Not All Opportunities to Prove are the Same

Not All Opportunities to Prove are the Same

Confusion can arise from the subtle difference between proving a general and a particular statement, especially when general statements are presented by textbooks in ways that make them appear particular in nature. The authors discuss the implications for teaching proof in light of the current oppor...

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Veröffentlicht in:The Mathematics teacher 2013-09, Vol.107 (2), p.138-142
Hauptverfasser: Gilbertson, Nicholas J, Otten, Samuel, Males, Lorraine M, Clark, D. Lee
Format: Artikel
Sprache:eng
Schlagworte:
Connecting Research to teaching
Deductive reasoning
Geometry
High School Students
High schools
Logical Thinking
Mathematical Logic
Mathematical problems
Mathematics education
Mathematics Instruction
Mathematics teachers
Proof theory
Reasoning
Secondary school curricula
Secondary School Mathematics
Secondary school students
Textbooks
Triangles
Validity
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Beschreibung
Zusammenfassung:Confusion can arise from the subtle difference between proving a general and a particular statement, especially when general statements are presented by textbooks in ways that make them appear particular in nature. The authors discuss the implications for teaching proof in light of the current opportunities in high school geometry textbooks.
ISSN:0025-5769
2330-0582
DOI:10.5951/mathteacher.107.2.0138