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Lee, Kil S. – School Science and Mathematics, 1991
Traditional methods of teaching addition include algorithms that involve right-to-left procedures. This article describes efficient procedures for left-to-right addition and subtraction involving computation and computational estimation that reflect children's natural behaviors observed during activities with unifix cubes. (MDH)
Descriptors: Addition, Algorithms, Cognitive Development, Cognitive Processes

Treffers, Adrian – Educational Studies in Mathematics, 1991
The problem of innumeracy in general and at the primary school level in particular is attributed to a structuralist design of instruction emphasizing an algorithmic approach to arithmetic. Offered is an alternative learning approach developing arithmetic as an informal context-bound activity tied to mental arithmetic and estimation. (MDH)
Descriptors: Arithmetic, Cognitive Processes, Concept Formation, Elementary Education
McDonald, Jacqueline; And Others – Focus on Learning Problems in Mathematics, 1992
Reports a study to explore student's computational performance on computer-administered testing situations while at the computer. Students from grades 3-6 (n=100) were randomly assigned to treatment order, computer assessment first or paper/pencil assessment first. Significant differences occurred in three areas: completion time, number of mental…
Descriptors: Computation, Computer Assisted Instruction, Computer Assisted Testing, Diagnostic Tests

Parker, Janet; Widmer, Connie Carroll – Arithmetic Teacher, 1992
Describes the method to solve problems called T-E-M-T-T: trial, error, and modified trial through technology. The method integrates students' skills of estimation, mental computation, and appropriate choice of calculator use. Includes 2 activities for each of grades K-4 and 5-8 that illustrate the method. (MDH)
Descriptors: Calculators, Computation, Computer Assisted Instruction, Elementary Education

Hopkins, Martha H. – Arithmetic Teacher, 1992
Presents five activities focusing on mental computation and estimation for the K-3, 3-5, 4-6, and 6-8 grade levels that require the student, acting as a judge, to review solutions to problems and to pronounce and justify a verdict. Provides suggested materials, questions, possible extensions, answers, and worksheets for each activity. (MDH)
Descriptors: Addition, Computation, Elementary Education, Error Correction

Beishuizen, Meindert – Journal for Research in Mathematics Education, 1993
Describes a program in second-grade Dutch mathematics classes that emphasizes mental addition and subtraction of two-digit numbers up to 100. Deals with a strategy of counting by 10s from any number. (Contains 56 references.) (RLB)
Descriptors: Addition, Case Studies, Cognitive Processes, Cognitive Style
Reys, Robert E.; And Others – 1984
This report summarizes a project to develop computational estimation materials for students in grades 6, 7, and 8. In chapter 1, the need for estimation skills is discussed and the goals of the project are stated: to develop a carefully sequenced set of lessons, activities, and maintenance work on estimation with whole numbers, fractions,…
Descriptors: Computation, Curriculum Development, Curriculum Evaluation, Decimal Fractions
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1983
An editorial comment on the computer and the mathematics educator is included first. Then, abstracts and comments are presented for 11 articles. Studies included focus on mental addition, problem solving by sixth graders, mathematics anxiety, tutoring, direct instruction, a bilingual program, thinking strategies for multiplication basic facts,…
Descriptors: Bilingual Students, Cognitive Processes, Cognitive Style, Computers

Sowder, Judith; Schappelle, Bonnie – Arithmetic Teacher, 1994
Discusses various research findings aimed at helping teachers provide a classroom climate which leads students to develop better number sense. Focuses on number and symbol meaning, including number size, place value, and fractions, as well as computation and computational estimation. (MKR)
Descriptors: Classroom Environment, Cognitive Development, Computation, Discussion (Teaching Technique)

Markovits, Zvia; Sowder, Judith – Journal for Research in Mathematics Education, 1994
Examined the effects of intervention in the instruction of 12 male seventh-grade students for the purpose of developing number sense. Results indicate that after instruction students were more likely to use strategies to solve number magnitude, mental computation, and computational estimation problems that reflected number sense. (Contains 50…
Descriptors: Cognitive Development, Cognitive Style, Computation, Estimation (Mathematics)

Reys, Barbara J.; And Others – School Science and Mathematics, 1993
Examined elementary and junior high school students in grades 2, 5, and 7 to determine baseline data about student performance on mental computation. Reports performance levels, difficulties of different types of mental computation, and preferences for doing computations mentally, with calculators, or by hand for each grade level. (MDH)
Descriptors: Academic Achievement, Computation, Elementary Education, Elementary School Students
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1986
This issue of the journal contains abstracts and critical comments for ten published reports of research in mathematics education. The reports concern teaching probability and estimation of measurements through microcomputer games, mental addition, use of calculators at the intermediate level, logical reasoning hierarchies, two approaches to the…
Descriptors: Calculators, Cognitive Processes, Educational Games, Educational Research
Mazzocco, Michele M. M.; Thompson, Richard E. – Learning Disabilities Research and Practice, 2005
The aim of the present study was to address how to effectively predict mathematics learning disability (MLD). Specifically, we addressed whether cognitive data obtained during kindergarten can effectively predict which children will have MLD in third grade, whether an abbreviated test battery could be as effective as a standard psychoeducational…
Descriptors: Psychoeducational Methods, Individual Testing, Grade 2, Grade 3

Bayliffe, Janie; And Others – Arithmetic Teacher, 1993
Presents five examples of how technology can be integrated into Family Math nights. Activities involve graphing, managing money, developing mental mathematics skills, developing deductive and spatial reasoning, and using tangrams to explore patterns and spatial relationships. Includes a list of software publishers. (MDH)
Descriptors: Abstract Reasoning, Computer Assisted Instruction, Computer Software, Computer Uses in Education
Reys, Barbara J.; Reys, Robert E. – 1993
While the emphasis and content of school mathematics differ little between Japan and America, by the time students reach junior high school, performance as measured by international studies differs greatly. This report provides a profile of the attitudes toward, strategies used, and performance on mental computation of Japanese students in grades…
Descriptors: Cognitive Style, Elementary Education, Elementary School Students, Foreign Countries