Whereas some educational designers believe that students should learn new concepts through explorative problem solving within dedicated environments that constrain key parameters of their search and then support their progressive appropriation of empowering disciplinary forms, others are critical of the ultimate efficacy of this discovery-based…

Forty 4th and 9th grade students participated individually in tutorial interviews centered on a problem-solving activity designed for learning basic algebra mechanics through diagrammatic modeling of an engaging narrative about a buccaneering giant burying and unearthing her treasure on a desert island. Participants were randomly assigned to…

Although the human mind resists confusion, this feeling of disequilibrium nurtures learning. Newkirk, the author quotes, says intelligence is not a matter of being smart--it is the capacity to view difficulty as an opportunity to stop, reassess, and employ strategies for making sense of problems. These same habits of mind define reflection, a…

The authors of this article introduce students in their department's construction course to a variety of energy-saving practices and processes. They describe activities that could give students an opportunity to apply design methodology in the creative pursuit of a solution to an open-ended problem. An introductory lecture gives students the…

Many important human activities involve accomplishing goals without a script. There is no formula for true problem-solving. Heuristic, cognitive "rules of thumb" are the problem-solver's best guide. Learners should understand heuristic tools such as means-end analysis, working backwards, successive approximation, and external representation. Since…

Investigated strategies that 7- to 12-year-old children (n=96) spontaneously applied in solving novel combinatorial problems. With experience in solving two-dimensional problems, children were able to refine their strategies and adapt them to three dimensions. Results on some problems indicated significant effects of age. (Contains 32 references.)…

Input from constructivist scholars and science teachers helps develop future biologists and biology teachers who better understand scientific investigation through their development and use of investigative software, as well as through laboratory and field activities. (SM)

The article discusses the classic problem: "Given an equilateral triangle and a point P inside the triangle, what is the sum of the distances from P to the three sides?" The problem is used to illustrate the generative nature of problem-posing using the heuristic "What happens if...?" (PK)

Examines the importance of learning environments as sites for change in science education, describing work with elementary teachers in which researchers are designing learning environments featuring guided inquiry. After explaining how to plan and enact guided inquiry instruction in science, the paper reflects on experiences implementing it in…

Presents a study to determine whether computer use in guided-discovery learning episodes would enhance the problem-solving ability of secondary school students (n=147). Results indicate interaction between low- and middle-level students' mathematical achievement and treatment groups, while high-level students performed well regardless of approach.…

Describes three components of a seminar in mathematical problem solving for preservice mathematics teachers: (1) a cognitive component that accents particular phases of problem solving; (2) an affective component that allows for observation of skillful problem solvers; and (3) an investigative component that provides for independent study and…

Provided is a teacher's guide for a problem-solving activity that establishes a link between number patterns and geometry by focusing on the development of recurrence relations established when generating central polygonal numbers. Reproducible worksheets and a 3.0 BASIC program for the activity are given. (MDH)

Discusses Vee mapping, a technique to assist students in categorizing the relationship between the conceptual and procedural aspects of science. Presents a study to investigate elementary education majors' (n=27) use of the Vee heuristic and concept mapping for the construction of knowledge; attitudes toward learning science in collaborative…

This study investigated the effects of Oregon's Lane County "Problem Solving in Mathematics" (PSM) materials on middle-school students' attitudes, beliefs, and abilities in problem solving and mathematics. The instructional approach advocated in PSM includes: the direct teaching of five problem-solving skills, weekly challenge problems,…

Provides a rationale for a learning environment in science classrooms that integrates science, mathematics, and technology while solving authentic problems. Describes activities that can be used in such an environment and presents data regarding students' attitudes toward the described activities. (MDH)