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Argues for an interactionist approach to spatial development that incorporates and integrates essential insights of the Piaget, Nativist, and Vygotskyan approaches.
Over the past several years, "spatial reasoning" has gained renewed prominence among mathematics educators, as spatial skills are proving to be not just essential to mathematical understanding but also strong predictors of future success beyond the classroom in fields such as science, technology, and engineering. By exploring both primary and emergent dimensions, Spatial Reasoning in the Early Years helps define the concept of spatial reasoning and provides compelling evidence of the need for a clear focus within early education specifically. The authors review the research, look across current theories, and investigate implications for contemporary school mathematics pedagogy as they identify areas of inquiry necessary to bring a stronger spatial reasoning emphasis into the classroom. The book contains many classroom- or workshop-based vignettes, highlighting the complexity of spatial reasoning in educational practice, providing an in-depth analysis of spatial reasoning as it applies to classroom practice, and offering new ways of framing lessons to help young students hone their spatial reasoning abilities. The book concludes with a forward-looking agenda that contributes to developing a greater understanding of the role spatial reasoning plays in educational contexts and beyond. Supported by plentiful visual representations, Spatial Reasoning in the Early Years skillfully integrates the conceptual and the concrete, making this text a dynamic and accessible resource.
How do designers in research-driven practices differentiate themselves from each other and form distinctive platforms for future practice? The research presented in this second edition and carried out in Australia as part of an Australian Research Council Discovery Program is of significance for design practice, review, and our deeper understanding of the design of space and spaces. In continuing the exploration of spatial intelligence," this research further develops our understanding of designers, how they work and what they draw on through their lives that shapes their spatial thinking, and their practice. The research also provides broader insights into a more public understanding and acknowledgement of our collective spatial intelligence. It shows how this could be developed and enhanced to provide more spatial and design literacy in our communities, and how these can engage with their changing environments. Contributors: Benedict Anderson, Suzie Attiwill, Nigel Bertram, Richard Black, Stephen Collier, Graham Crist, Lucas Devriendt, Harold Fallon, Arnaud Hendrickx, Tom Holbrook, CJ Lim, Paul Minifie, Vivian Mitsogianni, Stephen Neille, Deborah Saunt, Jon Tarry, Jo Van Den Berghe, Gretchen Wilkins
Spatial Reasoning for Effective GIS by Joseph K. Berry This incisive and witty book describes the development of geographic technology from maps that simply tell us "Where is what?" to systems that help us decide "So what?" It encourages new understandings of mapped data, data analysis procedures, and the uses of maps, fostering an appreciation of GIS as an effective analytical tool in many complex processes. The cover image was generated by Innovative GIS Solutions, Inc., Fort Collins, Colo., using its RAPiD Surfing software to enhance the terrain analysis capabilities available with the ARC/INFO GIS.?* The image was created using Digital Elevation Model data for the Elsinore Valley Municipal Water District of the Santa Ana mountains in southern California. The image represents a 3-D perspective looking north toward Lake Elsinore with partial renderings of analytical hillshading and shaded relief draped on a wire frame elevation model. ?*RAPiD Surfing is a trademark of Innovative GIS Solutions, Inc., Fort Collins, Colo. ARC/INFO is a registered trademark of Environmental Systems Research Institute Inc., Redlands, Calif.
"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
Spatial reasoning tests are widely used during selection processes which require an ability to use practical and visual skills. They are more common in jobs such as engineering and driving roles but are also more and more being utilised on medical and science roles. Spatial reasoning, or ability as it is sometimes called, involves the candidate visualising and then manipulating different complex shapes and patterns. Competence in spatial awareness is said to be mostly inherited; however, tests have proven that your ability in this type of test can be greatly improved with targeted practice. This book will provide you with over 230 pages of sample spatial reasoning test questions and answers to help you prepare thoroughly for the tests.
This revolutionary workbook will help students develop the spatial skills they need for success in a variety of technical careers, including engineering, architecture, dentistry, computer programming, chemistry, mathematics, and more. Ten fun, easy-to-use modules provide firsthand experience in working with isometric drawings, orthographic projections, 3D object rotations, flat pattern developments, reflections and symmetry, surfaces and solids of revolution, cross-sections of solids, and combining solids.
Do you need to prepare for an aptitude test for an interview or selection process? Do you want to practise and improve your scores? Ultimate Aptitude Tests, now in its fourth edition and part of the best-selling Ultimate series, is the largest and most comprehensive book of its kind, boasting over 1000 varied practice aptitude questions with accompanying answers and explanations. In such a competitive job market, it's the perfect book to ensure you're entirely prepared to get those high scores and impress potential employers. Businesses use aptitude tests when recruiting; sometimes even to fast-track potential leaders. Providing essential practice, Ultimate Aptitude Tests includes tests like those you are likely to encounter, including abstract visual tests, verbal and numerical reasoning tests, practical skills and understanding tests, spatial and systems potential tests and logic and intuition tests of different types. This new edition also now includes a brand new section on online testing environments as well as free access to a separate full online test to evaluate your abilities. Ultimate Aptitude Tests is brilliant preparation for candidates wishing to outshine their competition and secure their dream job. About the Ultimate series... The Ultimate series contains practical advice on essential job search skills to give you the best chance of getting the job you want. Taking you from your job search to completing an interview, it includes guidance on CV or résumé and cover letter writing, practice questions for passing aptitude, psychometric and other employment tests, and reliable advice for interviewing.
Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.
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 volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.
