Discussed is an application of the computer software package, "Mathematica," to solve typical optimization problems from freshman calculus. An example of the use of this method is provided. (CW)

An activity designed as an introduction to High School geometry empowering students to see relationships and make geometric connections. A list of student generated relationships based on student constructed and manipulated diagrams is included. Discussion guidelines are suggested. (DE)

Describes a three-week unit that explores the mathematical concept of spatial sense through literature books, moving from activities of tiling, to tessellation, to quilting, and ending with transfer of patterns to T-shirts. (BB)

The main thesis of the paper is that geometry deals with mental entities (the so-called geometrical figures) which possess simultaneously conceptual and figural characters. The paper analyzes the internal tensions which may arise in figural concepts because of their double nature, developmental aspects, and didactical implications. (Author/MDH)

Discusses the vital place of proofs in geometry classes. Argues that, although inductive geometry with computer software certainly makes theorems come alive, proofs lead to insight and understanding that allow students to extend the concepts that they see in examples. Presents a theorem, its proof, and a computer exercise. (ASK)

Presents a 12th-grade class project on measuring velocity-dependent forces encountered in two common forms of locomotion--rollerblading and cycling. (WRM)

Describes a modification to an inexpensive pinewood derby car that can be used to demonstrate the summation of the force vectors important in sailing. (WRM)

A major cause of the difficulty undergraduate mathematics majors have with the transition from elementary to advanced mathematics courses is that advanced courses require students to understand how mathematics is created. Describes a course whose main purpose is to introduce students to the creative process in mathematics. The course consists of…

In today's society, changes in technology have made estimation skills more important than ever in the development of mathematical power. Presents a schoolwide activity in which students participate in a mathematical contest on estimation. Concludes that, in devising their estimates, students have practiced their problem-solving and sense-making…

Presents a brief definition and examples of residue designs while sharing some of the algebraic thought that a student used to form generalizations about the patterns discovered during the investigations of residue designs. (ASK)

U.S. mathematics education has been criticized for being too broad. This article examines ways middle school students use simple problems and situations to foster a deeper understanding of underlying concepts. Presents a sample area and perimeter problem, describes extending the problem using tiles to determine minimum perimeter, and discusses…

These new paperbacks and recent paperback reprints present simple and complex math concepts as engaging, challenging puzzles and can make math fun for children from preschool through primary grades. (Author/AEF)

Analyzes the use of the commutative property for solving multiplication problems by children who learn about multiplication in schools and by street vendors who solve multiplication problem through repeated addition. Concludes that the use of commutativity to solve multiplication problems is closely related to the use of multiplication. Contains…

The effectiveness of simulations for teaching statistical concepts was compared to the effectiveness of a textbook. Subjects were 115 college students. Subjects trained by simulation performed significantly better than those trained with a textbook. Results support the increasing use of simulation in education and training. (AEF)

Discusses a common misunderstanding demonstrated by many students in basic mathematics courses: not knowing how to properly "cancel" factors in simplifying mathematical equations. Asserts that "crossing-out" or "canceling" is not a valid mathematical operation, and that instructors should be wary about using these terms because of the ease with…