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Curriculum development in university mathematics: where mathematicians and education collide

Instantáneas de la actualidad matemática desde Oberwolfach

Curriculum development in university mathematics: where mathematicians and education collide

This snapshot looks at educational aspects of the design of curricula in mathematics. In particular, we examine choices textbook authors have made when introducing the concept of the completness of the real numbers. Can significant choices really be made? Do these choices have an effect on how people learn, and, if so, can we understand what they are?

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Área matemática

Análisis

Relaciones con otros campos

Reflexiones sobre la matemática

Autor(es)

Christopher Sangwin

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2015-011-EN

Descargar PDF

2015-011-sangwin.pdf

PDF

snapshots: overview

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      The periodic tables of algebraic geometry
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      Closed geodesics on surfaces
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      Characterizations of intrinsic volumes on convex bodies and convex functions
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      Representations and degenerations
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      Lagrangian mean curvature flow
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      Vertex-to-Self Trajectories on the Platonic Solids
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      The Interaction of Curvature and Topology
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      The Mathematics of Fluids and Solids
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      Formation Control and Rigidity Theory
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      Nonlinear Acoustics
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      Counting self-avoiding walks on the hexagonal lattice
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      Algebra, matrices, and computers
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      Positive Scalar Curvature and Applications
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      Diophantine equations and why they are hard
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      Snake graphs, perfect matchings and continued fractions
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      Estimating the volume of a convex body
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      Mixed volumes and mixed integrals
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      Geometry behind one of the Painlevé III differential equations
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      Tropical geometry
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      Topological Complexity, Robotics and Social Choice
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      Prony’s method: an old trick for new problems
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      Computing with symmetries
      Piotr Sułkowski
      Topological recursion
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      Solving quadratic equations in many variables
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      Mathematics plays a key role in scientific computing
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      Spaces of Riemannian metrics
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      Computational Optimal Transport
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      A few shades of interpolation
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      Molecular quantum dynamics
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      Closed geodesics on surfaces and Riemannian manifolds
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      Mathematische Modellierung von Krebswachstum
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      Aperiodic Order and Spectral Properties
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      News on quadratic polynomials
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      Towards a Mathematical Theory of Turbulence in Fluids
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      Profinite groups
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      The adaptive finite element method
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      Footballs and donuts in four dimensions
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      The Willmore Conjecture
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      Polyhedra and commensurability
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      Wie steuert man einen Kran?
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      Symmetry and characters of finite groups
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      On the containment problem
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      Random sampling of domino and lozenge tilings
      Magnus Egerstedt
      Swarming robots
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      From computer algorithms to quantum field theory: an introduction to operads
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      Domino tilings of the Aztec Diamond
      Sebastian Funk
      The mystery of sleeping sickness – why does it keep waking up?
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      Quantum diffusion
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      Modelling the spread of brain tumours
      J. Marron
      Visual Analysis of Spanish Male Mortality
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      Curriculum development in university mathematics: where mathematicians and education collide
      Jürg Kramer, Anna-Maria Pippich
      Special values of zeta functions and areas of triangles
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      Chaos and chaotic fluid mixing
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      Operator theory and the singular value decomposition
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      The Kadison-Singer problem
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      Matrixfaktorisierungen
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      Dirichlet Series

      Área matemática

      Álgebra y Teoría de números
      Análisis
      Didáctica y Educación
      Matemática discreta y Fundamentos
      Geometría y Topología
      Cálculo numérico y científico
      Teoría de la probabilidad y Estadística

      Relaciones con otros campos

      Química y Ciencias de la Tierra
      Informática
      Ingeniería y Tecnología
      Finanzas
      Humanidades y Ciencias sociales
      Ciencias de la vida
      Física
      Reflexiones sobre la matemática

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