From Arithmetic Sequences to Linear Equations

Autor/inn/en	Matsuura, Ryota; Harless, Patrick
Titel	From Arithmetic Sequences to Linear Equations
Quelle	In: Mathematics Teaching in the Middle School, 17 (2012) 7, S.436-444 (9 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1072-0839
Schlagwörter	Preservice Teachers; Equations (Mathematics); Arithmetic; Algebra; Mathematics Instruction; Thinking Skills; Grade 8; Middle Schools; Secondary School Students; Mathematics Teachers; Middle School Students + Suchen Sie Ihr Suchwort? Equations; Mathematics; Gleichungslehre; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Mathematics lessons; Mathematikunterricht; Denkfähigkeit; School year 08; 8. Schuljahr; Schuljahr 08; Middle school; Mittelschule; Mittelstufenschule; Sekundarschüler; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Middle schools; Student; Students; Schüler; Schülerin
Abstract	The first part of the article focuses on deriving the essential properties of arithmetic sequences by appealing to students' sense making and reasoning. The second part describes how to guide students to translate their knowledge of arithmetic sequences into an understanding of linear equations. Ryota Matsuura originally wrote these lessons for his mathematics course for preservice elementary teachers. Patrick Harless used the lessons and the described approach with his eighth-grade algebra students and experienced success. The anecdotes drawn from Harless's experience provide insight into how teachers can implement these ideas and how his students made sense of arithmetic sequences and linear equations. (Contains 11 figures.) (ERIC).
Anmerkungen	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: orders@nctm.org; Web site: http://www.nctm.org/publications/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10