Multiplicative calculus is based on a multiplicative rate of change whereas the usual calculus is based on an additive rate of change. Describes some student investigations into multiplicative calculus, including an original student idea about multiplicative Euler's Method. (Author/ASK)

Some of the most provocative problems in mathematics concern logical paradoxes. Provides a series of paradoxes for students to consider. (CCM)

Continues analyzing some fundamental mathematical ideas on logic and proof. Provides some sample problems and their solutions. (ASK)

Presents hands-on activities to introduce the rhomboid and its parts. (ASK)

Investigates the mathematical ideas in iconographic designs such as sand scenes, yawalyu, site-path designs, and guruwari from the perspective of formal language theory and provides short formal grammars that generate the languages of designs. Suggests the pedagogical value of viewing Walpiri iconography as mathematics and discusses whether the…

Presents a problem introducing pupils to the ideas of consecutive and integer while practicing addition. Investigates the overall pattern of results with regard to formulating some general results, considers the algebra of the problem, and suggests proofs of why some numbers can and others cannot be formulated in this way. (ASK)

Presents a subtle version of a tangram puzzle in which students must put pieces in the right places to make the required design. (ASK)

Suggests scales as alternative representations of numerical concepts and operations that can be used as arithmetic-mean machines, adding machines, multiplication machines, and geometric-mean machines. (ASK)

Presents three mathematical activities that illustrate how quantities increase or decrease exponentially. (ASK)

Suggests that issues surrounding the teaching of algorithms focus not on whether to teach them but rather on balancing and connecting the development of algorithmic thinking. Presents an approach to help students develop their algorithmic thinking. Contains 18 references. (ASK)

Presents solutions for a problem concerning doubling a recipe from a previous article on number concepts in the October 1997 issue. (ASK)

Shares how students worked on a geometry activity that emphasizes patterns featured in this journal. (ASK)

Discusses the role of play in the elementary mathematics curriculum. Demonstrates that well planned play can add rigor to the second grade mathematics curriculum. (ASK)

Presents an outdoor activity requiring students to collect data and suggests some possible applications of the data. (ASK)

Integrates different geometries and blends several topics that have important applications in both higher mathematics and other disciplines. Aims to make these topics more attractive and understandable to high school students in a way that reinforces logical thinking with visual understanding obtained through computer usage. Contains 28…