Math You Need > Graphing > Reading a point from a curve > Reading a point from a curve - Instructor

Guiding students through interpreting lines and graphs
example of a graph that has been turned on its side
An instructor's guide to Reading points from a curve

Geologists use graphs in a variety of simple ways that nearly any student can comprehend. Graphs are visualizations of (often large) data that can be used to predict geologic events, to characterize the behavior of systems, and to help geologists generalize about systems that might not be easy to understand just by looking at a bunch of numbers. Graphs are a way of making scores of data points manageable and, often, more understandable. Introductory geoscience course activities rely heavily on interpretation of graphical data - asking students to read from curves and lines that represent natural phenomena. However, few introductory textbooks describe the mathematics behind the graphical data and almost none provide support for students who are unfamiliar with interpreting graphical data. In addition, some graphs in the geosciences are types that are completely unfamiliar to students (e.g., Hjulstrom's diagram or the Hypsometric Curve) and many of the graphs are rotated sideways (like the one to the right) or turned on their heads (to mathematicians), violating some of the rules students may have learned in high school algebra. This guide is designed to help you to use the Reading points from a curve effectively in your introductory geoscience courses.

What should the student get out of this page?

By the time the student has worked through the module, he/she should be able to:

Why is it hard for students?

When confronted with a plot with a line or a curve, many of our students just freeze up. There are myriad reasons for this type of behavior. In general, we are asking students to extrapolate or interpolate numbers from a line (without points plotted on the line). This is a task that students may not know how to do - graphs are often taught as a place to put data, not a place to gather data. Here are some reasons that students might struggle with this concept:

In any case, there are numerous reasons that students struggle with reading plots and this module is designed to get them more comfortable with collecting data from plots and to provide them with support that is often absent from their textbooks.

What have we left out of this page?

Igneous rock classification commonly found in introductory textbooks. From NASA's remote sensing tutorial page. This type of graph is not covered in the reading points from a line tutorial on The Math You Need.
This page is designed to help students with reading points from a single line or curve. We do not talk at all about some of the other graphs, such as field diagrams (e.g. Hjulstrom's and metamorphic facies diagrams) or cumulative percent graphs (e.g., the igneous rock classification diagram).

Instructor resources

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