Describes the nature of investigations and their uses in mathematics education. The three types of investigation described, whimsical, real, and mathematical, are defined and illustrated. For each type of investigation, mathematical content and problem-solving strategies are identified, and a solution method is presented. (SLD)

Looked at factors influencing women's attitude toward multiple roles. Examined women aspiring to both traditional and nontraditional occupations. Results indicate that traditionality of career choice moderated the effect of personal agency on commitment to multiple roles and independence. Positive problem-solving appraisal factors influenced more…

Describes how the author used many versions of the Cinderella story as a springboard for a variety of activities in her sixth-grade class, including discussion of fairy tale elements, aspects of story structure, summarizing, and problem-solving activities. (SR)

Gives a step-by-step description of a problem-solving microscale chemistry laboratory to show how this implementation of problem-solving teaching can be put into practice. Pedagogical and practical issues are discussed. (DKM)

Describes the use of math journals in one kindergarten classroom. Asserts that use of the journals, in which children record their problem-solving processes, makes them think about and use various symbols to represent their thoughts; keeps them actively involved in reasoning, comparing, counting, and other mathematical concepts; and encourages…

Focuses on the development of a middle school's meaningful problem-based computer and technology education program. Discusses constructing the bridge between in-school and out-of-school learning by preparing real-life situations in the classroom. Highlights the use of technology, especially computers, by focusing on problem posing and problem…

Presents historical mathematics to students. Suggests allowing students to have two methods of problem solving with a graphing calculator to allow for a visual result. Indicates that students should have more than one opportunity to experience a solution to a problem, a variety of contexts for the problem, and an opportunity to communicate. (ASK)

Presents a summary of the studies done by the Edinburgh Centre for Mathematical Education (ECME) on the use of practical activities in secondary schools. Argues that teachers may remain doubtful about the benefits of practical activities until they try them for themselves. (ASK)

Draws from studies in the sociology of scientific knowledge to create a new perspective for understanding school science. Merges ethnography and discourse analysis to study science-in-the-making in a physics classroom. Investigates local conceptual ecologies. Contains 55 references. (DDR)

Presents several examples of investigations which demonstrate the following: (1) algebra is connected to other mathematical topics; (2) algebra is an effective tool for representing patterns and relationships; and (3) algebra is an effective tool for analyzing patterns. (DDR)

Outlines Piaget's late ideas on categories and morphisms and the impact of these ideas on the comprehension of the inclusion relationship and the solution of arithmetic problems. Reports a study in which fourth through sixth graders were given arithmetic problems involving two known quantities associated with changes rather than states. Identified…

Reports on research and educational findings using the Inventory of Cognitive Biases in Medicine (ICBM). The ICBM was administered to medical students as well as practicing physicians and susceptibility to cognitive bias was found to be substantial among both groups. Concludes that educational strategies in the classroom and clinical settings may…

Analyzed conceptual and linguistic complexities of matching situation word problems. Found a four-level progression in conceptualizing and solving these problems: Relational ("who had more/less" but not "how much more/less"); Language Cue (equalizing or compare language); Understand Matching Situations (difference between two…

Presents two problems posed to kindergarten children to challenge and to encourage discourse among the students working in small groups of 8 to 10 children. Results showed various levels of understanding and demonstrated various approaches which serve to give the teacher insight into the level of understanding of the class and the possible need to…

Discusses how teachers and instructional designers can encourage critical thinking in students through epistemic games, reflective knowledge-generating activities that can be created for any knowledge domain. Provides examples for various subjects. Presents a method for organizing instructional material into appropriate epistemic forms and for…