Grenvillian Tectonomagmatic Evolution of Southwestern Laurentia; Virtual Tour of Multidimensional Orders of Scale; Two Methods to Describe the Vastness of Time; Math Concepts Utilizing Google Earth; Systematic Approach to Motion Analyses; Mathematics and Earth Science-Based Knowledge and Learning Trends: A Multi-Tiered Investigation and Rationale

Anthony M Alvarez, University of Texas at El Paso

Abstract

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 Earth™ 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.^

Subject Area

Petrology|Science education

Recommended Citation

Alvarez, Anthony M, "Grenvillian Tectonomagmatic Evolution of Southwestern Laurentia; Virtual Tour of Multidimensional Orders of Scale; Two Methods to Describe the Vastness of Time; Math Concepts Utilizing Google Earth; Systematic Approach to Motion Analyses; Mathematics and Earth Science-Based Knowledge and Learning Trends: A Multi-Tiered Investigation and Rationale" (2018). ETD Collection for University of Texas, El Paso. AAI10784165.
https://digitalcommons.utep.edu/dissertations/AAI10784165

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