This text is organized into five units, not all of which can be covered in one semester, as mentioned above. The chapters in each unit are all connected through a common ”thinking strategy”. The thinking strategies are described in the table 1. The breakdown of topics in each chapter within the units is described later.
Unit | Thinking Strategy |
Quantifying the World | Students learn the importance of data and how to locate data in real world situations. |
Analyzing Data Through Spatial Models | Students learn how to use basic charts and graphs to deeply understand a problem situation. |
Analyzing Data Through Linear Models | Students learn how to apply proportional reasoning to understand data with one or more independent variables. |
Analyzing Data Through Nonlinear Models | Students learn to build models by linearizing non-proportional data and learn how to interpret these in realistic situations. |
Analyzing Data Through Calculus Models | Now that students understand how to build models from data, they learn how to use concepts from calculus to understand the problem from which the data and the model were derived. |
Each chapter is designed to be covered in one week of a typical semester course. Since the homework problems (see below) come at the end of a chapter, the homework schedule should, ideally, consist of one assignment per week. Each chapter’s introduction provides a brief overview. It also includes a list of goals and objectives that the student should have after completing the chapter. After the introduction and overview, the main content of each chapter is separated into two major sections, each of which consists of the following: