@article {MATHEDUC.05668524,
author = {Steel, Wayne},
title = {Links between algebra and arithmetic.},
year = {2008},
journal = {Mathematics Teaching Incorporating Micromath},
volume = {2008},
number = {211},
issn = {0025-5785},
pages = {14-16},
publisher = {Association of Teachers of Mathematics (ATM), Derby},
abstract = {Summary: 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)},
msc2010 = {H23xx (C33xx)},
identifier = {2010c.00342},
}