Research Work


Dissertation and Minor Thesis

Miller, D. (2006). Evaluating the Effectiveness of a Learning Supplement System in Technical Calculus. Dissertation Abstracts International, AAT 3221783.

Miller, D. (2004). Fractional Calculus*. Unpublished Minor Thesis.

* Required to complete both dissertation and minor thesis to show competence in both mathematics and mathematics education. I choose the area of mathematics education for my dissertation and mathematics for my minor thesis.


Publications

Miller, David A., and Sugden, Stephen J. (2009). Insight Into the Fractional Calculus Via a Spreadsheets. Spreadsheets in Education (eJSiE): Vol 3: Iss. 2, Article 4. Available at: http://epublications.bond.edu.au/ejsie/vol3/iss2/4

Miller, D. (2010). Using a Three-Step Method in a Calculus Class: An Extension of the Worked Example. College Teaching, 58(3).

Miller, D. and Sugden, S. (2010). Basic Finance Made Accessible in Excel: The Big 5, Plus 2. Spreadsheets in Education(eJSiE): Vol 4: Iss. 2, Article 1. Available at: http://epublications.bond.edu.au/ejsie/vol4/iss2/1

Miller, D. and Sugden, S. (2010). Exploring the Fundamental Theorem of Arithmetic in a Spreadsheet. Spreadsheets in Education (eJSiE): Vol 4: Iss. 2, Article 2. Available at: http://epublications.bond.edu.au/ejsie/vol4/iss2/2

Miller, D., Fuller, E., and Darrah, M. (2010). A Comparative Study of Partial Credit Assessment and Computer-Based Testing. Journal for Computers in Mathematics and Science Teaching. 29(4), 373 - 398.

Miller, D. (2011). Using Geogebra to Investigate a Special Property of Cubic Polynomails. Mathematics Teacher, Vol. 105, No. 2, 146 - 149.

Miller, D., and Sugden, S. (2011). Spreadsheet Conditional Formatting Illuminates Investigations into Modular Arithmetic. Chapter 4 of "Applications of Spreadsheets in Education: The Amazing Power of a Simple Tool", 175 - 195.

Miller, D., and Sugden, S. (2012). Aspects of Elementary Number Theory Illustrated in the Spreadsheet Environment. Chapter 2 or "Computers in Education", Vol. 2, 195 - 214, Nova Science Publishers, Inc.

Miller, D., and Moseley, J. (2012). Extending a Property of Cubic Polynomials to Higher Degree Polynomials. MathAMATYC Educator, Vol. 3(3).

Miller, D., Pyzdrowski, L., Curtis, R., Sun, Y., Winn, G., and Hensel, R. (2013). Student Indicators for Success in an Entry-Level Calculus Course. International Journal of Science and Mathematics Education. Vol. 11, Issue 3, 529 - 554.

Miller, D, and Mays, M. (2013). A Number and Algebra Course for Middle School Mathematics Teachers. MAA Notes #80. Mathematical Association of America (Incorporated).

Miller,D. (2013). Investigating the Generalization of a Special Property of Cubic Polynomials to Higher Degree Polynomials. North America Geogebra Journal. Vol. 2, No.1.

Miller, D. (2014). Parcipants' Perceptions and Experiences with Worked Examples in Calculus. The Mathematics Educator, Vol. 15, No. 2, pp. 77 - 100.

Miller, D. and Schraeder, M. (2015). Research on Group Learning and Cognitive Science: A Study of Motivation, Knowledge, and Self-Regulation in a Large Lecture College Algebra Class. The Mathematics Educator, 24(2), 27-55.

Ciesielski, K. and Miller, D. (2016). Continuous Tale on Continuous and Separately Continuous Functions. Real Analysis Exchangei, 41(1), 19-54.

Deshler, J.M., Miller, D., and Pascal, M. (2016). An Active Classroom: The Emerging Scholars Program at West Virginia University. PRIMUS, 26(9), 811-823.

Miller, D., Deshler, J.M., and Hansen, R. (2016). Bunny Hops: Using Mutiplicities of Zeros in Calculus for Graphing. International Journal of Mathematical Education in Science and Technology, 47(5), 803-813.

Ciesielski, K.C. and Miller, D. (2017). On a Genocchi-Peano Example. The College Mathematics Journal, 48(3), 205-213.

Miller, D., Infante, N., and Weber, K. (2018). How Mathematicians Assign Points to Student Proofs. The Journal of Mathematical Behavior, 49, 24-34.


Grants

National Science Foundation (NSF) Louis Stokes Alliance for Minority Participation Phase III Grant for West Virginia - Kentucky Partnership was awarded to West Virginia University. PI - September 1, 2018 - August 31, 2023.

National Science Foundation (NSF) Louis Stokes Alliance for Minority Participation Phase II Grant for West Virginia - Kentucky Partnership was awarded to West Virginia University. PI - September 1, 2013 - August 31, 2018.

WV Higher Education Policy Commission/Division of Science and Research Grant awarded to West Virginia University titled "Challenging America, Reengineering National Education Gains Including fresh Epistemologies & Holistic Approaches to Learning and Leadership (CARNEGIE HALL) for Science, Technology, Engineering, and Mathematics (STEM)." - June 2011.

Internal WVU grant with Ann Chester and Anita Mayer to support underrepresented, first generation, women, students with disabilities and social economic disadvantaged regions in the Seamless Transition Program - Summer 2011.

