Concept Maps Mintzes, Wandersee,

1
Concept Maps(Mintzes, Wandersee, Novak, 1998
Zeilik, 2000)

• Two-dimensional, hierarchical diagrams that show
  the structure of knowledge within a discipline
• Composed of concept labels, each enclosed in a
  box or oval, a series of labeled linking lines
  and general-to-specific organization.

2
Early draft of a concept map for dynamics
includes
3
Early draft of a concept map for thermodynamics
4
Student response Algebra (level 1)
5
Student response Algebra (level 2)
6
Student response Algebra (level 3)
7
Student response Algebra (level 4)
Change of base
HON base
Coordinate systemorigin of coordinates
Algebra
RulesGaussScalar productCramer
Vectors ---- scalars
angles
The plane -- Rn
Area The Room ? volume
Mean value theorem
Integral
Limit
Calculus
RulesAntiderivativeDifferentiationDiff
Equations
Diff Equations ---- homogenous inhomogeneous
Derivative
Functions, graphs, asymptotes, maximum/minimum
8
The third and forth map are more detailed while
the third map has a more clear structure. What is
evident from the fourth map, is that concept maps
easily become too complicated and do not serve as
a progression mirror any longer. Consequently it
is necessary to complement a longitudinal study
using concept maps, with concept questions.