This page is a sub-page of our page Site Overview.
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Copyable direct links to some of the KMR web pages
If you copy the list of links below, and post it to yourself,
you will have a list of “clickable” links.
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Site Overview:
================================================== På svenska (in Swedish):
NSDL: Nya Samarbetsformer i det Digitala Lärandelandskapet:
NSDL på YouTube:
Framtidens Bibliotek (Modelleringsövningar på KTHB våren 2014):
Matteplåster och Didaktiska Flaskhalsinterventioner:
Bengt Ulin om Musik:
======================== English below:
Asynchronous Public Service:
CHARGE (Cultural Heritage Asynchronous Research Grid Environment):
MATCH (MAthematical Transformations for Cultural Heritage):
====================
Modeling and Mapping:
Represent-Deduce-Interpret:
Modeling: An interview with “modeling guru” David Hestenes (August 2014):
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Provocative Modeling:
Feeding the Greed:
Large Bureaucracies – How they really work:
Penetrating the Glass Ceiling – Why Women Can’t Do It:
Permission to Steal – Revealing the Roots of Corporate Scandal:
The Corporation – The Pathological Pursuit of Profit and Power:
The Stock Market – How it really works:
Gender Transformations – Modeling Differences and Similarities between Gender Types:
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Systems Modeling:
Global Climate Change:
https://kmr.dialectica.se/wp/research/knowledge-management/modeling/systems-modeling/global-climate-change/
Shifting the Burden:
Shifting the Burden to Science and Technology:
Theory U:
Militarism – Terrorism:
Tragedy of the Commons:
Personnel Performance Problems:
===============
Political Modeling:
A Reorientation of Democracy – From the present “Opinionocracy” towards a future “Visionocracy”:
Sveriges Afrikanska Krig:
Swedish Migration Policy:
The Small-Mart Revolution – How Local Businesses are Beating the Global Competition:
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Learning Modeling:
The Learning Organization:
The Learn-Err Model:
The Wheel of Learning:
The Learner Cockpit:
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Knowledge Negotiations:
Disagreement Management:
Collectigence:
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Math Rehab:
Mathematics is Representation:
What does it feel like to do Mathematics? :
What is the difference between Mathematics and Science? :
The historical struggle to get rid of meaning:
The Difficultification Industry:
Exploring and Explaining:
Mathematical Concepts:
MathRehab’s YouTube Channel:
https://www.youtube.com/user/MathRehab
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First-Class Mathematics:
Expandable Learning Objects (“Kortslutande” Lärobjekt):
Mathematical Hikes:
Math Makers and Math Fakers:
Matteplåster och Didaktiska Flaskhalsinterventioner:
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Numbers:
Representation and Reconstruction of Numbers:
Numbers and their Digits in different Bases:
Shift of Base for Numbers:
Shift of Basis (in general):
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Music:
Solfege – An Abstract Key System:
Instantiations of Solfege in different Keys:
Pythagorean Intervals:
The Logarithmic Piano:
Abstract and Concrete Quint Circles:
Interactions of Quarts and Quints:
Transposition = Shift of Basis in Music:
Chord Ladder:
Chord-Set Inclusion-Graph:
Generating the Circle of Quints from the Mathematical Cogwheels:
Uniformisation of Intervals: Equally Tempered Scales:
Atonal Music:
Bengt Ulin om Musik:
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Art:
Arcimboldo:
Oscar Reutersvärd:
M. C. Escher:
Surrealism:
Conformal Face Mapping:
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Expandable Stories:
Discourse Algebra / Stories:
Traps:
The Linear War between the planets Vectoria and Vectoria’ :
Einstein for Flatlanders:
Einstein for Linelanders:
=================================
Expandable Learning Objects:
Homotopy:
Interactive Learning Objects:
Arithmetical Crossfire:
Experiment here:
http://kmr.nada.kth.se/~amb/math/JSmathPrimeTime.html
Arrow Board:
Experiment here:
(not yet available)
Mathematical Cogwheels:
Experiment here:
http://kmr.nada.kth.se/~amb/math/JSmathCogwheels_m_n.html
Numbers and their Digits in different Bases:
Experiment here:
http://kmr.nada.kth.se/~amb/math/JSmathNumbersInDifferentBases.html
Primes Factory:
Experiment here:
http://kmr.nada.kth.se/%7Eamb/math/JSmathPrimeTimeFactor.html
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Algebra:
Some basic algebraic concepts:
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Linear Algebra:
Vectors:
Representation and Reconstruction of Vectors:
Shift of Basis for a Vector Space:
https://kmr.dialectica.se/wp/research/math-rehab/learning-object-repository/algebra/linear-algebra/vectors/change-of-basis/
Linear Transformations:
A Linear Space Probe:
The Rank-Nullity Theorem of Linear Algebra:
Shift of Basis for Linear Transformations:
Eigenvalues and Eigenvectors of a Linear Transformation from a VectorSpace to itself:
Diagonalization of Quadratic Forms (= Finding the Symmetry Axes of the corresponding Quadric Surface):
Singular Values Decomposition:
The Least Squares Method:
The Pseudoinverse:
The Linear War between the planets Vectoria and Vectoria’ :
=================
Geometric Algebra:
Geometric Numbers:
Complex Numbers:
Trigonometry:
Complex Trigonometry:
Quaternions:
https://kmr.dialectica.se/wp/research/math-rehab/learning-object-repository/algebra/geomtric-algebra/geometric-numbers/quaternions/
The Evolution of Geometric Arithmetic:
