The view of the researcher is that students in the upper elementary to middle school range need to increase their problem-solving skills by making logical deductions and organizing and structuring their thoughts through the use of word problems. Giving children a daily word problem challenged and introduced them to the lesson. This activity…

This book features a set of problems assembled to reflect the criteria of the mathematics portion of the North Carolina High School Comprehensive Test. The problems are not necessarily suited to timed situations but rather are intended for classroom use by teachers to review high school mathematics and build upon concepts and skills developed in…

Author intended to illustrate how mathematics could be used as a humanistic enterprise to convey knowledge and attitudes towards the world. (Author/RK)

Presents historical development on the construction of magic squares. Techniques presented for construction of even-numbered magic squares, and in particular the four-by-four magic square. (RP)

Helping students understand the round-off error is the focus. A computer program for Fibonacci numbers illustrates the point, which is then described mathematically. (MNS)

How writing skills are used in remedial mathematics classes to help college students attain better problem-solving achievement is described. Data affirm the value of the approach. (MNS)

Details are provided of a seminar conducted at Loyola University on the construction and criticism of proofs. The seminar is geared towards sophomore mathematics and computer science majors. It is felt that the approach fills an important need in the mathematics curriculum. (MP)

The symposium is seen to create an opportunity for students to understand the way mathematics is actually used in their own fields and to understand both their own potential as mathematics users and inherent difficulties in modeling. The symposium acts as a capstone for a two-semester, introductory calculus course. (MP)

The focus is on suggestions, with examples, for teaching estimation skills. Estimating can be a very enjoyable as well as a very useful part of mathematics, helping to improve attitudes of pupils toward the subject by providing success. Estimation is shown not to be synonymous with mental arithmetic. (MP)

The harmonic mean is defined, and examples of problems viewed suitable for classroom exploration are presented. Such exercises provide many opportunities for students to engage in interesting nontrivial problem-solving activities and practice on many algebraic skills. Class discussion of the arithmetic, geometric, and harmonic means is suggested.…

Two orientation problems and six sample worksheets that stimulate students to use a complete conjecture-proving sequence are shared. The view promoted is that pupils can gain experience in conjecturing and in writing proofs that mirror their logical thinking through work with a careful sequence of activities. (MP)

An applications problem, which illustrates an important technique in mathematical applications, is presented and discussed. (MK)

The way that fractions are taught to fourth-grade pupils at the Village Community School in New York City is detailed. The approach is thought to make the often frightening symbols of fractions into something that even beginning students find meaningful. Meaning rather than computational technique is emphasized. (MP)

The problems involved in making reservations for airline flights is discussed in creating a mathematical model designed to maximize an airline's income. One issue not considered in the model is any public relations problem the airline may have. The model does take into account the issue of denied boarding compensation. (MP)

Focusing on sports-oriented themes, activities that present computation and problem-solving examples that involve fractions, decimals, and percent are discussed. Worksheet masters suitable for duplication for classroom use are provided. (MP)