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:

Site Overview

================================================== På svenska (in Swedish):

NSDL: Nya Samarbetsformer i det Digitala Lärandelandskapet:


NSDL på YouTube:

NSDL på YouTube

Framtidens Bibliotek (Modelleringsövningar på KTHB våren 2014):

Framtidens Bibliotek

Matteplåster och Didaktiska Flaskhalsinterventioner:


Bengt Ulin om Musik:

Bengt Ulin om Musik

======================== English below:

Asynchronous Public Service:

Asynchronous Public Service

CHARGE (Cultural Heritage Asynchronous Research Grid Environment):


MATCH (MAthematical Transformations for Cultural Heritage):



Modeling and Mapping:

Modeling and Mapping


Represent –> Deduce –> Interpret

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



Provocative Modeling:

Provocative Modeling

Feeding the Greed:

Feeding the Greed

Large Bureaucracies – How they really work:

Large Bureaucracies

Penetrating the Glass Ceiling – Why Women Can’t Do It:

Penetrating the Glass Ceiling

Permission to Steal – Revealing the Roots of Corporate Scandal:

Permission to Steal

The Corporation – The Pathological Pursuit of Profit and Power:

The Corporation

The Stock Market – How it really works:

The Stock Market

Gender Transformations – Modeling Differences and Similarities between Gender Types:

Gender Tranformations


Systems Modeling:

Systems Modeling

Global Climate Change:

Shifting the Burden:

Shifting the Burden

Shifting the Burden to Science and Technology:

Shifting the Burden to Science and Technology

Theory U:

Theory U

Militarism – Terrorism:


Tragedy of the Commons:

Tragedy of the Commons

Personnel Performance Problems:

Personel Performance Problems


Political Modeling:

Political Modeling

A Reorientation of Democracy – From the present “Opinionocracy” towards a future “Visionocracy”:

From Emotional Opiniocracy to Reasonable Visionocracy

Sveriges Afrikanska Krig:

Sveriges Afrikanska Krig

Swedish Migration Policy:

Swedish Migration Policy

The Small-Mart Revolution – How Local Businesses are Beating the Global Competition:

The Small-Mart Revolution


Learning Modeling:

Modeling Learning

The Learning Organization:

The Learning Organization

The Learn-Err Model:

The Learn-Err Model

The Wheel of Learning:

The Wheel of Learning

The Learner Cockpit:

The Learner Cockpit


Knowledge Negotiations:

Knowledge Negotiations

Disagreement Management:

Disagreement Management




Math Rehab:

The Mathematical Explainatorium

Mathematics is Representation:

Mathematics is Representation

What does it feel like to do Mathematics? :

What does it feel like to do Mathematics?

What is the difference between Mathematics and Science? :

What is the difference between Mathematics and Science?

The historical struggle to get rid of meaning:

The historical struggle to get rid of meaning

The Difficultification Industry:

The Difficultification Industry

Exploring and Explaining:

Exploring and Explaining

Mathematical Concepts:

Mathematical Concepts

MathRehab’s YouTube Channel:


First-Class Mathematics:

First Class Mathematics

Expandable Learning Objects (“Kortslutande” Lärobjekt):

Expandable Learning Objects

Mathematical Hikes:

Mathematical Hikes

Math Makers and Math Fakers:

Math Makers and Math Fakers

Matteplåster och Didaktiska Flaskhalsinterventioner:





Representation and Reconstruction of Numbers:

Representation and Reconstruction

Numbers and their Digits in different Bases:

Numbers and their Digits in different Bases

Shift of Base for Numbers:

Shift of Base

Shift of Basis (in general):

Shift of Basis




Solfege – An Abstract Key System:

Solfege: an Abstract Key System

Instantiations of Solfege in different Keys:

Instantiations of Solfege in Different Keys

Pythagorean Intervals:

Pythagorean Intervals

The Logarithmic Piano:

The Logarithmic Piano

Abstract and Concrete Quint Circles:

Abstract and Concrete Chord Circles

Interactions of Quarts and Quints:

Interactions of Quarts and Quints

Transposition = Shift of Basis in Music:

Transposition = Shift of Base in Music

Chord Ladder:

Chord Ladder

Chord-Set Inclusion-Graph:

