A set of ten teacher-prepared Learning Activity Packages (LAPs) in beginning algebra and nine in intermediate algebra, these units cover sets, properties of operations, number systems, open expressions, solution sets of equations and inequalities in one and two variables, exponents, factoring and polynomials, relations and functions, radicals,…

Three examples are given in which students create their own Logo software to explore the topics of number patterns and operations, fractions, and decimal parts in measurement. (MNS)

Describes longitudinal study of the development of understanding of two logical properties of number by 36 children during the first three years of primary school in Glasgow. Piagetian tests and number skills tests were administered to explore the acquisition of number as class and number as order concepts. (Author/LRW)

Examines how quantification is expressed in written English. Suggests ways of defining the categories of meanings a learner might need to be able to express and the linguistic devices used to realize these meanings. Categories of quantification are included. (Author/LMO)

Reports on a study designed to investigate aspects of young children's knowledge of fractions and partitions of quantities. Findings suggest that although children did not have a deep understanding of the concept of one half, a significant number demonstrated a powerful systematic procedure leading to the creation of accurate equal fractional…

Presents a set of activities, in reproducible format, emphasizing geometry. The activities offer experiences in area measure, whole number and fractional computation, and problem solving in spatial relationships. (PK)

Presents reviews of three software packages. These are "Ant Farm," a game of problem solving using guess and check or trial and error; "Learning Place Value"; and a set of three utility programs--"Mastering Math: Diagnostic System,""Mastering Math: Worksheet Generator," and "Mastering Math: Management System." (PK)

Argues that, though considerable difference of view is evident between Montessori and Piaget about the importance of certain concepts and level of cognitive development necessary for genuine understanding, the ideas and methods first presented by Montessori 80 years ago stand up well when evaluated through the lens of current research. (PK)

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

Four activity workshops are suggested which might be used for several different purposes. The reproducible worksheets address clock patterns, patterns with tides, extending Pythagoras, and fractions extended. (PK)

Discusses the mathematical properties of magic squares. Includes a computer program that will test magic square criteria. (PK)

Four worksheets designed to be used with calculators are presented. For levels 1-2, counting is the focus; levels 3-4, estimation; levels 5-6, use of memory keys; and for levels 7-8, patterns. (MNS)

New approaches to the teaching of introductory algebraic concepts are discussed. Their use in the Approaching Algebra Numerically Project in some middle schools in Ohio is reviewed. Some implications for use in Australian schools are considered. (MNS)

Activities to extend the core curriculum through the study of the periodicity of rational numbers to help students develop calculator and research skills are presented. Four worksheets are included, to be used as discovery activities. A computer program is listed, as well as examples of periodic pictures. (MNS)

Described is a project in a third grade class in which problem-solving skills are developed through activities with patterns. Activities for growing picture patterns, making number tables, and developing open sentences or formulas are discussed and illustrated. (MNS)