In this paper, the author looks at some classic problems in mathematics that involve motion in the plane. Many case problems like these are difficult and beyond the mathematical skills of most undergraduates, but computational approaches often require less insight into the subtleties of the problems and can be used to obtain reliable solutions.…

Studying worked examples and engaging in self-explanation are well supported strategies for developing self-regulated learning and improving student performance. Our efforts involve a design theory approach to creating a Web-based learning tool that uses the notion of a weekly quiz to draw students into an environment that supports the development…

This article proposes four strategies for posing mathematics problems that raise the cognitive demands of the tasks given to students. Each strategy is illustrated with three common middle school mathematics examples: finding the greatest common factor, finding area or perimeter, and finding the equation of a line. Posing these types of problems…

This report summarizes findings on strategies chosen by students (n=38) when solving algebra problems related to various functions with the freedom to use a TI-83 graphing calculator, influences on student problem-solving strategy choices, student ability to approach algebra problems with use of multiple representations, and student beliefs on how…

In this paper we compared the efficacy of face-to-face and computer supported collaborative learning (CSCL) in increasing academic knowledge and professional competences. We also explored how students' personality characteristics and learning strategies and teachers' characteristics were associated with better learning outcomes in online or…

This study investigated the ways in which the technological tool, The Geometer's Sketchpad, mediated the understandings that high school Honors Geometry students developed about geometric transformations by focusing on their uses of technological affordances and the ways in which they interpreted technological results in terms of figure and…

This paper identifies several areas of database modeling and design that have been problematic for students and even are likely to confuse faculty. Major contributing factors are the lack of clarity and inaccuracies that persist in the presentation of some basic database concepts in textbooks. The paper analyzes the problems and discusses ways to…

Can a rich problem-solving task challenge a diverse range of students? How would students across various grade levels, from elementary school to secondary school, respond to the same task? These were the questions five different teachers in different schools wanted to explore in their respective classes, ranging from first grade through ninth…

This research paper examines phylogenetic tree construction-a form of problem solving in biology-by studying the strategies and heuristics used by experts. One result of the research is the development of a model of desired performance for phylogenetic tree construction. A detailed description of the model and the sample problems which illustrate…

This book aims to enlighten its readers on how to achieve optimal human efficiency, well-being, and balance through "brainwave training." According to the book, the 4 kinds of brainwaves--beta, alpha, theta, and delta--communicate with each other to pass information between conscious and unconscious mind. Mastering these brainwaves…

Two types of instructional design strategies, hints and learner control, that can be used to enhance metacognitive strategies in problem solving, are discussed. Metacognition refers to the active monitoring and consequent self-regulation for which one's own mental activities become the objects of reflection. Hints provide guidance that can lead…

This project addressed the question: What knowledge and processes enable individuals to construct and modify representations of novel, nonroutine problems? The theoretical goal was to extend the information-processing theory of problem solving to include processes that have been characterized as restructuring of problems and productive thinking by…

Students learning to program recursive LISP functions in a typical school-like lesson on recursion were observed. The typical lesson contains text and examples and involves solving a series of programming problems. The focus of this study is on students' learning strategies in new domains. In this light, a Soar computational model of…

"Understanding Adult Intelligence" (Robert Sternberg) focuses on the nature of intelligence. It explains Sternberg's triarchic theory, in which he posits three main aspects of intelligence: its relation to the internal or mental world of the learner, its relation to experience, and its relation to the surrounding world. "Strategies and Learning"…

This document presents hypotheses about how much understanding a user needs to perform skillfully using a computer or a computer program. A framework for characterizing user understanding is presented which includes three criteria for evaluating the representation generated during problem solving: (1) internal coherence--whether the components of…