**Anderson
Hassell Norton III**

Department of Mathematics

Virginia Tech

434
McBryde Hall (540) 231-6942

Blacksburg,
VA 24061-0123 norton3@vt.edu

**Professional Preparation:**

**Ph.D.
Mathematics Education**, August 2004

The University of Georgia, Athens, GA

Dissertation: *Students’ Conjectural Operations *(advisor Leslie Steffe)

**M.A.
Mathematics**,
May 2004

The University of Georgia, Athens, GA

Thesis: *Demented
Dimensions *(advisor Theodore Shifrin)

**M.A.
Mathematics Education**, August 1999

The University of Georgia, Athens, GA

Thesis: *Plausible
Reasoning in Geometry *(advisor Leslie Steffe)

**B.S.
Mathematics**,
May 1995

Virginia Polytechnic Institute and State University,
Blacksburg, VA

**Appointments:**

Professor of Mathematics Education,
Department of Mathematics, Virginia Tech, 2017-present

Associate Professor of
Mathematics Education, Department of Mathematics, Virginia Tech, 2011-2017

Assistant Professor of
Mathematics Education, Department of Mathematics, Virginia Tech, 2007-2011

Assistant Professor of
Mathematics Education, School of Education, Indiana University, 2004-2007

**Honors:**

“Best EdApp
of 2015” awarded to the Learning Transformation Research Group, by Balefire
labs, for the design of *CandyBot*

Adjunct Doctoral Faculty member,
Mathematics Department, Texas State University, 2015-2017

Visiting Scholar,
Department of Teaching & Learning, New York University, 2014

Affiliate Faculty, Department of Teaching &
Learning, Virginia Tech, 2014-present

Early Career Award, from the Association of
Mathematics Teacher Educators, 2013

National Educators Association
Award for Innovative App, $1000 awarded to LTRG, for the design of *CandyFactory*, 2012

XCaliber Certificate of Excellence
from the Center for Innovation in Learning (VT), awarded to LTRG, 2012

Virginia Tech Favorite Faculty Nominee, 2009, 2011

Virginia Tech Math Club Professor of the Year, 2009

UGA Outstanding Graduate Teaching Award, 2001

J50. Kim, S.,
Chang, M., Deater-Deckard, K., Evans, M., Norton, A., & Samur, Y. (2017). Educational Games and
Students' Game Engagement in Elementary School Classroom. *Journal of Computers in Education*.
DOI 10.1007/s40692-017-0095-4

J48. Norton,
A., Wilkins, J. L. M., & *Xu, C. Z. (in press). A
progression of fractions schemes common to Chinese and U.S. classrooms. *Journal for Research in Mathematics
Education.*

J47. *Boyce, S., & Norton, A. (2017). Dylan’s units coordination across contexts. *Journal of Mathematical Behavior*, 45,
121-136. http://dx.doi.org/10.1016/j.jmathb.2016.12.009

J46. Lovin, L. A., *Stevens, A., Siegfried, Z., Wilkins, J. L.
M., & Norton, A. (2016). PreK-8 preservice
teachers’ understanding of fractions: An extension of fractions schemes and
operations research. *Journal
of Mathematics Teacher Education*. DOI: 10.1007/s10857-016-9357-8

J45. *Boyce, S., & Norton, A. (2016). Co-construction of fractions schemes and units coordination
structures.* Journal
of Mathematical Behavior, 41, 10-25.*

J44. Norton,
A., *Boyce, S., *Phillips, N., *Anwyll, T., Ulrich,
C., & Wilkins, J. (2015). A written instrument for assessing
students’ units coordination structures. *Journal of Mathematics
Education, 10*(2), 111-136. DOI:
10.12973/mathedu.2015.108a

J43. Norton, A., &
*Boyce, S. (2015). Provoking the construction of a structure for coordinating *n+1* levels of units. *Journal of Mathematical Behavior, 40*,
211-242. doi:10.1016/j.jmathb.2015.10.006

J42. Norton, A.,
*Boyce, S., Ulrich, C., & *Phillips. N. (2015). Students’ units coordination activity: A cross-sectional analysis. *Journal of Mathematical
Behavior, 39*, 51-66.

J41. Chang, M., Evans,
M., Kim, S., Norton, A., & Samur, Y. (2015). Differential effects of learning games on mathematics proficiency.
*Educational Media International, 52*(1), 47-57.* *DOI:* *10.1080/09523987.2015.1005427

J40. Norton, A.,
*Boyce, S., Hatch, J. (2015). Coordinating units at the Candy Depot. *Mathematics Teaching in the
Middle School, 21*(5), 280-287.

J39. Norton,
A. (2015). The wonderful gift of mathematics. *The Mathematics Educator, 24*(1),
3-20.

J38. Chang, M., Evans, M., Kim, S., Norton, A., Deater-Deckard, K., & Samur,
Y. (2015). The
effects of an educational video game on mathematical engagement. *Education and Information Technologies*, 1-15.

J37. Ulrich, C.,
Tillema, E., Hackenberg, A., & Norton, A. (2014). Constructivist model
building: Empirical examples from mathematics education. *Constructivist Foundations, 9*(3),
328-339.

J36. Deater-Deckard,
K., El Mallah, S., Chang, M., Evans, M. A., &
Norton, A. (2014). Student behavioral engagement
during mathematics educational video game instruction with 11-14 year olds.
*International Journal of Child-Computer Interaction, 2, *101-108*.** *DOI:
10.1016/j.ijcci.2014.08.001

J35. Evans, M. A., Walker, M. H., Abel, T. D., McGlynn,
M., & Norton, A. (2014). Evaluating design
patterns for intentional learning in educational video games: Identifying a
common language for interdisciplinary collaborations. *Journal of Applied Instructional Design, 4*(1),
5-20.

J34. Norton,
A., & Deater-Deckard, K. (2014). Mathematics in
mind, brain, and education: A neo-Piagetian approach*. International Journal of Science and Mathematics
Education, 12(3), 647-667.*

J33. Norton, A., Wilkins, J. L. M., Evans, M. A., Deater-Deckard,
K., Balci, O., Chang, M. (2014). Technology helps students transcend
part-whole concepts. *Mathematics
Teaching in the Middle School, **19*(6), 352-359.

