Intelligent tutoring and personalization are considered as the two most important factors in the research of learning systems and environments. An effective tool that can be used to improve problem-solving ability is an Intelligent Tutoring System which is capable of mimicking a human tutor's actions in implementing a one-to-one personalized and…

This study chronicles learning from faculty who designed and delivered collaborative, problem-based learning courses that anchor a one-year MBA emphasizing sustainability. While cultivating the application of learning across the curriculum, the authors engaged MBA students in solving complex, real-world sustainability challenges using a…

Reaction workup can be a complex problem for those facing novel synthesis of difficult compounds for the first time. Workup problem solving by systematic thinking should be inculcated as mid-graduate-level is reached. A structured approach is proposed, building decision tree flowcharts to analyze challenges, and an exemplar flowchart is presented…

Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and extension of the Spectral Theorem and is commonly used within a variety of fields, including statistics,…

The author has taught an inquiry-based liberal arts mathematics class using the text "The Heart of Mathematics: An Invitation to Effective Thinking" by Edward B. Burger and Michael Starbird a total of 20 times since Spring 2001. The students in this class have almost all been in non-technical majors and many started the semester with…

Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…

This paper presents a case study of how the interactive whiteboard (IWB) may facilitate collective meaning-making processes in group work in engineering education. In the case, first-year students attended group-work sessions as an organised part of a basic physics course at a Norwegian university college. Each student group was equipped with an…

Graduate employability has become increasingly contentious as employers call for greater development, evaluation and benchmarking of student skills and capabilities in university courses. However, the increasing range of graduate attributes and competencies demanded by industry is further pressuring an Australian higher education sector already…

The purpose of this study is to analyse from the perspective of a history teacher and of a geography teacher the use of a photo at a history lesson. The task of designing learning activities associated with a photo was given at the discipline "Models and Paradigms of Teaching and Learning" to the first year students of the Curricular…

The use of mathematics performance tasks can provide a window into how a student is applying mathematics to various situations, how they are reasoning mathematically and how they are applying conceptual knowledge through problem solving and critical thinking. The purpose of this study was to investigate, according to the elementary mathematics…

Holidays and seasonal activities provide excitement and a change of pace for teachers and students alike. They also offer perfect backdrops for mathematical tasks that can be related to other topics and themes in the classroom. "Problem Solving in All Seasons, Prekindergarten-Grade 2" delivers thirty-two appealing, real-world situations,…

This article illustrates the importance of one's initial thoughts in problem solving through an entertaining example.

Psychologists studying problem solving have, for over 100 years, been interested in the question of whether there are two different modes of solving problems. One mode--problem solving based on analysis--depends on application of past experience to the problem at hand and proceeds incrementally toward solution. The second mode--problem solving…

Constraints often inhibit creative problem-solving. This study examined the impact of training strategies for managing constraints on creative problem-solving. Undergraduates, 218 in all, were asked to work through 1 to 4 self-paced instructional programs focused on constraint management strategies. The quality, originality, and elegance of…

In this article the author argues that the major ills of our formal social institutions cannot be effectively addressed without abandoning the widely adopted model of planning, evaluation and accountability that focuses on the formulation and use of aims and objectives or--to use more recent parlance--targets. She provides some background…