Publications

Hatfield, N. J. (2018). Students' conveyed meanings for probability. Proceedings of the Tenth International Conference on Teaching Statistics. Kyoto, Japan.

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.

Hatfield, N. J. (2016). An initial look at students' conveyed meanings for probability. In T. Fukawa-Connelly, N. Infante, M. Wawro, & S. Brown (Eds.), Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education (pp. 190-203). Pittsburgh, PA: Mathematical Association of America.

Joshua, S., Musgrave, S., Hatfield, N. J., & Thompson, P. W. (2015). Conceptualizing and reasoning with frames of reference. In T. Fukawa-Connelly, N. Engelke Infante, K. Keene, & M. Zandieh (Eds.) Proceedings of the 18th Annual Conference on Research in Undergraduate Mathematics Education (pp. 31–44). Pittsburgh, PA: Mathematical Association of America. Meritorious Citation Award.

Musgrave, S., Hatfield, N. J., & Thompson, P. W. (2015). Teachers' meanings for the substitution principle. In T. Fukawa-Connelly, N. Engelke Infante, K. Keene, & M. Zandieh (Eds.) Proceedings of the 18th Annual Conference on Research in Undergraduate Mathematics Education (pp. 801–808). Pittsburgh, PA: Mathematical Association of America.

Musgrave, S., Hatfield, N. J., & Thompson, P. W. (2015). Calculus students' meanings for difference. In T. Fukawa-Connelly, N. Engelke Infante, K. Keene, & M. Zandieh (Eds.) Proceedings of the 18th Annual Conference on Research in Undergraduate Mathematics Education (pp. 809–814). Pittsburgh, PA: Mathematical Association of America.

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.) Mathematical Instruction for Perseverance. Chicago, IL: Spencer Foundation.

Thompson, P. W., Byerley, C., & 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.

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 16th Annual Conference on Research in Undergraduate Mathematics Education (Vol. 1, pp. 296-307). Denver, Colorado: Mathematical Association of America.

Thompson, P. W., Byerley, C., & Hatfield, N. J. (2013). A conceptual approach to calculus made possible by technology. Computers in the Schools, 30, pp. 124-147.

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: Mathematical Association of America.



Presentations

The United States Conference on Teaching Statistics--May 2019--State College, PA

Hatfield, N. J. (May 2019).
Students' Images of Randomness Post-Instruction.

International Conference on Teaching Statistics--July 2018--Kyoto, Japan

Hatfield, N. J. (July 2018).
Students' Conveyed Meanings for Probability.

Hatfield, N. J. (July 2018).
The Challenges of Teaching Probability, Session Chair

ASU University Academic Success Programs--September 2017--Tempe, AZ

Hatfield, N. J. (2017).
Tutoring for Classes Focused on Conceptual Understanding

Research in Undergraduate Mathematics Education XIX--February 25-27, 2016--Pittsburgh, PA

Hatfield, N. J. (2016).
Probabilistic Thinking: An Initial Look at Students' Meanings for Probability

ASU Graduate Statistics Club--October 7th, 2015--Tempe, AZ

Hatfield, N. J. (2015).
Bootstrapping Across Platforms

Research in Undergraduate Mathematics Education XVIII--February 19-21, 2015--Pittsburgh, PA

Musgrave, S., Hatfield, N. J., & Thompson, P. W. (2015).
Teachers' Meanings for the Substitution Principle

Musgrave, S., Hatfield, N. J., & Thompson, P. W. (2015).
Calculus Students' Meanings for Difference

Joshua, S., Musgrave, S., Hatfield, N. J., & Thompson, P. W. (2015).
Frames of Reference

38th Meeting of the International Group for the Psychology of Mathematics Education--July 15-20, 2014--Vancouver, BC, Canada

Yoon, H., Hatfield, N. J., & Thompson, P. W. (2014).
Teachers' Meanings for Function Notation

Research in Undergraduate Mathematics Education XVI--February 21-23, 2013--Denver, CO

Hatfield, N. J. (2013).
The Action, Process, Object, and Schema Theory of Sampling/Sampling Distribution
Keynote
PowerPoint
LivescribePencast PDF

Byerley, C. and Hatfield, N. J. (2013).
Pre-Service Secondary Teachers' Meanings for Fractions and Division

Thompson, P. W., Hatfield, N. J., Byerley, C., and Carlson, M. P. (2013).
Under the Radar: Foundational Meanings that Secondary Mathematics Teachers Need, Do Not Have, but Colleges Assume

Joint Mathematics Meetings--January 9-12, 2013--San Diego, CA

Byerley, C., & Hatfield, N. J. (2013).
University Calculus Students' Meanings for Fraction and Quotient

