Date of Award


Degree Name

Doctor of Philosophy




Philip C. Goodell


This Dissertation is the product of several individual multi-disciplinary investigations that cover a variety of topics in mathematics, physics, geology, and geoscience education. The first chapter formulates a better understanding of the timings, magma source, and relationships between dikes and associated magmatic bodies of the Red Bluff Granitic Complex to provide a clearer picture of the evolution of post-Grenville magmatism and tectonism of southwestern USA. The second chapter provides an improved method for representing spatial information in the form of a multidimensional virtual tour where the background map is used as a central object. The third chapter describes two methods to describe the vastness of time: the first a geo-spatial and chronologically organized virtual tour and the second calculates the date of the El Paso/Juarez regional formations proportionally to a 12-month calendar. The fourth chapter describes methods to utilize Google EarthTM to solve for the slope of a path frequently traveled and a new technique for manipulating polygons to calculate volume and surface area. The fifth chapter describes a methodological approach of incorporating motion analysis-based software within the classroom. The sixth chapter discusses the methods and outcomes for a two-year professional development grant for mathematics and Earth science teachers. The primary goal of the program was to encourage teachers to integrate these disciplines into their classrooms.




Received from ProQuest

File Size

175 pages

File Format


Rights Holder

Anthony M. Alvarez