NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ781006
Record Type: Journal
Publication Date: 2007-Dec
Pages: 0
Abstractor: ERIC
Reference Count: 2
ISSN: ISSN-0025-5769
The Spirit of Discovery: The Digital Roots of Integers
Milou, Eric; Schiffman, Jay L.
Mathematics Teacher, v101 n5 p379-383 Dec 2007
In many mathematics classes, students are asked to learn via the discovery method, in the hope that the intrinsic beauty of mathematics becomes more accessible and that making conjectures, forming hypotheses, and analyzing patterns will help them compute fluently and solve problems creatively and resourcefully (NCTM 2000). The activity discussed in this article was conducted with a group of preservice and inservice teachers, and the objectives included examining patterns, making conjectures, and using data analysis to construct scatter plots and tables, all in the spirit of discovering mathematics. This activity is based on a concept called the multiplicative digital root of an integer (Sloane 1973). (In this article, the term "integers," unless otherwise qualified, mean positive integers.) An activity of this sort can stimulate meaningful discovery by having participants collect data, harness technology, explore patterns, form conjectures based on the analysis of such patterns, use counting tools, and improve computational proficiency as part of their professional development. (Contains 2 figures and 8 tables.)
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: Guides - Classroom - Teacher; Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A