The Personal Leadership Conundrum leadership development project is a semester-long, personal leadership inquiry that provides students with a self-directed learning opportunity. The guiding framework for this leadership inquiry is a personal leadership conundrum developed by students based on their experience. Students engage in problem-based…

Metaphors were used to teach systems thinking and to clarify concepts of organizational theory in an introductory MBA management course. Gareth Morgan's metaphors of organization were read by students and applied as frames to analyze a business case. In addition, personal metaphors were written by individual students in order to describe the…

This paper examines the intersection between creativity, problem solving, cognitive psychology and neuroscience in a discussion surrounding the genesis of new ideas and innovative science. Three creative activities are considered. These are (a) the interaction between visual-spatial and analytical or verbal reasoning, (b) attending to feeling in…

A large body of literature reports that there are gender differences in mathematical problem solving favouring males. Strategy use, as a reflection of different patterns in mathematical problem solving between genders, is found to be related to cognitive abilities, together with psychological characteristics and mediated by experience and…

Engagement in the arts nurtures the development of cognitive, social, and personal competencies. When well taught, the arts provide young children with authentic learning experiences that engage their minds. To get children to think critically, teachers ought to become comfortable with the problem-solving process themselves. This article…

The level of education of the population of Russia, the scale and traditions of the country's system of education, make it possible for Russia to maintain its ability to compete even at a time when its defense capability is declining, the raw materials component in the economy is rising, and the country is lagging behind in technological and…

The National Council of Teachers of Mathematics (2000) recommends that students at all grade levels be provided with instructional programs that enable them to "create and use representations to organize, record, and communicate mathematical ideas; select, apply, and translate among mathematical representations to solve problems; and use…

This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)

In an era in which time is more compressed than it has ever been before, the life cycle of any innovation is extremely brief, and an unexpected, bold idea that is quickly put to work in the sphere of virtual reality can result in a "super-breakthrough" in the world of new industrial technologies. In order to accomplish cutting-edge…

This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system, http://www.stack.bham.ac.uk/, which uses the CAS…

Encouraging students to share and compare solution methods is a key component of reform efforts in mathematics, and comparison is emerging as a fundamental learning mechanism. To experimentally evaluate the effects of comparison for mathematics learning, the authors randomly assigned 70 seventh-grade students to learn about algebra equation…

In this article, the authors discusses Visualization in Technology Education (VisTE). VisTE units are designed to enhance students' knowledge in science, develop good visual and presentation skills, understand emerging technologies, and most of all help with the integration of standards that promote technological literacy. Technological changes…

At their final exam in linear algebra students at the author's university were given the possibility to choose between two types of proofs to be done. They could either prove two short statements by themselves or they could explain four steps in a given proof. This paper reports on investigations of students' responses to the choice option…

Meanings of "surprise" are wide and include uplifting and engaging facets like wonder and amazement on the one hand as well as ones that may be of the opposite nature like interruption and disrupt on the other. Pedagogically, educators who use surprise in class activities are focusing on students being "taken aback" by a situation, hopefully…

This study examined the effects of question prompts, knowledge integration prompts, and problem solving prompts, embedded in a Web-based learning environment in scaffolding preservice teachers' conceptual understanding and problem solving in an ill-structured domain. A mixed-method study was employed to investigate the outcomes of students'…