Recent reports indicate that although 17-year-old high school students know some basic addition and subtraction facts, few of the students are capable of solving multi-step mathematics problems. A non-equivalent pretest-posttest control group design study examined the effects of a teaching method emphasizing manipulative use on the mathematics…

This document offers instructional materials for a 32-hour course on math operations involving graphs/statistics, measurement (English and metric), geometry, exponential notation, and scientific notation as applied in the workplace. The course was part of a workplace literacy project developed by Mercer County Community College (New Jersey) and…

This qualitative assessment of tenth-grade students' (n=17) problem solving focused on the nature of students' thinking, their problem-solving strategies and heuristics, the mathematical approaches they selected, and the ways they monitored their own progress. The problem, presented orally and with photographs in a task-based interview, involved a…

The objectives and the scope and sequence for the elementary school mathematics program of the Denver Public Schools (Colorado) are presented. The guide begins with a statement of the philosophy and general objectives of the K-12 mathematics program and a discussion of the methods of achieving those objectives. Several important ideas and concepts…

In 1980-82, the Second International Mathematics Study (SIMS) was conducted in 20 countries, including Japan. This study was conducted by the International Association for the Evaluation of Educational Achievement (IEA). This paper constitutes a summary of the research relating to the level of mathematics achievement of Japanese students. The…

This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world…

The Skill Acquisition Measures (SAM) were designed by the Lancaster (Pennsylvania) School District as criterion referenced tests for mathematics. This manual consists of copies of the student test forms for level 4, with additional information for the teacher's use. Each of the test items is presented with the correct answers and the criteria for…

Peer oral protocols and group oral protocols were assessed for their use in improving certain analytic skills of undergraduate college students at a liberal arts college in Alabama. In association with the study, the theoretical and experimental literature on the use of peer and group educational interventions is outlined briefly. Subjects were…

These item specifications were developed as a part of the Arkansas "Minimum Performance Testing Program" (MPT). There is one item specification for each instructional objective included in the MPT. The purpose of an item specification is to provide an overview of the general content and format of test items used to measure an…

This collection of learning activities is intended for use in reinforcing mathematics instruction as it relates to building maintenance. Fifty activity sheets are provided. These are organized into units on the following topics: numeration, adding whole numbers, subtracting whole numbers, multiplying whole numbers, dividing whole numbers,…

This collection of papers was solicited from a variety of educators in an effort to provide direction to teachers, curriculum developers and textbook publishers on topics in mathematics education that are consistently mentioned in recent national reports and study groups. The consensus of reports sponsored by various professional associations…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part two of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the second-year course, designed for 10th grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 61 lessons in this…

Bilingual mathematics competencies and competency-coordinated activities are provided in the four sections of this curriculum guide for kindergarten (pre-operational) and grades 1-3 (concrete-operational) children. Topic areas for kindergarten include: classification (logic); comparing/ordering/graphing; quantitative; measurement; geometry;…

The kindergarten level curriculum guide for bilingual education of Arabic-speaking children in the Chicago public schools is divided into two difficulty levels and is designed to facilitate acquisition of mathematical concepts by presenting them in the children's native language. At each level, the concepts covered include the meaning of numbers,…