This site allows students to explore the patterns that arise by shading all numbers in Pascal's triangle that are divisible by n for a given n.
Type of Material:
Demonstration, exploration module
Runs in Win98 with Explorer, on Mac with Netscape or Explorer.
Identify Major Learning Goals:
Students learn to recognize and describe patterns and investigate pattern questions that arise when the divisor changes, or when it is composite instead of prime.
Target Student Population:
Juniors and seniors in high school, early college
Prerequisite Knowledge or Skills:
A little familiarity with Pascal's triangle, some knowledge of prime numbers and divisibility.
Nice set of discussions questions to get students to study a phenomenon, describe it, and draw some conclusions. Very attractive graphics. Fractal pictures might interest students and make them curious.
Site is written with one purpose, so explores only one aspect of Pascal's triangle
Potential Effectiveness as a Teaching Tool
Interesting questions and patterns that arise from a very easy to understand/apply process. Even students who do not like math might enjoy this.
The focus is narrow.
Ease of Use for Both Students and Faculty
Very simple idea, well laid out, easy to use, attractive. Links to related sites.
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