The Illusion of Linearity

Author: Dirk de Bock
Publisher: Springer Science & Business Media
ISBN: 0387711643
Format: PDF
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This book presents the reader with a comprehensive overview of the major findings of the recent research on the illusion of linearity. It discusses: how the illusion of linearity appears in diverse domains of mathematics and science; what are the crucial psychological, mathematical, and educational factors being responsible for the occurrence and persistence of the phenomenon; and how the illusion of linearity can be remedied.

Philosophical Dimensions in Mathematics Education

Author: Karen Francois
Publisher: Springer Science & Business Media
ISBN: 0387715754
Format: PDF, ePub, Mobi
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This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

Handbook of Research on the Psychology of Mathematics Education

Author: Angel Gutiérrez
Publisher: Sense Publishers
ISBN: 9077874194
Format: PDF, ePub
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This volume is a compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation, 30 years ago. It has been written to become an essential reference for mathematics education research in the coming years

Perception and Illusion

Author: N.J. Wade
Publisher: Springer Science & Business Media
ISBN: 0387227237
Format: PDF, Kindle
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Our contact with the world is through perception, and therefore the study of the process is of obvious importance and signi?cance. For much of its long history, the study of perception has been con?ned to natural- tic observation. Nonetheless, the phenomena considered worthy of note have not been those that nurture our survival—the veridical features of perception—but the oddities or departures from the common and c- monplace accuracies of perception. With the move from the natural world to the laboratory the oddities of perception multiplied, and they received ever more detailed scrutiny. My general intention is to examine the interpretations of the perc- tual process and its errors throughout history. The emphasis on errors of perception might appear to be a narrow approach, but in fact it enc- passes virtually all perceptual research from the ancients until the present. The constancies of perception have been taken for granted whereas - partures from constancies (errors or illusions) have fostered fascination.

Computer Vision

Author: Richard Szeliski
Publisher: Springer Science & Business Media
ISBN: 9781848829350
Format: PDF, Mobi
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Computer Vision: Algorithms and Applications explores the variety of techniques commonly used to analyze and interpret images. It also describes challenging real-world applications where vision is being successfully used, both for specialized applications such as medical imaging, and for fun, consumer-level tasks such as image editing and stitching, which students can apply to their own personal photos and videos. More than just a source of “recipes,” this exceptionally authoritative and comprehensive textbook/reference also takes a scientific approach to basic vision problems, formulating physical models of the imaging process before inverting them to produce descriptions of a scene. These problems are also analyzed using statistical models and solved using rigorous engineering techniques. Topics and features: structured to support active curricula and project-oriented courses, with tips in the Introduction for using the book in a variety of customized courses; presents exercises at the end of each chapter with a heavy emphasis on testing algorithms and containing numerous suggestions for small mid-term projects; provides additional material and more detailed mathematical topics in the Appendices, which cover linear algebra, numerical techniques, and Bayesian estimation theory; suggests additional reading at the end of each chapter, including the latest research in each sub-field, in addition to a full Bibliography at the end of the book; supplies supplementary course material for students at the associated website, http://szeliski.org/Book/. Suitable for an upper-level undergraduate or graduate-level course in computer science or engineering, this textbook focuses on basic techniques that work under real-world conditions and encourages students to push their creative boundaries. Its design and exposition also make it eminently suitable as a unique reference to the fundamental techniques and current research literature in computer vision.

Didactics of Mathematics as a Scientific Discipline

Author: Rolf Biehler
Publisher: Springer Science & Business Media
ISBN: 030647204X
Format: PDF, ePub, Mobi
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Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.

Finite Dimensional Vector Spaces

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486822265
Format: PDF, ePub, Mobi
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Classic, widely cited, and accessible treatment offers an ideal supplement to many traditional linear algebra texts. "Extremely well-written and logical, with short and elegant proofs." — MAA Reviews. 1958 edition.

The Crest of the Peacock

Author: George Gheverghese Joseph
Publisher: Princeton University Press
ISBN: 9780691135267
Format: PDF
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"Enthralling ... After reading it, we cannot see the past in the same comforting haze of age-old stories, faithfully and uncritically retold from teacher to pupil down the years ... Invaluable for mathematics teachers at all levels."--New Scientist.

Resources for Teaching Mathematics 11 14

Author: Colin Foster
Publisher: Bloomsbury Publishing
ISBN: 144112053X
Format: PDF
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This resource contains 50 ready-to-use mathematics lesson plans suitable for the whole department to use with learners aged 11-14. Each plan consists of a teacher's sheet which breaks down the lesson into time-allocated sections from starter through to homework, together with a photocopiable (or downloadable) student task sheet to give out. There is also a companion website with extra material to support the lesson plans in the book, giving teachers the time and confidence to try new activities in the classroom with minimal preparation. The lesson tasks are open-ended and encourage deep mathematical thinking, allowing learners to explore different topics creatively through solving problems in their own way. This is an essential resource for any busy teacher of mathematics.