This document is designed to assist administrators and teachers in planning, developing, and implementing grades K-9 mathematics programs and to provide some guidelines for grades 10-12 instruction. It is intended to provide a philosophical foundation and curricular framework from which educators may construct a comprehensive local program to meet…

These materials were developed for use in workshops with teachers. The document suggests a four-stage framework which students can apply to problems: (1) get to know the problem; (2) choose what to do; (3) do it; and (4) look back. Suggestions are included for each of the four stages of the probem solving process. Other specific techniques for…

In response to theories of learning that attempt to get rid of contents, two arguments are provided which suggest that it is theoretically disputable that knowledge develops along the same kind of process for biology and history, physics and mathematics, or the geometry of the triangle, and the geometry of space. The first is that empirical…

The increasing availability of the computer in the classroom has created a need for informed and creative instructional software. Two areas of cognitive research in mathematics and science learning have implications to instruction and, consequently, to educational software design. These are research on misconceptions and on differences between…

In 1985, Indiana joined the growing list of states assessing students' achievement at various levels. During February 1985, over 63,000 third-grade students took the 40-item Indiana Basic Competency Skills Test. A mean of 34.7 was achieved. An item analysis was performed for a random sample of 6,439 students (approximately 10%). Findings confirm…

This report describes the yearlong case study based on participant observation at a school which used ThinkAbout, a series of 60 15-minute instructional television programs designed to strengthen the reasoning skills of fifth and sixth graders, and to review and reinforce language arts, mathematics, and study skills. Discussion covers the patterns…

Papers from three annual conferences of the Research Council for Diagnostic and Prescriptive Mathematics are presented. They are: "The Mathematics Clinic Model: Parents as Clinicians and their Effect on Achievement, Attitude, and Self-Concept" (Lee Wise and Janet Scheer); "Heterogeneous versus Homogeneous Item Arrangements in…

The need for teachers to determine whether their students have the skills necessary to learn and to help their students develop missing skills is emphasized. It is felt that it is possible to teach both content and learning skills simultaneously without sacrificing content. This document offers informal, diagnostic testing devices that can be used…

These documents are three separate sets of student problems and teaching guides geared towards calculators. Series A is designed for pupils from ages 10 to 13; "B" is structured for 13 through 16, and "C" for 16 through 19. The materials are designed to provide activities for investigation and exploration of number properties and patterns that are…

A student-suggested project at an elementary-level mathematics laboratory using an adding machine to print a million twos is presented and described. Questions, problems, and activities that took place as the project was carried out are described. The process of producing twos presented all children with the necessity of gauging time intervals and…

This course, offered in the Option Y sequence of the high school mathematics program described in the Department of Education's Mathematics Program Guide, is designed to be less theoretical and more applications oriented than Algebra IA and IB. There are ten learner objectives for this course, which is designed along with Core Algebra to fulfill…

Twelve research reports related to mathematics education are abstracted and analyzed. Three of the reports deal with aspects of learning theory, three with topics in mathematics instruction (fractions, problem solving, and application orientation), two with aspects of computer assisted instruction, and one each with advanced placement,…

These materials were designed to help remedial students increase mathematics proficiency on topics found in the Regents Competency Testing Program. The activities developed come complete with questions, "cards," and/or sample gameboards. Included in each activity is a list of materials needed. Several different activities often use the…

Six regional conferences designed to provide educational decision-makers and teacher-leaders with problem solving and calculator experiences, samples of materials, problem resources, strategies, guidelines, and summaries of research results, were held during 1980. The focus was on junior high and secondary schools, with a special emphasis on…

Many of the suggestions that calculus instructors have published as articles from 1908 through 1973 are included in this book of readings. The main criterion for selecting an item was whether it would be helpful to teachers and students; therefore, those which dealt exclusively with curricular structure were not included. The selected articles are…