This article presents a guided investigation into the spacial relationships between the centres of the squares in a Fibonacci tiling. It is essentially a lesson in number pattern, but includes work with surds, coordinate geometry, and some elementary use of complex numbers. The investigation could be presented to students in a number of ways…

This story is a chemical mystery with an emphasis on qualitative analysis, descriptive chemistry, and forensics. It is as well yet another article in the continuing series, first presented by Thomas Waddell and Thomas R. Rybolt, which presents a scientific problem in mystery format in the context of the popular and beloved characters of Sherlock…

We present a general formula for a triple product involving four real numbers. As a particular case, we get the sum of a triple product of four odd integers. Some interesting results are recovered. We derive a general formula for more than four odd numbers.

This mixed-methods study assessed the effects of Enhanced Anchored Instruction (EAI) on the math performance of adolescents with learning disabilities in math (MLD). A quasi-experimental pretest-posttest control group design with switching replications was used to measure students' computation and problem-solving skills on EAI compared to control…

This issue of ENC Focus focuses on the topic of inquiry and problem solving. Featured articles include: (1) "Inquiry in the Everyday World of Schools" (Ronald D. Anderson); (2) "In the Cascade Reservoir Restoration Project Students Tackle Real-World Problems" (Clint Kennedy with Advanced Biology Students from Cascade High…

Gifted elementary students at the Center for Gifted Education in Columbia, Missouri, participated in a seminar designed to teach them the fundamentals of chess and other strategy board games. Students learned that beginning chess is accessible to everyone, learned problem solving and concentration, and created their own strategy board games. (JDD)

Over the past decade, research on the use of technology in the mathematics classroom has focused primarily on issues of student learning and engagement. In this article, we focus on middle grades mathematics teachers' use of The Geometer's Sketchpad, and study both the decisions they make about when to use technology, and their motivations for…

The game of chess is recommended as a school activity. In addition to requiring that individuals become actively involved in a mentally demanding competition, its effects are stimulating, wholesome, and healthy. Several benefits accrue from the teaching and promoting of chess in schools. Chess limits the element of luck (teaching the importance of…

Inquiry is defined here as the scientist's method of problem solving. Presents a bent wire phenomenon activity designed to engage students in the active process of solving a problem in science. A model is proposed to explain the phenomenon. (MA)

Suggestions for five activities are presented. They include: ideas for several student problem-solving projects; preparing a flowsheet and program for 10 coin and dice games; using word processor formatting commands to create word designs; creating sounds; and writing a program to print out sums indefinitely. (JN)

Presents the problem of doubling dough by creating a mixture of dough that doubles in volume every minute when placed in a warm oven. Discusses ways of proposing this question in the classroom. (ASK)

Science centers can engage students; accommodate different learning styles and individual interests; help students become independent and confident learners; and encourage social skills among students. In this article, the author worked with third-grade students as they completed activities at learning centers during a week-long unit on simple…

This article presents some identities on the sum of the entries in the first half of a row in Pascal's triangle. The results were discovered while the author was working on a problem involving Laplace transforms, which are used in proving of the identities.

New methodologies for determining the pressure inside an unopened carbonated beverage are presented. Such investigations also help the students to think deeply about a subject, giving them better understanding.

In this note, it is shown that in a symmetric topological space, the pairs of sets separated by the topology determine the topology itself. It is then shown that when the codomain is symmetric, functions which separate only those pairs of sets that are already separated are continuous, generalizing a result found by M. Lynch.