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Clifford Algebra:
Combinatorial Clifford Algebra:
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Matrix Algebra:
Matrices and Gaussian Elimination:
Solution of m equations in n unknowns:
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Business Algebra:
The Universal Production Process:
Injecting Learning Loops:
User Modeling:
Customer Modeling:
Experience Transfer:
Product Readiness:
The EE( S+O+C )( M+O+P ) Model:
The Ericsson AXE-10 Delay:
https://kmr.dialectica.se/wp/research/math-rehab/learning-object-repository/algebra/business-algebra/the-eesocmop-model/the-ericsson-axe-10-delay/
Corporate Training Process:
Innovation Hubs:
The TELL ME Innovation Cycle:
Ethical E-Commerce:
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Knowledge Algebra:
The Universal Knowledge Evolution Process:
Knowlecular Informatics:
Knowledge Tentacles:
Activities and Participators:
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Social Algebra:
Socially Responsible Algebra:
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Calculus:
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Calculus of One Real Variable:
Basic Properties of Functions:
Differentiation and Affine Approximation in One Real Variable:
The Chain Rule (in One Real Variable):
The Fundamental Theorem of Calculus (in One Real Variable):
Taylor Expansion (in One Variable):
Fourier Series (in One Variable):
Integration (in One Variable):
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Calculus of Several Real Variables:
Differentiation and Affine Approximation (in Several Real Variables):
The Chain Rule (in Several Real Variables):
Directional Derivatives:
Gradients (of “flying-carpet-like surfaces” z = f(x, y), “level-surfaces” g(z, y, z) = const. , and “parametrised surfaces” ( x(u, v), y(u, v), z(u, v) ):
Taylor Expansion (of “flying-carpet-like surfaces” z = f(x, y) of Several Real Variables):
Integration (of “flying-carpet-like surfaces” of Several Real Variables):
Substitution of Integration Variables in Integrals (of Several Real Variables):
Exact Differential Forms:
https://kmr.dialectica.se/wp/research/math-rehab/learning-object-repository/calculus/calculus-of-several-real-variables/exact-differential-forms/
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Calculus of One Complex Variable:
Conformal Mapping:
Inversion:
Steiner Circles (and the Circle of Appolonius):
Möbius Transformations:
Stereographic Projection:
The Mercator Projection:
===============
Social Calculus:
The TELL ME Innovation Cycle:
===============
Category Theory:
A Categorical Manifesto:
Categorical Informatics:
Functor Categories:
Limits and Colimits:
Category of Bundles over a Base Space:
Naturally Related Functors and Processes:
Adjoint Functors:
Institution Theory:
The Human Category:
Algebraic Thought:
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Geometry:
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Metric Geometry:
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Affine Geometry:
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Projective Geometry:
Projective Metrics:
The Euclidean Degeneration:
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Euclidean Geometry:
Geometric Optics:
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Triangles (and the nine-point Circle):
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Plane Curves:
Conics = Conic Sections:
Cissoids:
Conchoids:
Strophoids:
Cycloids and Trochoids:
Evolutes and Involutes:
Parallel Curves:
Inverse Curves:
Pedal Curves:
Radials:
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Surfaces:
Quadric Surfaces:
Confocal Quadrics:
Canal Surfaces:
Dupin Cyclides:
Developable Surfaces:
Generalized Cylinders:
Focal Surfaces:
Isometric Deformations:
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Hyperbolic Geometry:
The Beltrami-Klein Model and the Poincaré Model:
=================
Elliptic Geometry:
=====================
Differential Geometry:
Geodesic Curves:
The Weingarten Map:
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Mathematical Concepts:
Disambiguation:
Disambiguating “plus”:
Function:
Basic Properties of Functions:
Space:
Time:
The Expansion of Time into a Laurent Series of Moments:
Entropy:
Shannon Entropy:
Historic Entropy (= Bayesian Entropy):
BioEntropy:
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The Economic Partial Process:
Promethean Technologies:
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KMR projects 2000 – 2016:
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International KMR projects:
WGLN (Wallenberg Global Learning Network):
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European KMR Projects:
TELL ME (Technology Enhanced Learning Livinglabs for Manufacturing Environments):
TEL-Map (Future-gazing for Technology Enhanced Learning):
ROLE (Responsive Open Learning Environments):
H-net (Hematology network for Europe):
Organic Edunet (Multilingual Semantic Network for Learning Organic Farming in Europe):
LUISA ( Learning Content Management System Using Innovative Semantic Web Services Architecture ):
PROLEARN ( EU/IST/FP6 Network of Excellence for PROfessional LEARNing ):
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Potential Projects:
Norm-Critical Innovation:
Artificial Ethics:
Matteplåster:
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Conzilla – The KMR Concept Browser:
http://www.conzilla.org/wiki/Overview/Main
Collaborilla:
http://www.conzilla.org/wiki/Collaborilla/Main
Confolio – The KMR Electronic Porfolio:
http://www.confolio.org/wiki/Introduction/Main
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