Every day physicians make judgments about patient management and diagnosis based on less than perfect information from many different sources. Judgment and decision-making research has taught us a great deal about such decisions, but these insights rarely find their way into the medical curriculum. One productive line of investigation in the study…

This article describes the journey that one elementary school took in examining the roles and responsibilities of the principal, teachers, students, and school environment in supporting mathematical understanding as described by the NCTM Standards. (Contains 2 tables and a bibliography.)

The Advanced Placement (AP) Descriptive Chemistry Website allows users to practice chemistry problems. This study involved the redesign of the Website using worked examples to enhance learner performance. The population sample for the study includes users (students and teachers) interested in learning descriptive chemistry materials. The users…

This study focussed on how secondary school students construct and use mathematical models as conceptual tools when solving word problems. The participants were 511 secondary-school students who were in the final year of compulsory education (15-16 years old). Four levels of the development of constructing and using mathematical models were…

Students have used Cogito.org to pose and/or solve math problems and brain teasers, share their experiences in academic competitions, debate the pros and cons of using biofuels for energy, design an alien world based on sound scientific principles, and expand their cultural understanding by connecting with students from around the world.…

Teachers know their students must struggle and grapple with authentic tasks in order to grow stronger. Classroom teachers of the gifted know that their students cannot advance cognitively without facing relevant and challenging material that demands higher level thinking and reasoning. Therefore, the teacher of gifted mathematics students must…

Photonovels look like comic books but contain photographs instead of drawings. Because photonovels combine pictures and everyday language, adult ESL learners can use them to communicate their thoughts and ideas. Photonovels can also be an aid in learning spoken and written English. This article describes a photonovel project that one of the…

Child abuse is a major social concern around the world. Important to tackling the problem is an understanding of the mechanisms contributing to abusive parenting. This article brings together research on the cognitive variables associated with abusive or high-risk parenting. Considered are dysfunctional child-centered and parent-centered…

Research shows that mathematically gifted students learn differently from their same age group peers. They require curriculum to be differentiated to meet their specific learning styles (Johnson, 2000). Studies have shown that formal instruction in elementary school classrooms often lacks challenge for the gifted learner since courses in regular…

The benefits of multisensory instruction for teaching mathematics to students in resource rooms were explored. Participants were third and fourth graders (n = 12) in 3 resource rooms for replacement mathematics in a middle-class school district in New Jersey. The students received weekly instruction for several months, using manipulatives and word…

The purpose of this study is to analyze the relationship between student behaviors and the growth of mathematical ideas (using the Pirie-Kieren model). This analysis was accomplished through a series of case studies, involving middle school students of varying ability levels, who were investigating a combinatorics problem in after-school…

Creativity can be broadly defined as a combination of interacting individual and environmental resources leading to the production of valuable solutions. This paper concentrates on the type of creativity that can be expressed in solving social problems. After reviewing the potentially relevant psychological and contextual variables intervening in…

The issues discussed in this article have arisen from 12 in-depth case studies of "successful" schools in England, which were carried out during the academic year 2006/2007. However the practices that have emerged from these case studies are universally applicable when one analyses the factors that enabled learners to develop…

This article focuses on the ways in which four eighth-grade girls, each with varying levels of algebraic understanding, share ideas, debate, and gradually move toward generalizations inherent in the "Painted Cube" problem. The intent of this article is to examine how students move to progressive formalization and to provide insights into the ways…

This article looks at students doing mathematics through the lens of (artistic) performance. (Contains 10 figures.)