This article argues that the merger of simulations and problem-based learning (PBL) can enhance both active-learning strategies. Simulations benefit by using a PBL framework to promote student-directed learning and problem-solving skills to explain a simulated dilemma with multiple solutions. PBL benefits because simulations structure the…

This study presents problem solving strategies and processes of thinking of mathematically gifted elementary children with respect to non-routine word problems. The data stem from a university-based course, especially designed to foster gifted children, ages 6-10 years, through the enrichment of the elementary mathematics curriculum. Videotapes of…

The difficulties that primary students experience when dealing with real-world related word problems have been discussed extensively. These difficulties are not only related to complex, non-routine problems but already occur with respect to routine problems that involve the application of a simple algorithm. Due to difficulties with the…

This paper describes an exploration of an inquiry-based learning approach undertaken with a group of first-year students in a large undergraduate class. An innovative technology support was used to manage the process and an exploration was undertaken to determine students' responses to learning based on problem-solving activities. The study…

This study examined the effect of goal-orientation on subjects' metacognitive activities during problem solving. Twenty female undergraduate students were randomly assigned to a learning or performance goal-orientation condition. The subjects were given an open-ended problem-solving task with instructions highlighting their respective…

This brochure explains a number of aspects of the standards established by the National Council of Teachers of Mathematics for mathematics education. The three sets of standards are: (1) Curriculum and Evaluation Standards; (2) Professional Standards for Teaching Mathematics; and (3) Assessment Standards for School Mathematics. Contained in the…

Metacognitive skills may be defined in a variety of ways. Generally, these ways all apply to people's thinking about their own personal thinking. This research study analyzed students' interactions to computer programs to assess their metacognitive skills. The metacognitive skills assessed were: (1) planning a course of action; (2) monitoring the…

A study investigated the effectiveness of using a small-group discussion as the main vehicle for the construction of an initial representation of a problem that activates previously acquired knowledge. College students (N=39) were randomly assigned to either an experimental condition or a control condition and asked to brainstorm about a presented…

Recent advances in cognitive psychology provide insights into thinking processes and learning behavior that can help teachers prepare students for the demands of the workplace. Studies of successful students have found that the depth of their information processing is directly related to the quality of their learning outcomes. That is, more…

This report investigated the relationship between learning to program LOGO and the development of problem solving skills. Subjects were 133 students in grades 4-8 who had at least 30 hours of experience with both graphics and lists programming in Logo. Students were randomly assigned to one of three contextual groupings, which received graphics,…

Arguing that an explicit representation of the problem-solving method of an expert system shell as abstract control knowledge provides a powerful foundation for learning, this paper describes the abstract control knowledge of the Heracles expert system shell for heuristic classification problems, and describes how the Odysseus apprenticeship…

Evidence from video tapes of experts thinking aloud and using analogies in scientific problem solving is presented. Four processes appear to be important in using an analogy: (1) generating the analogy; (2) establishing confidence in the validity of the analogy relation; (3) understanding the analogous case; and (4) applying findings to the…

The work of English cybernetician Gordon Pask on learning styles and strategies is presented. An attempt is made to describe the basic ideas of Conversation Theory, Pask's general theory of cognition. The learning strategies "holism" and "serialism," and the more general learning styles "comprehension learning" and…

The University of Tulsa (Oklahoma) School for Gifted Children is a full school program for able learners ages 3-12. The school is the only one in the nation to use a curriculum based on Enaction Theory which postulates that thinking is a matter of running a simulation in one's head and involves three steps: (1) creating a mental model, (2)…

This research examined the learning style factor of field dependence/independence and the problem solving strategies of Hmong male refugee students 17 years old and older who were attending or planning to attend post secondary education institutions in Wisconsin and Minnesota. The research was conducted from July 1986 to July 1987 to test two…