Presented are student activities that involve two standard problems from geometry and calculus--the volume of a box and the bank shot on a pool table. Problem solving is emphasized as a method of inquiry and application with descriptions of the results using graphical, numerical, and physical models. (JJK)

Ancient Chinese mathematics has been the focus of many research studies and scholarly works from a historical perspective. However, no move has been made to investigate its role in the teaching and learning of mathematics. This pilot study examined the effects of an Ancient Chinese Mathematics Enrichment Programme (ACMEP) on the academic…

The purposes of this paper are: (1) to investigate the effects of SQUARE ONE TV on children's problem-solving behavior and their attitudes toward mathematics and (2) to indicate some connections between the result and the National Council of Teachers of Mathematics (NCTM)'s Curriculum and Evaluation Standards for School Mathematics. This paper…

An introduction to the Hupa number system is provided in this workbook, one in a series of numerous materials developed to promote the use of the Hupa language. The book is written in English with Hupa terms used only for the names of numbers. The opening pages present the numbers from 1-10, giving the numeral, the Hupa word, the English word, and…

Learning activities for using postage stamps in a variety of disciplines in elementary and secondary classrooms are presented. The book is divided into four sections. Following section 1, the introduction, section 2 presents 14 lesson plans, ranging in required class time from 15 minutes to several days. Each lesson focuses on a particular skill…

This monograph provides activities for beginning algebra students to develop an understanding of the meaning and use of letter symbols, to show applications of algebra in their own lives, and to develop an understanding of mathematical processes through investigation. The activities included were developed by considering the students' mathematical…

This collection of readings is primarily addressed to the teachers of the academically talented in mathematics. The readings touch upon a variety of topics, with a special focus on problem solving, applications and mathematical structure. The introductory article discusses the role of enrichment in teaching mathematics. The remaining four sections…

The first three units in this set of mathematical applications cover applications of calculus to economics. Under the title, The Distribution of Resources, are the following: 60-The Lorenz Curve; 61-The Equal Share Coefficient; and 62-The GINI Index. Each of these units contains a set of exercises, a model exam, and answers to both the exercises…

Three of the modules deal with applications of calculus to other mathematics. These are: 240-Pi is Irrational; 241-The Wallis Approximation of Pi; and 242-Buffon's Needle Experiment. The first of these units focuses on a proof of the irrational nature of pi, and provides exercises and answers. The second module of this group reviews the history of…

The Poisson probability distribution is seen to provide a mathematical model from which useful information can be obtained in practical applications. The distribution and some situations to which it applies are studied, and ways to find answers to practical questions are noted. The unit includes exercises and a model exam, and provides answers to…

Exercises for high school students are presented which entail designing computer programs to enable the computer to identify a geometrical figure as a specific type of triangle or quadrilateral, given its 2-dimensional coordinates. Computer programming skills required are not sophisticated, but a solution requires careful analysis of necessary and…

Discusses various representations of a curve and the relationships between them. Describes mathematical exercises which use Logo to derive a turtle procedure for graphically representing a cycloid. Provides a proof of the trigonometric series formula to show equality. (RT)

The needs of above-average junior high school students are discussed. A set of 'daily twisters,' or problems of various types, were collected, and examples are noted. Recommendations on content and pedagogy are described. (MNS)

This document contains two contributions: "Voyaging from Theory to Practice in Teaching: Measure Up" (Barbara J. Dougherty) and "Voyaging from Theory to Practice in Learning: Teacher Professional Development" (Joseph Zilliox). Hawaii is a place of diverse cultures, ethnicities, and traditions representing a myriad of global…

Describes the use of the Internet to investigate mathematical problems, create and share information, discover patterns and relationships, and find out more about the world. This unit investigates pet ownership and introduces children to telecommunications, the use of the computer as a tool, and scientific research methods. Other units address…