Explore young children's remarkable everyday math that can lay the groundwork for formal math education in kindergarten and beyond. Readers will learn how math is embedded in children's everyday lives, how daily routines contribute to the development of important math concepts, and what adults can do to foster the joy of early math learning.…

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

Novel trends and innovations have enhanced contemporary educational environments. When applied properly, these computing advances can create enriched learning opportunities for students. "Mobile Technologies and Augmented Reality in Open Education" is a pivotal reference source for the latest academic research on the integration of…

Modern technology has enhanced many aspects of life, including classroom education. By offering virtual learning experiences, educational systems can become more efficient and effective at teaching the student population. The "Handbook of Research on Collaborative Teaching Practice in Virtual Learning Environments" highlights program…

Middle and High school students of the twenty-first century possess surprising powers of spatial reasoning. They are assisted by technologies not available to earlier generations. Both of these assertions are demonstrated by students who are challenged with George Polya's classic Five Planes Problem. (Contains 5 figures.)

It is not often that one can introduce primary school students to a problem at the forefront of mathematics research, and have any expectation of understanding; but with magic squares, one can do exactly that. Magic squares are an ideal tool for the effective illustration of many mathematical concepts. This paper assumes little prior knowledge on…

Several times a week I walk by a metal chair that is fastened to a flat concrete slab at an outdoor bus stop here in Boulder. One day I noticed on the concrete a nice shadow image of the woven metal seat of the chair (Fig. 1). The seat and back of the chair are formed from 3.8-cm wide strips of metal spaced 3.8 cm apart. The seat is about 39 cm…

Four worksheets are presented, each using cubes to develop students' spatial visualization abilities. Directions and answer keys are both included. (MNS)

Dissection work with two-dimensional shapes is discussed, and patterns to be copied are given on three worksheets. A fourth worksheet contains instructions for pupils to make their own shapes and dissect them. (MNS)

This series of activities on spatial relationships was designed to help users acquire the skills of spatial visualization and orientation and to improve their effectiveness in applying those skills. The series contains an introduction to spatial orientation with several self-directed activities to help improve that skill. It also contains seven…

Some activities with tangrams and their use for investigating fractions, constructions, and percentages are presented, with worksheets included. (MNS)

Effects on cognitive performance, social atmosphere, communication, motivation and aspects of strain were investigated when laptops were integrated in classrooms. According to a quasi-experimental design 27 laptop students were compared with 22 non-laptop students from the same high school, aged 17-18 years. Results of tests and questionnaires…

To help students develop measurement skills using metric units, an activity on making a box is described, with a worksheet for students. A second article discusses graphing elementary functions with a real domain, while a third article describes computer-assisted practice in graphing sine and cosine functions. (MNS)

Summarizes methods from a high school geography class that used examples from local geography to teach basic geographic concepts. Maintains that these illustrative examples can be used even in courses where the content is not local geography. Provides examples of local landscapes illustrating concepts applicable to the Brazilian rain forest. (MJP)

Zoo Zillions contains five activities for grades K-2: Annie's Jungle Trail, 3D Gallery, Number Line Express, Gnu Ewe Boutique, and Fish Stories. These activities enable children to review and practice basic mathematics skills; identify three-dimensional shapes, watch them in motion, and create their own three-dimensional designs; locate numbers…