Education 4.0 will be the next aspect of the curriculum since programming has been taught from the primary school level. Training 4.0 requires teachers to equip students with not only the knowledge and information but also encourage students to be able to process information, develop creative thinking, and acquire problem-solving skills. However,…

This paper describes the characteristics of graphic techniques, such as networks, pattern notes, semantic maps, and graphic organizers, that can be used to acquire knowledge of relationships between concepts in a content area. The implications for research and instructional design are considered, and nine types of these techniques are described…

This paper presented various issues about pedagogical and cognitive aspects of problem solving and explored ways to lessen the heavy cognitive load of a problem solving task. It established a problem type schema for students at different levels. It recognizes the role of modern technology as a cognitive tool that promotes learning mathematics with…

Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…

There has long been dispute in mathematics between the drill and practice orientation that focuses primarily on memorizing mathematics as meaningless rote algorithms and the approach based on understanding and making creative use of mathematics. This 25-chapter book, based on a 7-year study at the University of Illinois, seeks to explain and…

Children's analogical reasoning has traditionally been measured by classical four-term analogy tasks or problem-solving tasks. Current theories of analogical development and the evidence on which they are based are reviewed. It is concluded that structural views of analogical development are wrong, and knowledge-based accounts of what develops are…

The paper presents the thesis that experienced physicians, while diagnosing routine cases, are operating upon knowledge structures that are distinctively different from those of novice physicians and students. In the course of their medical training, students develop rich, elaborated causal networks, explaining the causes and consequences of…

This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…

Discussed is a constructivist model of science learning and its possible use in the treatment of science misconceptions. Science learning as conceptual and methodological change is described. (KR)

Five articles explore various theoretical aspects of problems and problem solving skills. Highlights include strategies to learn problem solving skills; knowledge structures; metacognition; behavioral processes and cognitive psychology; erotetic logic; creativity as an aspect of computer problem solving; and programing as a problem-solving…

The importance of instructing gifted students in correlational reasoning is emphasized, with attention to what the skill involves and why it is difficult to learn; effective teaching strategies; and successful programs in whole-class, cooperative-learning, and computer formats. Implications in programming for gifted students are discussed. (SW)

The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

The major perspectives on problem solving of the twentieth century are reviewed--associationism, Gestalt psychology, and cognitive science. The results of the review on teaching problem solving and the uses of computers to teach problem solving are included. Four major issues related to the teaching of problem solving are discussed: (1)…

This paper reviewed literature on cognition to help art teachers understand what they can learn from the huge body of literature that has been generated by cognitive psychologists. It is argued that, in this information society, teaching memorization skills is not enough; students must learn problem-solving skills. A long list of specific thinking…

Reviews research on (1) schemata acquisition while learning mathematics and techniques for detecting schema in mathematics learners; and (2) assessment of the distribution of cognitive resources while learning mathematics that lead to the design of instructional techniques to facilitate schema acquisition. (26 references) (MDH)