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E-grāmata: Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom [Taylor & Francis e-book]

(Assumption University, USA.)
  • Formāts: 208 pages, 13 Tables, black and white; 23 Line drawings, black and white; 23 Illustrations, black and white
  • Izdošanas datums: 30-Nov-2020
  • Izdevniecība: Routledge
  • ISBN-13: 9781003000044
  • Taylor & Francis e-book
  • Cena: 155,64 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Standarta cena: 222,34 €
  • Ietaupiet 30%
  • Formāts: 208 pages, 13 Tables, black and white; 23 Line drawings, black and white; 23 Illustrations, black and white
  • Izdošanas datums: 30-Nov-2020
  • Izdevniecība: Routledge
  • ISBN-13: 9781003000044

This practical, engaging book explores the fundamentals of pedagogy and the unique challenges of teaching undergraduate mathematics not commonly addressed in most education literature.

Professor and mathematician, Suzanne Kelton, offers a straightforward framework for new faculty and graduate students to establish their individual preferences for course policy and content exposition, while alerting them to potential pitfalls. The book discusses the running of day-to-day class meetings and offers specific strategies to improve learning and retention, as well as concrete examples and effective tools for class discussion that draw from a variety of commonly taught undergraduate mathematics courses. Kelton also offers readers a structured approach to evaluating and honing their own teaching skills, as well as utilizing peer and student evaluations.

Offering an engaging and clearly written approach designed specifically for mathematicians, A Beginner’s Guide to Teaching Mathematics in the Undergraduate Classroom offers an artful introduction to teaching undergraduate mathematics in universities and community colleges. This text will be useful for new instructors, faculty, and graduate teaching assistants alike.

Acknowledgements ix
Introduction 1(5)
One Course Overview
6(11)
A Note on Terminology
7(1)
Determining Desired Learning Outcomes
7(6)
Assessment
13(2)
Determining a Beginning Classroom Strategy
15(1)
Backward Design
15(1)
Quick Glance: Terminology Overview
16(1)
Two Course Policies, Philosophies, and Syllabi
17(30)
Course Policies
18(18)
Syllabi
36(11)
Three The Basics of the Classroom
47(40)
The First Day of Class
47(6)
Preparing for Class
53(10)
During Class and Office Hours
63(22)
After Class
85(2)
Four Assessment
87(24)
Fostering Academic Honesty with Assessment
88(2)
Homework
90(1)
Quizzes
90(2)
Preparing Students to Take an Exam
92(5)
Writing an Exam
97(3)
The Exam Was Too Long!
100(2)
Grading an Exam
102(4)
Addressing Instances of Academic Dishonesty
106(1)
Course Grades
107(4)
Five Challenges and Opportunities within Commonly Taught Courses
111(50)
Discussion Sections
111(2)
Algebra - Is It Too Late?!
113(2)
Precalculus
115(11)
Calculus I Differential Calculus
126(8)
Calculus II Integral Calculus
134(16)
Sophomore Calculus
150(2)
Elementary Linear Algebra
152(4)
Proof Courses
156(3)
Upper-Level Courses
159(2)
Six Growth through Evaluation and Education
161(18)
Self-Evaluation
163(7)
Peer Evaluations and Collaborations
170(3)
Student Evaluations
173(5)
Pedagogical Professional Development
178(1)
Seven Going beyond Traditional Lecture
179(20)
Preparing to Try Something New
179(2)
Active Learning
181(7)
Course Designs for Active Learning
188(6)
Online Courses
194(3)
A Final Note on Innovation
197(2)
Conclusion 199(1)
References 200(5)
Index 205
Suzanne Kelton is Associate Professor of Mathematics at Assumption University in Worcester, MA. She received her Ph.D. in Mathematics at the University of Virginia and has taught mathematics to learners across a range of universities and colleges.