Copyable direct links

This page is a sub-page of our page Site Overview.


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.


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:


Modeling: An interview with “modeling guru” David Hestenes (August 2014):


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:


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:


Learning Modeling:

The Learning Organization:

The Learn-Err Model:

The Wheel of Learning:

The Learner Cockpit:


Knowledge Negotiations:

Disagreement Management:



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:


First-Class Mathematics:

Expandable Learning Objects (“Kortslutande” Lärobjekt):

Mathematical Hikes:

Math Makers and Math Fakers:

Matteplåster och Didaktiska Flaskhalsinterventioner:



Representation and Reconstruction of Numbers:

Numbers and their Digits in different Bases:

Shift of Base for Numbers:

Shift of Basis (in general):



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:




Oscar Reutersvärd:

M. C. Escher:


Conformal Face Mapping:


Expandable Stories:

Discourse Algebra / Stories:


The Linear War between the planets Vectoria and Vectoria’ :

Einstein for Flatlanders:

Einstein for Linelanders:


Expandable Learning Objects:


Interactive Learning Objects:

Arithmetical Crossfire:

Experiment here:

Arrow Board:

Experiment here:
(not yet available)

Mathematical Cogwheels:

Experiment here:

Numbers and their Digits in different Bases:

Experiment here:

Primes Factory:

Experiment here:



Some basic algebraic concepts:


Linear Algebra:


Representation and Reconstruction of Vectors:

Shift of Basis for a Vector Space:

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:


Complex Trigonometry:


The Evolution of Geometric Arithmetic:


Clifford Algebra:

Combinatorial Clifford Algebra:


Matrix Algebra:

Matrices and Gaussian Elimination:

Solution of m equations in n unknowns:


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:

Corporate Training Process:

Innovation Hubs:

The TELL ME Innovation Cycle:

Ethical E-Commerce:


Knowledge Algebra:

The Universal Knowledge Evolution Process:

Knowlecular Informatics:

Knowledge Tentacles:

Activities and Participators:


Social Algebra:

Socially Responsible Algebra:




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):


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:


Calculus of One Complex Variable:

Conformal Mapping:


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:




Metric Geometry:


Affine Geometry:


Projective Geometry:

Projective Metrics:

The Euclidean Degeneration:


Euclidean Geometry:

Geometric Optics:


Triangles (and the nine-point Circle):


Plane Curves:

Conics = Conic Sections:




Cycloids and Trochoids:

Evolutes and Involutes:

Parallel Curves:

Inverse Curves:

Pedal Curves:




Quadric Surfaces:

Confocal Quadrics:

Canal Surfaces:

Dupin Cyclides:

Developable Surfaces:

Generalized Cylinders:

Focal Surfaces:

Isometric Deformations:


Hyperbolic Geometry:

The Beltrami-Klein Model and the Poincaré Model:


Elliptic Geometry:


Differential Geometry:

Geodesic Curves:

The Weingarten Map:


Mathematical Concepts:


Disambiguating “plus”:


Basic Properties of Functions:



The Expansion of Time into a Laurent Series of Moments:


Shannon Entropy:

Historic Entropy (= Bayesian Entropy):



The Economic Partial Process:

Promethean Technologies:


KMR projects 2000 – 2016:


International KMR projects:

WGLN (Wallenberg Global Learning Network):


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 ):


Potential Projects:

Norm-Critical Innovation:

Artificial Ethics:



Conzilla – The KMR Concept Browser:


Confolio – The KMR Electronic Porfolio:


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