This article describes geometry-oriented problem-solving tasks that can encourage students to develop a positive attitude toward mathematics. The tasks concern working with polyominoes, two-dimensional shapes that consist of squares joined fully at the edges. (Contains 7 figures.)

This article describes the use of commercial games in mathematics to help teach algebraic reasoning, spatial sense, and multistep problem solving. It also provides a description of how one teacher implemented the use of games.

This paper examines the effect of applying symbolic computation and graphics to enhance students' ability to move from a visual interpretation of mathematical concepts to formal reasoning. The mathematics topics involved, Approximation and Interpolation, were taught according to their historical development, and the students tried to follow the…

The current work examined age differences in the classification of novel object images that vary in continuous dimensions of structural shape. The structural dimensions employed are two that share a privileged status in the visual analysis and representation of objects: the shape of discrete prominent parts and the attachment positions of those…

This article features activities for children to explore the concepts of "over" and "under." Using boxes and blocks, children explore positional relationships and develop physical skills. Here, the author offers activities for every age level.

This study investigated whether the software Virtus WalkThrough Pro could be used to enhance middle school children's spatial ability as measured by the Paper Folding, Mental Rotations, and Eliot-Price Tests. The study also investigated whether the use of this software impacted males differently than females, or users with high spatial ability…

During an out-of-body experience (OBE), the experient seems to be awake and to see his body and the world from a location outside the physical body. A closely related experience is autoscopy (AS), which is characterized by the experience of seeing one's body in extrapersonal space. Yet, despite great public interest and many case studies,…

A core task in language acquisition is mapping words onto objects, actions, and events. Two studies investigated how children learn to map novel labels onto novel objects. Study 1 investigated whether 10-month-olds use both perceptual and social cues to learn a word. Study 2, a control study, tested whether infants paired the label with a…

Finite mixture models are well known to have poorly behaved likelihood functions featuring singularities and multiple optima. Growth mixture models may suffer from fewer of these problems, potentially benefiting from the structure imposed on the estimated class means and covariances by the specified growth model. As demonstrated here, however,…

Good early mathematics is broader and deeper than early practice on "school skills." High-quality mathematics should be a joy--not a pressure. It can emerge from children's play, their curiosity, and their natural ability to think. This article describes the areas of mathematics that young children can learn, and encourages elementary teachers to…

In his "Theory of Multiple Intelligences," Dr. Howard Gardner expands the concept of intelligence to include such areas as music, spatial relations, and interpersonal knowledge in addition to the traditional view of two intelligences--mathematical and linguistic. Using biological as well as cultural research, Gardner formulated a list of seven…

Prior research (DeLoache, Uttal & Rosengren, 2004) has documented that 18- to 30-month-olds occasionally make scale errors: they attempt to fit their bodies into or onto miniature objects (e.g. a chair) that are far too small for them. The current study explores whether scale errors are limited to actions that directly involve the child's…

This article reviews recent research on perception of tangible pictures in sighted and blind people. Haptic picture naming accuracy is dependent upon familiarity and access to semantic memory, just as in visual recognition. Performance is high when haptic picture recognition tasks do not depend upon semantic memory. Viewpoint matters for the ease…

A follow-up account of a mother's attempts to provide her blind daughter, now aged six, with knowledge of the physical world through the manipulation of three-dimensional objects and two-dimensional tactile representations. The case is made for the value of pictures to the development of children's understanding in general; and for the child who…

Rhymes are often useful teaching devices for small children, and can even become a creative resource for teaching mathematics. The students and their teachers can change many of them to better fit their environment and/or extend the rhyme so that higher numbers are involved. A number of rhymes and folk tales lend themselves to more detailed…