This study is based on a sample of about 100 languages with numeral classifiers. An attempt is made at reconstructing the dynamics of the process by which such systems arise, develop, and decay. Among the hypotheses advanced are the following: (1) numeral classifiers involve the overt expression of one kind of quantification, namely, counting by…

This article discusses the challenge mathematics educators face in deciding what and how mathematics is to be taught, and offers some suggestions for teachers of young children based on Piaget's developmental theory of mathematics. Piaget's cognitive stages are briefly described and the concrete stage, which spans the age range included in early…

Instructional training packages for teachers of culturally divergent pupils were prepared and are being used with about 1,200 first graders in an experimental program. Reading Readiness skills are being taught within a classroom management framework of extrinsic reinforcement, followed by tapering schedules utilizing token reinforcement, with the…

This document contains the efforts of a group of teachers to develop curricular materials designed to correlate the subject matter of mathematics with that of a shop course in power mechanics. It is not an adaptation of traditional courses in mathematics, but an attempt to integrate the subject matter of mathematics into the concepts utilized in…

Volume I of the final report of the Florida State University clinical teacher model, a diagnostic prescriptive approach to instruction of the mildly handicapped, describes the project's overview, background, objectives, and products. Reviewed are the historical trends toward individualized instruction and illustrated is the management network for…

Reports on the progress of a project designed to establish both a research agenda for mathematics education and a conceptual framework for such an undertaking. Describes four conferences which have been organized to consider teaching problem solving, effective teaching, teaching and learning algebra, and middle school number concepts. (TW)

Investigates the arithmetic curiosity that when any integer is raised to the fifth power, the digits unit of the result is always the same as the digits unit of the original number. Explores results in number bases other than 10 via the computer. (PK)

Both industrialized and Third World countries see the need to "multi-culturalize" their mathematics curricula. Following a brief description of the drawing tradition of the Tchokwe people (Angola), some possible uses of their pictograms in the mathematics classroom are suggested. Examples given in this paper include the study of arithmetical…

Suggests that secondary school students seem to have reasonably good procedural knowledge in areas of mathematics as rational numbers, probability, measurement, and data organization and interpretation. It appears, however, that students are lacking the conceptual knowledge enabling them to successfully do the assessment items on applications,…

Takes issue with those who advocate the use of calculators in mathematics education. Rebutts four specific ideas relative to the use of calculators in school mathematics and argues that calculators may not be appropriate in teaching mathematics. (PK)

Practice on computation is provided using new and novel situations, with discovery of number patterns a bonus of the computation. Activities with disguised addition and multiplication tables for whole numbers and integers are presented for varying levels. (MNS)

There is evidence that structured cooperative logic is an effective way to introduce or reinforce mathematics concepts, explore thinking processes basic to both math and science, and develop the important social skills of cooperative problem-solving. This book contains a number of cooperative logic activities for grades K-4 in order to improve…

This document contains the revisions to the 5-8 Mathematics curriculum produced for Manitoba (Canada) teachers. It contains an introduction and seven content sections: Problem Solving, Algebra, Data Management, Geometry, Measurement, Number Concepts, and Number Operations. The introduction includes discussion of: rationale, goals, big ideas…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. First grade assessment materials and the "Strategies for Instruction in Mathematics" suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. Second grade assessment materials and the "Strategies for Instruction in Mathematics" suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…