Problem solving followed by explicit instruction, as suggested by productive failure and several other instructional theories, indicates long-term learning benefits, whereas explicit instruction followed by problem solving has been consistently demonstrated as superior within the framework of cognitive load theory. However, the effectiveness of…

Analogies between old and new concepts are common during classroom instruction. Previous transfer studies focused on how features of initial learning guide later, spontaneous transfer to new problem solving. We argue for a shift in the focus of analogical-transfer research toward understanding how to best support analogical transfer from previous…

Jim Greer and his colleagues argued that student modelling is essential to provide adaptive instruction in tutoring systems and showed that effective modelling is possible, despite being enormously challenging. Student modelling plays a prominent role in many intelligent tutoring systems (ITSs) that address problem-solving domains. However,…

Purpose: The purpose of this paper is to illustrate how associationism mistakenly assumes that direct experience is possible; that is, there is expectation-free observation and association without prior expectation. Thus, associationism assumes that learning involves the absorption of information from the environment itself. However, contrary…

A central issue in the design of curricula for all school levels is the development of the learners' high-order thinking skills and metacognitive skills. Among such required skills is the ability to solve problems. The literature dealing with the development of problem-solving skills is vast and primarily addresses the scientific disciplines, even…

Launching a problem is critical in a problem-based lesson. We investigated teachers' perspectives on the use of a problem that was analogous to the one provided during a launch. Our goal was to identify teachers' underlying assumptions regarding what should constitute a launch as elements of the "practical rationality of mathematics…

Because of these learners' potential as future leaders, it is imperative that educators develop gifted students' ability to identify and solve complex social justice problems. Nourishing students' affective traits, including empathy for others, understanding of themselves, and the ability to connect to others in local and global society, will help…

This paper explores the idea of unlearning in Critical Action Learning (CAL) as applied to the wicked problems of organisations and societies. It draws on data and ideas developed during a research project conducted for "Skills for Care" by Pedler, Abbott, Brook and Burgoyne ("Skills for Care" 2014) and from experiences on…

Learning theory provides a powerful framework for analyzing instructional consultations and increasing their effectiveness. In this paper, the authors review the main tenets of learning theory, apply them to consultation scenarios, and present a complex case study to show how they can guide analysis and problem solving around challenging…

How does the knowledge of experts affect their behaviour in situations that require unusual methods of dealing? One possibility, loosely originating in research on creativity and skill acquisition, is that an increase in expertise can lead to inflexibility of thought due to automation of procedures. Yet another possibility, based on expertise…

The purpose of this study was to explore and develop a conceptual model for how individuals unlock insight. The concept of insight--the "out of the box" or "aha!" solution to a problem--offers a framework for exploring and understanding how best to enhance problem solving skills due to the cognitive shift insight requires. Creative problem solving…

We examined the effects of teaching overt precurrent behaviors on the current operant of solving multiplication and division word problems. Two students were taught four precurrent behaviors (identification of label, operation, larger numbers, and smaller numbers) in a different order, in the context of a multiple baseline design. After meeting…

This paper describes research on the use of journals in a general education chemistry course for elementary education majors. In the journals, students describe their understanding of a topic, the development of that understanding, and how the topic connects to their lives. In the process, they are able to engage in reflection about several…

Problem solving allows students to use what they know to achieve a goal when no solution is apparent. Traditional educational models evolved from an earlier system, based on rote memorization and designed to produce employees for industry. The workforce of tomorrow must move beyond rote learning by both applying current knowledge and using…

Investigations in Number, Data, and Space[R], published by Pearson Scott Foresman, is an activity-based K-5 mathematics curriculum designed to help students understand the fundamental ideas of number and operations, geometry, data, measurement, and early algebra. The curriculum encourages students to use prior knowledge to develop an understanding…