NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ936584
Record Type: Journal
Publication Date: 2011-Aug
Pages: 8
Abstractor: ERIC
Reference Count: 9
ISSN: ISSN-0025-5769
Delving into Limits of Sequences
Cory, Beth; Smith, Ken W.
Mathematics Teacher, v105 n1 p48-55 Aug 2011
Limits are foundational to the central concepts of calculus. However, the authors' experiences with students and educational research abound with examples of students' misconceptions about limits and infinity. The authors wanted calculus students to understand, appreciate, and enjoy their first introduction to advanced mathematical thought. Thus, rather than overwhelm them with the formal definition at the outset, the authors guided students to an understanding of limits of sequences in a way that enabled them to value the formal limit concept and create the formal symbolic definition on their own. This article describes the process the authors used to facilitate students' construction of the limit concept, both informally and formally, as well as their resulting success. (Contains 12 figures.)
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: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A