Metacognition refers to knowledge about one's own cognition. The present study was designed to assess metacognitive skills that either precede or follow task engagement, rather than the processes that occur during a task. Specifically, we examined prediction and evaluation skills among children with (n= 17) or without (n= 179) mathematics learning…

Problem solving continues to be a major focus of K-12 mathematics education reform. This case study shows how a teacher's middle school mathematics instruction evolved from teaching problem solving as computation exercises to teaching how to select and implement combinations of problem solving strategies. The teacher's thinking about problem…

In this article, we discuss the use of client-driven projects--projects that are posed by business, government, and non-profit organizations and based upon real problems facing the organization. Although client-driven projects have long been used in business and engineering education, their use in the mathematics classroom is rare. Client-driven…

The connection between linear and 0-1 integer linear formulations has attracted the attention of many researchers. The main reason triggering this interest has been an availability of efficient computer programs for solving pure linear problems including the transportation problem. Also the optimality of linear problems is easily verifiable…

Bilingual students have, at times, been thought to be at a disadvantage in learning mathematics because of an assumed interference between their two languages. Earlier research, confirmed again in this study, shows that this is a naive view to take. Although some bilingual students do have a harder time, others seem to be at an advantage. This…

This article describes an alternate way to utilize a circular model to represent thirds by incorporating areas of circular segments, trigonometric functions, and geometric transformations. This method is appropriate for students studying geometry and trigonometry at the high shool level. This task provides valuable learning experiences that…

A k-dimensional integer point is called visible if the line segment joining the point and the origin contains no proper integer points. This note proposes an explicit formula that represents the number of visible points on the two-dimensional [1,N]x[1,N] integer domain. Simulations and theoretical work are presented. (Contains 5 figures and 2…

Effects of guided (GI) and direct instruction (DI) in solving subtraction problems for mathematically low performers in regular schools were compared. In the GI condition, self-development of solution procedures was encouraged whereas in the DI condition one prescribed strategy was to be used. Forty children (M[subscript age] = 9.3 years) were…

The transportation field has for many years been dominated by engineers and other technical specialists. This article describes the Sustainable Mobility Learning Lab (SMLL), a Web-based tool designed to support classroom and university outreach activities to help initiate a more inclusive, nontechnical discussion about the role of transportation…

This article presents a study in which applications were integrated in the Multivariable Calculus course at the Technion in the framework of supplementary tutorials. The purpose of the study was to test the opportunity of extending the conventional curriculum by optional applied problem-solving activities and get initial evidence on the possible…

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.…

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the area of electrical and instrumentation contain a lesson that deals with reading charts and tables. The lesson consists of an objective, instruction, and 10 exercises. Three types of problems are provided in each exercise: "try…

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the area of electrical and instrumentation contain a lesson that deals with problem solving using charts and tables. The lesson consists of an objective, instruction, and 10 exercises. The objective for the lesson is for the student to learn…

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the occupational area of millwright contain a lesson that deals with reading charts and tables. The lesson consists of an objective, instruction, and 10 exercises. Three types of problems are provided in each exercise: "try…

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the occupational area of millwright contain a lesson that deals with problem solving using charts and tables. The lesson consists of an objective, instruction, and eight exercises. The objective for the lesson is for the student to learn to…