the illusion of linearity 41 mathematics education library

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The Illusion Of Linearity

Author : Dirk de Bock
ISBN : 9780387711645
Genre : Education
File Size : 30. 34 MB
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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
ISBN : 9780387715759
Genre : Education
File Size : 29. 74 MB
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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
ISBN : 9789077874196
Genre : Education
File Size : 89. 5 MB
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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
ISBN : 9780387227238
Genre : Psychology
File Size : 82. 78 MB
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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.

The Proceedings Of The 12th International Congress On Mathematical Education

Author : Sung Je Cho
ISBN : 9783319126883
Genre : Education
File Size : 54. 64 MB
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This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Computer Vision

Author : Richard Szeliski
ISBN : 1848829469
Genre : Computers
File Size : 79. 76 MB
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Humans perceive the three-dimensional structure of the world with apparent ease. However, despite all of the recent advances in computer vision research, the dream of having a computer interpret an image at the same level as a two-year old remains elusive. Why is computer vision such a challenging problem and what is the current state of the art? 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.

Resources For Teaching Mathematics 11 14

Author : Colin Foster
ISBN : 9781441120533
Genre : Education
File Size : 32. 7 MB
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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.

Finite Dimensional Vector Spaces

Author : Paul R. Halmos
ISBN : 9780486822266
Genre : Mathematics
File Size : 81. 31 MB
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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.

Opening The Cage

Author : Ole Skovsmose
ISBN : 9789460918087
Genre : Education
File Size : 51. 80 MB
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The picture on the front of this book is an illustration for Totakahini: The tale of the parrot, by Rabindranath Tagore, in which he satirized education as a magnificent golden cage. Opening the cage addresses mathematics education as a complex socio-political phenomenon, exploring the vast terrain that spans critique and politics. Opening the cage includes contributions from educators writing critically about mathematics education in diverse contexts. They demonstrate that mathematics education is politics, they investigate borderland positions, they address the nexus of mathematics, education, and power, and they explore educational possibilities. Mathematics education is not a free enterprise. It is carried on behind bars created by economic, political, and social demands. This cage might not be as magnificent as that in Tagore’s fable. But it is strong. Opening the cage is a critical and political challenge, and we may be surprised to see what emerges.

Semiotics In Mathematics Education

Author : Norma Presmeg
ISBN : 9783319313702
Genre : Education
File Size : 88. 81 MB
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This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. Theories presented by Saussure, Peirce, Vygotsky and other writers on semiotics are summarized in their relevance to the teaching and learning of mathematics. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics. Such use involves seeing the general in the particular, a process that is not always clear to learners. Therefore, in several traditional frameworks, semiotics has the potential to serve as a powerful conceptual lens in investigating diverse topics in mathematics education research. Topics that are implicated include (but are not limited to): the birth of signs; embodiment, gestures and artifacts; segmentation and communicative fields; cultural mediation; social semiotics; linguistic theories; chains of signification; semiotic bundles; relationships among various sign systems; intersubjectivity; diagrammatic and inferential reasoning; and semiotics as the focus of innovative learning and teaching materials.

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