J32. Evans, M., Norton, A., Chang, M., Deckard, K., & Balci, O.
(2013). Youth and video games: Exploring the effects of learning,
achievement, and engagement. *Zeitschrift** für Psychologie.**
221(2), 98-106.*

J31. Wilkins,
J. L. M., Norton, A., & *Boyce, S. (2013). Validating a written instrument
for assessing students’ fractions schemes and operations. *The Mathematics Educator, 22*(2), 31-44.

J30. Norton,
A., & *Boyce, S. (2013). A cognitive core for common
state standards. *Journal
for Mathematical Behavior, 32*, 266-279.

J29. Norton,
A., & Wilkins, J. L. M. (2013). Supporting students’ constructions of the
splitting operation. *Cognition
& Instruction, 31*(1), 2-28.

J28. Norton,
A., & Wilkins, J. L. M. (2012). The splitting group.
*Journal for Research in
Mathematics Education, 43*(5), 557-583.

J27. Norton, A., & Kastberg, S. (2012). Learning to pose
cognitively demanding tasks through letter writing. *Journal of
Mathematics Teacher Education, 15*(2), 109-130.

J26. Norton,
A., & *Baldwin, M. (2012). Does 0.999… really equal 1? *The Mathematics Educator, 21* (2), 58-67.

J25. Lovin, L. H., Sanchez, W. B., Leatham,
K. R., Chauvot, J. B., Kastberg,
S. E., & Norton, A. H. (2012). Examining Beliefs and Practices of Self and
Others: Pivotal points for change and growth for mathematics teacher educators,
*Studying Teacher Education: A journal of
self-study of teacher education practices, 8* (4), 51-68.

J24. *Kosko,
K. W., & Norton, A. (2012). Relationships between the process standards:
Processes elicited through letter writing between preservice
teachers and high school mathematics students. *School Science and Mathematics Journal, 112*(6),
340-348.

J23. Wilkins, J. L. M., & Norton, A. (2011). The splitting loope. *Journal for Research in
Mathematics Education, 42*(4), 386-406.

J22. Norton, A., & Wilkins, J.
L. M. (2010). Students’ partitive reasoning. *Journal of Mathematical
Behavior, 29*(4), 181-194.

J21. Norton, A. (2010). Being
radical. *For the
Learning of Mathematics, 30*(3), 22.

J20. Norton, A.,
*McCloskey, A., & *Hudson, R. A. (2011). Prediction assessments: Using
video-based predictions to assess prospective teachers’ knowledge of students’
mathematical thinking. *Journal
of Mathematics Teacher Education, 14*(4), 305-325.

J19. Bachman,
D., Brown, E., & Norton, A. (2010). Chocolate key
cryptography. *Mathematics
Teacher, 104*(2), 100-105.

J18. Norton,
A., & *Rutledge, Z. (2010). Measuring responses to task posing cycles: Mathematical
letter writing between algebra students and pre-service teachers. *The Mathematics Educator, 19*(2),
32-45.

J17. Norton,
A. (2009). Re-solving
the learning paradox: Epistemological and ontological questions for
constructivists. *For
the Learning of Mathematics, 29*(2), 2-7.

J16. Norton,
A., & Wilkins, J. (2009). A quantitative analysis of children’s splitting
operations and fractional schemes. *Journal of Mathematical Behavior, 28*(2/3), 150-161.

J15. Norton,
A. (2009). Eighty-eight thousand, four hundred and eighteen
more ways to fill space. *College Mathematics Journal, 40*(2), 108-112.

J14. *McCloskey, A.,
& Norton, A. (2009). Modeling students’ mathematics using Steffe’s advanced fractions schemes. *Mathematics Teaching in the Middle School,
15*(1), 44-56.

J13. Kastberg, S.,
Norton, A., & Klerlein, J. (2009).
Trusting students. *Mathematics
Teaching in the Middle School, 14*(7), 423-429.

J12. Norton, A., *Rutledge, Z., Hall, K., & Norton, R. (2009).
Mathematical
letter writing: An opportunity for further partnership between high schools and
universities. *Mathematics
Teacher, 103*(5), 340-346.

J11. Norton,
A., & *McCloskey, A. (2008). Teaching experiments and
professional development. *Journal of Mathematics Teacher Education, 11*(4), 285-305.

J10. *Rutledge, Z.,
& Norton, A. (2008). Preservice teachers' mathematical
task posing: An opportunity for coordination of perspectives. *The Mathematics Educator, 18*(1),
31-40.

J9. Norton,
A., & *McCloskey, A. (2008). Modeling students’ mathematics using Steffe’s fractions schemes. *Teaching Children Mathematics, 15*(1), 48-54.

J8. Norton,
A. (2008). Josh’s
operational conjectures: Abductions of a splitting operation and the
construction of new fractional schemes. *Journal for Research in Mathematics
Education, 39*(4), 401-430.

J7. Norton, A., & D’Ambrosio, B. S.
(2008). ZPC and ZPD: Zones of teaching and learning. *Journal for Research in Mathematics Education 39*, 220–246.

J6. Norton,
A. (2006). What’s on your nation’s report card? (pp.
315-319), *Teaching Children Mathematics*
13(6).

J5. Abramovich, S.,
& Norton, A. (2006).* *Equations
with parameters: A locus approach.* Journal of Computers in Mathematics and Science Education, 25(1), 5-28.*

J4. Norton, A. (2003).
Mathematicians’ religious affiliations and professional practices: The case of
Bo. *The Mathematics
Educator, 12*(1).

J3. Norton, A. (2002).
Mathematicians’ religious affiliations and professional practices: The case of
Charles. *The
Mathematics Educator, 11*(2).

J2. Norton, A. (2002).
Mathematicians’ religious affiliations and professional practices: The case of
Joseph. *The Mathematics
Educator, 11*(1).

