We propose a simple and straightforward method based on Wronskians for the calculation of bound-state energies and wavefunctions of one-dimensional quantum-mechanical problems. We explicitly discuss the asymptotic behaviour of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider…

This technology report alerts upper-division undergraduate chemistry faculty and lecturers to the use of Texas Instruments emulators as virtual graphing calculators. These may be used in multimedia lectures to instruct students on the use of their graphing calculators to obtain solutions to complex chemical problems. (Contains 1 figure.)

The effectiveness and efficiency of individual versus collaborative learning was investigated as a function of instructional format among 140 high school students in the domain of biology. The instructional format either emphasized worked examples, which needed to be studied or the equivalent problems, which needed to be solved. Because problem…

To a first approximation, human memory is divided into two parts, short-term and long-term. Cognitive Load Theory (CLT) attempts to minimize the short-term memory load while maximizing the memory available for transferring knowledge from short-term to long-term memory. According to CLT there are three types of load, intrinsic, extraneous, and…

The purpose of this research is to set up a 5Why scaffolding guided questioning teaching case film for student teachers. The case can provide complete 5Why scaffolding guided questioning science teaching unit (campus insect unit) for the student teachers to observe and learn the curriculum design, teaching didactics and problem solving method. In…

In this study, we examine introductory physics students' ability to perform analogical reasoning between two isomorphic problems which employ the same underlying physics principles but have different surface features. 382 students from a calculus-based and an algebra-based introductory physics course were administered a quiz in the recitation…

This thesis explores the role of multiple representations in introductory physics students' problem solving performance through several investigations. Representations can help students focus on the conceptual aspects of physics and play a major role in effective problem solving. Diagrammatic representations can play a particularly important role…

Electricity and magnetism are important topics in physics. Research shows that students have many common difficulties in understanding concepts related to electricity and magnetism. However, research to improve students' understanding of electricity and magnetism is limited compared to introductory mechanics. This thesis explores issues…

This chapter examines the various cognitive tools embedded in a multimedia-enriched PBL environment for middle school science known as "Alien Rescue" and shares the research findings of the use of these cognitive tools in assisting young learners' problem solving. The goal of this chapter is to illustrate strategies for designing…

We present a method of analyzing the development of self-efficacy in real time using a framework of self-efficacy opportunities (SEOs). Considerable research has shown a connection between self-efficacy, or the confidence in one's own ability to perform a task, and success in science fields. Traditional methods of investigating the development of…

Research on physics problem categorization has established that proficient problem solvers are able to group together physics problems that would be solved by similar principles and use conceptual approaches when solving problems, whereas weak solvers rely more heavily upon surface features (objects, contexts, and quantities provided) to identify…

Many approaches to instruction focus on helping people learn to recognize "the old in the new"--to turn what would otherwise be novel problems into familiar patterns that can be solved efficiently through the reuse of prior learning. Instruction that leads to efficient transfer is important, but it can also promote what we call "overzealous"…

This paper reports on a Professional Learning Programme undertaken by primary school teachers in China that aimed to facilitate the development of "adaptive expertise" in using technology to facilitate innovative science teaching and learning such as that envisaged by the Chinese Ministry of Education's (2010--2020) education reforms.…

The venerable aphorism "an old dog cannot learn new tricks" implies that the elderly rarely learn anything new--in particular, scientific knowledge. On the basis of "learning by doing," the present study emphasized knowledge application (KA) as elderly subjects collaborated on the design of a toy flying saucer (UFO). Three…

Many students are challenged when tasked to complete a word problem. While they may know the procedural steps to solve an equation, translating a word problem into an appropriate equation and producing a solution may often cause students to become confused or unwilling to try. This article provides a potential solution for teachers by discussing…