This book features a guide to teaching mathematics more effectively. Examining the different ways students acquire mathematical skills, it helps teachers develop flexible teaching methods that suit these varied ways of learning. Common areas of learning difficulty in mathematics and why students fail, ways for teachers to determine gaps in…

Computer-enhanced simulation of models permits students to become subjectively involved in interaction with the computer. A method for developing a computer simulation is described, and three examples of computer simulations are given. (JN)

The relationship between logic and mathematics is examined. Four basic concepts inherent in symbolic logic that are typically included in ninth- and tenth-grade mathematics programs are reviewed. Symbolic logic is advocated for all students who will study algebra and/or geometry. (MP)

Science and mathematics curricula have undergone major changes in the United States during the past 30 years. Many of the science courses developed and implemented in the 1960s were expensive, difficult, and too theoretical for students. Mathematics curricula suffered similar problems. Indonesia's 1994 curriculum-reform effort can learn from these…

States that problem-solving skills receive inadequate attention in many mathematics classrooms, and that preservice teacher-education programs can address the lack of instruction in problem solving. Provides rationale for teaching problem solving in the middle grades as an alternative to textbook exercises and worksheets and as a means of…

This brochure explains a number of aspects of the standards established by the National Council of Teachers of Mathematics for mathematics education. The three sets of standards are: (1) Curriculum and Evaluation Standards; (2) Professional Standards for Teaching Mathematics; and (3) Assessment Standards for School Mathematics. Contained in the…

Examples are provided which demonstrate the use of the computer as an instructional aid for the algebra curriculum. While the basic content of an algebra course would remain intact, computer technology can enhance and expand methods of algebra instruction. (JN)

Some impressions derived through a two-week study visit to the Soviet Union are presented. Background information, kindergartens, curriculum, various types of schools, and mathematics teacher-training are each considered. Finally, mathematics problems from various grade levels are presented. (MNS)

Discussed are some applications of mathematics involved in actuarial science which may be taught in high school mathematics classes. Described are the importance of approximate solutions, multiple answers, and selling the solution to a problem. (CW)

Discusses using a computer spreadsheet's graphing capabilities to assist grade 8-12 algebra students to see equations and their solutions in new ways. Describes and illustrates the solution of two equations and an inequality using ClarisWorks, or Microsoft Excel or Works spreadsheet. Discusses "Curriculum and Evaluation Standards for School…

Described is a two-week summer institute with 57 Ohio teachers in grades K-12. The teachers were given experiences in problem solving to help them broaden perceptions of real problem solving. Sixteen problem-solving strategies and four illustrative problems are included, and teachers' evaluative comments are discussed. (MNS)

This book is dedicated to George Polya, who focused on problem solving as the means for teaching and learning mathematics. The first chapter is a reprint of his article "On Learning, Teaching, and Learning Teaching." Then, G. L. Alexanderson paints a portrait of "George Polya, Teacher," including some anecdotes that exemplify…

This document notes that the traditional elementary school mathematics curriculum focused on computation. Data from the National Assessment of Educational Progress and other tests in states where minimum competencies have been established are thought to indicate computation-oriented curriculum has not produced the desired results. Further, the…

Presented, in abridged form, are recommendations found in "An Agenda for Action," for special note by secondary school administrators as they carry out their responsibilities for curriculum development and coordination. It is felt that school administrators and curriculum supervisors often have neither the time nor the opportunity to…

This booklet provides information to parents, students, teachers, and community members about the new mathematics curriculum in western Canada that was developed as a result of the Common Curriculum Framework for K-12 Mathematics. The curriculum represents a dynamic approach to mathematics with problem solving as the main focus for all grade…