Describes activities for primary grades to practice shape identification, computation, and geometric designs. The materials include reproducible worksheets. (PK)

Five- to six-year-old children estimated the size of Euclidian objects using an addition rule of Height plus Width, rather than a multiplying rule. Within the framework of information integration theory, tested whether intensive handling of objects would facilitate shift from addition rule to multiplication rule. Found that following handling,…

P-adic or g-adic sets are sets of elements formed by linear combinations of powers of p, a prime number, or g, a counting number, where the coefficients are whole numbers less than p or g. Discusses exercises illustrating basic numerical operations for p-adic and g-adic sets. Provides BASIC computer programs to verify the solutions. (MDH)

Preschool children (n=115) in Poland were tested in five areas: counting, equipotency of sets, dividing, adding, and comparing. Results showed that these children already had informal knowledge of many of the concepts and skills included in the mathematics curriculum in the early grades. (PDD)

Surveys the format and contents of fifteenth- and sixteenth-century arithmetic textbooks. Discusses the types of problems that were most popular in these early texts and briefly analyzes problem contents. Notes the residual educational influence of this era's arithmetical and instructional practices. (Contains 29 references.) (Author/MDH)

Developed for elementary teachers, this activity unit is designed to teach students the importance of estimation in developing quantitative thinking. Nine ways in which estimation is useful to students are listed, and five general guidelines are offered to the teacher for planning estimation activities. Specific guidelines are provided for…

This module is the third in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include calculator addition, adding measurements of…

An introduction to the Hupa number system is provided in this workbook, one in a series of numerous materials developed to promote the use of the Hupa language. The book is written in English with Hupa terms used only for the names of numbers. The opening pages present the numbers from 1-10, giving the numeral, the Hupa word, the English word, and…

Whole-class peer tutoring programs have been found by some to be an effective way of providing students with a one-to-one instructional setting. This document reports on a study in which a peer tutoring program on mathematics fact acquisition was assessed using a second grade classroom consisting of 21 learners who possessed below average…

This paper describes a classroom teaching experiment conducted in three fifth-grade mathematics classrooms with students of different achievement levels. Virtual fraction manipulative concept tutorials were used in three one-hour class sessions to investigate the learning characteristics afforded by these technology tools. The virtual fraction…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers the addition and subtraction of common fractions and mixed numbers. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with…

This action research study examined the effectiveness of Touch Math, a math series that emphasizes use of manipulatives, to improve mathematics achievement with four third or fourth grade students with special needs (either mild mental retardation, learning disability, or health impairment). The students received mathematics instruction for 45…

Defines "skill-to-meaning" instruction. Describes research designed to determine the effectiveness of skill-to-meaning mathematics instruction for educable mentally handicapped children. Discusses educational implications of the study results and notes the benefits of meaning for handicapped children. (SB)

Compared young mathematically disabled and academically normal children in terms of the distribution of strategies and solution times involved with simple addition problems. Performance characteristics of normal students and disabled students who improved were essentially the same, whereas those of disabled students who did not change were…

Forty first-grade teachers' pedagogical content knowledge of children's solutions of addition and subtraction word problems was investigated. Most teachers could identify many of the critical distinctions between problems, and the primary strategies used to solve them, but did not have a coherent organizational scheme. (MNS)