Collections of small objects have often been used in mathematics programs to develop classification and patterning skills. This book synthesizes that body of experience to create a new and original sequence of activities that build upon each other in order to draw out the greatest possible educational richness from the treasures. Treasure Boxes is…

Describes two studies of mathematical problem solving using an episode from "The Adventures of Jasper Woodbury," a set of curriculum materials that afford complex problem-solving opportunities. Discussion focuses on characteristics of problems that make solutions difficult, kinds of reasoning that dyadic interactions support, and…

Describes one unit on analyzing and writing mystery stories in a problem-solving seminar for seventh graders that incorporates the use of television, cooperative learning, and reading and writing in the mathematics class. Provides a sample activity sheet and examples of seventh-grade mystery stories. (Contains 14 references.) (MDH)

Presents a historical and content background of the metric system. Describes 1 of a series of integrated hands-on lessons for grades 4-7 to teach the measuring of volume with metrics. Provides a worksheet for the lesson and a concept map of the metric system. (MDH)

Presents three teaching ideas: (1) a scoring rubric to assess students' ability to communicate attempts at solving homework problems; (2) a three-part measurement activity using trigonometry, maps, and compasses to locate hidden treasure; and (3) a demonstration of the effects of numerical coefficients on graphs of quadratic functions. (MDH)

Reviews the research illustrating the wide-ranging benefits of open-ended computer programs such as LOGO. Considers the ways in which these programs develop young children's subject-matter knowledge and problem-solving and socioemotional competencies. (BB)

Describes a study in which average eighth graders in an urban junior high school were placed into prealgebra classes normally reserved for high achievers. The average achievers in the prealgebra classes understood mathematical concepts better and enrolled in more advanced mathematics classes during high school, than did their cohorts. (GLR)

This paper describes (1) the role of reflection in learning and teaching as presented at a Philippines-Australia Science and Mathematics Education Project training program; (2) the use of writing as a tool for reflection; and (3) examples of teacher reactions to the training on reflection. (25 references) (MDH)

Discusses the use of technology in solving compound interest-rate problems that can be modeled by linear relationships. Uses a graphing calculator to solve the specific problem of determining the amount of money that can be borrowed to buy a car for a given monthly payment and interest rate. (MDH)

Suggests activities that use a variety of communication modes to help students develop a deeper understanding of mathematics. Highlights include writing projects such as student journals and creating word problems; problem-solving software; the use of games, oral presentations, charts, models, and graphs; reading activities; and developing…

Presents the six major components of the Directed Reading Activity strategy: Developing Vocabulary, Building Background and motivation, Setting the Purpose, Guiding Silent Reading, Questioning to Determine Comprehension, and Rereading, as applied to mathematical problem solving, resulting in a directed mathematics activity. (MDH)

Presents the method of employing student-written playlets and a technique called "stage freeze" to help students identify appropriate operations during problem solving. Provides five sample playlets, a description of the method, and several beneficial results from using the method. (MDH)

Offers a field-tested stock market unit designed to develop mathematical skills involving fractions and decimals, basic understanding of the stock market, and hypothesis testing skills in real world situations. Includes tables displaying questions, tally sheets, and instructions, as well as a list of related activities. (MDH)

The opinions of 98 Australian educational experts concerning mathematics skills necessary for future numeracy were solicited. The qualitative comments were incorporated into three scenarios reflecting alternative visions for the future: a careful scenario, a futuristic scenario, and a process scenario. (24 references) (MDH)

Describes "Family Computers," an educational program developed by EQUALS that brings families together weekly to have fun with mathematics while using computers. Discusses software selection, provides a lesson plan for grades 4-8, and presents 7 tips for instructors. (MDH)