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ERIC Number: EJ1152485
Record Type: Journal
Publication Date: 2017-May
Pages: 3
Abstractor: ERIC
ISSN: ISSN-1072-0839
Kaleidoscopes and Mathematics: An Elegant Connection
Miller, Catherine M.
Mathematics Teaching in the Middle School, v22 n9 p559-561 May 2017
This article describes a project in which students investigate the question: What dihedral angles between pairs of mirrors in a kaleidoscope result in perfectly symmetric images? The unit culminates with students building their own kaleidoscopes. This content aligns with parts of the Common Core's standards for fifth grade (classify two-dimensional figures), sixth grade (solve real-world measurement problems that arise in building the kaleidoscopes), seventh grade (construct triangles with mirrors), and eighth grade (describe rotations and reflections) (CCSSI 2010). Solutions and activity sheets for Mathematical Explorations are online at
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Grade 5
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A