Describes a calculator-based lesson designed to use technology as a tool to enhance students' conceptual understanding of functions. (KHR)

Describes one pattern of reasoning observed in a mathematical activity with students in a grade 5 class and discusses ways in which the pattern is or is not mathematical. Describes patterns of reasoning in terms of ways of reasoning and degree of formulation of the reasoning. Distinguishes between mathematical reasoning and scientific reasoning in…

Presents a teaching experience with high school students in geometry class using hand signals that reinforce meaning of geometric concepts. (KHR)

Discusses three different writing assignments used in calculus courses. The assignments represent personal, informational, and blended purposes. (Author/MM)

Discusses certain transferable skills and a strategy for developing them via an intensive short course on mathematical modeling. Includes student reactions and comments on the course. Suggests that this course developed modeling as well as generic skills through teaching, learning, and assessment style. (Author/KHR)

Offers some tips to help make learning logs an integral part of mathematics instruction. Includes examples of learning logs. (KHR)

Describes the history of the unsolved moving sofa problem, presents one possible solution, and gives several suggestions for how this problem can be used in the classroom. (Author/NB)

Describes how mathematical puzzles and riddles can be implemented in the classroom to engage students in rich mathematical explorations and logical reasoning. (YDS)

Describes an activity in which students design credit cards and discover for themselves the mathematical realities of buying on credit. Employs multiple-intelligence theory to increase the chance that all students will be reached. (YDS)

Describes Accelerated Math (AM), a first-through-twelfth grade math instruction program developed by Renaissance Learning, Inc. States that, in AM, students are allowed to move at their own pace using computer-generated problems; software keeps records for teachers as well, allowing them to determine each student's status in the program. (NB)

Shows how mathematics is integrated into everyday hands-on activities and problem-solving situations in one preschool. Provides examples of how themes emerge from children's interests and are incorporated in classroom learning centers. Asserts that meaningful teaching methods and pictorial demonstrations and manipulatives engage preschoolers in…

Analyzes mathematics software programs to find engaging and easy-to-use software for integration into the elementary school mathematics curriculum. Discusses criteria for judging good software and useful classroom implementation. (KHR)

Describes how constructing concept maps and writing accompanying interpretive essays can be used in a Calculus I course to improve students' understanding of important concepts and help teachers assess students' knowledge. This combined approach allows students to explicitly communicate their knowledge and a chance to view mathematics as a…

Presents a mathematics activity that introduces proof by contradiction in a nonformal setting. This activity has the added benefit of helping students gain a greater understanding of the electoral college. (ASK)

Argues that teachers need help developing the knowledge and habits of mind to construct practices that embody the integration of assessment with instruction. Describes a study in which teachers try to link assessment with instruction through cases. (ASK)