Pythagorean Triples from Harmonic Sequences

Pythagorean Triples from Harmonic Sequences

Shows how all primitive Pythagorean triples can be generated from harmonic sequences. Use inductive and deductive reasoning to explore how Pythagorean triples are connected with another area of mathematics. (KHR)

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Bibliographische Detailangaben
Veröffentlicht in:The Mathematics teacher 2001-03, Vol.94 (3), p.218-222
Hauptverfasser: DiDomenico, Angelo S., Tanner, Randy J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Arithmetic
Deduction
Discovery Learning
Fibonacci numbers
Geometric Concepts
High School Students
Induction
Integers
Interdisciplinary Approach
Mathematical sequences
Mathematical sets
Mathematics education
Mathematics Instruction
Mathematics Teachers
Numbers
Patterns in Mathematics
Pythagoreanism
Secondary Education
Secondary school students
Teaching Methods
Triangles
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Beschreibung
Zusammenfassung:Shows how all primitive Pythagorean triples can be generated from harmonic sequences. Use inductive and deductive reasoning to explore how Pythagorean triples are connected with another area of mathematics. (KHR)
ISSN:0025-5769
2330-0582
DOI:10.5951/MT.94.3.0218