ERIC Number: EJ1018096
Record Type: Journal
Publication Date: 2013-May
Reference Count: 4
Counter Examples as Starting Points for Reasoning and Sense Making
Yopp, David A.
Mathematics Teacher, v106 n9 p674-679 May 2013
This article describes a classroom activity with college sophomores in a methods-of-proof course in which students reasoned about absolute value inequalities. The course was designed to meet the needs of both mathematics majors and secondary school mathematics teaching majors early in their college studies. Asked to "fix" a false conjecture, students combine their reasoning and observations about absolute value inequalities, signed numbers, and distance to write true mathematical statements.
Descriptors: Mathematics Instruction, College Students, College Mathematics, Mathematical Concepts, Mathematical Logic, Validity, Secondary School Mathematics, Majors (Students), Teaching Methods
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: firstname.lastname@example.org; Web site: http://www.nctm.org/publications/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Higher Education; Postsecondary Education
Authoring Institution: N/A