The Mathematics of the Tri–Squared Triangulation Algorithmic Model

James Edward Osler II*
Associate Professor, Department of Curriculum and Instruction, North Carolina Central University, USA.
Periodicity:July - September'2016
DOI : https://doi.org/10.26634/jmat.5.3.8224

Abstract

This work provides a mathematical and an epistemological rational for the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test. The design of fixed-parameter algorithms for research engineering can prove to be beneficial to a variety of fields of learning. This novel methodology provides statistical power and mathematical elegance to research outcomes. It is a comprehensive approach that has a wide range of applicability as it practically addresses important and relevant problems with sample sizes that are small and research arenas that are rather complex. This research is the continuation of a dynamic mixed methods approach that is a transformative process which changes qualitative data into quantitative outcomes through the Tri–Squared statistical measure first introduced in i-manager's Journal of Mathematics.

Keywords

Algorithmic Model, Algorithmics, Cartesian Coordinates, Geometric Vectors, Models, Research Engineering, Triangulation, Trichotomy, Tri–Squared, Vector

How to Cite this Article?

Osler, J. E., II. (2016). The Mathematics of the Tri–Squared Triangulation Algorithmic Model. i-manager’s Journal on Mathematics, 5(3), 8-26. https://doi.org/10.26634/jmat.5.3.8224

References

[1]. Apostol, T. M. (1967). Calculus, Second Edition, Volume One: One-variable Calculus, with an Introduction to Linear Algebra. Waltham, MA: Blaisdell.
[2]. Kant, I. (2007). Critique of Pure Reason (based on Max Müller's translation). P. Classics a Division of Pearson PLC. New York, NY.
[3]. Orlich, et al. (2004). Teaching Strategies: A Guide to Effective Instruction. Houghton Mifflin. Boston, Mass.
[4]. Osler, J. E. (2013a). “The Psychometrics of Educational Science: Designing Trichotomous Inventive Investigative Instruments for Qualitative and Quantitative for Inquiry”. i-manager's Journal on School Educational Technology. Vol.8, No.3, Print ISSN 0973-2217, E-ISSN 2230-7133, pp.15-22.
[5]. Osler, J. E. (2013b). “The Psychological Efficacy of Education as a Science through Personal, Professional, and Contextual Inquiry of the Affective Learning Domain”. i-manager's Journal on Educational Psychology, Vol.6, No.4, Print ISSN 0973-8827, E-ISSN 2230-7141, pp.36-41.
[6]. Osler, J. E. & Waden, C. (2012). “Using Innovative Technical Solutions as an Intervention for At Risk Students: A Meta–Cognitive Statistical Analysis to Determine the Impact of Ninth Grade Freshman Academies, Centers, and Center Models upon Minority Student Retention and Achievement”. i-manager's Journal on School Educational Technology, Vol. 8, No.2, Print ISSN 0973-2217, E-ISSN 2230-7133, pp.11-23.
[7]. Osler, J. E. (2012). “Trichotomy–Squared – A novel mixed methods test and research procedure designed to analyze, transform, and compare qualitative and quantitative data for education scientists who are administrators, practitioners, teachers, and technologists”. i-manager's Journal on Mathematics, Vol.1, No.3, Print ISSN 2277-5129, E-ISSN 2277-5137, pp.23-32.
[8]. Rust, J. & Golombok, S. (1989). Modern Psychometrics: The Science of Psychological Assessment (2nd ed.). Florence, KY, US: Taylor & Frances/Routledge.
[9]. Sensagent, (2012). Retrieved, May 9, 2012: http://dictionary.sensagent.com/trichotomy+ (mathematics)/en-en/
[10]. Singh, S. (1997). Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem. A. Books-a Division of Random House. New York, NY.
[11]. Singh, S. (2002). Fermat's Last Theorem. Hammersmith, London, UK: Harper Collins Paperback.
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