Designed for the instruction of emotionally handicapped children and youth, this guide presents mathematical concepts and activities which may be utilized in outdoor education. Three authors provide three individualized resource guides on mathematics; Guide 1 deals with the concepts of measurement, time, estimation, geometry, counting, and…

This curriculum is an intermediate result of a research program exploring the application of detailed behavior analysis procedures to the problem of designing sequences of learning objectives. The research program, part of the Primary Education Project (PEP), is an attempt to develop a systematic method of specifying and validating learning…

The construction of an exploratory test dealing with concepts relevant to mathematics was required as part of the New Canadian Study. The test devised for this purpose has three sections dealing with the sorting of objects. In Sort One, 10 lines are sorted into groups of two; in Sort Two, numbers from 1 to 10 are sorted; and, in Sort Three,…

The purposes of this study were to: (1) determine the influence of a series of experiences involving the equivalence relation "same length as" and the asymmetric transitive relations "longer than" and "shorter than" on the ability of first and second grade children to classify and seriate objects on the basis of length; (2) investigate the…

Sixth-grade students were measured on fluid and crystallized ability, given instructions stressing one of the abilities, and pre- and posttested on a mathematical concept. Results suggest that students with lower general ability benefit most by instruction focused on fluid ability, and students with higher general ability by instruction focused on…

Explores the following classical problem: given any 30 points on a circle, join them in pairs by segments in all possible ways. What is the greatest number of nonoverlapping regions into which the interior of the circle can be separated? Presents strategies for solving this problem. (PK)

Focuses on the language used by elementary mathematics teachers and its relationship to students' understanding of mathematical concepts, as well as their misconceptions. Describes eight situations in which the use of precise, formal mathematical terms could be replaced by informal language, particularly when introducing new concepts. (TW)

Discusses some important components of instruction on fractions in the early childhood years. Argues that fractions should be included in the early childhood curriculum and suggests various activities and materials. (PK)

Provides mathematical activities in reproducible format for students in grades seven through ten. Intended to review and reinforce mathematical symbolism, concepts and relationships appropriate for middle school students. The game format is modeled after a television game show. (PK)

The focus is on aspects of learning and teaching mathematics in which the "distance" between the mother tongue of the learner and the language which dictated the design of the curriculum plays a major role. Illustrations concern students in Botswana. (MNS)

Implications of using pupil-to-pupil discussion with mathematics classrooms are discussed, with different ways in which such discussion might promote mathematical understanding. A framework for instruction includes the learning of the computer language Logo. (MNS)

Activities are given to assist students in seeing a rationale for the difficult algorithms we teach for fractions. Both interpretations of fractions and operations with fractions are discussed. (MNS)

The authors discuss the question, "What is mathematics education research at the university level?" They go on to consider "Making progress in tertiary mathematics education research: pushing the field forward." This includes a discussion of basic concepts and theoretical frameworks used. Further, they consider who does such research and how one…

We report on one aspect of a longitudinal study which seeks insight into the ways in which spreadsheet experience and teachers' pedagogic strategies shape pupils' construction of meaning for algebra. Using data from stimulated recall interviews we analyse the evolution of meaning for variable through the mediation of the variable cell and the…

Get students into math using outer space! Mission Mathematics translates the NASA experience into language and experiences appropriate for young learners, and provides teachers with mathematics activities that complement many of the available NASA resources for students and educators. In these motivating investigations, young children engage in…