The North Carolina End-of-Course Testing Program was established to provide student, school, and school system information about achievement in high school courses. The 59,723 students who took the Algebra I End-of-Course Test in 1987-88 were a subgroup of the school population in the eighth through twelfth grades. The proportion of students…

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…

The "General Mathematics" series contains six modules, intended to help students become more competent with basic mathematics. The Measurements module is designed to allow students to build or increase their level of understanding of measurements. The module helps students develop those skills necessary to successfully understand and use basic…

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…

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…

This document contains a set of standards for mathematics curricula in North American schools (K-12) and for evaluating the quality of both the curriculum and student achievement. In the introduction, the background, need, and overview of these standards are described. A total of 54 standards are divided into four categories: (1) "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…

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…

A discussion of the relationship between second language proficiency and mathematics performance argues that the learning of a second language and mathematics can be effectively integrated. The conditions conducive to second language acquisition in mathematics contexts, the communicative competence needed for mathematics, and the link between…

This document is Volume I of a two-part course designed to improve mathematical proficiency and understanding as the student is given practice in relevant problem-solving situations. It includes the mathematics skills needed to make sound consumer decisions. The purpose of this course is to review, reinforce and extend concepts learned in the…

An evaluation of the community school mathematics program at five sites involved developing trial instructional materials, inservice training, and careful monitoring of implementation over six weeks. English and mathematics achievement instruments and cognitive development measures were administered to 201 pupils in grades two, four and six.…

This document is divided into two major sections. The first part consists of approximately 60 papers which were presented at the fifth conference of the International Group on the Psychology of Mathematics Education, which was held in Grenoble, France, in July 1981. The papers are categorized into the following major themes: (1) number…

Abstracts and comments are presented for 11 studies. There are two each on aspects of problem solving, mathematics achievement, and estimation. The remainder cover topics related to cognitive development, cognitive processes, evaluation, numeration, and student errors. Research as reported in RIE and CIJE between July and September 1982 is also…

This material is designed to examine the research on how children acquire basic addition and subtraction concepts and skills. Two major lines of theories of the development of basic number concepts, called logical concept and quantification skill approaches, are identified. Major recurring issues in the development of early number concepts are…

This unit introduces analytic solutions of ordinary differential equations. The objective is to enable the student to decide whether a given function solves a given differential equation. Examples of problems from biology and chemistry are covered. Problem sets, quizzes, and a model exam are included, and answers to all items are provided. The…