ERIC Number: EJ1044619
Record Type: Journal
Publication Date: 2014-Feb
Reference Count: 13
Generalizing: The Core of Algebraic Thinking
Kinach, Barbara M.
Mathematics Teacher, v107 n6 p432-439 Feb 2014
Generalizing--along with conjecturing, representing, justifying, and refuting--are forms of mathematical reasoning important in all branches of mathematics (Lannin, Ellis, and Elliott 2011). Increasingly, however, generalizing is recognized as the essence of thinking in algebra (Mason, Graham, and Johnston-Wilder 2010; Kaput, Carraher, and Blanton 2008). This article makes a case for generalizing as an overall mindset for introductory algebra by illustrating how teachers can use generalization problems to develop algebraic reasoning and meaningful symbol use.
Descriptors: Mathematics Instruction, Algebra, Generalization, Teaching Methods, Problem Solving, Mathematical Logic, Symbols (Mathematics), Thinking Skills, Mathematical Concepts, Secondary School Mathematics, Methods Courses, Preservice Teacher Education
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: Secondary Education; Higher Education; Postsecondary Education
Authoring Institution: N/A