As a self described lesson collector, author Charles Lovett enjoys gathering "interesting" lessons and teasing them apart to find out what makes them "tick", particularly the pedagogy. He often wonders what decisions the teacher made that generated such an interesting and successful learning environment. Here he describes a…

The ability to effectively problem solve is a highly valued competency expected of university graduates, independent of their area of study. Evaluation of problem-solving skill (PSS) development is hindered by a shortage of available tools for monitoring student progress and by lack of defined instructional strategies for development of these…

Recently, there has been a growing interest in learning approaches that combine two phases: an initial problem-solving phase followed by an instruction phase (PS-I). Two often cited examples of instructional approaches following the PS-I scheme include Productive Failure and Invention. Despite the growing interest in PS-I approaches, to the best…

Using expository text and examples available in 10 college textbooks we identify two conceptions of angles, trigonometric functions, and inverse trigonometric functions that rely on either a static or a dynamic definition of angle. Although the textbooks favor a conception of trigonometric functions that is based on a dynamic conception of angle,…

Help turn students into problem solvers. With lesson imaging, teachers anticipate how chosen activities will unfold in real time--what solutions, questions, and misconceptions students might have and how teachers can promote deeper reasoning. When lesson imaging occurs before instruction, students achieve lesson objectives more naturally and…

We tested a method for solving Bayesian reasoning problems in terms of spatial relations as opposed to mathematical equations. Participants completed Bayesian problems in which they were given a prior probability and two conditional probabilities and were asked to report the posterior odds. After a pretraining phase in which participants completed…

In this article, the authors emphasise the importance of purposeful mathematical discussion and using sequences of connected, cumulative, and challenging tasks in advancing students' spatial reasoning in the early years of schooling.

The themes discussed in this study relate to how students reason about the information encoded in rate constants, which is important for developing a deep understanding of chemical kinetics at the molecular level. This study is part of a larger project centered more generally on students' understanding and use of mathematics in chemical kinetics.…

This paper describes a high school or introductory university course in scientific programming that introduces the computer revolution into the physics curriculum at the beginning. In the first one-hour lecture, Euler's method is presented and used to compute a solution to the analytically unsolvable two-body problem. In the remainder of the…

We need to know what it means to be an expert in working life today. Universities are often accused of neglecting the basic idea that higher education should be relevant to working life, and research on the subject of expertise in today's workplace is lacking. Thirteen experts from different fields were interviewed and the obtained data were…

This paper discusses the importance of one of the most crucial elements in science and technology education: the development of the individual capacity to cope with new problems. Also, discuss the importance of being aware of the existence of "formative objectives" and "tacit knowledge". In the planning of a course, taking into…

Comparison is an everyday process of thinking, which is also frequently used in geography lessons. However, in geography pedagogy, the term 'comparison' remains vague and insufficiently defined. In this paper, we will propose a clear definition of what comparison is and introduce it as a systematic method for secondary school geography education.…

Despite a tremendous success in boosting students learn electrical analogies for science education, it remains a challenge to extend such strategy for formally constructing equations related to the Ohm's law in order to solve electrical problems based on series and parallel circuits. Unlike most traditional works of teaching technique that focus…

The current study explored the difficulties teachers encounter when teaching common fractions division, focusing on teachers' knowledge concerning this issue. Nine teachers who study towards a M.Ed. degree in mathematics education demonstrated the algorithms they apply in order to solve fractions division problems, described how they teach the…

This research paper aims to produce a mathematical module with a problem-solving approach to train student's reflective thinking. To find out how to develop modules, there are three criteria must be fulfilled, namely validity, practicality, and effectiveness. Development of module used four stages, namely the initial situation analysis, design…