This chapter examines the crucial interplay between proof-reading strategies and the comprehension of mathematical proofs, to foster independent learning in proof-oriented mathematics courses. By synthesizing insights from current proof reading and comprehension research, the chapter underscores the active nature of proof reading and addresses the growing concern regarding undergraduates’ difficulties in proof comprehension. The discussion explores various factors contributing to inadequate proof-reading strategies, including the unique characteristics of proofs as a specialized writing genre. Through a critical review of existing literature and the author’s original study involving mathematicians, the chapter identifies effective strategies that enhance different aspects of proof comprehension and proposes methods for integrating these strategies into mathematics education. The chapter concludes by proposing specific research questions for future studies, highlighting the necessity for ongoing research in this field.

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Investigating Strategies Undergraduates and Mathematicians Use for Enriched Proof-Reading Experience

  • Eyob Demeke

摘要

This chapter examines the crucial interplay between proof-reading strategies and the comprehension of mathematical proofs, to foster independent learning in proof-oriented mathematics courses. By synthesizing insights from current proof reading and comprehension research, the chapter underscores the active nature of proof reading and addresses the growing concern regarding undergraduates’ difficulties in proof comprehension. The discussion explores various factors contributing to inadequate proof-reading strategies, including the unique characteristics of proofs as a specialized writing genre. Through a critical review of existing literature and the author’s original study involving mathematicians, the chapter identifies effective strategies that enhance different aspects of proof comprehension and proposes methods for integrating these strategies into mathematics education. The chapter concludes by proposing specific research questions for future studies, highlighting the necessity for ongoing research in this field.