For students to be successful in algebra, they must have a truly conceptual understanding of key algebraic features as well as the procedural skills to complete a problem. One strategy to correct students' misconceptions combines the use of worked example problems in the classroom with student self-explanation. "Self-explanation" is the…

Learners are all different and teachers are all different, so why do we often ignore this reality when trying to explain, or demystify, some aspect of mathematics in the classroom? Enabling learning can be challenging, demanding of creativity, and needy of alternatives if understanding is the real goal. Here the authors offer ideas that are aimed…

A simple, conceptual method is described for using the spreadsheet scroll bar to find the composition of a system at chemical equilibrium. Simulation of any kind of chemical equilibrium can be carried out using this method, and the effects of different disturbances can be predicted. This simulation, which can be used in general chemistry…

The present study is concerned with assessing Logo programming experiences among seventh grade students. A formal multiple-choice test and five performance tasks were used to collect data. The results provided that students' performance was better than the expected score by the probabilistic laws, and a very low correlation between their Logo…

In this paper, the development of an innovative Virtual Manipulatives and Whiteboard (VMW) system is described. The VMW system allowed users to manipulate virtual objects in 3D space and find clues to solve geometry problems. To assist with multi-representation transformation, translucent multimedia whiteboards were used to provide a virtual 3D…

"Mathematics is more than skills... it is also the excitement of discovery." This is how Derek Holton, one of the contributing authors to this book, defines mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced;…

This present study investigated engineering students' conceptions and misconceptions related to derivative, particularly interpreting the graph of a function and constructing its derivative graph. Participants were 147 first year engineering students from four universities enrolled in first year undergraduate calculus courses with or without the…

Describes a computer program presenting four genetics problems to monitor the problem solving process of college students. Identifies three main areas of difficulty: computational skills; determination of gametes; and application of previous learning to new situations. (Author/YP)

The purpose of this study was to characterize the prior conceptions of molecular structure that organic chemistry students expressed as they learned to interpret nuclear magnetic resonance spectra, and to describe the problem-solving strategies that students employ as they determine molecular structure. The two questions that frame this study…

Describes the development and use of two computer simulations for investigating systems thinking and environmental problem-solving in children (n=92). Finds that older children outperformed younger children, who tended to exhibit magical thinking. Suggests that seemingly isomorphic environmental problems may not be interpreted as such by children.…

The question of how children solve force and motion problems in computer simulations without explicit knowledge of the underlying physics was investigated. Keystroke sequences made by children were saved and analyzed, and children were interviewed to understand their perception of the relationship between keyboard input and on-screen action. (CW)

This investigation focuses upon the question of: (1) how naive subjects organize and represent knowledge when solving problems; (2) how previous experience of a novice is used in solving a problem; (3) what kinds of information and knowledge are sought as well as overlooked by novices when solving problems; (4) what kinds of strategies novices…

This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra,…

This document contains the abstracts of most of the papers, symposia, and poster sessions presented at the 62nd Annual Conference of the National Association for Research in Science Teaching (NARST). Subject areas addressed include: teacher preparation; science, technology and society; classroom research, elementary science; process skills;…

This document contains the second volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 43 research reports by presenters with last names beginning between Adl…