NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ1150818
Record Type: Journal
Publication Date: 2017-May
Pages: 6
Abstractor: ERIC
ISSN: ISSN-0025-5769
A New Take on an Old Square
Richardson, Janessa; Bachman, Rachel M.
Mathematics Teacher, v110 n9 p668-673 May 2017
This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to solve quadratic equations in a way different from what she had done before through symbolic study alone. Discovery led to excitement. She was no longer just a consumer of mathematics; she was a participant in making mathematics convey meaning and understanding to others.
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: Higher Education; Postsecondary Education; Secondary Education; Middle Schools; Junior High Schools; High Schools
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A