Windows on Mathematical Meanings

Windows on Mathematical Meanings

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  • Author: Richard Noss
  • Publisher: Springer Science & Business Media
  • ISBN: 9400916965
  • Category : Education
  • Languages : en
  • Pages : 288

This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.


Windows on Teaching Math

Windows on Teaching Math

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  • Author: Katherine Klippert Merseth
  • Publisher: Teachers College Press
  • ISBN: 0807742783
  • Category : Education
  • Languages : en
  • Pages : 113

A practical hands-on guide to improving the teaching of mathematics. Provides a collection of cases that blend important mathematics content with the real complexities of school and classroom life.


Computer Aided Assessment of Mathematics

Computer Aided Assessment of Mathematics

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  • Author: Chris Sangwin
  • Publisher: OUP Oxford
  • ISBN: 0191635863
  • Category : Mathematics
  • Languages : en
  • Pages : 200

Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and, in articulating precisely the desired criteria, the teacher needs to think very carefully about the goals of the task. Hence CAA acts as a vehicle to examine assessment and mathematics education in detail and from a fresh perspective. One example is how it is natural for busy teachers to set only those questions that can be marked by hand in a straightforward way, even though the constraints of paper-based formats restrict what they do and why. There are other kinds of questions, such as those with non-unique correct answers, or where assessing the properties requires the marker themselves to undertake a significant computation. It is simply not sensible for a person to set these to large groups of students when marking by hand. However, such questions have their place and value in provoking thought and learning. This book, aimed at teachers in both schools and universities, explores how, in certain cases, different question types can be automatically assessed. Case studies of existing systems have been included to illustrate this in a concrete and practical way.


Introduction to the Mathematics of Computer Graphics

Introduction to the Mathematics of Computer Graphics

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  • Author: Nathan Carter
  • Publisher: American Mathematical Soc.
  • ISBN: 1614441227
  • Category : Mathematics
  • Languages : en
  • Pages : 462

This text, by an award-winning [Author];, was designed to accompany his first-year seminar in the mathematics of computer graphics. Readers learn the mathematics behind the computational aspects of space, shape, transformation, color, rendering, animation, and modeling. The software required is freely available on the Internet for Mac, Windows, and Linux. The text answers questions such as these: How do artists build up realistic shapes from geometric primitives? What computations is my computer doing when it generates a realistic image of my 3D scene? What mathematical tools can I use to animate an object through space? Why do movies always look more realistic than video games? Containing the mathematics and computing needed for making their own 3D computer-generated images and animations, the text, and the course it supports, culminates in a project in which students create a short animated movie using free software. Algebra and trigonometry are prerequisites; calculus is not, though it helps. Programming is not required. Includes optional advanced exercises for students with strong backgrounds in math or computer science. Instructors interested in exposing their liberal arts students to the beautiful mathematics behind computer graphics will find a rich resource in this text.


Intelligent Computer Mathematics

Intelligent Computer Mathematics

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  • Author: Kevin Buzzard
  • Publisher: Springer Nature
  • ISBN: 3031166817
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 355

This book constitutes the refereed proceedings of the 15th International Conference on Intelligent Computer Mathematics, CICM 2022, held in Tbilisi, Georgia, in September 2022. The 17 full papers, 1 project/ survey paper, 4 short papers, and 2 abstracts of invited papers presented were carefully reviewed and selected from a total of 37 submissions. The papers focus on theoretical and practical solutions for these challenges including computation, deduction, narration, and data management.


Computer Mathematics

Computer Mathematics

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  • Author: Deepak Kapur
  • Publisher: Springer
  • ISBN: 3540878270
  • Category : Computers
  • Languages : en
  • Pages : 359

This book constitutes thoroughly refereed post-conference proceedings of the 8th Asian Symposium on Computer Mathematics, ASCM 2007, held in Singapore in December 2007. The 22 revised full papers and 5 revised poster papers presented together with 3 invited lectures were carefully selected during two rounds of reviewing and improvement from 65 submissions. The papers are organized in topical sections on algorithms and implementations, numerical methods and applications, cryptology, and computational logic.


Handbook of Mathematical Models in Computer Vision

Handbook of Mathematical Models in Computer Vision

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  • Author: Nikos Paragios
  • Publisher: Springer Science & Business Media
  • ISBN: 0387288317
  • Category : Computers
  • Languages : en
  • Pages : 612

Abstract Biological vision is a rather fascinating domain of research. Scientists of various origins like biology, medicine, neurophysiology, engineering, math ematics, etc. aim to understand the processes leading to visual perception process and at reproducing such systems. Understanding the environment is most of the time done through visual perception which appears to be one of the most fundamental sensory abilities in humans and therefore a significant amount of research effort has been dedicated towards modelling and repro ducing human visual abilities. Mathematical methods play a central role in this endeavour. Introduction David Marr's theory v^as a pioneering step tov^ards understanding visual percep tion. In his view human vision was based on a complete surface reconstruction of the environment that was then used to address visual subtasks. This approach was proven to be insufficient by neuro-biologists and complementary ideas from statistical pattern recognition and artificial intelligence were introduced to bet ter address the visual perception problem. In this framework visual perception is represented by a set of actions and rules connecting these actions. The emerg ing concept of active vision consists of a selective visual perception paradigm that is basically equivalent to recovering from the environment the minimal piece information required to address a particular task of interest.


Mathematical Aspects of Computer and Information Sciences

Mathematical Aspects of Computer and Information Sciences

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  • Author: Daniel Slamanig
  • Publisher: Springer Nature
  • ISBN: 3030431207
  • Category : Computers
  • Languages : en
  • Pages : 469

This book constitutes the refereed proceedings of the 8th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2019, held in Gebze, Turkey, in November 2019. The 22 revised papers and 14 short papers presented were carefully reviewed and selected from 66 submissions. The papers are organized in the following topical sections: algorithms and foundation; security and cryptography; combinatorics, codes, designs and graphs; data modeling and machine learning; tools and software track.


Advances on Computer Mathematics and Its Applications

Advances on Computer Mathematics and Its Applications

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  • Author: Elias A. Lipitakis
  • Publisher: World Scientific
  • ISBN: 9789810212926
  • Category : Computers
  • Languages : en
  • Pages : 388

This volume contains selected papers of the proceedings of the first Hellenic Conference on Mathematics and Informatics (HERMIS '92). The main theme for HERMIS '92 Conference was Computer Mathematics, with special emphasis on Computational Mathematics, Operational Research and Statistics, and Mathematics in Economic Science. The presented papers of the HERMIS Conference have been classified into the following technical sessions: Numerical solution of Differential Equations, Parallel Processing and Parallel Algorithms, Optimization and Approximation, Algorithms in Operational Research and Control Theory, Statistical Methods and Analysis, Mathematics in Economic Science, Artificial Intelligence and Data Bases Technology.In addition, a number of selected research articles published recently in the Hellenic Mathematical Society Bulletin in the form of special issues on Computer Mathematics (Volumes 31 and 32) are also included.


Mathematical Foundations of Computer Science 1996

Mathematical Foundations of Computer Science 1996

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  • Author: Wojciech Penczek
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540615507
  • Category : Computers
  • Languages : en
  • Pages : 614

This book constitutes the refereed proceedings of the 21st International Symposium on Mathematical Foundations of Computer Science, MFCS '96, held in Crakow, Poland in September 1996. The volume presents 35 revised full papers selected from a total of 95 submissions together with 8 invited papers and 2 abstracts of invited talks. The papers included cover issues from the whole area of theoretical computer science, with a certain emphasis on mathematical and logical foundations. The 10 invited presentations are of particular value.