J1. Abramovich, S.,
& Norton, A. (2000). Technology-enabled pedagogy
as an informal link between finite and infinite concepts in mathematics (pp.
36-41). *The
Mathematics Educator 10(2)*.

**Books:**

B2. Norton, A., & Alibali, A. (Eds.). *Constructing
Number: Merging Perspectives from Psychology and Mathematics Education*, a book in Springer’s
“Research in Mathematics Education” series (J. Cai,
Series Editor).

B1. Hackenberg, A., Norton, A.,
Wright, R. (2016).* Developing Fractions
Knowledge*. London: Sage Publishers.

**Book
Chapters:**

BC7. Norton, A., & Alibali, M. (2018). *Constructing
Number: Merging Perspectives from Psychology and Mathematics Education*. Springer.

BC6. Ulrich, C., &
Norton, A. (2018). *Constructing Number:
Merging Perspectives from Psychology and Mathematics Education*. Springer.

BC5. Alibali,
A., & Norton, A. (2018). *Constructing
Number: Merging Perspectives from Psychology and Mathematics Education*. Springer.

BC4. Norton, A., & Bell, M. A. (2017). Mathematics educational
neuroscience: Promises and challenges. In J. Cai (Ed.), *Compendium for Research in
Mathematics Education*. Reston, VA: National Council of Teachers of
Mathematics.

BC3. *Kosko, K. W., Norton, A., Conn, A., &
San Pedro, J. M. (2010). Letter writing: Providing preservice
teachers with experience in posing appropriate mathematical tasks to high
school students. In J.W. Lott, & J. Luebeck
(Eds.), *Association of Mathematics Teacher Educators Monograph 7:
Mathematics teaching: Putting research into practice at all levels* (pp.
207-224)*.* San Diego, CA: Association of Mathematics Teacher Educators.

BC2. Norton, A., & Hackenberg,
A. J. (2010). Continuing
research on students’ fraction schemes. In L. P. Steffe and J. Olive (Eds.), *Children’s Fractional Knowledge*, (pp.
341-352). New York: Springer.

BC1. Kastberg, S., & Norton, A. (2007). Building a system of rational
numbers. In P. Kloosterman (Ed.), *The National Assessment of Educational
Progress monograph*, (pp. 67-93). Reston, VA: NCTM.

**Papers
in Peer-Reviewed Conference Proceedings:**

P24. Tzur, R., Johnson, H., Norton, A., Davis, A., Wang, X., Ferrara, M, Jorgensen,
C., & Wei, B. (2017). Conception
of number as a composite unit predicts students’ multiplicative reasoning:
Quantitative corroboration of Steffe’s model. In B. Kaur, W. K. Ho, T. L. Toh, &
B. H. Choy (Eds.), *Proceedings of the 41st Conference of the International
Group for the Psychology of Mathematics Education* (Vol. 4, pp. 289-296).
Singapore: PME

P23. Wilkins, J., Norton, A., & Ulrich, K. (2017).
Activating a fourth level of units coordination. *Proceedings of the Thirty-Ninth Annual Meeting of the North American
Chapter of the International Group for the Psychology of Mathematics Education*. Indianapolis,
IN.

P22. Norton, A., & Arnold, R. (2017). Logical implication as the object of mathematical induction.
*Proceedings of the Thirty-Ninth Annual
Meeting of the North American Chapter of the International Group for the
Psychology of Mathematics Education*. Indianapolis, IN.

P21. Arnold, R., & Norton, A. (2017). Mathematical
actions, mathematical objects, and mathematical induction. *Proceedings of the 20 ^{th} annual
conference for Research in Undergraduate Mathematics Education*, San Diego,
CA.

P20. Norton, A. (2016). (Ir)reversibility
in Mathematics. Proceedings
of the Thirty-Eighth Annual Meeting of the North American Chapter of the
International Group for the Psychology of Mathematics Education. Tucson,
AZ: University of Arizona.

P19. *Stephens, A., Lovin,
L. A., Bussi, R., Siegfried, Z., Wilkins, J. L. M.,
& Norton, A. (2015). PreK-8 Preservice
Teachers’ Construction of Fractions Schemes and Operations. *Proceedings of the Thirty-Seventh Annual Meeting of
the North American Chapter of the International Group for the Psychology of
Mathematics Education*. Lansing, MI: Michigan State University.

P18. Jones, R., Balci, O., & Norton, A. (2015).
A cloud software system for visualization of game-based learning data collected
on mobile devices. In *Proceedings of the 2015 Winter
Simulation Conference* (Huntington Beach, CA, Dec. 6-9). IEEE,
Piscataway, NJ, pp. 1080-1090.

P17. Norton, A. (2015). Neural correlates for
action-object theories. *Proceedings
of the 18 ^{th} annual conference for Research in Undergraduate
Mathematics Education.* Pittsburgh, PA.

P16. Cate, A., Rosen, A., Bell, M. A., Ulrich, C., Roldan,
S., & Norton, A. (2014). Mathematical Ways of Operating: an fMRI Study with
12-year-old participants. *International
conference for the Organization for Human Brain Mapping*, Hamburg, Germany.

P15. Norton, A. (2014). The construction of cohomology as objectified action. *Proceedings of the 17 ^{th} annual
conference for Research in Undergraduate Mathematics Education*. Denver,
CO.

P14. Norton, A., & *Boyce, S. (2013).
Coordinating n+1 levels of units. *Proceedings
of the Thirty-Fifth Annual Meeting of the North American Chapter of the
International Group for the Psychology of Mathematics Education*. Chicago,
IL: University of Chicago.

P13. Norton, A., Wilkins, J. L. M., & *Boyce,
S. (2012). Supporting students’ constructions of fractions schemes: Is there an
app for that, too? *Proceedings of the
Thirty-Fourth Annual Meeting of the North American Chapter of the International
Group for the Psychology of Mathematics Education*. Kalamazoo,
MI: University of Western Michigan.

P12. Evans, M.A., Norton, A., Deater-Deckard,
K. & Chang, M. (2012). The CandyFactory Game: An educational iPad game for middle school algebra-readiness. In *Proceedings of
International Conference of Learning Sciences*. Mahwah, NJ: Lawrence
Erlbaum Associates Inc.

P11. *Boyce, S., & Norton, A. (2012). Examining
the transition from part-whole to partitive
understanding of fractions.* Proceedings
of the Thirty-Third Annual Meeting of the North American Chapter of the
International Group for the Psychology of Mathematics Education.* Kalamazoo, MI: University of
Western Michigan.

P10. Norton, A., & Wilkins, J. L. M. (2011). The genesis of splitting: A
gateway to algebraic reasoning. *Proceedings of the Thirty-Second Annual Meeting of the North American
Chapter of the International Group for the Psychology of Mathematics Education*.
Reno, NV: University of Nevada.

P9. Norton, A., & Wilkins, J. (2010). Mathematical
structures and mental structures. *Proceedings of the Thirty-First Annual Meeting of the North American
Chapter of the International Group for the Psychology of Mathematics Education*.
Columbus, Ohio: Ohio State University.

P8. Norton, A., & Wilkins,
J. (2009). A comparison of part-whole and partitive reasoning with unit and non-unit proper fractions. In
D. Y. White
(Ed.), *Proceedings of the Thirtieth
Annual Meeting of the North American Chapter of the International Group for the
Psychology of Mathematics Education*. Atlanta: Georgia State
University.

P7. Norton, A., & *Rutledge, Z. (2007). Assessing cognitive
activity in the context of letter writing. In T. Lamberg,
L. R. Wiest (Eds.), *Proceedings
of the Twenty-ninth Annual Meeting of the North American Chapter of the International
Group for the Psychology of Mathematics Education*. Stateline
(Lake Tahoe): University of Nevada, Reno.

P6. Chauvot, J., Ice, N., Sanchez, W., Kastberg, S.
E., Leatham, K. R., Lovin,
L. et al. (2007). A collaborative to study beliefs of
mathematics teacher educators. In T. Lamberg,
L. R. Wiest (Eds.), *Proceedings of the Twenty-ninth Annual Meeting of the North American
Chapter of the International Group for the Psychology of Mathematics Education*.
Stateline (Lake Tahoe): University of Nevada, Reno.

P5. Norton, A. (2005). The power of operational
conjectures. In G. M. Lloyd, M. R. Wilson, J. L. M. Wilkins, & S. L.
Behm (Eds.), *Proceedings
of the Twenty-Seventh Annual Meeting of the North American Chapter of the
International Group for the Psychology of Mathematics Education.* [CD-ROM].
Eugene, OR: All Academic.

P4. Abramovich, S., & Norton, A. (2002). Computer-based
graphing calculator as a tool for secondary teachers' re-conceptualization of
pre-calculus. In Goodell, G. (Ed.)*, Proceedings of the 14 ^{th} A nnual International Conference
for the Use of Technology in Mathematics Education*. New York: Addison
Wesley Longman.

P3. Norton, A., & Abramovich, S.
(2001). Bridging transformational geometry and matrix algebra with a
spreadsheet-based tool kit. In Price, P., Willis, D., Davis, N., & Willis
J. (Eds.), *Proceedings of the 2001
Society for Use of Information Technology in Education Conference* (pp.
1379-1384). Norfolk, VA: AACE.

P2. Norton, A. (2000). Student conjectures in geometry. In Fernandez,
M. L. (Ed.), *Proceedings of the
Twenty-Second Annual Meeting of the North American Chapter of the International
Group for the Psychology of Mathematics Education* (pp. 290-299). Columbus,
OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.

P1. Abramovich, S., & Norton, A. (1999). Exploring quadratic-like
sequences with spreadsheets through a toolkit approach. In Goodell,
G. (Ed.)*, Proceedings of the 11 ^{th}
Annual International Conference for the Use of Technology in Mathematics
Education*. New York: Addison Wesley Longman.

**Invited
Papers:**

I7. Norton, A., & Nurnberger-Haag, J.
(in press). Bridging frameworks for understanding numerical cognition
(editorial). *Journal of
Numerical Cognition*.

I6. Norton, A. (2017). Educational Opportunities for Virginia
Mathematics Teachers: Master’s in Education with Concentration in Mathematics
Education. *Virginia
Mathematics Teacher, 43*(2), 37.

I5. Norton, A. (2016). What distinguishes mathematical experience
from other experiences? *Journal of the
Korean Society of Mathematical Education, Series D: Research in Mathematical
Education, 20*(1), 11-19.

I4. Norton, A. (2014). In search of a common
cognitive core for algebra. In L. P. Steffe, K. C. Moore, & L. L.
Hatfield (Eds.), *Epistemic Algebraic
Students: Emerging Models of Students’ Algebraic Knowing* (pp. 127-134).
Laramie, Wyoming: University of Wyoming.

I3. Steffe, L. P., & Norton, A. (2014). Epistemic
algebraic students. In L. P. Steffe, K. C. Moore, & L. L. Hatfield
(Eds.), *Epistemic Algebraic Students:
Emerging Models of Students’ Algebraic Knowing* (pp. 317-323). Laramie,
Wyoming: University of Wyoming.

I2. Balci, O., Deater-Deackard, K., & Norton, A. (2013). *C*hallenges to Teaching
Modeling and Simulation Online. An invited paper published in the *Proceedings of the 2013 Winter Simulation
Conference*, R.
Pasupathy, S.-H. Kim, A. Tolk, R. Hill, and M. E. Kuhl (Eds.).

I1. Norton, A. (2013). Scientific Models for Mathematics Education. *AMTE Newsletter*, Summer
issue.

**Invited
Presentations: **

1)
Norton, A…. (October, 2018). The Nature of
Mathematics and Research. Plenary panel at the *Thirty-Ninth
Annual Meeting of the North American Chapter of the International Group for the
Psychology of Mathematics Education*. Greenville, SC.

2)
Norton, A. (February, 2018). *The
Genesis of Mathematics*. Invited keynote address for the Math Learning
Center in Phoenix, AZ.

3)
Norton, A. (February, 2018). *The
Fraction Learning Progression*. Invited keynote address for the Math
Learning Center in Phoenix, AZ.

4)
Hackenberg, A., & Norton, A.
(October, 2017). *Units Coordination
across Whole Numbers, Fractions, and Early Algebra*. Invited to present
keynote address at the US Math Recovery Conference in Minneapolis, MN.

5)
Norton, A. (October, 2017). *Tasks that Support the Development of Units Coordination*. Invited breakout talk at the US
Math Recovery Conference in Minneapolis, MN.

6)
Norton, A. (February, 2017). *Mathematisation** and
the Development of Fractional Knowledge*.
Keynote address at the East Lothian Numeracy Conference in East Lothian,
Scotland.

7)
Norton, A. (February, 2017). *Making
Learning Stick*. Keynote address at the East Lothian Numeracy Conference in
East Lothian, Scotland.

8)
Norton, A. (October, 2016). Developing Fractions Knowledge at Stages 1
and 2. Workshop the US Math Recovery Conference in Minneapolis, MN.

9)
Norton, A. & Hackernberg, A. (October,
2016). Developing Fractions Knowledge. Keynote address at the US Math Recovery
Conference in Minneapolis, MN.

10) Norton, A. (May, 2016). *The CandyBot App: Fractions and Functions*.
Workshop provided for the University of Georgia.

11) Norton, A. (March, 2016). *Promoting Units Coordination across Contexts*.
Workshop provided for the University of Colorado at Denver.

12) Norton, A. (February,
2016). *Coordinating Units at the Candy
Depot*. Colloquium presented to elementary school teachers at Utah State
University.

13) Norton, A. (February,
2016). *Provoking the Construction of
Units Coordinating Structures*. Colloquium presented to faculty at Utah
State University.

14) Norton, A. (February,
2016). *Mathematics in Action*.
Colloquium presented at Utah Valley University.

15) Norton, A. (February,
2016). *The CandyBot App: Developing
Fractions Knowledge and Algebraic Reasoning by Coordinating and Transforming
Units*. Keynote address for the Utah Association of Mathematics Teacher
Educators in Orem, Utah.

16) Norton, A. (December,
2015). *Supporting Students’ Development
of Fractions Knowledge*. Keynote address for the Tidewater Team for Mathematics Education’s 19th Annual
Mathematics Day, Williamsburg, VA.

17) Norton,
A. (December, 2015). *Tasks for Supporting
Students’ Development of Fractions Knowledge*. Working session at the Tidewater Team for Mathematics Education’s 19th Annual Mathematics Day,
Williamsburg, VA.

18) Norton,
A. (October, 2015). *Tasks for Assessing and
Supporting Students’ Development of Fractional Knowledge*.
Workshop for the US Math Recovery Council, Raleigh, NC.

19) Norton,
A. (October, 2015). *Developing Fractional
Knowledge from Whole Number Knowledge.* Featured talk for
the US Math Recovery Council, Raleigh, NC.

20) Norton,
A. (February, 2015). *The
CandyBot Educational Game: Transforming Units, Units of Units, and Unit
Fractions.* Colloquium for the Math Department at
Texas State.

21) Norton,
A. & Deater-Deckard, K. (November, 2014). *Psychologically and Mathematically Engaging Apps*. Colloquium at New
York University.

22) Norton,
A. (November, 2014). *Mathematics at Hand*.
Colloquium at Rutgers University.

23) Norton,
A. (November, 2014). *Mind, Mathematics,
and Mental Action*. Plenary lecture at the *46 ^{th} Conference of Mathematics Education, *by

24) Norton,
A. (October, 2014). *Coordinating n+1
Levels of Units: There’s an App for That.* Plenary lecture at *The 1 ^{st} Lecture Series on
Mathematics Education*, by

25) Norton,
A. (October 2014). *Three Implications of
Mathematics Educational Neuroscience*. Colloquium at Seoul National
University of Education.

26) Norton,
A., & Ulrich, C. (June, 2014). *Assessing
Program Quality with Noyce Teachers.* Invited workshop at the annual Noyce
Conference in Washington, DC.

27) Norton, A. (March, 2014). *Snapshots in the History of a Research
Program*. Keynote address to the Indiana Mathematics Education Research
Symposium in Indianapolis, IN.

28) Norton, A. (February,
2014). *Mathematics as Objectified Action*.
Invited presentation for the Annual conference for the Association of
Mathematics Teacher Educators in Irvine, CA.

29) Norton, A. (September,
2013). *Mathematics in Action*. Keynote
address to the 32nd Annual Conference
on the Improvement of Mathematics Teaching, University of Purdue
Calumet.

30) Norton, A. (September,
2013). *Fractions in Action*. Invited
presentation, 32nd Annual Conference on
the Improvement of Mathematics Teaching, University of Purdue University
Calumet.

31) Norton, A. (September,
2013). *How Your Mind Makes Fractions: The
Psychology of Mathematical Learning.* Invited colloquium for the Psychology
Department at Virginia Tech.

32) Norton, A. (June, 2013). *In Search of a Common Cognitive Core for
Algebra*. Invited presentation for the Epistemic Algebraic Students
Conference in Athens, GA.

33) Norton, A. (October, 2012).
*The Unreasonable Effectiveness of
Mathematics*. Colloquium for the Mathematics Department at James Madison
University.

34) Norton, A. (October, 2012).
*CandyFactory: A Game that Engages
Students’ Mathematical Operations. *Invited presentation at Apps4VA’s
HACK4EDU Competition in Blacksburg, VA.

35) Norton, A. (October, 2012).
*Connecting Fractions and Algebra*.
Invited presentation at the 2012 VMI STEM Education Conference. Lexington, VA.

36) Norton, A. (May, 2011).
Panelist for the *Mathematical
Education of Teachers* workshop, Mathematical
Sciences Research Institute, Berkeley, CA.

37) Norton, A. (January, 2011).
*The Use of Group Theory in Modeling Students’
Constructions of Fractions*. Colloquium for the Mathematics Education
Student Association, University of Georgia, Athens, GA.

