Mathematically Rich, Investigative Tasks for Teaching Algebra

Autor/in	Day, Lorraine
Titel	Mathematically Rich, Investigative Tasks for Teaching Algebra
Quelle	In: Mathematics Teacher, 108 (2015) 7, S.516-518 (3 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Algebra; Mathematics Activities; Mathematics Instruction; Teaching Methods; Investigations; Task Analysis; Mathematical Concepts; Problem Solving; Educational Practices; Educational Strategies + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Teaching method; Lehrmethode; Unterrichtsmethode; Untersuchung; Aufgabenanalyse; Problemlösen; Bildungspraxis; Lehrstrategie
Abstract	A challenge for teachers is to incorporate the Standards for Mathematical Practice (CCSSI 2010) throughout their teaching of mathematics so that the Common Core Standards do not revert back to a purely content-driven curriculum. One way to achieve this is through the use of mathematically rich, investigative tasks. These tasks encourage students to work, and see others working, as mathematical investigators within meaningful contexts (Tabach and Friedlander 2008). They address student diversity by being accessible to all, catering to a variety of learning styles and allowing for exploration while providing challenges along the way. They provide a forum to develop thinking, reasoning, and communicating skills while developing genuine understanding rather than superficial knowledge. This article describes two rich tasks--extending the pattern of a mountain range and counting the painted faces of a cube--which were designed to help students manipulate symbolism and rules in the mysterious world of algebra. By placing the learners and the mathematics at the center of the action, teachers will often find that students who struggle with routine mathematical exercises shine when investigating nonroutine problems. The investigative style allows students the freedom to construct the knowledge in a manner that suits them, they see a purpose in having the knowledge, and the mathematics becomes more accessible and meaningful. The need to work cooperatively and communicate mathematically assists in clarifying ideas, and meaning making occurs. Mathematics is no longer viewed as a set of tricks to be learned and regurgitated. It is a subject with purpose and meaning. (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	2020/1/01