By the end of this module, the student will

• know the difference between deductive and inductive reasoning
• distinguish between arithmetic and geometric sequences
• apply the Pólya problem solving method, focusing on the strategies and the need to “look back”
• use estimation as a technique to check that your answer is reasonable

These are the assigned reading for this module:

• Hawkes Learning Systems: Chapter 1

Hawkes Learning Systems is excellent for testing (and training) you on small, easily determined, problems. You will always know the section to focus on when you do Hawkes. This is its major strength (everyone can succeed here) and its main weakness (it does not test higher-order learning). To complement its weakness, I developed these chapter assignments.

• Chapter 1 Assignment

To obtain any points for the chapter, you need to pass the Certify part.

• Hawkes Learning Systems: Chapter 1

Here is a video exploring the Hawkes dashboard and their three-step process.

These are the slide decks that I will be going through during class. I expect you to download these before class and be familiar with them.

• §1.1: Thinking Mathematically: What does it actually mean?
• §1.2: Estimating and Evaluating: Close is sometimes enough
• §1.3: Problem Solving: Processes and Techniques

By the way: It is extremely important that you go through the slide decks before class. Knowing what will be discussed helps you better learn the material and how it fits into everything you already know. Make no mistake about it: This is a college-level course. This means you have college-level expectations on you.