary grade teachers through place value skills with each of the computational operations: addition, subtraction, multiplication, and division. She gives…
Descriptors: Computation, Computer Uses in Education, Mathematical Logic, Algebra
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Reys, Robert E., Ed.; Reys, Barbara J., Ed. – Arithmetic Teacher, 1986
Use of an ancient method of mental calculation with aliquot parts is illustrated. Other tips for helping children reason are also included. (MNS)
Descriptors: Elementary Education, Elementary School Mathematics, Mathematics Instruction, Mental Computation
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Pinhas, Michal; Pothos, Emmanuel M.; Tzelgov, Joseph – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2013
The representation of numbers is commonly viewed as an ordered continuum of magnitudes, referred to as the "mental number line." Previous work has repeatedly shown that number representations evoked by a given task can be easily altered, yielding an ongoing discussion about the basic properties of the mental number line and how malleable…
Descriptors: Evidence, Numbers, Number Concepts, Number Systems
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Guo, Feng; Li, Shaozi; Dai, Ying; Zhou, Changle; Lin, Ying – International Journal of Distance Education Technologies, 2011
Spirit diagnosing is an important theory in TCM (Traditional Chinese Medicine), by which a TCM doctor can diagnose a patient's body state. But this theory is complicated and difficult to master simply learned from books. To further the theory and skill of spirit diagnosing, in this paper, the authors propose a remote education system that can…
Descriptors: Medicine, Asian Culture, Human Body, Health
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Hyde, Daniel C.; Winkler-Rhoades, Nathan; Lee, Sang-Ah; Izard, Veronique; Shapiro, Kevin A.; Spelke, Elizabeth S. – Neuropsychologia, 2011
We studied the cognitive abilities of a 13-year-old deaf child, deprived of most linguistic input from late infancy, in a battery of tests designed to reveal the nature of numerical and geometrical abilities in the absence of a full linguistic system. Tests revealed widespread proficiency in basic symbolic and non-symbolic numerical computations…
Descriptors: Spatial Ability, Nonverbal Ability, Numbers, Geometric Concepts
Groves, Susie – 1994
The Calculators in Primary Mathematics Project in Australia was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993.…
Descriptors: Arithmetic, Calculators, Elementary Education, Elementary School Students
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Moore, Theodore F. – Mathematics Teacher, 1986
Presents a technique for multiplying two-digit numbers whose tens digits are equal and whose units digits have a sum of 10. Then various mental calculations with other types of two-digit and larger numbers are discussed. (MNS)
Descriptors: Computation, Learning Activities, Mathematics Instruction, Mental Computation
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Orsini, A.; Pezzuti, L.; Hulbert, S. – Journal of Intellectual Disability Research, 2015
Background: It is now widely known that children with severe intellectual disability show a 'floor effect' on the Wechsler scales. This effect emerges because the practice of transforming raw scores into scaled scores eliminates any variability present in participants with low intellectual ability and because intelligence quotient (IQ) scores are…
Descriptors: Severe Mental Retardation, Raw Scores, Scores, Foreign Countries
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Liu, Ru-De; Ding, Yi; Xu, Le; Wang, Jia – Journal of Educational Research, 2017
The authors' aim was to examine the relation between two-digit mental multiplication and working memory. In Study 1, involving 30 fifth-grade students, we used digit span backward as an abbreviated measure of working memory. In Study 2, involving 41 fourth-grade students, working memory comprised measures of phonological loop, visuospatial…
Descriptors: Short Term Memory, Mental Computation, Multiplication, Elementary School Students
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Browder, Diane M.; Spooner, Fred; Ahlgrim-Delzell, Lynn; Harris, Amber A.; Wakeman, Shawnee – Exceptional Children, 2008
This article reports on a comprehensive literature review and meta-analysis of 68 experiments on teaching mathematics to individuals with significant cognitive disabilities. Most of the studies in the review addressed numbers and computation or measurement. Within the computation studies identified, most focused on counting, calculation, or number…
Descriptors: Research Design, Mathematics Teachers, Mathematics Instruction, Mental Retardation
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Fung, Maria G.; Latulippe, Christine L. – Teaching Children Mathematics, 2010
Elementary school teachers are responsible for constructing the foundation of number sense in youngsters, and so it is recommended that teacher-training programs include an emphasis on number sense to ensure the development of dynamic, productive computation and estimation skills in students. To better prepare preservice elementary school teachers…
Descriptors: Preservice Teachers, Number Systems, Mathematics Teachers, Elementary School Teachers
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