He/Him/His**School of Mathematical SciencesNatural and Health Sciences**

(970) 351-2011

Ross Hall 2250-D

MWF 1:30pm to 3:00pm in Ross 2250; Tutoring Hours: Thursdays 10:00am to 11:00am in
Ross 1250

- Ph.D. in Mathematics Education, Arizona State University, ABD
- Graduate Certificate in Statistics, Arizona State University, 2013
- M.S.Ed.--Teaching Mathematics, Northwest Missouri State University, 2011
- B.S. in Mathematics, Doane University (formerly Doane College), 2009

Access my additional pages here.

Neil Hatfield joined the University of Northern Colorado as a Visiting Assistant Professor in 2018, as he finishes his doctorate in mathematics education. His research interest is the teaching and learning of undergraduate mathematics and statistics. His work primarily focuses on how students develop their understandings of distribution in statistics. He has spent the last four years developing an introductory statistics course that focuses on conceptual understanding using his research and embraces modern approaches to statistics. This redesigned course incorporates guided discussions, in-class activities, simulations, statistical software, and data visualizations to support students in viewing statistics as applicable to real world situations and give them hands-on experiences in using statistics.

- 2018-Present: Visiting Assistant Professor, University of Northern Colorado
- 2017-2018: Instructor, Arizona State University
- 2013-2017: Graduate Teaching Associate, Arizona State University
- 2011-2015: Graduate Research Associate, Arizona State University
- 2009-2011: Graduate Teaching Assistant, Northwest Missouri State University

- Statistics Education
- Students' Understanding of Distribution
- Students' Understanding of Stochastic Processes
- Students' Images of Randomness
- Students' Meanings for Probability

- Mathematics Education
- Quantitative Reasoning
- Function Notation
- Structure Sense

- Statistics
- Multivariate Ranking Methods

- Thompson, P. W.,
**Hatfield, N. J.**, Yoon, H., Joshua, S., and Byerley, C. (2017) Covariational reasoning among U.S. and South Korean secondary mathematics teachers.*Journal of Mathematical Behavior*, 48, pp. 95-111. - Thompson, P. W., Byerley, C., and
**Hatfield N. J.**(2014) Schemes for thinking with magnitudes: A hypothesis about foundational reasoning abilities in algebra. In L. P. Steffe, L. L. Hatfield, & K. C. Moore (Eds.),*Epistemic algebra students: Emerging models of students’ algebraic knowing*(pp. 1-24). Laramie, WY: University of Wyoming. - Thompson, P. W., Byerley, C., and
**Hatfield, N. J.**(2013). A conceptual approach to calculus made possible by technology. Computers in the Schools.

- Middleton, J. A., Tallman, M.,
**Hatfield, N. J.**, & Davis, O. (2015). Taking the*severe*out of perseverance: Strategies for building mathematical determination. In N. Alpert & C Kurose, (Eds.),*Mathematics Instruction for Perseverance*. Chicago, Il: Spencer Foundation.

**Hatfield, N. J.**(2018). Students’ conveyed meanings for probability. In M. A. Sorto, A. White, & L. Guyot (Eds.), Looking back, looking forward. Proceedings of the Tenth International Conference on Teaching Statistics. Kyoto, Japan; Voorburg, The Netherlands: International Statistical Institute. Retrieved from http://icots.info/10/proceedings/pdfs/ICOTS10_6H1.pdf?1531364281**Hatfield, N. J.**(2016). An initial look at students’ conveyed meanings for probability. In T. Fukawa-Connelly, N. Infante, M. Wawro, and S. Brown (Eds.), Proceedings of the 19^{th}Annual Conference on Research In Undergraduate Mathematics Education (pp. 190-203). Pittsburgh, Pennsylvania: Mathematical Association of America.- Musgrave, S.,
**Hatfield, N. J.**, and Thompson, P. W. (2015). Teachers’ meanings for the substitution principle. In T. Fukawa-Connelly, N. E. Infante, K. Keene & M. Zandieh (Eds.), Proceedings of the 18^{th}Annual Conference on Research in Undergraduate Mathematics Education (pp. 801-808). Pittsburgh, Pennsylvania: Mathematical Association of America. - Musgrave, S.,
**Hatfield, N. J.**, and Thompson, P. W. (2015). Calculus students’ meanings for difference. In T. Fukawa-Connelly, N. E. Infante, K. Keene & M. Zandieh (Eds.), Proceedings of the 18^{h}Annual Conference on Research in Undergraduate Mathematics Education (pp. 809-814). Pittsburgh, Pennsylvania: Mathematical Association of America. - Joshua, S., Musgrave, S.,
**Hatfield, N. J.**, & Thompson, P. W. (2015). Frames of reference. In T. Fukawa-Connelly, N. E. Infante, K. Keene & M. Zandieh (Eds.), Proceedings of the 18^{th}Annual Conference on Research in Undergraduate Mathematics Education (pp. 31-44). Pittsburgh, Pennsylvania: Mathematical Association of America. **Hatfield, N. J.**(2013). The action, process, object, and schema theory for sampling/sampling distribution. In S. Brown, G. Karakok, K. H. Roh, & M. Oehrtman (Eds.) Proceedings of the 16^{th}Annual Conference on Research in Undergraduate Mathematics Education (Vol. 1, pp. 296-307). Denver, Colorado: Mathematical Association of America.- Byerley, C.,
**Hatfield, N. J.**, & Thompson, P. W. (2012). Calculus Student Understandings of Division and Rate. In S. Brown, S. Larsen, K. Marrongelle, & M. Oehrtman (Eds.), Proceedings of the 15th Annual Conference on Research in Undergraduate Mathematics Education (pp. 358–363). Portland, Oregon: Mathematics Association of America.

**Hatfield, N. J.**(2018, July). Students’ conveyed meanings for probability. The Tenth International Conference on Teaching Statistics. Kyoto, Japan.**Hatfield, N. J.**(2018, July). Challenges of Teaching Probability. Invited Session Chair. The Tenth International Conference on Teaching Statistics. Kyoto, Japan.**Hatfield, N. J.**(2016, February). Probabilistic thinking: An initial look at students’ meanings for probability. The 19th Annual Conference on Research in Undergraduate Mathematics Education. Pittsburgh, Pennsylvania.- Musgrave, S.,
**Hatfield, N. J.**, and Thompson, P. W. (2015, February). Teachers’ meanings for the substitution principle. The 18th Annual Conference on Research in Undergraduate Mathematics Education. Pittsburgh, Pennsylvania. - Musgrave, S.,
**Hatfield, N. J.**, and Thompson, P. W. (2015, February). Calculus students’ meanings for difference. The 18th Annual Conference on Research in Undergraduate Mathematics Education. Pittsburgh, Pennsylvania. - Joshua, S., Musgrave, S.,
**Hatfield, N. J.**, & Thompson, P. W. (2015, February). Frames of reference. The 18th Annual Conference on Research in Undergraduate Mathematics Education. Pittsburgh, Pennsylvania. - Yoon, H.,
**Hatfield, N. J.**, and Thompson, P. W. (2014, July). Teachers’ meanings for function notation. The 38^{th}Meeting of the International Group for the Psychology of Mathematics Education. Vancouver, BC, Canada. **Hatfield, N. J.**(2013, February). The Action, Process, Object, and Schema Theory of Sampling/Sampling Distribution. The 16th Annual Conference for Research in Undergraduate Mathematics Education in Denver, CO.- Byerley, C., &
**Hatfield, N. J.**(2013, February). Pre-service Secondary Teachers’ Meanings for Fractions and Division. The 16th Annual Conference for Research in Undergraduate Mathematics Education in Denver, CO. - Thompson, P. W.,
**Hatfield, N. J.**, Byerley, C., & Carlson, M. P. (2013, February). Under the Radar: Foundational Meanings that Secondary Mathematics Teachers Need, Do Not Have, but Colleges Assume. The 16th Annual Conference for Research in Undergraduate Mathematics Education in Denver, CO. - Byerley, C., &
**Hatfield, N. J.**(2013, January). University Calculus Students’ Meanings for Fraction and Quotient. The 2013 Joint Mathematics Meetings for the American Mathematical Society and the Mathematical Association of America in San Diego, CA. - Byerley, C
**., Hatfield, N. J.**, Carlson, M. P., & Thompson, P. W. (2013, January). Assessing High School Teachers’ Mathematical Meanings for Teaching Secondary Mathematics. The 2013 Joint Mathematics Meetings for the American Mathematical Society and the Mathematical Association of America in San Diego, CA. - Byerley, C.,
**Hatfield, N. J.**, & Thompson, P. W. (2012, February). Calculus Student Understandings of Quotient and Rate. The 15th Annual Conference for Research in Undergraduate Mathematics Education in Portland, OR. **Hatfield, N. J.**(2011, April). Raising achievement through reading and writing mathematics with undergraduate students. The 2011 NCTM Annual meeting and exposition in Indianapolis, IN.

