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Seeley, Cathy L. – Math Solutions, 2009
NCTM Past President Cathy L. Seeley shares her messages on today's most relevant topics and issues in education. Based on Cathy L. Seeley's award-winning NCTM President's Messages, and including dozens of new messages, this must-have K-12 resource offers straight talk and common sense about some of today's most important, thought-provoking issues…
Descriptors: Elementary Secondary Education, Mathematics Education, Achievement Gap, Creativity
Ashcraft, Mark H. – 1985
Described in the context of a computer simulation are highlights of a program of research focusing on the storage of mathematics problem solving information in young children's memory and the development of such knowledge structures in older children. Specifically discussed are the problem size effect, the network nature of the memory…
Descriptors: Arithmetic, Cognitive Development, Cognitive Processes, Computer Simulation
Peer reviewed Peer reviewed
Jensen, Arthur R. – Intelligence, 1990
The performance on a battery of cognitive tests of an individual with extraordinary ability at mental arithmetic was studied. Implications of the rather ordinary test performance of Shakuntala Devi in contrast with her calculating speed are discussed with reference to memory and information processing. (SLD)
Descriptors: Arithmetic, Case Studies, Cognitive Ability, Cognitive Processes
Peer reviewed Peer reviewed
Thompson, Gary W.; And Others – Mid-Western Educational Researcher, 1992
Fourth grade students participated in mental arithmetic activities for eight weeks. Posttests revealed that the experimental group performed significantly higher than the control group on arithmetic problem solving and arithmetic computation. Females appeared to benefit more from the instructional program than males. (KS)
Descriptors: Arithmetic, Elementary Education, Grade 4, Mathematics Achievement
Peer reviewed Peer reviewed
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
Heirdsfield, Ann – 2000
Literature at national and international levels argues the importance of including mental computation in a mathematics curriculum that promotes number sense. However, mental computation does not feature in importance in the current Queensland mathematics syllabus documents. Hopefully, with the writing of a new mathematics syllabus, mental…
Descriptors: Addition, Arithmetic, Foreign Countries, Grade 3
Bisanz, Jeffrey; And Others – 1989
Because little is presently known about changes in children's knowledge of the logical principles of arithmetic and, more specifically, about how children's developing knowledge is reflected in the use of solution procedures, two types of three-term arithmetic problems were presented for solution to 6-, 7-, 9-, 11-, and 20-year-olds. Problems were…
Descriptors: Arithmetic, Children, Cognitive Ability, Foreign Countries
BEATTY, LESLIE S.; AND OTHERS – 1961
A BOOKLET DESIGNED FOR ELEMENTARY SCHOOL STUDENTS TO BE USED INDEPENDENTLY FROM AND IN ADDITION TO THE REGULAR CLASSROOM CURRICULUM IN MATHEMATICS IS PRESENTED. THE FIFTH- OR SIXTH-GRADE STUDENT IS GIVEN PRACTICE IN WORKING PROBLEMS IN SUBTRACTION AND DIVISION. SHORT CUTS AND HINTS ARE PRESENTED THROUGH EXAMPLES, SAMPLE PROBLEMS, AND ANSWERS. THE…
Descriptors: Arithmetic, Division, Elementary School Students, Grade 5
Peer reviewed Peer reviewed
Hitch, Graham J. – Cognitive Psychology, 1978
Two simple quantitative models were derived from a series of experiments which explored the role of information storage in working memory when performing mental arithmetic. The decay model is a tractable analysis of a complex task which assumes a decay process in working storage. Similar analyses are recommended for problem solving activities…
Descriptors: Addition, Adults, Arithmetic, Cognitive Processes
Peer reviewed Peer reviewed
Beishuizen, M.; And Others – Learning and Instruction, 1997
Mental arithmetic strategies were studied with 91 Dutch third graders who computed by splitting off 10s and units in both numbers or counting by 10s up or down from the first unsplit number. Results reveal flexibility in changing between and within strategy use. Implications for instruction are discussed. (SLD)
Descriptors: Arithmetic, Cognitive Processes, Elementary Education, Elementary School Students
Randhawa, Bikkar S.; And Others – 1994
To test the theory of mental calibration for mental addition it was hypothesized that the mean reaction time for problems in homogeneous sets will be faster than for problems in heterogeneous sets and that the reaction time was inversely related to ability and development (grade level) and independent of gender. Three sets of 40 addition problems…
Descriptors: Addition, Arithmetic, Elementary School Students, Intermediate Grades
Peer reviewed Peer reviewed
Frankenstein, Marilyn – Mathematics Teacher, 1984
Example of magic tricks that can be used as an integral part of various lessons in arithmetic and algebra are given. Their mathematical basis is also discussed. (MNS)
Descriptors: Algebra, Arithmetic, Elementary Secondary Education, Learning Activities
Reys, Barbara – Instructor, 1983
Students who can compute mathematical problems in their heads have learned a skill that is important for estimating and for understanding the number system. Practice activities that can help students master mental computation skills are described. (PP)
Descriptors: Addition, Arithmetic, Computation, Drills (Practice)
Peer reviewed Peer reviewed
Levin, James A. – Educational Studies in Mathematics, 1981
A range of estimation techniques are described, and a series of mental computation procedures based on concepts of measurement and real numbers are presented in detail. (MP)
Descriptors: Arithmetic, Computation, Educational Change, Elementary Education
McIntosh, Alistair; And Others – 1995
This study was conducted to obtain information related to mental computation from students in Years 3, 5, 7, and 9 in Western Australia. The numbers of subjects were 163, 163, 163 and 152 in years 3, 5, 7, and 9, respectively. The research was designed to provide three different perspectives of mental computation: (1) a survey of the kinds of…
Descriptors: Arithmetic, Computation, Elementary School Students, Elementary Secondary Education
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