Reports on a mathematical investigation of fractals and highlights the thinking involved, problem solving strategies used, generalizing skills required, the role of technology, and the role of mathematics. (ASK)

Identifies some trends in geometry teaching and illustrates them with reference to some of the more common software packages and their application and possible implications for junior high school geometry teaching and learning. (Contains 23 references.) (ASK)

Describes some of the thinking associated with the improvement of tasks, suggesting some guidelines for others to consider in producing written mathematics materials for young students. Provides examples of written mathematics materials. (ASK)

Reviews some fundamental mathematical ideas on sets and counting. Provides problems based on those ideas and their answers. (ASK)

Presents the results of a study that aimed to incorporate a wide range of problem posing situations into students' problem solving in a classroom project with mathematically-able students in the first two years of secondary school. (Contains 15 references.) (ASK)

Presents algebra course curriculum that utilizes a symbolic algebra system called PAD (Power, Application, and Depth). Demonstrates an example using PAD and points out that mathematics courses using this software present new ways for students to launch the power of algebraic thinking. (ASK)

Presents a Monte Carlo simulation on probability using a telephone directory as a pseudorandom-number generator. Claims that Monte Carlo simulations offer a way to teach probability concretely and with understanding and that students enjoy the probability experiments. (ASK)

Argues that assessment is not consistent with curricular or pedagogical reforms. Presents an assessment format and several variations that incorporate both individual and group work. Outlines a testing format that promotes the alignment of the assessment of student mathematical achievement and skills with some of the curricular reforms occurring…

Presents a ping-pong activity to teach the coordinate plane that puts students in a position to experience and relate to the coordinate plane in a manner that evokes their visual, spatial, and physical senses while linking the plane with a familiar object. (ASK)

Presents an activity for determining the volume of a solid revolved around an horizontal axis using graphing calculators and computers. (ASK)

Presents an activity on solving equations of the form ax+b=Sqr(cx=d) using graphing calculators. (ASK)

Focuses on the challenge of learning what students know by doing a case study on one student. Recommends that knowing students is a domain worthy of development which promises increased understanding and consequently new challenges. (ASK)

Presents results from two skills surveys of Build a Book (BAB) classes in which students learn geometry by writing and editing their own textbook. Points out that this approach is reasonable and that students who had BAB classes in prior years could identify important areas of learning in addition to geometry. (ASK)

Presents an activity for constructing and solving radical equations which can be done with or without the use of graphing calculators. Highlights one method that two students used to solve radical equations. (ASK)

Presents an activity on soap-bubble geometry using a guessing contest, explanations, and demonstrations that allow students to mesh observation and mathematical reasoning to discover that mathematics is much more than just number crunching. (ASK)