(Download) "Algebra Students' Difficulty with Fractions: An Error Analysis." by Australian Mathematics Teacher * eBook PDF Kindle ePub Free
eBook details
- Title: Algebra Students' Difficulty with Fractions: An Error Analysis.
- Author : Australian Mathematics Teacher
- Release Date : January 22, 2006
- Genre: Education,Books,Professional & Technical,
- Pages : * pages
- Size : 219 KB
Description
The National Assessment of Educational Progress (NAEP), a United States report, raises concerns regarding trends in student achievement over the past twenty years (NCES, 2000). The results indicate that students of age seventeen recurrently demonstrated a lack of proficiency with fraction concepts. An analysis of the 1990 NAEP mathematics achievement by Mullis, Dossey, Owen, and Phillips (1991) found that only 46 percent of all high school seniors demonstrated success with a grasp of decimals, percentages, fractions, and simple algebra. If algebra is for everyone, then a bridge must be built to span the gap between arithmetic and algebra. The building materials are conceptual understanding and the ability to perform arithmetic manipulation on whole numbers, decimal fractions, and common fractions. Augustus De Morgan, writing in Study and Difficulty of Mathematics (1910) acknowledges that the learning of fractions is expected to "present extraordinary difficulties." This was true in the nineteenth century and it is still true today. Consider the following (p. 41):
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