Improving Applied Mathematics Education (SEMA SIMAI Springer Series, 7)

✍ Scribed by Ron Buckmire (editor), Jessica M. Libertini (editor)

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 94
• Category: Library

✦ Synopsis

This book presents various contemporary topics in applied mathematics education and addresses both interested undergraduate instructors and STEM education researchers. The diverse set of topics of this edited volume range from analyzing the demographics of the United States mathematics community, discussing the teaching of calculus using modern tools, engaging students to use applied mathematics to learn about and solve problems of global significance, developing a general education course for humanities and social sciences students that features applications of mathematics, and describing local mathematical modeling competitions and their use in providing authentic experiences for students in applying mathematics to real world situations. The authors represent diversity along multiple dimensions of difference: race, gender, institutional affiliation, and professional experience.

✦ Table of Contents

Preface
Acknowledgments
Contents
Editors and Contributors
About the Editors
Contributors
Who Does the Math?'': On the Diversity and Demographics of the Mathematics Community in the USA 1 The Importance of STEM and Mathematics in the USA 2 What is theMathematics Community''?
3 Who ``Does the Math''?
4 Conclusion
References
Teaching Calculus as a Tool in the Twenty-First Century
1 Background and Significance
2 A Note On Rigor
3 Course Overview
4 Opening Activities
5 Differential Equations Project
6 Numerical Integration Project
7 Related Rates Project
8 Optimization Project
9 Geometric Applications of Integrals Project
10 Taylor Series Project
11 Absolutely Basic Competencies Exam
12 Evidence of Effectiveness
13 Future Directions
References
Engaging Students in Applied Mathematics Education and Research for Global Problem Solving
1 Introduction
2 Mathematical Modeling and Problem Solving
2.1 The Observe Phase
2.2 The Theorize Phase
2.3 The Formulate Phase
2.4 The Describe Phase
2.5 The Analyse Phase
2.6 The Simulate Phase
2.7 The Validate Phase
2.8 The Predict Phase
3 Global Problem Solving Using Mathematical Modeling
3.1 The Observe Phase
3.2 The Theorize Phase
3.3 The Formulate Phase
3.4 The Describe Phase
3.5 The Analyse Phase
3.6 The Simulate Phase
3.7 The Validate Phase
3.8 The Predict Phase
4 Integrating Research with Teaching and Learning
5 Discussion and Conclusion
References
Developing Non-Calculus Service Courses That Showcase the Applicability of Mathematics
1 Introduction
2 Implementation
3 Example Modules and Activities
3.1 Culture Trip
3.2 BATtleship
3.3 Voting Tendencies
3.4 Art Gallery
3.5 Leaking Pool
3.6 Army Finance
3.7 Other Activities
4 Student Feedback
5 Conclusion
References
Promoting Interdisciplinary and Mathematical Modelling Through Competitions
1 The Value of Mathematical Modelling Experiences
2 A Well-Known Modelling Contest
2.1 MCM/ICM Contest Format and Problems
2.2 MCM/ICM Judging
2.3 Some Drawbacks to the MCM/ICM
3 Local Modelling Competitions
3.1 A Rural Competition
3.2 An Urban Competition
4 Problems for the Local Modelling Competition
5 Possible Modifications to Customize the Event
5.1 Introductory Modelling Workshop for Students
5.2 Other Possible Workshops
6 Student and Faculty Feedback
6.1 Student Feedback
6.1.1 Student Motivation: Why Do You Want to Attend the Competition?
6.1.2 Student Expectation: What Do You Expect from This Competition?
6.1.3 Student Reflections After the Competition
6.2 Faculty Feedback
6.2.1 SVMMC Faculty Feedback
6.2.2 SUTD-MMC Faculty Feedback
7 Conclusions
References