**Hatfield, N. J.**(2016, September). Solving problems with statistics. A presentation and activity session given at Arizona State University’s Math Day.- Thompson, P. W.,
**Hatfield, N. J.**, & Byerley, C. (2012, March). An Approach to Calculus Made Possible by*Technology*. A presentation at the American Mathematical Society Central Sectional Meeting. University of Kansas, Lawrence, KS. **Hatfield, N. J.**(2011, March).*T**anks, planes, and UNICEF: Reasoning and sense making with data**analysis.*A presentation on three statistics lessons to area secondary math teachers for the 2011 Northwest Missouri State University Math Olympiad.**Hatfield, N. J.**(2011, March).*How statistics won World War II.*A presentation on the use of statistics during World War II to area high school students for the 2011 Northwest Missouri State University Math Olympiad.**Hatfield, N. J.**(2010, April).*Reading and writing mathematics with developmental students.*A paper presented at the 2010 Missouri Section meeting of MAA.

**Hatfield, N. J.**(2017, September). Tutoring for classes focused conceptual understanding. A presentation given at Arizona State University for the University Academic Success Program.**Hatfield, N. J.**(2015, October). Bootstrapping across platforms. A presentation given at Arizona State University for the Graduate Statistics Club.- Thompson, P. W.,
**Hatfield, N. J.**, Byerley, C., & Carlson, M. P. (2013, February). Assessing Secondary Teachers’ Mathematical Meanings for Teaching Secondary Mathematics. A presentation of research given to the Mathematics Education Seminar of Arizona State University. **Hatfield, N. J.**(2011, March). Raising achievement through reading and writing mathematics with undergraduate students. An overview of a paper presented at the 2011 Northwest Missouri State University’s Celebration of Quality in Maryville, MO.**Hatfield, N. J.**(2009, November). Teaching math through games. A professional development presentation given to the Northwest Missouri State University MathEd club.

**Hatfield**,**N. J.**(2018)*StatsTools*, v. 3. [JMP Add-In]. A suite of tools to extend JMP’s capabilities by including an ANOVA Screens tool, an effect size calculator, and support for students.**Hatfield, N. J.**(2017).*First Day Activity*. An applet for students to explore a simulated outbreak and develop a need for data and statistics. Available: https://mathpost.asu.edu/~neil/statApps/Day1Activity.html**Hatfield, N. J.**(2017).*Four Rooms*. An applet designed to help students explore the differences between deterministic and stochastic processes. Available: https://mathpost.asu.edu/~neil/statApps/FourRooms.html**Hatfield, N. J.**(2017).*Sequences 1*. An applet for students to explore checking a sequence for the appearance of randomness. Available: https://mathpost.asu.edu/~neil/statApps/Sequences.html**Hatfield, N.****J.**(2017).*Fish Sampling*. An applet to allow students to explore several basic sampling methods. Available: https://mathpost.asu.edu/~neil/statApps/FishSampling.html**Hatfield, N.****J.**(2017).*People Sampling*. An applet to allow students to explore simple random sampling based off of the 2010 Census data for the USA. Available: https://mathpost.asu.edu/~neil/statApps/PeopleSamplingWeb.html**Hatfield, N. J. and Sander, G.**(2017).*StatCalc*. An online calculator for calculating cumulative probabilities from common named distributions. Available: https://mathpost.asu.edu/~neil/statCalc/statcalc.html