Power Patterns: Extending Number Sense through Last Digit Investigations

Autor/in	West, John
Titel	Power Patterns: Extending Number Sense through Last Digit Investigations
Quelle	In: Australian Primary Mathematics Classroom, 21 (2016) 1, S.29-33 (5 Seiten) PDF als Volltext (1); PDF als Volltext kostenfreie Datei (2) Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1326-0286
Schlagwörter	Mathematics Instruction; Foreign Countries; Knowledge Level; Teaching Methods; Mathematical Concepts; Problem Solving; Competition; Grade 7; Scaffolding (Teaching Technique); Technology Uses in Education; Educational Technology; Concept Formation; Elementary School Mathematics; Australia + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Ausland; Wissensbasis; Teaching method; Lehrmethode; Unterrichtsmethode; Problemlösen; Wettkampf; School year 07; 7. Schuljahr; Schuljahr 07; Technology enhanced learning; Technology aided learning; Technologieunterstütztes Lernen; Unterrichtsmedien; Concept learning; Begriffsbildung; Elementare Mathematik; Schulmathematik; Australien
Abstract	Problems sourced from national and international competitions such as the Australian Mathematics Competition are often used effectively as enrichment and/or extension activities for high achieving students. While this has meant that they are sometimes deemed too esoteric or trivial for use in the regular classroom, this paper takes the view that the study of patterns and relationships is at the heart of mathematics and that such problems provide an excellent opportunity for students to develop a deeper understanding and appreciation of mathematical reasoning. Thus problems that may be dismissed as mere mathematical curiosities may in fact represent a valuable resource for the time-poor teacher. Posamentier and Krulik (2012) suggest a range of strategies for motivating students in mathematics. These include: indicating a void in students' knowledge, discovering a pattern, presenting a challenge, enticing the class with a "gee-whiz" mathematical result and getting students involved in justifying mathematical curiosities. The investigation described here incorporates several of these strategies as students discover the cyclical pattern that exists in the last digits of the powers of various digits. The investigation is intended as a possible activity for upper primary students. (ERIC).
Anmerkungen	Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01