The Number Line through Guided Inquiry
eBook - PDF

The Number Line through Guided Inquiry

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

The Number Line through Guided Inquiry

About this book

The Number Line through Guided Inquiry is designed to give future secondary teachers a deep understanding of the real numbers and functions on the reals. By presenting just that part of the subject that underlies the high school curriculum, this book offers an alternative to a standard real analysis sequence for advanced undergraduate or beginning graduate students. It will give any student a much deeper understanding of the mathematics that they were taught in high school.Written in a guided-inquiry format, this book consists of a carefully scaffolded sequence of definitions, problems, and theorems that guides students through each topic. Readers solve the problems and prove the theorems on their own and present their results to their peers with the instructor as a mentor and a guide. Students will learn not only the mathematics, but also how to help others learn mathematics. They will learn to think creatively and to make compelling arguments to justify their conclusions. They will learn to listen critically to others and give constructive feedback. Ultimately, they will learn to work as a team to answer the bigger questions and build a common understanding of the broader subject.

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Yes, you can access The Number Line through Guided Inquiry by David M. Clark,Xiao Xiao in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Title page
  2. Copyright
  3. Contents
  4. Preface
  5. To the Student
  6. Acknowledgement
  7. Chapter 1. Rational Numbers and Missing Numbers
  8. Chapter 2. Limit Points and Sequences
  9. Chapter 3. Decimal Representations of Numbers
  10. Chapter 4. Complete Number Lines
  11. Chapter 5. Continuity
  12. Chapter 6. Calculus
  13. Chapter 7. Log and Exponential Functions
  14. Chapter 8. The Real Number Line
  15. Chapter 9. The Price of Completeness
  16. Appendix A. Historical Summary
  17. Appendix B. The Reals via Dedekind Cuts
  18. Appendix C. Guidelines for the Instructor
  19. Bibliography
  20. Index