Presented is the problem of determining alternative schedules for major league baseball. Equations of the schedule, conditions on the solutions, and solutions are discussed. (CW)

Develops properties of tasks that are pedagogically efficient and allow students to discover mathematical concepts for themselves. Illustrates the structure and philosophy of powerful tasks for the concept of angle. Presents seven examples of powerful tasks, including two involving two-dimensional graphic systems. (Contains 39 references.)…

Investigates several problems with the sequences of numbers known as the Catalan numbers and the Bell numbers. Finds that the problems are appropriate for both pre- and in-service teachers, as well as students studying discrete mathematics. (Author/CCM)

The celebration of an annual event turned into a 5-week project on medieval life for a kindergarten class. Children were active participants in the planning and execution of the project in which they created a medieval kingdom. A variety of activities enabled the children to further develop skills and expand their knowledge of the topic. (TJQ)

A middle school science teacher describes the learning and thinking processes of his class as they worked and played with pendulums and learned to build a swing that could tell time. The article illustrates how students can learn the value of the scientific method for problem solving. (DB)

Describes types of puppets, including finger, glove, hand, shadow, marionette, and mechanical. Gives reasons for using puppets with children ages two through seven, including enhancing language and thinking skills. Explains how teachers can introduce tough issues such as AIDS and abuse through puppetry. Details a sequence of activities for…

Used a penny arcade game concept constructed by preschoolers as a learning tool. Found that the interests of children were clearly visible through their use of peer teaching, collaboration, problem solving, divergent thinking, and use of multiple strategies. Found children were tuned in to learning due to a sense of ownership and empowerment. (SD)

Documents a case of model-building in biology through microanalysis of one student's interaction with "Science for Living: The Circulatory System (SFL)", an interactive multimedia resource prototype for research. Describes the student's learning goals, gains, and activities with particular attention to interactions with representations,…

This article describes using helium balloons to introduce students to integers and integer arithmetic. (Contains 9 figures.)

This article explores the algebra that can be uncovered in many middle-grades mathematics tasks that, on first inspection, do not appear to be algebraic. It shows connections to the other four Standards that occur in traditional algebra problems, and it offers strategies for modifying activities so that they can be used to foster algebraic…

Mathematical modeling is explored as both problem posing and problem solving from two perspectives, that of the child and the teacher. Mathematical modeling provides rich learning experiences for elementary school children and their teachers.

This book provides descriptions of 76 engaging activities that can be used to teach children, adolescents, and adults valuable social, emotional, and problem-solving skills. Some of the skills taught include identifying and expressing one's own emotions, identifying emotions in others, coping with stressors, making and keeping friends, setting…

This paper describes a creative approach for training counselor and counselor educators that provides collaborative interactions among students and faculty in several university training programs. Structured around a problem-solving activity and self-reflection questionnaires, undergraduate teachers-in-training were given an opportunity to receive…

In this article, we discuss key requirements for collecting behavioural data concerning technology-supported collaborative learning activities. It is argued that the common practice of analysis of computer generated log files of user interactions with software tools is not enough for building a thorough view of the activity. Instead, more…

This article describes an activity where children develop reasoning skills by using mathematical clues to decide whether there is one, more than one, or no solutions to a problem. (Contains 4 figures.)