In efforts aimed at acquainting learners with "how to learn" skills rather than static content knowledge, more student centric instructional approaches are being increasingly adopted in informing curriculum design and delivery. Technology-rich problem solving environments offer great promise in scaffolding and facilitating…

Middle school teachers realize the value of students playing games in mathematics classes if those games emphasize problem-solving strategies, algebraic reasoning, or spatial sense. This article describes various versions of the traditional game of nim and shows how working backward can be used to find a winning strategy. The link is then made…

Chemists have bemoaned for years their students' inability to solve problems in introductory chemistry courses. However, at least part of this inability must be attributed to the fact that chemists have historically tried to teach their students to solve problems by doing nothing more than working examples. In recent years, chemists have begun to…

The relative importance of spatial-position as a memory aid in a block pattern reproduction task was investigated by analyzing the object-selection and object-placement strategies of 69 nursery school children. Subjects were given a task modeled on Piaget's assessment of Static Reproductive Images and Action that had been modified into a…

The study of the ability of 16 early treated phenylketonuric (PKU) patients (ages 6-23 years) to solve complex spatial problems suggested that choice of problem-solving strategy, attention span, and accuracy of mental representation may be affected in PKU patients, despite efforts to maintain well-controlled phenylalanine concentrations in the…

Solving problems in a visuospatial domain, such as astronomy, may require not only knowledge about the phenomena within the domain but an ability to instantiate knowledge spatially to generate solutions, as well. Spatial ability assessments and interviews of undergraduates show that problem-solving ability can be limited regardless of the…

Explains Piaget's concepts of "subject-object" and "subsystem" interactions in problem solving and describes a test that substantiates Piaget's hypothesis and points to antecedent conditions that appear to stimulate imaginal structures. (SB)

Investigated the ability of kindergarten, first-grade and third-grade boys and girls to use a mnemonic strategy in a spatial task. (Author/DB)

Explains the Geometric Standard of the "Principles and Standards for School Mathematics" (NCTM, 2000) which emphasizes the usefulness of geometric ideas in representing and solving problems across the mathematics curriculum. Discusses this Standard and illustrates it with classroom examples. (Contains 45 references.) (YDS)

Reports on a study in which three 3rd grade students were presented with the volume of cuboids. Examines the problem solving actions students demonstrate and analyzes students' strategies and solutions. Explores the connection between spatial structuring and the use of numerical operation. Considers perseverance and control emerging when solving…

This book introduces students to the types of problems and processes used throughout the "Reshaping Mathematics for Understanding" series. The problems in this unit deepen students' understanding of mathematics by encouraging them to clarify concepts and challenge their own assumptions. Additionally, by providing opportunities to give and follow…

Presents the Picasso Masterpiece problem to develop spatial reasoning in students. Addresses the National Council of Teachers of Mathematics (NCTM) Geometry Content Standards. (Author/NB)

Investigated effects of spatial and literacy content on learning through social interaction. Pairs of kindergarten children in three interaction episodes solved spatial and literacy problems. Gains were made in spatial understanding independent of the type of social interaction used. Spatial understanding appeared to be affected more by how…

As one high school teacher found, allowing students to use preferred learning modalities can increase their enthusiasm, raise their achievement levels, and foster growth in other intelligences. This article shows how two students demonstrated their mastery of nuclear and organic chemistry by using kinesthetic and spatial problem-solving…

Five experiments involving a total of 44 college students addressed the effects of intercomponent consistency on skill acquisition in a class of cognitively demanding tasks requiring rapid integration of information and rapid application of rules. The role of consistency of external stimulus-to-rule linkage in facilitating learning and performing…