Literaturnachweis - Detailanzeige
Autor/in | Steel, Wayne |
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Titel | Links between Algebra and Arithmetic |
Quelle | In: Mathematics Teaching Incorporating Micromath, (2008) 211, S.14-16 (3 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0025-5785 |
Schlagwörter | Mathematics Activities; Arithmetic; Algebra; Mathematics Instruction; Secondary School Mathematics; Secondary School Students; Grade 10; Mathematical Concepts; Equations (Mathematics); Mathematical Logic; Interviews; Concept Formation; Foreign Countries; United Kingdom |
Abstract | General Certificate of Secondary Education (GCSE) mathematics assessment previously included a piece of coursework that required learners to develop a general equation to describe the relationship between two groups of numbers on a number grid. In this author's experience, it became clear that Year 10 students often struggled to form a link between arithmetic patterns and algebraic generalities. Also, his work with sixth-form students highlighted situations where they were uncomfortable with manipulating algebraic expressions without changing the variables to x and y, which suggested that even these quite capable mathematicians saw algebra as a distinct process separate from other areas of mathematics. In this article, the author investigates a class of 20 Year 10 students of average ability on two aspects of their use of algebra--as a description of a general arithmetic connection/progression and as a valid method of proof that a connection exists--using the process known as the "clinical interview", allowing him to gain as much information as possible about each student's understanding of the concepts involved. (Contains 3 figures.) (ERIC). |
Anmerkungen | Association of Teachers of Mathematics. Unit 7 Prime Industrial Park, Shaftesbury Street, Derby, DE23 8YB, UK. Tel: +44-1332-346599; e-mail: admin@atm.org.uk; Web site: http://www.atm.org.uk/mt/index.html |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |