Introduction to Mathematical Thinking,New
Introduction to Mathematical Thinking,New
Introduction to Mathematical Thinking,New
Introduction to Mathematical Thinking,New

Introduction to Mathematical Thinking,New

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In the twentyfirst century, everyone can benefit from being able to think mathematically. This is not the same as doing math. The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned.Mathematicians, scientists, and engineers need to do math, and it takes many years of collegelevel education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book.The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to collegelevel mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K12 focus on mastering procedures to the mathematical thinking characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a transition course. This book could serve as a textbook or a supplementary source for such a course.Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that collegelevel mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable.Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as the Math Guy on Weekend Edition with Scott Simon. He writes a popular monthly blog Devlins Angle for the Mathematical Association of America, another blog under the name profkeithdevlin, and also blogs on various topics for the Huffington Post.

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Frequently Asked Questions

  • Q: What is the main focus of 'Introduction to Mathematical Thinking'? A: The book emphasizes developing mathematical thinking skills, which involve logical, analytical, and quantitative reasoning, rather than just performing mathematical procedures.
  • Q: Who is the author of the book? A: The author is Dr. Keith Devlin, a professional mathematician at Stanford University, known for his contributions to mathematics education and popular science communication.
  • Q: What is the target audience for this book? A: The book is primarily aimed at first and second year college students in STEM fields, as well as high school students preparing for university-level mathematics.
  • Q: How can this book help students transition from high school to college mathematics? A: It provides insights into mathematical thinking, making the shift from procedural knowledge to understanding concepts easier, which is often a challenge for students.
  • Q: Is 'Introduction to Mathematical Thinking' suitable for self-study? A: Yes, the book is written in an engaging style and is accessible to anyone looking to enhance their analytical thinking skills, making it ideal for self-study.
  • Q: What condition is the book in? A: The book is listed as a 'Used Book in Good Condition', indicating it may have minor wear but is still functional and readable.
  • Q: How many pages does the book have? A: The book contains 102 pages, making it a concise resource for learning mathematical thinking.
  • Q: What type of binding does this book have? A: The book is available in paperback binding, which is lightweight and portable for easy reading.
  • Q: When was 'Introduction to Mathematical Thinking' published? A: The book was published on July 18, 2012.
  • Q: What are some key skills that can be developed by reading this book? A: Readers can improve their logical reasoning, analytical skills, and quantitative thinking, which are valuable in various academic and professional fields.