This thesis describes the design, development, implementation, and evaluation of a training module to instruct graduate foreign students to learn the representation of the binary system and the method of decimal-binary conversion. The designer selected programmed instruction as the method of instruction and used the "lean" approach to…

This catalog describes exemplary mathematics programs across six southeastern states. The program title, site, content focus, grade level, achievement levels, program description, and address for contact are summarized for each program. The programs were identified through a literature search and through recommendations from mathematics experts.…

Computer graphing makes it easier for students and teachers to create and manipulate graphs. Scale issues are nearly unavoidable in the computer context. In interviews and protocol analysis with six students from grade 8, and 12 students from grades 11 and 12, it became apparent that some aspects of scale are clearly understood very early while…

This paper reports on a study of the spread of an educational innovation that used computer technology and software called "Geometric Supposers" to integrate inductive reasoning into geometry courses in three high schools. The study documented the efforts of teachers, who had worked with this innovation during the previous year, to…

Proof-writing is probably one of the most difficult skills for students to master in geometry. This may be due to the fact that students are not being taught the critical thinking skills necessary for proof-writing. The purpose of this paper is to illustrate how the ReQuest method can be used in the geometry classroom to improve students' question…

To gather information for its response to the issue whether to allow the use of hand-held calculators on standardized mathematics tests, the staff at Educational Testing Service (ETS), under the sponsorship of the College Board, developed a questionnaire to poll teachers of college-level mathematics about calculator and microcomputer use in…

Over a 14-month period, infants who were initially 10 months old were intermittently allowed to play with three sets of graduated objects presented in disarray. All of the infants acquired the ability to completely organize the materials. The infants exhibited patterned behavior in their organizing practices when they individualized objects by…

In mathematics, situations calling for reconstruction of a transformation are frequent. In such situations, children aged 6 to 7 concentrate on the states, combining them in different ways. The present research aims to illustrate that difficulties and strategies observed with children 6-7 years old are not specific to this age level, but are also…

Activities from the "IDEAS" department which appeared in the "Arithmetic Teacher" between 1980 and 1985 were selected for this publication, designed for students in grades 4 through 6. The activities were reprinted just as they originally appeared in the journals. The selections are arranged according to the major topical areas of the curriculum:…

These materials are intended to provide meaningful mathematical experiences for pre-algebra students. These experiences emphasize the development of computational skills, mathematical concepts, and problem-solving techniques. This bulletin may be used as the basis for the second term of a one-year course, or for the second year of a two-year…

Weaknesses in educational software currently available in the domain of mathematics are discussed. A technique that was used for the design and production of mathematics software aimed at improving problem-solving skills which combines sound pedagogy and innovative programming is presented. To illustrate the design portion of this technique, a…

A miniconference (consisting of four 60-minute sessions) was organized to contribute to the exploration of frames, forms, and contents of systematic cooperation and interaction between the researcher and teacher in the classroom. These proceedings of the conference include descriptions of the organization, purpose, and background of the…

This set of three modules was designed for use primarily to help teach and reinforce the basic mathematics skills in drafting classes. The modules are based on the needs of drafting students in beginning courses as determined by a survey of teachers across North Carolina. Each module consists of basic information and examples and problem sheets…

Thinking Approach to Problem Solving (TAPS) is a decision-making model that will assist students, kindergarten through grade eight, to decide on the choice of operation in routine mathematical word problems. The TAPS algorithm, or plan, suggests that students read a word problem, determine the question to be answered in the problem, use concrete…

This issue of the journal contains abstracts and critiques of 11 research reports. They concern: a case study of one child's strategies for mental addition; children's understanding of fractions; computation routines prescribed by schools; models in verbal problem solving; predicting eighth-grade algebra achievement; the effectiveness of…