This textbook is an analysis of the system of mathematical instruction which has been steadily pursued at the United States Military Academy over a quarter of a century and which has given to that institution its celebrity as a school of mathematical science. The book covers logic as science and art, mathematical science, and the utility of…

Demonstrated is the use of BASIC computer programs to simulate a binomial experiment and test a simple statistical hypothesis. The theoretical results are reached with the third programing attempt. All results, as well as computer programs, are included. (JJK)

Presented are eight student worksheets of block problems. Included are diagrams of the squares and hollow squares involved and a separate answer sheet for the problems. (CW)

The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…

Presented is material designed to be a set of guidelines and suggestions for effective tutoring in mathematics. The prospective tutor, although frequently successful in mathematics, usually lacks teaching skills. While the document is short enough to be read in a single sitting, it is felt that the ideas and suggestions provided will be most…

This publication was developed by the Ecuador Nonformal Education Project, which is a joint project of the Ministry of Education in Ecuador and the Center for International Education at the University of Massachusetts. It presents ten mathematical fluency games designed to offer practice in the component skills necessary for performing arithmetic…

Analyzes a simple boom structure and assesses its reliability using elementary engineering mechanics. Demonstrates the power and utility of Monte-Carlo simulation by showing that such a simulation can be implemented more readily with results that compare favorably to the theoretical calculations. (Author/MM)

Presented is an activity which examines an arithmetic concept from a geometric point of view. Objectives, prerequisite learning, and procedures are discussed. Four worksheets are provided with answers. (CW)

The sign-chart method is often used to solve polynomial inequalities involving products or quotients. Presented are examples that extend this method to solve higher-degree polynomial, radical, exponential, logarithmic, absolute-value, and trigonometric inequalities and whose graphic representations lead to intuitive discussions of continuity. (MDH)

Provided are the activity sheets for students and the teaching guide for this middle school geometry activity. Materials, prerequisites, objectives, and procedures are listed. Extension activities are suggested. An answer key is included. (CW)

Discusses activities to help students make visual generalizations about power and exponential functions, methods to determine an approximate function represented by data using logarithms, hands-on activities, and student activity sheets. Includes a Pascal Turbo computer program which generates random numbers. (MKR)

The roles and uses of symbols in mathematical thinking are discussed. The thinking process is further subdivided into specialization, generalization, and reasoning. (MP)

One teacher's approach to the development of number sense while using calculators is outlined. The relationship between number sense and calculation is discussed. Teaching strategies and two worksheets used in this approach are presented. (CW)

The introduction of addition, subtraction, multiplication, and division to children is seen to require a compatible and sequential methodology. The sequence of learning is seen as: (1) physical action; (2) emotional involvement; and (3) conceptual learning. A learning sequence should involve the following steps: (1) connectinq number experience to…

Presents activities in problem solving for levels K-2, 3-5, and 6-8 for each week of the month of March. Activities include open-ended problems and games that engage students' intellect and interest while working individually and cooperatively. (MDH)