Byerley, C., Hatfield, N. J., Carlson, M., & Thompson, P. W. (2013).
Assessing High School Teachers' Mathematical Meanings for Teaching Secondary Mathematics

AMS Sectional Meeting--March 31, 2012--Lawrence, KS

Thompson, P. W., Hatfield, N. J., & Byerley, C. (2012).
An Approach to Calculus Made Possible by Technology

Research in Undergraduate Mathematics Education XV--February 23-25, 2012--Portland, OR

Byerley, C., Hatfield, N. J., & Thompson, P. W. (2012).
RUME XV Paper (PDF)
Calculus Student Understandings of Quotient and Rate (PowerPoint)

NCTM Annual Meeting and Exposition--April 15th, 2011--Indianapolis, IN

Hatfield, N. J. (2011).
Raising Achievement through Reading and Writing Mathematics with Undergraduate Students
Research Paper (PDF)
NCTM PowerPoint

Math Olympiad--March 17, 2011--Northwest Missouri State University

Hatfield, N. J. (2011).
Tanks, Planes, and UNICEF: Reasoning and Sense Making with Data Analysis
Presentation for the teachers (PowerPoint)
Additional Resources:
How Statistics Won World War II (a.k.a. "Tanks") (PowerPoint)
Supporting Materials: Group Data Sheet, Number Cards, Graphs (PDFs)
Where to Put the Armor (a.k.a. "Planes") (PowerPoint)
Supporting Materials: Plane Data (PDF)
What does it Really Show? (a.k.a. "UNICEF) (PowerPoint)

Celebration of Quality--March 9, 2011--Northwest Missouri State University

Hatfield, N. J. (2011).
Raising Achievement Through Reading and Writing Mathematics



Applets and Programs

Hatfield, N. J. (2019) StatsTools, v. 4. [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://neilhatfield.github.io/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://neilhatfield.github.io/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://neilhatfield.github.io/statApps/Sequences.html

Hatfield, N. J. (2017). Fish Sampling. An applet to allow students to explore several basic sampling methods. Available: https://neilhatfield.github.io/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://neilhatfield.github.io/statApps/PeopleSamplingWeb.html

Hatfield, N. J. and Sander, G. (2017). StatCalc. An online calculator for calculating cumulative probabilities from common named distributions. Available: https://neilhatfield.github.io/statCalc/statcalc.html



Statistical Consulting

  • Awhatukee Foothills Concert Band--Membership Survey 2017
    Assisted in the generation of a survey that was then deployed to the 2016-2017 membership of the AFCB and then analyzed the results using common approaches as well as Latent Semantic Analysis for analyzing open-ended survey items.
  • Project CoMPASS--Flowing Wells School District, Fall 2015–Spring 2016
    Conducted an analysis of the results from the Mathematical Meanings for Teaching Secondary Mathematics Instrument to evaluate the project's professional development intervention.
  • TUSD MSP High School Mathematics Project--Tucson Unified School District & University of Arizona, Fall 2014–Summer 2015
    Conducted an analysis of the results from the Mathematical Meanings for Teaching Secondary Mathematics Instrument to evaluate the project's professional development intervention.
  • Functions and Models: Connecting Content, Standards, and Pedagogy--Northern Arizona State University, Fall 2014–Summer 2015
    Conducted an analysis of the results from the Mathematical Meanings for Teaching Secondary Mathematics Instrument to evaluate the project's professional development intervention.
  • Eggleston, M. J. (in progress). A dissertation on conservation of resources and psychological first aid with trauma survivors in the Phoenix metropolitan area. Northcentral University, Ph.D. in Psychology.
  • Ramella, K.  (in progress). A dissertation on the resiliency of firefighters in the Phoenix metropolitan area in light of the firefighters' positive and negative affect. Northcentral University, Ph.D. in Psychology.
  • Rembecki, A. (2013). Action research paper on improving sight-singing ability through the use of barbershop tags during instruction. Northwest Missouri State University, M.S.Ed-Music.
  • Sullivan, B. (2012). Evaluating the validity of the school motivation and learning strategies inventory for english language learners. (Order No. 3511197, Walden University). ProQuest Dissertations and Theses, 199. Retrieved from http://login.ezproxy1.lib.asu.edu/login?url=http://search.proquest.com/docview/1022498455?accountid=4485. (1022498455), Ph.D. in Psychology.
  • Dollins, S. (2012). Action research paper on differences in sight-singing methods for gains in sight-singing ability. Northwest Missouri State University, M.S.Ed-Music.