Why do only half the students in a typical algebra class earn passing grades? "Mathematical Misconceptions of College-Age Algebra Students" has some of the answers. Author Anthony Barcellos is an experienced math professor at American River College in Sacramento who devoted his dissertation research for a Ph.D. from UC Davis to the question of why algebra students routinely make certain kinds of recurrent mistakes. He catalogs four particularly persistent errors and explores the students' reasoning behind them. The book is replete with real-life examples and comments in the students' own words. Understanding the basis for the mistakes is the first giant step in helping the students recast their process and achieve new levels of success.
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