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ERIC Number: EJ1060419
Record Type: Journal
Publication Date: 2015-May
Pages: 8
Abstractor: As Provided
ISSN: ISSN-0025-5769
Staircases, Towers, and Castles
Kara, Melike; Eames, Cheryl L.; Miller, Amanda L.; Chieu, Annie
Mathematics Teacher, v108 n9 p663-670 May 2015
The very nature of algebra concerns the generalization of patterns (Lee 1996). Patterning activities that are geometric in nature can serve as powerful contexts that engage students in algebraic thinking and visually support them in constructing a variety of generalizations and justifications (e.g., Healy and Hoyles 1999; Lannin 2005). In this article, we discuss geometric patterning tasks that engage students with wide-ranging levels of ability, interest, and motivation. This succession of tasks is likely to elicit recursive reasoning strategies to build mathematical sequences on previous terms' values or explicit formulas to determine any value in the sequence. The tasks are increasingly complex in terms of mathematical patterns, numeric computations, and visualization demands.
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A