This document, presented in two volumes, reports on a psychology of mathematics education conference, the theme of which was "Theoretical and Conceptual Frameworks in Mathematics Education." The two volumes include 58 papers, descriptions of 4 poster and 2 video presentations, and reports of and reactions to 2 plenary sessions presented…

Given the current and widespread practical interest in mathematical understanding, particularly with respect to higher order thinking skills, curriculum reform advocates in many countries cite the need for teaching mathematics with understanding. However, the characterization of understanding in ways that highlight its growth, as well as the…

In the spring of 1989, over 2,000 pairs of fourth- and eighth-grade students were assessed on their ability to apply mathematical and scientific concepts. The tests (administered in alternate years during the written assessments of the Massachusetts Educational Assessment Program) required students to apply what they knew about mathematics and…

Forces created by the proliferation of computer hardware and software, by innovative methods of mathematical modelling and applications, by broader demographic considerations, and by schools themselves are profoundly changing the way mathematics is practiced, the way mathematics is taught, and the way mathematics is learned. In this volume, a…

The purpose of this study was to examine whether the mathematical structures inherent in grade 7 geometry curriculum objectives can be used to improve the communication of the objectives to students. Teacher inservice based upon geometrical properties and structures was combined with student teaching materials to try to improve student achievement…

Six papers on the relationship of language and culture in the Australian Aboriginal context are presented. "Some Thoughts on Yanyuwa Language and Culture" by Jean Kirton gives an overview of some language-culture relationships and examines seven kinds of possession in one language. "Nyangumarta Kinship: A Woman's Viewpoint" by…

This collection of papers focuses on numeracy education for adults. In a paper entitled "Functional Numeracy," Terry Riley questions the underlying assumptions of functional numeracy and suggests that the term has often been distorted and oversimplified. Margeret Moss, in her paper "The Language of Numeracy," stresses that…

This unit is intended to teach estimation skills in such a way as to be relevant and useful to students as they apply them in various problem-solving activities. The teaching activities feature the earth, exploration into space, and the other worlds in the solar system. The teacher's guide contains four modules. Module I suggests the use of…

This occupational analysis data was assembled to help cosmetology instructors develop a course of study. Following a job description for a cosmetologist, the remainder of the content in standard task analysis format presents an analysis of twelve cosmetologist duties (tasks). Each of the twelve duties is broken down into its components (one or…

To help classroom teachers construct mathematics tests, nineteen general objectives, corresponding sub-objectives, sample test items, and answers are presented. In general, sub-objectives are arranged in increasing order of difficulty. The objectives were written to comprehensively cover three categories: (1) set theory; (2) numeration (Roman,…

A collection of 96 mathematics items are presented for state and local education agencies to draw upon in designing their own minimal competency tests. These items, part of the National Assessment of Educational Progress, have been reviewed in terms of their appropriateness for a minimal competency test for high school graduation. The items are…

The value of using inductive and deductive methods in instructing a mathematical principle and foreign language alphabet are tested with sample groups of sixth and eighth grade students in two separate educational experiments. In both cases, the instructional methods used were--(1) instruction in principle before application to examples, (2)…

The establishment of Research and Instructional (R and I) Units is discussed in terms of their utility and applicability for research needs. These units are said to provide a propitious setting for rigorous educational research. Two experiments in R and I units are described--one dealing with ways to implement feedback to students on their school…

Presents a study in which first grade students wrote about what they had learned or discovered at their math learning center. Suggests that students who learn actively by writing in a journal acquire ownership of the information, and that reflecting on information is more effective than transcribing and reciting. (JC)

This brochure highlights key concepts of the American Federation of Teachers (AFT) "Thinking Mathematics" courses. Citing adherence to No Child left Behind Act (NCLB) mandates, these courses are: (1) based on scientific research about how children learn mathematics; (2) designed to increase teacher mathematical knowledge; (3) provide a…