Presents examples of algebra from the field of accounting including proportional ownership of stock, separation of a loan payment into principal and interest portions, depreciation methods, and salary withholdings computations. (MKR)

Presents a mathematics problem on how a sailor decides the shortest distance between two points by using a calculator. (ASK)

Discusses how different meanings can be given to the proof at different levels and branches of mathematics education. (ASK)

Describes a study of high school students that investigated the kind of knowledge bases mathematics students can develop and the difficulties that may appear. Discusses knowledge-base development within LISD (Learning through Intelligent Software Development), an approach to teaching and learning mathematical problem solving, specifically word…

Presents an activity that utilizes a digital camera to capture a stream of water from a faucet to study quadratic behavior using graphing calculators. (ASK)

Presents an activity that integrates biology and mathematics. Involves students in actual biological research and uses geometry, statistics, and computers to interpret data about the leaves of a tree. (ASK)

Presents graphing calculator activities that rely on resolving the magnitude and direction form of vectors into their Cartesian components so that they are suitable as applications for vector or trigonometric relationships for years 10-12. (ASK)

Presents an activity using fractal cards--eye-catching pop-up cards--by applying simple iterative processes to single sheets of paper. This activity incorporates the concepts of measurement, number systems, sequences, series, limits, recursion, iteration, self-similarity, and fractional dimensions. Contains 12 references. (ASK)

Presents an activity for eighth-grade students and beyond to explore relationships between and among the areas of various polygons. Emphasizes that students should be given the opportunity to design their own examples. (ASK)

Reviews an alternative patterning approach and highlights the difficulties it can present when students lack the requisite skills and knowledge of processes. Describes how this approach can be used to introduce elementary algebraic ideas and offers recommendations for establishing these important understandings. (ASK)

Provides an activity to investigate and construct an inductive proof. Claims that this particular example helps students better understand the nature of inductive reasoning and inductive proofs since the expression can be investigated by spreadsheets or calculators, hypothesized, tested, and modeled, both physically and pictorially, to at least…

Describes how a researcher used student cooperative-learning teams to contribute test items. Discusses the questions generated by students and concludes that teachers have the flexibility to encourage students to generate and solve their own problems. Also concludes that students have the opportunity to be creative and formulate and pose questions…

Describes a spreadsheet model for approximating square roots then extends that model into the intriguing domain of chaos. Focuses on the use of a dynamic model to promote habits of mathematical reasoning, conjecturing, and graphing analysis that support mathematics learning across grade levels. (ASK)

Describes a high school mathematics teacher's experiences mentoring new teachers in one public school district, noting the importance of: establishing a community of learners for teachers, understanding that teachers learn better if they have a vested personal interest in the topic, and providing ongoing support. The paper presents examples of…

Presents an extended hands-on project for eighth-grade mathematics classrooms in which students are to determine the probability that a local creek would flood. (ASK)