38) Norton, A. (2006,
December). *Teaching Experiments: Learning
from Students*. Invited presentation for EQUATE, District
Session II, Lakota Local School District, Cincinatti,
OH.

39) Galindo, E., Norton, A., Borgioli-Yoder, G., & McCloskey, A. (2005, February). *Making Mathematics Problematic*. Workshop
held at Hoosier Road Elementary School, Fishers, IN.

40) Norton, A. (2004, April). Demented Dimensions. Invited presentation for
the University of Georgia Math Club, Athens, GA.

41) Norton, A. (2003, October).
Advancing Technology and the
Nature of Proof in the Geometry Classroom. Two-day workshop hosted
by the North Metro Collaborative and held at Kennesaw State University,
Kennesaw, GA.

42) Norton, A. (2000, October).
*Student Conjectures in Geometry*,
Colloquium for the Mathematics Education Student Association at UGA, Athens,
GA.

**Other
Presentations:**

1) Norton, A. (December,
2017). Mathematics education at Virginia Tech. Presented to the First Year
Experience class (MATH 1004) at Virginia Tech.

2) El
Mallah, Norton, A., Chang, M., Evans, M, & Deater-Deckard, K. (in review). Group Assessment of Middle
School Students’ Working Memory Using a Mobile Device Game. *29 ^{th} Association for Pschological Science (APS) Annual Convention,* Boston,
MA.

3) Norton, A.
(2017). Tasks for Promoting and Assessing Fractions Knowledge. Virginia Council of
Teachers of Mathematics, Harrisonburg, VA.

4) Norton,
A. (April, 2016). Taking risks and trusting students. Presentation for the SGTA
at Virginia Tech.

5) Ulrich,
C. & Norton, A. (March, 2016). Developing a Writing Habit. Presentation for
the Mathematics Education seminar at Virginia Tech.

6) Boyce,
S., & Norton, A. (November, 2015). Moderating Dylan’s perturbations in
coordinating units across contexts. Poster presented at the* Thirty-Sixth Annual Meeting of the North American Chapter of the
International Group for the Psychology of Mathematics Education*. Lansing,
MI: Michigan State University.

7) Bell, M.A., Norton, A.,
Ulrich, C., Cate, A., & Patton, L.A. (2015, March). Mathematical ways
of operating: An EEG study with 6^{th} graders. *Society for
Research in Child Development*, Philadelphia.

8) Siegfried, J., Stevens, A.,
Lovin, L. A., Norton, A., & Wilkins, J. (February,
2015). Fraction Schemes and Operations: A Data-Driven Course Redesign for
Prospective PreK-8 Teachers. Discussion session for the annual conference for
the Association of Mathematics Teacher Educators, Orlando, FL.

9) Norton, A. (February,
2015). *Building Models of Students’
Mathematics*. Virginia Tech Mathematics Department “Research Days”,
Blacksburg, VA.

10) Norton,
A., & Ulrich, C. (June, 2014). *Assessing
Program Quality with Noyce Teachers.* Poster presented at the annual Noyce
Conference in Washington, DC.

11) Boyce, S., & Norton, A.
(July, 2014). *Modeling Austin’s
Propensity to Coordinate Units*. International Conference for the Psychology
of Mathematics Education, Vancouver, Canada.

12) Grant, M., Irwin, B.,
Barnes, D., Heaton, R., & Norton, A. (April, 2014). *National Council of Teachers of Mathematics (NCTM) and the Journal for
Research in Mathematics Education (JRME) as Resources for Leaders of
Professional Learning*. National Council of Supervisors of Mathematics, New
Orleans, LA.

13) Norton, A. (March, 2014). *Psychological Origins of Mathematics and
their Neural Correlates*. Virginia Tech Mathematics Department “Research
Days”, Blacksburg, VA.

14) Norton, A., & Hatch, J.
(March, 2014). *Learning to Coordinate n+1 Levels of Units: There’s an App for That! *Virginia
Council of Teachers of Mathematics, Harrisonburg, VA.

15) Chang. M., Norton, A.
(February, 2014). *Educational Video Games
and Engagement*. 12^{th} Annual Hawaii International Conference on
Education.

16) Stevens, A., Siegfried, J.,
Lovin, L., Norton, A., & Wilkins, J. (February,
2014). *Fraction Schemes and Operations:
An Extension to PreK-8 Prospective Teachers*. Discussion session for the
annual conference for the Association of Mathematics Teacher Educators, Irvine,
CA.

17) Boyce,
S., & Norton, A. (November, 2013). Fractions Schemes and Whole Number Units
Coordination. Poster presented at the *Thirty-Fourth
Annual Meeting of the North American Chapter of the International Group for the
Psychology of Mathematics Education*. Chicago, IL: University of Chicago.

18) Ulrich,
C., Norton, A., & Arvold, B. (May, 2013). *Teacher Quality as a Retrospective
Assessment of Program Quality.* Poster presented at the annual Noyce
Conference in Washington, DC.

19) Langrall, C., Barnes, D., Izsak,
A., Stinson, D. W., Norton, A., Graham, K., & Speer,
N. (April, 2013). *The Life of a JRME
Manuscript, Through Three Lenses* (April, 2013). Symposium presented at the Research Pre-session of the annual
conference of the National Council of Teachers of Mathematics, Denver, CO.

20) Galindo, E., Amador, J., Norton,
A., & Rapacki, L. (January, 2013). *Implementing an Innovative
Elementary Mathematics and Science Field Experience: The Iterative Model
Building (IMB) Approach**.* A presentation for the
annual conference of the Association of Mathematics Teacher Educators in
Orlando, FL.

21) Norton,
A., Arvold, B., & Plaxco, D. (May, 2012). *Virginia Tech to Virginia Teacher.* Poster presented at the annual
Noyce Conference in Washington, DC.

22) Hackenberg,
A., Norton, A., & Steffe, L. (April, 2012). *Students’ Fractional Knowledge and the Common Core State Standards.*
Paper presented at the Research Pre-session of the annual conference of the
National Council of Teachers of Mathematics, Philadelphia.

