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Classroom Capsule

Chen’s and Kennedy’s Harmonic Series Proof as a Teaching Tool

Pages 255-256 | Received 02 Nov 2022, Accepted 01 Dec 2023, Published online: 22 Dec 2023
 

Summary

As formal demonstrations in mathematics textbooks and classroom presentations provide conclusions of inquiries, students tend not to gain insight into the problem-solving process. Heuristics provides the latter, as it is a language of investigation that helps students choose potentially valuable mental actions in their problem-solving efforts. This would suggest that heuristics be seen as content worth sharing as part of students’ mathematics education. This Classroom Capsule demonstrates the value of heuristics with informing Oresme’s thinking in his developing an indirect proof that the harmonic series diverges.

Acknowledgment

I want to thank the reviewer for their helpful comments.

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