Chord-Set Inclusion-Graph

Generating the Circle of Quints from the Mathematical Cogwheels:

Generating the Quint Circle from the Mathematical Cogwheels

Uniformisation of Intervals: Equally Tempered Scales:

Uniformisation of Intervals

Atonal Music:


Bengt Ulin om Musik:

Bengt Ulin om Musik






Oscar Reutersvärd:

Oscar Reutersvärd

M. C. Escher:

M. C. Escher



Conformal Face Mapping:

Conformal Face Mapping


Expandable Stories:

Expandable Stories

Discourse Algebra / Stories:




The Linear War between the planets Vectoria and Vectoria’ :

The Linear War

Einstein for Flatlanders:

Einstein for Flatlanders

Einstein for Linelanders:

Einstein for Linelanders


Expandable Learning Objects:

Expandable Learning Objects



Interactive Learning Objects:

Interactive Learning Objects

Arithmetical Crossfire:

Arithmetical Crossfire

Experiment here:

Arrow Board:

Arrow Board

Experiment here:
(not yet available)

Mathematical Cogwheels:

Mathematical Cogwheels

Experiment here:

Numbers and their Digits in different Bases:

Numbers and their Digits in different Bases

Experiment here:

Primes Factory:

Primes Factory

Experiment here:




Some basic algebraic concepts:

Some basic algebraic concepts


Linear Algebra:

Linear Algebra


Vector spaces

Representation and Reconstruction of Vectors:

Representation and Reconstruction

Shift of Basis for a Vector Space:

Linear Transformations:

Linear Transformations

A Linear Space Probe:

A Linear Space Probe

The Rank-Nullity Theorem of Linear Algebra:

The Rank-Nullity theorem

Shift of Basis for Linear Transformations:

Shift of Basis

Eigenvalues and Eigenvectors of a Linear Transformation from a VectorSpace to itself:

Eigenvalues and Eigenvectors

Diagonalization of Quadratic Forms (= Finding the Symmetry Axes of the corresponding Quadric Surface):

Diagonalization of Quadrics

Singular Values Decomposition:

Singular Values Decomposition

The Least Squares Method:

The Least Squares Method

The Pseudoinverse:

The Pseudoinverse

The Linear War between the planets Vectoria and Vectoria’ :

The Linear War


Geometric Algebra:

Geometric Algebra

Geometric Numbers:

Geometric Numbers in the Line and the Plane

Complex Numbers:

Complex Numbers



Complex Trigonometry:

Complex trigonometry


The Evolution of Geometric Arithmetic:

The Evolution of Geometric Arithmetic


Clifford Algebra:

Clifford Algebra

Combinatorial Clifford Algebra:

Combinatorial Clifford Algebra


Matrix Algebra:

Matrix Algebra

Matrices and Gaussian Elimination:

Matrices and Gaussian Elimination

Solution of m equations in n unknowns:

Solution of m equations in n unknowns


Business Algebra:

Business Algebra

The Universal Production Process:

The Universal Production Process

Injecting Learning Loops:

Injecting Learning Loops

User Modeling:

User Modeling

Customer Modeling:

Customer Modeling

Experience Transfer:

Experience Transfer

Product Readiness:

Product Readiness

The EE( S+O+C )( M+O+P ) Model:

The EE(S+O+C)(M+O+P) model

The Ericsson AXE-10 Delay:

Corporate Training Process:

Corporate Training

Innovation Hubs:

Innovation Hubs

The TELL ME Innovation Cycle:

The TELL ME Innovation Cycle

Ethical E-Commerce:

Ethical E-Commerce


Knowledge Algebra:

Knowledge Algebra

The Universal Knowledge Evolution Process:

The Universal Knowledge Evolution Process

Knowlecular Informatics:

Knowlecular Informatics

Knowledge Tentacles:

Knowledge Tentacles

Activities and Participators:

Activities and Participators


Social Algebra:

Social Algebra

Socially Responsible Algebra:

Socially Responsible Algebra





Calculus of One Real Variable:

Calculus of One Real Variable

Basic Properties of Functions:

Basic properties of functions

Differentiation and Affine Approximation in One Real Variable:

Differentiation and Affine Approximation

The Chain Rule (in One Real Variable):

