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From Curve Stitching to Epicycloids
Author(s) -
Robold Alice I.,
Yff Peter
Publication year - 1996
Publication title -
school science and mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.135
H-Index - 2
eISSN - 1949-8594
pISSN - 0036-6803
DOI - 10.1111/j.1949-8594.1996.tb15852.x
Subject(s) - mathematics education , image stitching , curriculum , mathematics curriculum , reform mathematics , computer science , mathematics , connected mathematics , pedagogy , teaching method , psychology , artificial intelligence , technology integration
The exploration of curves that seem to appear in drawings made of straight lines is fascinating and interesting to learners from the very young to the quite mature. Consistent with the Curriculum and Evaluation Standards for School Mathematics, problem solving, reasoning, communication, and connections are integrated into mathematics learning activities that permit students to know mathematics by doing mathematics. Examples in this article show how students may create drawings of sets of lines whose envelopes are parabolas, cardioids, epicycloids, or hypocycloids.