The Power of Mathematics is designed for use in a general education mathematics course for college students with diverse majors and various levels of mathematical preparation. It is written from the perspective that our students are accomplished learners who can (and hopefully will) enjoy mathematics. The focus is on engaging students in authentic mathematical practice through problem solving By the end of the course, we hope that students have an appreciation for the power of mathematics not just in society and for decision-making, but also as a source of joy.
The Power of Mathematizing
Introduction
Operations
Generalized Arithmetic
Fractions
Visual Patterns
Measurements
The Power of Proportional Thinking
Proportional Thinking
Percentage
Inflation
Weighted Average
The Decision-Making Power of Mathematics
Probability
Simulation and Data Visualization
Center and Variability
Simple and Compound Interests
Savings for Future Goals
Borrowing
The Societal Power of Mathematics
Voting Theory
Gerrymandering
Jen-Mei
Chang
Jen-Mei Chang is a Professor of Mathematics at California State University, Long Beach (CSULB) where she has been the Coordinator of the Early Start Mathematics Program since 2017 and the course coordinator of the entry-level quantitative reasoning course since 2018. Jen-Mei spent her first 18 years in Taiwan before moving to the United States in 1996 as a high school exchange student. Jen-Mei received her B.A. in Mathematics at California State University, Sacramento and her Master's and Ph.D. in Mathematics at Colorado State University. Her research interests include the scholarship of teaching and learning, mathematical analysis of human placenta and its connections to autism, computational and geometric methods for analyzing large data sets, machine learning and digital image processing. Jen-Mei is a red'08 dot in the Mathematical Association of America's Project NExT. She received CSULB's Distinguished Faculty Teaching Award in 2015 and the Faculty Award for Excellence in 2013 in the College of Natural Sciences and Mathematics. Jen-Mei is the Principal Investigator for the National Science Foundation DUE Award #1833753: Mentored Excellence Toward Research and Industry Careers. Her lifelong passions are to inspire, educate, and empower college students to reach beyond their imaginable potentials.
Joshua
Chesler
Josh Chesler is a professor in the Department of Mathematics & Statistics at California State University, Long Beach. His research interests are in mathematics education, particularly in the preparation of mathematics teachers. He serves on the curriculum development team for the Mathematical Reasoning with Connections (MRWC) 12th grade mathematics course in California. Prior to completing a Ph.D. in Mathematics, he earned a B.A. in Anthropology, worked in the finance industry, and did some software development. Josh believes that an important power of mathematics is the joy it can bring when sense making and problem solving are emphasized.