Algebra Readiness for Students with Learning Difficulties in Grades 4-8: Support through the Study of Number

Autor/inn/en	Ketterlin-Geller, Leanne R.; Chard, David J.
Titel	Algebra Readiness for Students with Learning Difficulties in Grades 4-8: Support through the Study of Number
Quelle	In: Australian Journal of Learning Difficulties, 16 (2011) 1, S.65-78 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1940-4158
Schlagwörter	Problem Solving; Number Systems; Numeracy; Grade 4; Algebra; Mathematics Instruction; High Schools; Elementary Secondary Education; Grade 5; Grade 6; Grade 7; Grade 8; Thinking Skills; Computation; Learning Problems + Suchen Sie Ihr Suchwort? Problemlösen; Number system; Zahlensystem; Rechenkompetenz; School year 04; 4. Schuljahr; Schuljahr 04; Mathematics lessons; Mathematikunterricht; High school; Oberschule; School year 05; 5. Schuljahr; Schuljahr 05; School year 06; 6. Schuljahr; Schuljahr 06; School year 07; 7. Schuljahr; Schuljahr 07; School year 08; 8. Schuljahr; Schuljahr 08; Denkfähigkeit; Lernproblem
Abstract	Developing proficiency in algebra is the focus of instruction in high school mathematics courses and is a minimum expectation for high school completion for all students including those with learning difficulties. However, the foundation for success is laid in grades 4-8 (aged 9-14). In this paper, we assert that students' development of algebraic reasoning skills and knowledge is influenced by their understanding of numeracy. We propose that students in grades 4-8 need targeted instruction on three interconnected numeracy concepts. First, we propose that students need a strong conceptual foundation of number and number systems to facilitate computation, estimation and problem solving across number systems. Second, we identify students' understanding of basic number properties as foundational to lawful application of operations. Finally, we note that procedural proficiency, including computational fluency and conceptual understanding, provides a foundation for generalised application of algorithms for solving arithmetic and algebraic problems. Combined, these skills and knowledge enable students to employ algebraic reasoning by generalising their knowledge for solving abstract problems. (Contains 2 tables and 1 figure.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10