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Students’ images of mathematics

Instructional Science, 2013
Students’ judgments about “what counts” as mathematics in and out of school have important consequences for problem solving and transfer, yet our understanding of the source and nature of these judgments remains incomplete. Thirty-five sixth grade students participated in a study focused on what activities students judge as mathematical, and how they ...
Lee Martin, Pamela Gourley-Delaney
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A Mathematical Model for Computer Image Tracking

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982
A mathematical model using an operator formulation for a moving object in a sequence of images is presented. Time-varying translation and rotation operators are derived to describe the motion. A variational estimation algorithm is developed to track the dynamic parameters of the operators.
Legters, George R. jun., Young, Tzay Y.
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Mathematics of Neutron Imaging

2009
Imaging with neutrons at macro-world scales (e.g., >10 μm) requires particular understanding of the non-diffracting or refracting interactions that these electrically neutral particles have with their environment. While image formation with neutrons shares some commonality with other radiation sources such as X-rays and gamma rays, neutrons provide ...
K. W. Tobin, P. R. Bingham, J. Gregor
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Mathematics in Image Processing

2013
Table of Contents * Introduction u by H. Zhao * MRA-based wavelet frames and applications u by B. Dong and Z. Shen * Five lectures on sparse and redundant representations modelling of images u by M. Elad * Simulation of elasticity, biomechanics, and virtual surgery u by J. M. Teran, J. L.
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Categories and Images of Mathematics

2004
The first part of this book described the development of ideal theory from Dedekind to Noether. This account was meant to illustrate, from the perspective offered by that specific theory, the rise of a central image of twentieth-century mathematical knowledge according to which mathematics is seen as a science of structures.
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Mathematics of Digital Images

2006
Compression, restoration and recognition are three of the key components of digital imaging. The mathematics needed to understand and carry out all these components are explained here in a style that is at once rigorous and practical with many worked examples, exercises with solutions, pseudocode, and sample calculations on images.
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Changing students’ images of “mathematics as a discipline”

The Journal of Mathematical Behavior, 2015
Abstract The article describes and discusses a study of upper secondary students’ changes in beliefs/views about (or images of) mathematics as a (scientific) discipline. A class of 23 students is followed over a one-year period, in which they were involved in the conduction of two specially designed teaching modules.
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Mathematical Modeling of Real-World Images

Constructive Approximation, 1996
In ``Mathematical modeling of real-world images'' the author considers the problem of approximating images using appropriate mathematical objects. If \(D = [0,1]^2\), the author defines the metric space \(IM_D\) of completed graphs of bounded functions (as closed bounded subsets of \(\mathbb{R}^3)\) with the Hausdorff distance.
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Public Image of Mathematics

1998
The public image of mathematics is not of the best. The work of mathematicians and to a certain extent the work of computer scientists is not considered as an important contribution to our civilisation. Even in countries like France where mathematics enjoyed a higher reputation than elsewhere, things have changed.
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