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Visualization in Mathematics, Reading and Science Education

Visualization in Mathematics, Reading and Science Education
Author: Linda M. Phillips
Publisher: Springer Science & Business Media
Total Pages: 112
Release: 2010-09-02
Genre: Science
ISBN: 9048188164

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Science education at school level worldwide faces three perennial problems that have become more pressing of late. These are to a considerable extent interwoven with concerns about the entire school curriculum and its reception by students. The rst problem is the increasing intellectual isolation of science from the other subjects in the school curriculum. Science is too often still taught didactically as a collection of pre-determined truths about which there can be no dispute. As a con- quence, many students do not feel any “ownership” of these ideas. Most other school subjects do somewhat better in these regards. For example, in language classes, s- dents suggest different interpretations of a text and then debate the relative merits of the cases being put forward. Moreover, ideas that are of use in science are presented to students elsewhere and then re-taught, often using different terminology, in s- ence. For example, algebra is taught in terms of “x, y, z” in mathematics classes, but students are later unable to see the relevance of that to the meaning of the universal gas laws in physics, where “p, v, t” are used. The result is that students are c- fused and too often alienated, leading to their failure to achieve that “extraction of an education from a scheme of instruction” which Jerome Bruner thought so highly desirable.


Reading for Evidence and Interpreting Visualizations in Mathematics and Science Education

Reading for Evidence and Interpreting Visualizations in Mathematics and Science Education
Author: Stephen P. Norris
Publisher: Springer Science & Business Media
Total Pages: 209
Release: 2012-09-17
Genre: Education
ISBN: 9460919243

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CRYSTAL—Alberta was established to research ways to improve students’ understanding and reasoning in science and mathematics. To accomplish this goal, faculty members in Education, Science, and Engineering, as well as school teachers joined forces to produce a resource bank of innovative and tested instructional materials that are transforming teaching in the K-12 classroom. Many of the instructional materials cross traditional disciplinary boundaries and explore contemporary topics such as global climate change and the spread of the West Nile virus. Combined with an emphasis on the use of visualizations, the instructional materials improve students’ engagement with science and mathematics. Participation in the CRYSTAL—Alberta project has changed the way I think about the connection between what I do as a researcher and what I do as a teacher: I have learned how to better translate scientific knowledge into language and activities appropriate for students, thereby transforming my own teaching. I also have learned to make better connections between what students are learning and what is happening in their lives and the world, thereby increasing students’ interest in the subject and enriching their learning experience.


Visualization in Science Education

Visualization in Science Education
Author: John K. Gilbert
Publisher: Springer Science & Business Media
Total Pages: 375
Release: 2006-03-30
Genre: Science
ISBN: 1402036132

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This book addresses key issues concerning visualization in the teaching and learning of science at any level in educational systems. It is the first book specifically on visualization in science education. The book draws on the insights from cognitive psychology, science, and education, by experts from five countries. It unites these with the practice of science education, particularly the ever-increasing use of computer-managed modelling packages.


Visualization: Theory and Practice in Science Education

Visualization: Theory and Practice in Science Education
Author: John K. Gilbert
Publisher: Springer Science & Business Media
Total Pages: 326
Release: 2007-12-05
Genre: Education
ISBN: 1402052677

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External representations (pictures, diagrams, graphs, concrete models) have always been valuable tools for the science teacher. This book brings together the insights of practicing scientists, science education researchers, computer specialists, and cognitive scientists, to produce a coherent overview. It links presentations about cognitive theory, its implications for science curriculum design, and for learning and teaching in classrooms and laboratories.


