A Primer in Elementary Mathematics

A Primer in Elementary Mathematics : From High School to College in Six Months

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According to recent ACT scores, http: //www.insidehighered.com/news/2013/08/21/act-scores-fall-lowest-level-five-years (accessed on Aug. 24, 2013) about three-quarters of U.S. high-school graduates are not ready for college-level mathematics courses. No wonder, remedial mathematics classes are so widespread nationwide: far too many incoming students are not prepared for college-level courses. One reason for this unpreparedness is a lack of substantive knowledge in mathematics. Another, perhaps even a more important reason, is that students lack the necessary skills and habits required for successful study of mathematics. Based on the author's 50+ year-experience of teaching mathematics at all levels, from elementary school to community college, undergraduate, and graduate levels, the goal of this book is to teach the readers the absolutely minimal mathematical content required to successfully take college-level mathematics classes. This is a textbook for college courses in remedial mathematics, which are taught, under different names, at the many of American colleges. However, it is not another book in Developmental Mathematics. The latter mostly neglect geometry, trigonometry, and never pay attention to elementary functions. However, these topics are crucial for a student's success at college and, therefore, these topics are treated here as fully as possible within the power of the book's intended readership and the book volume. The book is also useful for high school students preparing for a college. This is also a textbook for students, who studied at high school, maybe several years back, and now have to quickly recover and/or study anew some rudimentary elementary mathematics, so that they can pass the college level classes necessary for their major. As illustrations of basic arithmetic and elementary algebraic concepts, certain notions of the elementary statistics are introduced. This is useful for the students who do not need a calculus, but almost sure will have to take a class in statistics. The author's experience shows that the students' troubles in calculus begin not in high school, but in elementary school and even at the kindergarten level. Hence the book starts with a very detailed explanation of the arithmetic of whole numbers. The author's teaching creed is 'explain by examples', and every new notion is introduced and illustrated by several elementary examples. Moreover, the text also provides certain helpful concepts, which are mostly neglected in high-school teaching, such as how to study mathematics, what is mathematical parlance, how to read a mathematical textbook, etc. The book tries not only to provide certain results and skills, but to engage the reader into thinking about the subject. The author tried to make the book user-friendly. The text contains about 500 exercises for the readers to practice, and gives answers to all of the exercises. In addition to the standard index of key terms, the book contains the index "How to" of presented algorithms, such as "How to add fractions," "How to solve quadratic equations," etc. The target audience is undergraduate freshmen, enrolled in remedial mathematics courses. At my Bronx Community College/CUNY, which is a typical school, every year about 85% of incoming students must take at least one remedial mathematics class. And every year the Department struggles to find good books for our three remedial courses. This book covers any possible remedial mathematics class. It may also be useful for high-school students, preparing for college. Moreover, based on my experience, the book can also be useful to many elementary school teachers. Based on my significant experience with our foreign students, I'm sure that this book, which shows what the future students of American colleges and universities must know, has a huge market in Asia and Africa.show more

Product details

  • Paperback | 388 pages
  • 215.9 x 279.4 x 22.35mm | 1,102.22g
  • Createspace
  • United States
  • English
  • black & white illustrations
  • 1507700490
  • 9781507700495