The aim of this series of four articles is to look critically, and in some detail, at the primary strategy approach to written calculation, as set out on pages 5 to 16 of the "Guidance paper" "Calculation." The underlying principle of that approach is that children should use mental methods whenever they are appropriate, whereas for calculations…

This article describes a recent and successful initiative on teaching place value and the decomposition method of subtraction to pupils having difficulty with this technique in the 9-12-year age range. The aim of the research was to explore whether using the metaphor of selling chews (i.e., sweets) in a tuck shop and developing this into an iconic…

In 2 experiments, the efficacy of motor imagery for learning to type number sequences was examined. Adults practiced typing 4-digit numbers. Then, during subsequent training, they either typed in the same or a different location, imagined typing, merely looked at each number, or performed an irrelevant task. Repetition priming (faster responses…

Piagetian tasks have more to do with the child's ability to inhibit interference than they do with the ability to grasp their underlying logic. Here we used a chronometric paradigm with 11-year-olds, who succeed in Piaget's conservation-of-weight task, to test the role of cognitive inhibition in a priming version of this classical task. The…

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

This two-volume teacher's guide is to be used with a first-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools are…

This two-volume teacher's guide is to be used with a second-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools…

Reviews two software packages; "Block It, An Instructional Game" and "Conquering Whole Numbers." The first is a simulation game which uses graphic representation of base-ten blocks to reinforce place value and regrouping. The second package is designed to give students in grades three through six practice in computation. (PK)

Examines the historical development of logarithm tables. Suggests that students should write computer programs to calculate logarithms. (PK)

Thirty-six Korean first graders were interviewed to study their ability solving addition problems with sums of 10, single-digit sums between 10 and 18, and subtraction problems with minuends between 10 and 18. Finger methods to show sums over 10 and the regular named-10 Korean number words supported their learning of 3 efficient recomposition…

"Chemical Engineering Modeling" is a first-semester graduate course traditionally taught in a lecture format at Oklahoma State University. The course as taught by the author for the past seven years focuses on numerical and mathematical methods as necessary skills for incoming graduate students. Recent changes to the course have included Visual…

To build cognitive foundation for number, twenty-six low-performing, low-SES first graders did mathematical physical-knowledge activities, such as "bowling," during the first half of the year. As their arithmetic readiness developed, they tried more word problems and games. At the end of the year, these children did better in mental arithmetic and…

Few studies investigating the impacts of teacher characteristics and beliefs about the importance of early skill learning have included measures of children's learning outcomes. This study investigated how teachers' educational attainment, experience, and beliefs impact the development of letter identification and number concepts (enumeration,…

Noting that many parents who might teach their young children are often discouraged by a lack of information or fear of being labeled "pushy," this book provides parents with a step-by-step program for teaching preschoolers letters and numbers as a way of giving children a head start on formal education. The handbook consists of a…

Used as an integral part of the migrant student skills system operated by the Migrant Student Record Transfer System (MSRTS), the math skills list contains a catalog of math skills typical of the K-9 grade range. This catalog includes a sample of the MSRTS transmittal record, a reporting form which permits teachers to report the math skills…