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.
- 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?
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
Chapter 9: Tools for communication and interaction in online mathematics teaching and learning
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
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
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
James P. Howard, II is a scientist at the Johns Hopkins Applied Physics Laboratory. Previously, he worked for the Board of Governors of the Federal Reserve System as an internal consultant on statistical computing. He has also been a consultant to numerous government agencies. Additionally, he has taught mathematics, statistics, and public affairs since 2010. He has a Ph.D. in public policy from the University of Maryland Baltimore County.
John F. Beyers, PhD, is Program Chair and Professor of Mathematics and Statistics at the University of Maryland Global Campus (formerly UMUC). Dr Beyers leads a global department of 200+ faculty to serve the educational needs of over 20,000 non-traditional, underrepresented undergraduate students globally. He is responsible for new program development, curriculum planning, teaching effectiveness and Learning Outcomes Assessment. Prior to his current position, Dr Beyers was the Associate Director for the Center of Distance Education at Johns Hopkins University.
Dr Beyers has an extensive academic background as a faculty member and leader of one of the largest online mathematics and statistics departments in the country. While earning a PhD in mathematics education from American University (his dissertation was the first to earn "pass with distinction" in over two decades), Dr Beyers began his career in innovative education as Research Coordinator on the NCTM Standards 2000Project, which resulted in the national standards document Principles and Standards for School Mathematics (NCTM, 2000). He later worked with post-secondary students and faculty at Johns Hopkins University’s Center for Distance Education on innovative distance education models to determine how difficult/easy is it for faculty to embed or integrate technologies into a course and in harmony with their pedagogic model.
Dr Beyers has been recognized for his efforts as an innovative academic leader in higher education. In 2012, he received the UMUC Presidential Award and the University System of Maryland’s Faculty Fellowship Award from the Chancellor’s Office. In 2007, he received the Adelle F Robertson National Educator of the Year Award (UPCEA) and in 2006, he received the Alexander Charters Mid-Atlantic Region Educator of the Year Award (UPCEA).
Dr Beyers has published and presented extensively on the topics of course redesign, adaptive and accelerated learning models, distance learning, and mathematics education.
His current interest is focused on how adaptive learning can be used to deepen the quality of faculty-student engagement and enable development of higher order thinking skills. Dr Beyers has an extensive network of academic colleagues and adaptive learning vendors to establish an Adaptive Resources Community (ARC).
"Covering such issues as Course Design, Student Interaction, Using Technology, Teacher Education, and a Commentary (Online; Mathematics Education, the Good, The Bad, and the General Overview), Teaching and Learning Mathematics Online is an ideal addition to college and university library Mathematics Education collections and as a curriculum textbook for Applied Mathematics supplemental studies lists."
—Midwest Book Review
"This edited volume is particularly timely in the current era of remote teaching and learning. Online education predated the necessity for educational change in the face of a pandemic and is likely to continue—and perhaps expand—in coming years. Many students find learning mathematics difficult, however, and doing so remotely and online only adds to the difficulty. This book is aimed at mathematics teachers, primarily those in higher education, but will also be helpful to secondary school teachers. Contributing authors present examples of teaching mathematics in multiple dimensions or learning modes and in several mathematical disciplines. The 19 substantive chapters are organized in four parts: "Course Design," "Using Technology," "Student Interaction," and "Teacher Education." Each chapter is written by one or several specialists in the given area. The contributors are affiliated with a broad range of international institutions at all levels of higher education, from community college to research university. Each chapter provides substantial references. Part 5 ("Commentary") comprises a single concluding chapter summarizing the main issues and aptly titled "Online Mathematics Education: The Good, the Bad, and the General Overview." This book will be a useful addition to libraries supporting mathematics departments and colleges of education."
"Teaching and Learning Mathematics Online is a welcome and timely addition to the mathematics education literature. In an era of increasing disruption to students’ education, online learning has become an important, albeit challenging, means of teaching and learning mathematics. As the authors indicate, the rapid developments in technology will escalate the opportunities afforded by online learning. Educators are thus striving to provide the most appropriate and stimulating online learning experiences for their students.
Teaching and Learning Mathematics Online comes to the fore, providing a rich source of experiences across a range of topics including approaches to course design, managing online discussions, establishing 'Self-Help Kiosks', and dealing with students’ mathematics anxiety. I highly recommend this book for mathematics educators looking for sound, research supported ways of delivering mathematics learning online in novel, appealing, and powerful ways."
—Lyn D. English, Professor of STEM Education, Faculty of Education, Queensland University of Technology
"As one of the pioneers of Online Mathematics Education, I am very happy to see such a comprehensive book in this area. It should be very useful for mathematics educators, as one can see different tools 'acting' in what I have called the transforming mathematics classroom.
After the COVID-19 crisis, this book has become even more relevant. Mathematics Education may be very different from now on. In any scenario, it seems likely that this book will be a mandatory resource for developing future research in the field. Congratulations to authors from all over the world who helped to build such a book for our community."
—Marcelo C. Borba, Professor in Mathematics Department, São Paulo State University (UNESP) and Associate Editor of ZDM, an International journal of Mathematics Education
"What do you get when gifted teachers decide to write a book? You get a book that speaks to the reader and inspires learning – as opposed to a ‘text’ that seeks to show off the knowledge of the authors. This book was written by gifted teachers speaking to the student and learner – only. The result is a clear and uncluttered path to knowledge."
—Alyson Muff, University of Maryland Global Campus
"For those tasked with the often challenging position of teaching mathematics online, this book serves as a how-to guide filled with research-based best practices. Mathematics educators will find a variety of instructional ideas to implement in their classrooms, whether they be fully online or hybrid, addressing the most pressing issues we face when teaching mathematics."
—Tiffany DePriter, University of Maryland Global Campus
"If you are looking for a realistic, practical how-to compendium of real-world math classroom advice to help you and your students succeed…look no further. This outstanding compendium is it!"
—Mary Dereshiwsky, University of Maryland Global Campus