Quantitative Skills > Teaching Resources > Activities > Teaching functions

Using functions in an introductory geoscience course

Linda Eroh, Mathematics Department, University of Wisconsin-Oshkosh;
Maureen Muldoon, Geology Department, University of Wisconsin-Oshkosh;
Carol Ormand, Geology Department, Wittenberg University;
Jennifer Wenner, Geology Department, University of Wisconsin-Oshkosh.

Author Profile

Summary

This is a template and set of exercises designed to help faculty increase the graphical literacy of their students. The template gives general guidelines for teaching students the relationship between functions and their graphical representation. Population growth and atmospheric CO2 increase are two exercises that are included to help teach exponential growth and decay. The template and exercises guide faculty through helping students to make connections between datasets, graphs and functions.

Learning Goals

Context for Use

The template is appropriate for use in teaching functions in introductory geology. These exercises can be used as a homework assignment or can be used during lecture to walk students through graphing and functions.

Teaching Notes and Tips

We envision this template as an outline for teachers of introductory geology classes (physical, historical, environmental, etc.) who want to develop the graphical literacy of their students. They will be able to adapt this template for any graph or function of interest. Similarly, it can be adapted to illustrate functions in a pre-calculus course.

We guide you through reasoning for giving students CONTEXT, showing them and guiding them through exploring DATA, preparing students to GRAPH, exploring the GRAPHICAL expression, introduction and use of EQUATION, and ANALYSIS. Each graph will be different but we also encourage you to have students to think deeply about the mathematics and geology behind what you have shown the students by asking thoughtful questions.

Teaching Materials

  1. Template for teaching functions (Acrobat (PDF) 144kB Jan20 04) with guidelines for helping students to make connections,
  2. Exercise dealing with population growth (Acrobat (PDF) 160kB Jan20 04) and exponential functions,
  3. Exercise dealing with exponential functions in relation to atmospheric carbon dioxide increase (Acrobat (PDF) 152kB Jan20 04) through time.

Assessment

These exercises are most easily assessed by giving them as homework and grading them.

However, the template may be used as a part of a lecture and if this is the case, questions on an exam in which students must interpret a graph or choose the equation that is most like its graphical representation may be appropriate.

References and Resources

World population

Atmospheric CO2 increase

Functions

Controlled Vocabulary Terms

Resource Type: Activities:Classroom Activity:Short Activity, Activities:Problem Set, Classroom Activity
Special Interest: Quantitative
Grade Level: College Lower (13-14), :Introductory Level
Quantitative Skills: Vectors and Matrices, Probability and Statistics:Data Trends:Curve Fitting/Regression, Problem Solving:Equations, Arithmetic/Computation, Graphs, Geometry and Trigonometry, Algebra, Logarithms/Exponential Functions:Logarithms
Ready for Use: Ready to Use
Quantitative Skills Activity Type: Short Activity, Problem Set, Classroom Activity

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