Proefschrift1. Introduction2. Background and research questions3. Methodology and subjects4. A historical phenomenology5. Exploratory interviews and a didactical phenomenology6. Designing a hypothetical learning trajectory for grade 77. Testing the hypothetical learning trajectory in grade 78. Diagrammatic reasoning with the 'bump'9. Diagrammatic reasoning about growing samples10. Conclusions and discussion
1. Fundamental Principles of Counting2. Fundamentals of Logic3. Set Theory4. Properties of the Integers: Mathematical Induction5. Relations and Functions6. Languages: Finite State Machines7. Relations: The Second Time Around8. The Principle of Inclusion and Exclusion9. Generating Functions10. Recurrence Relations11. An Introduction to Graph Theory12. Trees13. Optimization and Matching14. Rings and Modular Arithmetic15. Boolean Algebra and Switching Functions16. Groups Coding Theory and Polya's M...
I. Integeres PolynomialsII. ContinuityIII. Rational FunctionsIV. Funktionen einer komplexen Veranderlichen SpeziellerV. Die Lage der Null stellenVI. PolynomeVII. Determinanten VIII. ZahlentheorieIX. Geometrie
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