Download Twenty Key Ideas in Beginning Calculus (B & W), by Dan Umbarger
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Twenty Key Ideas in Beginning Calculus (B & W), by Dan Umbarger
Download Twenty Key Ideas in Beginning Calculus (B & W), by Dan Umbarger
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Twenty Key Ideas in Beginning Calculus is a b & w 174 page book written by a high school mathematics teacher who learned how to sequence and present ideas over a 30-year career of teaching grade school mathematics. It is intended to serve as a bridge for beginning calculus students to study independently in preparation for a traditional calculus curriculum or as supplemental material for students who are currently in a calculus class. It is highly visual with 40 supportive images, 100+ cartoons and other illustrations, 110 graphs, and 40+ data tables spread throughout its 174 pages. Comprehension and understanding of ideas is emphasized over symbol manipulation although the latter is covered. The main text, Chapters 1-14, teaches "intuitive calculus," while the appendices contain "traditional calculus" proofs allowing the reader to customize their learning experience according to their ability and interest for rigor. When appropriate, the reader is referred to correlative interactive applets that can be used to supplement the text.
- Sales Rank: #3028087 in Books
- Brand: Brand: Math Logarithms
- Published on: 2012-01-16
- Original language: English
- Number of items: 1
- Dimensions: 11.02" h x .38" w x 8.50" l, .93 pounds
- Binding: Paperback
- 176 pages
- Used Book in Good Condition
From the Author
Multiple copies (15+) can be purchased directly from the author for $12 each which includes both shipping and handling. Please see my website for information about that and also about my other book "Explaining Logarithms."
About the Author
Dr. John Morris is president of the Institute for Creation Research. He received his Doctorate in Geological Engineering at the University of Oklahoma. He held the position of Professor of Geology before being appointed President in 1996. He currently travels and speaks on the topic of creation science.
Most helpful customer reviews
2 of 2 people found the following review helpful.
An Effective Way to Learn Calculus
By TButts, UTDallas
Twenty Key Ideas in Beginning Calculus is a labor of love written by a passionate teacher/author with a sincere interest in wanting his students to achieve real understanding of a difficult subject. The book is intended to serve as a bridge for beginning calculus students to study independently in preparation for a traditional calculus curriculum or as supplemental material for students who are currently in a calculus class. It aims to prepare a student to appreciate concepts involving the idea of a limit - a sophisticated concept sometimes called the "third plateau of mathematics" following "number" and "variable".
Chapters 1-14, teach "intuitive calculus" while the appendices contain "traditional calculus" proofs allowing the reader to customize their learning experience according to their ability and interest for rigor. There is a deserved emphasis on reviewing, reteaching, and rephrasing throughout the book.
The author repeatedly uses three proven techniques of effective teachers:
1) go from the "specific" to the "general" - abstract general principles from consideration of several well-chosen (specific) examples,
2) use visual representations - in this case over 100 detailed graphs and several interactive applets that demonstrate various concepts,
3) connect new ideas to previously learned knowledge or historical precedent to help the student see the "big picture".
While some teachers might have some different favorite examples to illustrate a given idea, all teachers and students will benefit from studying calculus using this approach.
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