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Zhu, Liqi; Gigerenzer, Gerd – Cognition, 2006

Can children reason the Bayesian way? We argue that the answer to this question depends on how numbers are represented, because a representation can do part of the computation. We test, for the first time, whether Bayesian reasoning can be elicited in children by means of natural frequencies. We show that when information was presented to fourth,…

Descriptors: Mental Computation, Probability, Bayesian Statistics, Intermediate Grades

Williamson, Victoria – Mathematics Teaching Incorporating Micromath, 2007

In this article, the author describes her attempt to develop more interactive mental mathematics sessions. She observed that her students perceive the multiplication tables as a series of facts which are either known or not known, not as tools which could be used to derive other facts in a flexible manner. She therefore undertook the task of…

Descriptors: Student Attitudes, Student Projects, Educational Objectives, Active Learning

Peer reviewed

Carroll, William M. – School Science and Mathematics, 1996

Compares the results of a whole-class test on mental computation problems given to fifth graders who had been in a reform-based mathematics curriculum with those of students in a traditional mathematics curriculum. Reports that the students in the reform-based program performed much higher than the comparison group on all but one problem. (16…

Descriptors: Computation, Educational Change, Elementary Education, Evaluation

Brooks, Neon B.; Barner, David; Frank, Michael; Goldin-Meadow, Susan – Cognitive Science, 2018

People frequently gesture when problem-solving, particularly on tasks that require spatial transformation. Gesture often facilitates task performance by interacting with internal mental representations, but how this process works is not well understood. We investigated this question by exploring the case of mental abacus (MA), a technique in which…

Descriptors: Nonverbal Communication, Problem Solving, Computation, Schemata (Cognition)

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)

Anderson, John R.; Fincham, Jon M. – Cognitive Science, 2014

Multi-voxel pattern recognition techniques combined with Hidden Markov models can be used to discover the mental states that people go through in performing a task. The combined method identifies both the mental states and how their durations vary with experimental conditions. We apply this method to a task where participants solve novel…

Descriptors: Cognitive Structures, Pattern Recognition, Markov Processes, Cognitive Processes

Peer reviewed

Holbrook, Edna L. – Mathematics Teaching in the Middle School, 1998

Presents a modified version of the Wheel of Fortune game for mathematics classrooms that engages students in solving equations by using formal and informal methods. Encourages mental computation and estimation. (ASK)

Descriptors: Algebra, Computation, Educational Games, Estimation (Mathematics)

Peer reviewed

Rea, Robert E.; French, James – Arithmetic Teacher, 1972

A study of activities in mental computation and in paper and pencil enrichment activities for sixth graders showed that both treatments produced increases in achievement test scores. Examples of both types of activities used are included. (DT)

Descriptors: Achievement, Computation, Educational Games, Elementary School Mathematics

Peer reviewed

Payne, Joseph N., Ed. – Arithmetic Teacher, 1987

Four worksheets and teaching suggestions are presented, with the focus on mental computation for levels 2-3; factors, levels 3-4; and nonroutine problems, levels 5-6 and 7-8. (MNS)

Descriptors: Elementary School Mathematics, Elementary Secondary Education, Instructional Materials, Learning Activities

Peer reviewed

Ockenga, Earl; Duea, Joan – Arithmetic Teacher, 1983

Four activities focus on estimation and mental computation. Each consists of a game that can be used on an overhead projector. The content involved finding costs and estimating sums, products, and percents. (MNS)

Descriptors: Addition, Class Activities, Educational Games, Elementary School Mathematics

Peer reviewed

Smith, Susan M. – Mathematics Teacher, 1981

Activities geared to reinforcing the skills involved in solving linear equations are given. The material is prepared on worksheets designed for duplication. Student use of calculators is suggested, and the material can aid in promoting mental computation and estimation. (MP)

Descriptors: Algebra, Calculators, Decimal Fractions, Instructional Materials

Suzuki, Kouzi – Illinois Mathematics Teacher, 1995

Describes the use of a soroban, a base-10 computer which is a relative of the Chinese abacus, for developing concepts of number sense, place value, operation sense, and mental computation. Provides pictures of the soroban. (MKR)

Descriptors: Arithmetic, Concept Formation, Educational Technology, Elementary Education

Peer reviewed

Duren, Phillip E. – Mathematics Teacher, 1989

Discusses when to use the computer, paper-and-pencil, or mental-computation procedures. Provides examples of solving problems dealing with roots of polynomial using computer graphing and other strategies. Suggests implications for curricular planning. (YP)

Descriptors: Computer Assisted Instruction, Elementary Education, Elementary School Mathematics, Functions (Mathematics)

Ullman, M.T.; Pancheva, R.; Love, T.; Yee, E.; Swinney, D.; Hickok, G. – Brain and Language, 2005

Are the linguistic forms that are memorized in the mental lexicon and those that are specified by the rules of grammar subserved by distinct neurocognitive systems or by a single computational system with relatively broad anatomic distribution? On a dual-system view, the productive -ed-suffixation of English regular past tense forms (e.g.,…

Descriptors: Morphemes, Memory, Dictionaries, Aphasia

Olsen, James R. – Mathematics Teacher, 2015

After studying the Common Core State Standards for Mathematics (CCSSM) and brain-based learning research, James Olsen believes mental math instruction in secondary school mathematics (grades 7-12) and in teacher education programs needs increased attention. The purpose of this article is to share some keys for teaching mental math. Olsen also…

Descriptors: Mental Computation, Teaching Methods, Mathematics Instruction, Secondary School Mathematics