23) Boyce, S., & Norton, A.
(July, 2011). *The
Noyce Experience: A Comparative Analysis of Exit Interviews*.
Poster presented at the annual Noyce Conference, Washington, DC.

24) Norton, A. (June, 2011).
Algebraic structures for modeling student construction of rational number. Forty-first
annual meeting of the Jean Piaget Society, Berkeley, CA.

25) Galindo,
E., Norton, A., Amador, J., Hudson, R. & Essex. K. (April,
2011). Assessing and Measuring Change in Reflective Practices of Preservice
Teachers. Paper presented at the Research Pre-session of the annual conference
of the National Council of Teachers of Mathematics, Indianapolis, IN.

26) Norton,
A. (March, 2011). Virginia Teach: Building communities of teachers in
high-needs schools. Virginia Council of Teachers of Mathematics, Richmond, VA.

27) Sanchez, W., Chauvot, J.,
Kastberg, S., Leatham, K., Lovin, L., & Norton, A. (August, 2010).
Navigating Belief Systems of Mathematics Teacher Educators: Making the Private
Public to Inform Practice. Paper presented at the Self-Study
of Teacher Education Practices Castle Conference 2010 (Castle VIII) at Herstmonceux, East Sussex, UK.

28) Norton,
A. (July, 2010). Virginia Teach: Serving Mathematics Students in Need. Poster
presented at the annual Noyce Conference, Washington, DC.

29) Galindo,
E., Heid, M. K., Hudson, R. A., & Norton, A.
(April, 2010). Iterative Model Building: Researching how to prepare quality
teachers and how to measure teacher quality. Paper presented at the annual
meeting of the American Educational Research Association, Denver, CO.

30) Kosko, K. W., & Norton,
A. (October, 2009). How demanding are the NCTM process standards? Paper
presented at the annual conference of the School Science and Mathematics and
Science Association, Reno, NV.

31) Norton,
A. (July, 2009). Virginia Teach: Serving Mathematics Students in Need. Poster
presented at the annual Noyce Conference, Washington, DC.

32) Galindo, E., Norton, A.,
McCloskey, A., Essex, K., Hudson, R. A., & Steffe, L. (April, 2009).
Factors contributing to the preparation of quality mathematics teachers.
Symposium presented at the Research Pre-session of the annual conference of the
National Council of Teachers of Mathematics, Washington, DC.

33) Norton, A., Wilkins, J.,
Hackenberg, A., & Steffe, L. (April, 2009). Testing hypotheses about
students’ operational development of fractions. Symposium presented at the
Research Pre-session of the annual conference of the National Council of
Teachers of Mathematics, Washington, DC.

34) Norton, A., & Kastberg,
S. (February, 2009). Learning to pose cognitively demanding tasks through
letter writing. Paper presented at the Thirteenth annual conference of the
Association of Mathematics Teacher Educators, Orlando, FL.

35) Conn, A., & Norton, A.
(October, 2008). *Eliciting NCTM process
standards through mathematical letter writing*. Paper presented at the
annual conference of the School Science and Mathematics Association,
Raleigh-Durham, NC.

36) McCloskey, A., &
Norton, A. (October, 2008). *Using
video-based predictions to assess pre-service teachers’ knowledge of students’
math and science thinking.* Paper presented at the annual conference of the
School Science and Mathematics Association, Raleigh-Durham, NC.

37) Leatham, K., Norton, A.,
Wilson, P., Peterson, B., & Galindo, E. (April, 2008). *Restructuring field experiences to focus on students’ mathematical
thinking*. Paper presented at the research pre-session of the annual
conference for the National Council of Teachers of Mathematics, Salt Lake City,
UT.

38) Norton, A., Galindo, E.,
Weinberg, A., & Findell, B. (2008, January). *Linking college courses to the secondary school curriculum.* Paper
presented at the annual conference for the Association of Mathematics Teacher
Educators, Tulsa, OK.

39) Lovin, L., Chauvot, J.,
Kastber, S., Norton, A., Leatham, K., & Sanchez, W. (2008, January). *The beliefs of mathematics teacher educators
and the implications for mathematics teacher education.* Paper presented at
the annual conference for the Association of Mathematics Teacher Educators,
Tulsa, OK.

40) Norton, A., McCloskey, A.,
& Ellison, D. (2007, March). *Gaining
Insight into Students’ Development of Fractions Concepts*. Paper presented
at the annual conference for the National Council of Teachers of Mathematics,
Atlanta, GA.

41) Norton, A. (2007,
February). *Fractions Recovery
Interventions*. Invited presentation for the Extended Learning Session of
the 2006 Summer Academy for School Psychologists (SASP): Critical Skills for
Tiered Systems of Prevention and Intervention, Indianapolis, IN.

42) McCloskey, A., &
Norton, A. (2006, April). *Fractions
Recovery Triads*. Paper presented at the annual Mathematics Recovery
conference, Denver, CO.

43) Norton, A. (2005, April). *Eliciting Student Conjectures*. Paper
presented at the research pre-session of the annual conference for the National
Council of Teachers of Mathematics, Anaheim, CA.

44) Kehle, P., Maki, D., Norton, A.,
& Nowlin, D. (2005). *Design and implementation of linking courses: Connecting college
mathematics with high school mathematics for pre-service teachers*. Paper
presented at the Joint AMS-MAA Annual Meeting, Atlanta, GA.

45) Norton, A. (2001, March). *Psychological Models of Students’
Mathematical Conjectures*, 1^{st} Annual Georgia Graduate
Interdisciplinary Conference, Athens, GA.

46) Norton, A., &
Abramovich, S. (2000, November). Fractals, matrices and spreadsheets,

47) International Conference
for the Use of Technology in Mathematics Education, Atlanta, GA.

48) Norton, A. (2000, October).
*Student conjectures in geometry*,
North American Chapter of the Psychology of Mathematics Education, Tuscon, AZ.

