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[Dr. Green] [Introduction] [Portfolio] [Courses] [Teaching Resources] [Contact] [Other/Links]

If you are interested in an overview of my scholarship, check out this document (PDF)

Common Core Standards

Here is a copy of my Excel data breaking the Common Core math standards down according to the Revised Bloom’s Taxonomy

This data file is the basis for the talk I am giving at the AMS Western Section Meeting, March 3-4, Honolulu, HI

An animation (as slides in PowerPoint) is available that shows how the different cognitive and knowledge types change through the grade levels of the standards is also available.

A Sample of my Published Research

1. “Can an Interdisciplinary Science Learning Community Course improve Scientific Reasoning in Freshman science Students?”, with Tim Franz. Submitted July 2009. Accepted Sept. 2010 for publication in Journal Of The First-Year Experience & Students In Transition.

2. “Matching functions and graphs at multiple levels of Bloom’s revised taxonomy”. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 2010, 20: 3, 204-216.

3. “If Mowat and Davis are correct, then teaching is hard”, with Barney Ricca, Complicity, 2010, 7(1): 63-69. (http://ejournals.library.ualberta.ca/index.php/complicity/issue/view/566)

4. “Mathematical Reasoning in Service Courses: Why Students Need Mathematical Modeling Problems”, with Allen Emerson, The Montana Mathematics Enthusiast, 2010, 7(1): 113-140. (http://www.math.umt.edu/TMME/vol7no1/)

5. “Team-based resource modeling: Projects that teach more than mathematics content”, with Ryan Gantner, The UMAP Journal, 2009, 30(4): 413-428.

6. “Pedagogical content knowledge as a foundation for an interdisciplinary graduate program”, with Diane Barrett. Science Educator, 2009, 18(1): 17-28.

7. “Using spreadsheets to discover meaning for parameters in nonlinear models”. Journal of Computers in Mathematics and Science Teaching, 2008, 27(4): 423-441.

8. “What’s in a name? The Matrix as an introduction to mathematics”. Math Horizons, September 2008, 18-21.

9. “Reorganizing freshman business mathematics II: authentic assessment in mathematics through professional memos”, with Allen Emerson. Teaching Mathematics and its Applications, 2008, 27(2):66-80.

10. “Reorganizing freshman business mathematics I: background and philosophy”, with Allen Emerson. Teaching Mathematics and its Applications, March 2008, 27(1): 11-23.

11. “Pivot tables can turn your record keeping around.” Mathematics Teacher, May 2008, 101(8): 678-81.

12. “Visualizing surfaces and contour diagrams through a classroom activity”. Mathematics and Computer Education. 41(3). Fall 2007.

13. “A new framework for grading”, with W. Allen Emerson. Journal of Assessment and Evaluation in Higher Education. 32(4). August 2007.

14. “Measuring the Doppler effect on a shoestring budget”. The Science Teachers Bulletin from Science Teachers Association of New York State (STANYS). Spring 2007.

15. “Promoting mathematical communication and community via Blackboard”, with Erica Johnson. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, volume 17, number 4, 2007. (http://dx.doi.org/10.1080/10511970601131563)

16. “A solution to Einstein’s field equations for a tachyonic gas: possible astrophysical applications”, with W. John Cocke. Astrophysics and Space Science. 288(4): 431-450.

17. “Creating successful calculus writing assignments”, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, Volume 12, Number 2, June 2002.

18. “Compact Gravity Wave Detector.” (with Dr. Munawar Karim). (http://arxiv.org/PS_cache/gr-qc/pdf/0209/0209015v5.pdf) 28 August 2003.

19. “Supernova data consistent with dark energy as cosmological gravitational radiation (got dark energy?)” (with Dr. Munawar Karim and Dr. Ashfaque Bokhari). Submitted October 13, 2008. (in review)

Invited Book Chapters

B1. “Participating in the Hyperlinked Curriculum”, in Handbook of Curriculum Development, Limon E. Kattington (ed). 2010. Pp. 135 – 175. Part of the Education in a Competitive and Globalizing World Series.

B2. Two chapters to appear in Mathematics and Popular Culture, Jessica K. Sklar and Elizabeth S. Sklar (eds.). McFarland Publishing. Anticipated in print late 2010 or early 2011:

a. B2A. “What’s in a name: The Matrix as an introduction to mathematics”

B2B. “Coming out of the dungeon: Mathematics and Dungeons and Dragons”

Research in Progress

Too many to list at the moment.

This website will never be in a "permanent" state. At any time, the information may change or be supplemented.
Last change: November 2010.