This site provides an interesting collection of materials concerning the occurrences of the Fibonacci numbers in a variety of puzzles. The material is enjoyable and wide-ranging and makes for interesting reading and exploration. This is the second Fibonacci puzzle page; the first is entitled Easier Fibonacci Puzzles that is reviewed separately. Both pages are part of a larger site entitled Fibonacci Numbers and the Golden Section, also reviewed separately.
Type of Material:
Classroom demonstration; student exploration. Good collection of materials for student projects.
Identify Major Learning Goals:
Demonstrate the surprising occurrences of the Fibonacci numbers in seemingly unrelated settings and invite students to explore the underlying reasons for these occurrences. Classroom enrichment for instructors and students.
Target Student Population:
Advanced high school and college math students who want to investigate the surprising appearances of the Fibonacci numbers.
Prerequisite Knowledge or Skills:
This site contains approximately twenty puzzles, each of which has Fibonacci numbers as answers. The puzzles are related to various number-theoretic topics including combinatorics and partitions but can be considered apart from those contexts. Links are provided to related materials.
Potential Effectiveness as a Teaching Tool
The challenge to the reader is to explore and discover the underlying reasons for the occurrences of the Fibonacci numbers as answers to the various puzzles. While the answers to the puzzles are relatively simple to ascertain, the underlying reasons present more of a challenge discover. Questions to the reader are presented and suggestions made for further exploration.
Ease of Use for Both Students and Faculty
This site is primarily text and graphics. No technical difficulties were encountered in the use of this site.
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