The Chain Rule (in One Real Variable)

The Fundamental Theorem of Calculus (in One Real Variable):

The Fundamental Theorem of Calculus

Taylor Expansion (in One Variable):

Taylor Expansion in One Real Variable

Fourier Series (in One Variable):

Fourier Series

Integration (in One Variable):

Riemann Integration in One Real Variable


Calculus of Several Real Variables:

Calculus of Several Real Variables

Differentiation and Affine Approximation (in Several Real Variables):

Differentiation and Affine Approximation

The Chain Rule (in Several Real Variables):


Directional Derivatives:

Partial and 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):

Taylor Expansion in Several Real Variables

Integration (of “flying-carpet-like surfaces” of Several Real Variables):

Riemann Integration in Several Real Variables

Substitution of Integration Variables in Integrals (of Several Real Variables):

Substitution in integrals

Exact Differential Forms:


Calculus of One Complex Variable:

Calculus of One Complex Variable

Conformal Mapping:

Conformal Mapping



Steiner Circles (and the Circle of Appolonius):

Steiner Circles

Möbius Transformations:

Möbius Transformations

Stereographic Projection:

Stereographic Projection

The Mercator Projection:

The Mercator projection


Social Calculus:

Social Calculus

The TELL ME Innovation Cycle:

The TELL ME Innovation Cycle


Category Theory:

Category Theory

A Categorical Manifesto:

A Categorical Manifesto

Categorical Informatics:

Categorical Informatics

Functor Categories:

Functor categories

Limits and Colimits:

Limits and Colimits

Category of Bundles over a Base Space:

Category of Bundles (over a Base Space)

Naturally Related Functors and Processes:

Naturally Related Functors and Processes

Adjoint Functors:

Adjoint Functors

Institution Theory:

Institution Theory

The Human Category:

The Human Category

Algebraic Thought:

Algebraic Thought





Metric Geometry:

Metric Geometry


Affine Geometry:

Affine Geometry


Projective Geometry:

Projective Geometry

Projective Metrics:

Projective Metrics

The Euclidean Degeneration:

The Euclidean Degeneration


Euclidean Geometry:

Euclidean Geometry

Geometric Optics:

Geometrical Optics


Triangles (and the nine-point Circle):

Triangles, Quadrilaterals and Circles


Plane Curves:

Plane Curves

Conics = Conic Sections:








Cycloids and Trochoids:

Cycloids and Trochoids

Evolutes and Involutes:

Evolutes and Involutes

Parallel Curves:

Parallel Curves

Inverse Curves:

Inverse Curves

Pedal Curves:

Pedal Curves






Quadric Surfaces:

Quadric Surfaces

Confocal Quadrics:

Confocal Quadrics

Canal Surfaces:

Canal Surfaces

Dupin Cyclides:

Dupin Cyclides

Developable Surfaces:

Developable Surfaces

Generalized Cylinders:

Generalized Cylinders

Focal Surfaces:

Focal Surfaces

Isometric Deformations:

Isometric Deformations


Hyperbolic Geometry:

Hyperbolic Geometry

The Beltrami-Klein Model and the Poincaré Model:

The Beltrami-Klein model


Elliptic Geometry:

Elliptic Geometry


Differential Geometry:

Differential Geometry

Geodesic Curves:

Geodesic Curves

The Weingarten Map:

The Weingarten Map


Mathematical Concepts:

Mathematical Concepts



Disambiguating “plus”:

Disambiguating plus



Basic Properties of Functions:

Basic properties of functions





The Expansion of Time into a Laurent Series of Moments:

Laurent Expansion of Time



Shannon Entropy:

Shannon Entropy

Historic Entropy (= Bayesian Entropy):

Historic Entropy




The Economic Partial Process:

The Economic Partial Process

Promethean Technologies:

Promethean Technologies


KMR projects 2000 – 2016:


International KMR projects:

WGLN (Wallenberg Global Learning Network):

Wallenberg Global Learning Network


European KMR Projects:

European 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:

Potential Projects

Norm-Critical Innovation:

Norm-Critical Innovation

Artificial Ethics:

Artificial Ethics




Conzilla – The KMR Concept Browser:


Confolio – The KMR Electronic Porfolio:


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