Given the relevance of graphs of functions, we consider their inclusion in primary education from the functional approach to early algebra. The purpose of this article is to shed some light on the students' production and reading of graphs when they solved generalization problems from a functional thinking approach. We aim to explore how 3rd and…

Self-explanation is a process by which learners generate inferences about causal connections or conceptual relationships. A meta-analysis was conducted on research that investigated learning outcomes for participants who received self-explanation prompts while studying or solving problems. Our systematic search of relevant bibliographic databases…

How can technologies and digital learning experiences be used to support underserved, under-resourced, and underprepared students? For many years, educators, researchers, and policy makers looking for strategies to close the achievement gap and improve student learning have sought solutions involving new uses of technology, especially for students…

Many students find it difficult to learn the kinds of knowledge and thinking required by college or high school courses in mathematics, science, or other complex domains. Thus they often emerge with significant misconceptions, fragmented knowledge, and inadequate problem-solving skills. Most instructors or textbook authors approach their teaching…

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…

This report describes a methodology for increasing the validity and reliability of inferences made about the problem-solving ability of science students that is based on performance on different kinds of tests. The generalizable cognitive components of problem solving that might be targeted by assessment are described, and specifications are…

An attempt is made to synthesize the diverse perspectives on the teaching of thinking, especially in the area of social studies. A conception is developed that incorporates major theoretical orientations as well as the views of teachers. The conception emphasizes interpretation, analysis, and manipulation of information to solve problems that…

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)

Trends in emphases in the study of clinical reasoning are examined, with attention to three major branches of research: problem-solving, knowledge engineering, and propositional analysis. There has been a general progression from a focus on the generic form of clinical reasoning to an emphasis on medical content that supports the reasoning…

The developmental increase in the ability to solve problems is a puzzle. Does it come from basic changes in mental skills, or is it a matter of practice? This book from the Developing Child series synthesizes recent research examining children's problem-solving skills development. Chapter 1 presents the major themes: (1) there is increasing…