2004 · 13 citations · 3 references
EducationMathematics EducationTeachingMathematics InstructionPhilosophy Of MathematicsSecondary Mathematics EducationInductive ReasoningMathematical InductionMathematical ReasoningMathematics PedagogyProof TheoryTheorem ProvingConceptual Understanding Of InductionInduction In MathematicsInduction PedagogyInductive Proof TechniquesInductive ProofsMathematical Induction ProofsModeling In Mathematics EducationProof By Induction
Abstract: Proof by mathematical induction is known to be conceptually difficult for high school students. This paper presents results from interviews with six experienced high school teachers, concerning the use of models in teaching mathematical induction. Along with creative and adequate use of models, we found explanations, models and examples that distort the underlying mathematical ideas and show teachers ’ conceptual difficulties.
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