Math Made Visual

Math Made Visual
Author: Claudi Alsina
Publisher: American Mathematical Soc.
Total Pages: 173
Release: 2006-12-31
Genre: Mathematics
ISBN: 1614441006

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Is it possible to make mathematical drawings that help to understand mathematical ideas, proofs, and arguments? The [Author];s of this book are convinced that the answer is yes and the objective of this book is to show how some visualization techniques may be employed to produce pictures that have both mathematical and pedagogical interest. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece, and India, but only in the last thirty years has there been a growing interest in so-called ``proofs without words''. Hundreds of these have been published in Mathematics Magazine and The College Mathematics Journal, as well as in other journals, books, and on the internet. Often a person encountering a ``proof without words'' may have the feeling that the pictures involved are the result of a serendipitous discovery or the consequence of an exceptional ingenuity on the part of the picture's creator. In this book, the [Author];s show that behind most of the pictures, ``proving'' mathematical relations are some well-understood methods. As the reader shall see, a given mathematical idea or relation may have many different images that justify it, so that depending on the teaching level or the objectives for producing the pictures, one can choose the best alternative.


Visualizing Mathematics

Visualizing Mathematics
Author: Kelly S. Mix
Publisher: Springer
Total Pages: 378
Release: 2018-12-07
Genre: Education
ISBN: 3319987674

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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.


Mathematics and Art

Mathematics and Art
Author: Claude P. Bruter
Publisher: Springer Science & Business Media
Total Pages: 337
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662049090

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Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.


Knowledge Visualization and Visual Literacy in Science Education

Knowledge Visualization and Visual Literacy in Science Education
Author: Ursyn, Anna
Publisher: IGI Global
Total Pages: 456
Release: 2016-05-31
Genre: Education
ISBN: 1522504818

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Effective communication within learning environments is a pivotal aspect to students’ success. By enhancing abstract concepts with visual media, students can achieve a higher level of retention and better understand the presented information. Knowledge Visualization and Visual Literacy in Science Education is an authoritative reference source for the latest scholarly research on the implementation of visual images, aids, and graphics in classroom settings and focuses on how these methods stimulate critical thinking in students. Highlighting concepts relating to cognition, communication, and computing, this book is ideally designed for researchers, instructors, academicians, and students.


Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software

Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software
Author: Habre, Samer
Publisher: IGI Global
Total Pages: 298
Release: 2013-05-31
Genre: Education
ISBN: 1466640510

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Mathematics is, by its very nature, an abstract discipline. However, many students learn best by thinking in terms of tangible constructs. Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software brings these conflicting viewpoints together by offering visual representations as a method of mathematics instruction. The book explores the role of technology in providing access to multiple representations of concepts, using software applications to create a rich environment in which a student’s understanding of mathematical concepts can flourish. Both students and instructors of mathematics at the university level will use this book to implement various novel techniques for the delivery of mathematical concepts in their classrooms. This book is part of the Research Essential collection.


Science Teachers’ Use of Visual Representations

Science Teachers’ Use of Visual Representations
Author: Billie Eilam
Publisher: Springer
Total Pages: 335
Release: 2014-07-11
Genre: Science
ISBN: 3319065262

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This book examines the diverse use of visual representations by teachers in the science classroom. It contains unique pedagogies related to the use of visualization, presents original curriculum materials as well as explores future possibilities. The book begins by looking at the significance of visual representations in the teaching of science. It then goes on to detail two recent innovations in the field: simulations and slowmation, a process of explicit visualization. It also evaluates the way teachers have used different diagrams to illustrate concepts in biology and chemistry. Next, the book explores the use of visual representations in culturally diverse classrooms, including the implication of culture for teachers’ use of representations, the crucial importance of language in the design and use of visualizations and visualizations in popular books about chemistry. It also shows the place of visualizations in the growing use of informal, self-directed science education. Overall, the book concludes that if the potential of visualizations in science education is to be realized in the future, the subject must be included in both pre-service and in-service teacher education. It explores ways to develop science teachers’ representational competence and details the impact that this will have on their teaching. The worldwide trend towards providing science education for all, coupled with the increased availability of color printing, access to personal computers and projection facilities, has lead to a more extensive and diverse use of visual representations in the classroom. This book offers unique insights into the relationship between visual representations and science education, making it an ideal resource for educators as well as researchers in science education, visualization and pedagogy.