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Math 25
 Topics 

Lecture Notes

Health Decisions

Patterns
Patterns
Calories
Calories
Metabolism
Metabolism
Food Preparation
Food Preparation

Personal Finance Decisions

Typicality
Typicality
Bell Curves
Bell Curves
Mortgages
Mortgages
Saving
Saving for Retirement

Business Decisions

Markup & Discount
Markup & Discount
Pricing
Pricing
Charge Options
Charge Options
Likelihood
Likelihood

Homework

Random Practice
Random Practice
Small Problems
Small Problems
Big Issues
Big Issues

Keep It Real

hallway in the Louvre Imagine a class about art where you learn about many famous paintings, and painters, and styles of painting, and historical influences for painters, etc. But you never picked up a brush and actually painted. That would be an "art appreciation" class, right?

scene from a woodcut in Theorica musicae by Franchinus Gaffurius And imagine a class about music where you listen to many famous songs, and learn about composers and orchestras, and styles of music, etc. But you never wrote notes and actually composed, or used an instrument to play a song. That would be a "music appreciation" class, right?

histogram Now imagine a class about math problems where you learn about famous, old math problems that millions of other people have already solved, but you never actually create any new and original and personal math. That would be a "math appreciation" class, right?

Many Math 25 students have never taken a real math class! They have only had "math appreciation" classes, and were duped into believe these were real math classes.

Math 25 is a real math class. It cares about big issues more than small problems. It has a lot of group work. All homework and tests are open-notes. Real math is like that. No one at their job is ever told, "Go in a room and solve these dozen small math problem without talking to anyone else or looking at a book."

hallway in the Louvre with painter practicing A real math class can be scary, in the same way that after a few art appreciation classes it is scary to start painting for the first time. But it is also useful and rewarding, in the way that actually painting goes beyond art appreciation.

penny farthing bicycle with canopy Also, be warned that Math 25 uses skills and applications together. This makes the skill practice more interesting, and lets students see real-life themes develop as basic skills are used in different types of applications. We do this even though a few decades ago, some researchers decided that a few students learn math better if the basic skills were separated from the interesting but unavoidably more complicated applications. Ever since, many math classes have had a focus on learning skills through boring repetition. Not here!