Description
Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology.
Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content.
Features
- Based on the experiences of working educators in the field
- Assimilates the latest technology developments for interactive distance education
- Focuses on mathematical education for developing early mathematics courses
Table of Contents
Part 1: Course Design
Chapter 1: Teaching Cross-Listed Mathematics Courses Online
Laurie Battle, Atish J. Mitra, H. Smith Risser
Chapter 2: What Do We Know about Student Learning from Online Mathematics Homework?
Allison Dorko
Chapter 3: Designing mathematics hybrid classrooms in high school: the case of Valeria
Chiara Andrà, Domenico Brunetto, Igor' Kontorovich
Chapter 4: Designing mathematics hybrid classrooms in high school: the cases of Nicoletta and Lorenza
Chiara Andrà, Domenico Brunetto, Igor' Kontorovich
Chapter 5: Upper Level Mathematics and Statistics Courses Shared Across Campuses
Stephan Ramon Garcia, Jingchen Hu, Steven J. Miller
Chapter 6: Online Statistics Teaching and Learning
Jim Albert, Mine Cetinkaya-Rundel, Jingchen Hu
Chapter 7: Statistics for Engineers
Charles E. Smith, Kimberly S. Weems, Reneé H. Moore
Part 2: Student Interaction
Chapter 8: Encouraging higher-order thinking in online and hybrid mathematics and statistics courses
Larry Copes
Chapter 9: Tools for communication and interaction in online mathematics teaching and learning
Shay Kidd
Chapter 10: Managing Students’ Mathematics Anxiety in the Context of Online Learning Environments
Michael A. Tallman, Rosaura Uscanga
Chapter 11: A Face-to-Face Program of Support for Students in a Hybrid Online Developmental Mathematics Course
Edgar J. Fuller, Jessica Deshler
Chapter 12: A Practical Guide to Discussions in Online Mathematics Courses
Glenn F. Miller, Kathleen H. Offenholley
Part 3: Using Technology
Chapter 13: Cognitive Load Theory and Mathematics Instruction through MOOCs
E. Zimudzi, S. Kesianye, K.G. Garegae, S. Mogotsi, A.A. Nkhwalume, M.J. Motswiri
Chapter 14: Technological Pedagogical Content Knowledge for Meaningful Learning and Instrumental Orchestrations: A Case Study of a Cross Product Exploration using CalcPlot3D
Monica VanDieren, Deborah Moore-Russo, Paul Seeburger
Chapter 15: Enhancement of Mathematics Learning through Novel Online Tools
Zohreh Shahbazi
Chapter 16: Making Online Mathematics Method Courses Interactive and Effective with OER
Bhesh Raj Mainali
Chapter 17: Developing Interactive Demonstrations for the Online Mathematics Classroom: Interactive Diagrams
Mina Sedaghatjou, Harpreet Kaur, Kelly A. Williams
Part 4: Teacher Education
Chapter 18: MOOCs for mathematics teacher education: new environments for professional development
Eugenia Taranto
Chapter 19: Online Mathematics "Self-Help Kiosks" to Support Pre-Service Teachers
Helen Forgasz, Jennifer Hall, Simone Zmood
Part 5: Commentary
Chapter 20: Online mathematics education, the good, the bad, and the general overview
Sarah Ferguson