WV Higher Education Policy Commission/Division of Science and Research Grant awarded to West Virginia University to support Underrepresented Research in STEM.

Faculty Development, International Travel, and ECAS Grants to support research collaboration with a colleague in Austraila.

National Science Foundation (NSF) CCLI phase 2 grant was awarded to WVU titled "The Pursuit of Excellence: Transforming Undergraduate Science Education Through Evidence-Based Practice". Co-PI - January 1, 2010 to December 31, 2013.

WV Higher Education Policy Commission/Division of Science and Rsearch Grant awarded to West Virginia University titled "Early Experiences in Research for Undergraduate Underepresented Science, Technology, Engineering, and Mathematics Students".PI - June 1, 2009 to July 31, 2009.

National Science Foundation (NSF) Robert Noyce Fellowship Grant awarded to West Virginia University titled "The Teaching Excellence at College for High Achievement in West Virginia (TEACH-WV)". Co-PI - May 1, 2009 to April 30, 2013.

National Science Foundation (NSF) Louis Stokes Alliance for Minority Participation Grant for West Virginia-Kentucky Partnership was awarded to West Virginia University. PI - November 1, 2007 - October 31, 2011.

National Science Foundation (NSF) Louis Stokes Alliance for Minority Participation Grant for West Virginia - Kentucky Partnership was awarded to West Virginia University. PI - September 1, 2013 - August 31, 2016.

WVU ARTS Grant to fund WVU SI Summer Institute at West Virginia University (Summer 2008 with the Biology department and Summer 2009 with all departments in ECAS). Co-PI - June 1, 2008 through June 30, 2009.

WV Higher Education Policy Commission/Division of Science and Research Grant awarded to West Virginia University titled "LSAMP Research Symposium - Preparing the Next Generation for Careers and Opportunities in STEM." PI - April 16, 2010 - April 30, 2010.

WV Higher Education Policy Commission/Division of Science and Research Grant awarded to West Virginia University titled "Challenging America, Reengineering National Education Gains Including fresh Epistemologies & Holistic Approaches to Learning and Leadership (CARNEGIE HALL) for SciencE, Technology, Engineering, and Mathematics (STEM)." PI - June 2010.

WVEPSCOR Grant for students to travel to the LSAMP Student Symposium at University of Kentucky - February 29, 2008 - March 1, 2008.

Science Education for New Civic Engagements and Responsibilities (SENCER) grant - 2007 - 2009.

PKAL (Project Kaleidoscope) National Grant was awarded to West Virginia University in the Summer 2008. This grant focuses on establishing what works in building and sustaining undergraduate programs in the STEM fields.

Mini-Grant was awarded to Dr. Pascal and myself titled "Tutoring Skills and Mathematics Coursework." - Summer 2007.


Conference Proceedings

Miller,D. (2007). Helping Students Understand Technical Calculus via an Online Learning Supplement and Group Learning. Proceedings of the Mathematics Education into the 21st Century Project. 9th Annual International Conference in Math Education - Mathematics Education in a Global Community, Vol.9, 431-436.

Miller,D. (2009). Participants' Perceptions and Experiences with Worked-Out Examples in Calculus. Online Proceedings of the 12th Annual Conference for Research in Undergraduate Mathematics Education (RUME) [available at http://rume.org/crume2009/Miller1_LONG.pdf].

Miller,D. (2009). Promoting Success in Applied College by Using Worked Examples in Supplemental Sessions. Online Proceedings of the 12th Annual Conference for Research in Undergraduate Mathematics Education (RUME) [available at http://rume.org/crume2009/Miller2_LONG.pdf].

Miller, D., Fuller, E., Darrah, M. (2009). A Comparative Study of Partial Credit Assessment and Computer-based Testing. The Online Proceedings of the International Conference of Technology and Computers in Mathematics.

Miller, D., Darrah, M., Fuller, E. (2010). A comparative Study of Partial Credit Assessment and Computer-based Testing. ED-MEDIA 2010. (revised article from the ICTCM paper).

Miller, D. (2011). Promoting Success in College Algebra by Using Worked Examples in Weekly Active Group Work Sessions. Research Report. Research in Undergraduate Mathematics Education (RUME) Conference. February 24 - 27, 2011.

Miller, D. (2012). Illustrating the Extension of a Special Property of Cubic Polynomials to nth Degree Polynomials. The Online Proceedings of the International Conference of Technology and Computers in Mathematics.

Miller, D, and Schraeder, M. (2013). Using Cognitive Science with Active Learning in a Large LectureCollege Algebra Course. Proceedings of the 16th Annual Conference on Research in Undergraduate Mathematics Education (RUME), Denver Co.

Miller, D, and Cadwalladerolsker, T. (2013). Adapting Model Analysis for the Study of Proof Schemes. Proceedings of the 16th Annual Conference on Research in Undergraduate Mathematics Education (RUME), Denver, CO.

Miller, D., Engelke-Infante, N., and Adu, S. (2015). Students' Understanding of Composition of Functions Using Model Analysis. Proceedings of the 17th Annual Conference on Research in Undergraduate Mathematics Education, Pittsburgh, PA.

Miller, D., Infante, N., and Weber, K. (2015). Mathematicians' Assessment of Proofs with Gaps Depending on the Author of the Proof. PME-NA 37: Psychology of Mathematics Education - North America Chapter, 1(1), 411-414, Michigan State University.

Miller, D., Infante, N., and Weber, K. (2016). Mathematicians' Grading of Proofs with Gaps. Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education (RUME), Pittsburgh, PA.