Describes how improving mathematical arguments improves classroom discourse through a classroom activity. (YDS)

Describes an engaging project in which students have to design and construct a three-dimensional candy box that would appeal to children. Requires students to make the box out of prisms, pyramids, or cylinders, determine the surface area and volume of the solids, and write a persuasive business letter. (YDS)

Describes a professional development project to increase teachers' understanding of proportional reasoning, the thinking patterns associated with proportional reasoning, and the applications of proportional reasoning across the middle-grades curriculum. (YDS)

Reports on a project in which a 6th grade class determined the type of trash being thrown away on their school grounds through data collection, analysis, and graphing. (YDS)

Presents a simple method for estimating the volatility of stock prices and uses a spreadsheet to apply the method to actual stock prices. This method is an application of parameter estimation and can be used in an introductory statistics course. (KHR)

Investigates uses of interactive geometry software to enhance students' understanding and reasoning about two-dimensional shapes. Describes basic principles that underlie high-quality geometry instruction. Presents examples that illustrate how appropriate use of dynamic software can enhance students' geometric reasoning. (KHR)

Describes a professional development activity that offers a way for teachers to analyze their current classroom discourse practices and move toward the goal of dynamic and productive mathematical discourse. (ASK)

Discusses the use of computers to teach proofs. Presents some possibilities of computer use in teaching proofs. (ASK)

Emphasizes the importance of proofs and offers examples and ideas that might help educators develop students' mathematical reasoning skills. (ASK)

Two types of activities help parents stimulate children's numerical thinking. Describes one type that involves highlighting everyday situations and another that includes group games. Presents a selection of games for children and parents that encourage children to develop number relationships. (ASK)

Describes computer activities that offer middle school students opportunities to cooperatively explore problem situations and connect mathematical understandings to each other, to their experiences, and to other disciplines. Contains 19 references. (Author/ASK)

Offers ideas for 15 active learning experiences that use the concept of "10" for 3- to 5-year olds. Included are mathematics activities, language activities, and music and movement activities. Each activity description includes the objective, a list of materials needed, and steps for completing the activity. (KB)

Presents a problem that requires solving a card problem by exploring patterns that will lead to a logical solution. Involves students in developing and analyzing their own algorithms as well as discussing their reasoning with peers. (ASK)

Presents a teacher's experiences with teaching fractions by employing the constructivist approach. Concludes that children will go much further with depth, pleasure, and confidence if they are allowed to construct their own mathematics to make sense to them every step of the way. (ASK)

Describes an activity designed to connect geometry with real life for seventh grade students. This activity centers on an elementary investigation of the rigidity characteristics of triangles. Students also discuss the similarities and differences of polygons. (ASK)