49) Norton, A., &
Abramovich, S. (1999, December). *Approaching
the concept of limit through the use of technology*, Asian Technology
Conference in Mathematics, Zhangzhou, China.

50) Norton, A., &
Abramovich, S. (1999, October). *Technology-enabled
pedagogy as an informal link between finite and infinite concepts in secondary
mathematics*, North Carolina's Conference of Teachers of Mathematics,
Greensboro, NC.

**Discussant
**

- Norton, A., Izsak, Beckmann, Hackenberg,
& Simon (April, 2016).
*New Research on Extending Multiplicative Relationships beyond Whole Numbers.*NCTM Research Conference, San Francisco. - Galindo, E., Amador,
J., Hudson, R., Weiland, I., Lee, M. Y., Tsegai, S. K., & Yang, K. J. (April, 2013)
*Reflecting ability and noticing students’ thinking: What does it take?*Symposium presented at the Research Pre-session of the annual conference of the National Council of Teachers of Mathematics, Denver, CO. - Galindo, E., Amador,
J., Lee, M. Y., Tsegai, S. K., & Yang, K. J.
(April, 2012).
*Studying Reflection and Students' Thinking: Effect on Teaching Quality*. Symposium presented at the Research Pre-session of the annual conference of the National Council of Teachers of Mathematics, Philadelphia, PA.

**Software:**

·
iOS apps developed by
the Learning Transformation Research Group (ltrg.centers.vt.edu) at Virginia
Tech

o *CandyFactory Educational Game* (Aslan, Norton, Balci, 2011)

§ with support from ISCE
@ Virginia Tech

§ 271k downloads (as
of November, 2017)

§ “Innovative App
Award” from the National Educators Association

o *CandyFactory Educational Game for iPad *(Aslan, Norton, Balci,
2012)

§ with support from NSF

§ 113k downloads

§ *“TopRated App” awarded by Balefire
Labs, in 2014*

o *CandyDepot Educational Game *(Aslan, Norton, Balci, 2013)

§ with support from NSF

§ 81k downloads

o *CandyBot** Educational** Game *(Aslan, Norton,
Boyce, Balci, 2015)

§ with support from NSF

§ 80k downloads

§ *“Best EdApp of 2015”
awarded by Balefire Labs*

o CandyDepot 2.0
Educational iPad Game (Jin, Norton, Balci, & Aslan, 2017)

§ with support from
the US Math Recovery Coucil

§ https://itunes.apple.com/us/app/candydepot/id690027609?ls=1&mt=8

**Grants:**

·
Co-Principal Investigaor
for a $10,000 Virginia Tech ICTAS REU grant, “Developing a Digital Game
Prototype to Support Systems Thinking Education in K12 and Initial Data
Collection and Analysis” (PI Alejandro Salado).

·
Principal
Investigator for a $47,000 grant from the US Math Recovery Council, “Math
Recovery Apps”. Awarded 2017.

·
Co-Principal
Investigator for an $800,000 Robert Noyce Scholarship Phase II grant from NSF,
“*Virginia
Teach*: Phase II” (PI Catherine Ulrich, School of Education, VPI).
Awarded 2013-2018.

·
Co-Principal
Investigator for a $19,000 grant from the Institute of Society Culture & Environment
(ISCE) at Virginia Tech. “Validating Mathematical Ways of Operating with Neural
Correlates (Math WONC)” (PI Anthony Cate, Psychology, VPI). Awarded 2013.

·
Partner
on a $29,874 4VA grant in collaboration with James Madison University. Fraction
Schemes and Operations: An Extension to Prospective PreK-8 Teachers” (Director LouAnn Lovin, JMU). Awarded
2013-2015.

·
Co-Principal
Investigator for a $2,202,173 NSF DRK-12 grant, “Gateways to Algebraic
Motivation, Engagement and Success (GAMES): Supporting and Assessing Fraction
Proficiency with Game-Based, Mobile Applications and Devices” (PI Michael
Evans, School of Education, VPI). Awarded 2011-2015.

·
$8,000
supplement awarded in 2012 to fund an undergraduate researcher from the
Mathematics Department.

·
Co-Principal
Investigator for a $5,000 Engaged Department grant, proving preservice teachers
with experiences engaging with ELL students (Bettibel
Kreye, School of Education, VPI). Awarded, 2010-2011.

·
Principal
Investigator for a $890,307 Robert Noyce Scholarship grant from NSF, “*Virginia
Teach*: Serving Mathematics Students in Need.” Awarded 2008-2015.

·
Co-Principle
Investigator for a $900,388 DRK-12 grant from NSF, “Untangling Mathematical KnoTSS
(Knowledge for Teaching Secondary School)” (PI Rebecca McGraw, UAZ). Awarded
2008-2011.

·
Co-Principal
Investigator for a $311,650 MSP Grant from the State of Virginia, implementing
a professional development program for all middle school mathematics teachers
in Montgomery County (PI Jesse Wilkins, School of Education, VPI). Awarded
2008-2009.

·
Co-Principal
Investigator for a $1,499,884 DRK-12 grant from NSF, Iterative Model Building,
studying restructuring of early field experiences for elementary preservice
teachers (PI Enrique Galindo, IUB). Awarded 2007-2012.

·
Co-Principal
Investigator for *The Mathematics
Education Training Program for Korean Secondary Level School Teachers*,
a $100,000 professional development grant from the Seoul Metropolitan Office of
Education (Co-PI Enrique Galindo, IUB). Awarded Summer,
2007.

·
Co-Principal
Investigator for a $499,987 Robert Noyce Scholarship Grant from NSF, *Deepening the Pool*,
providing scholarships in order to recruit future secondary math teachers for
high-need schools in Indiana (PI Diana Lambdin, IUB). Awarded 2006-2009.

·
AT&T
Fellow, receiving a $19,000 *Implementing Innovation
Grant* to support pre-service mathematics teachers’ development of
web-based teaching tools, Awarded 2006-2007.

·
Principal
Investigator for a $40,000 Proffitt Grant supporting a two-year *Fractions Recovery Triads* project, a
professional development study for in-service elementary schools teachers using
teaching experiments, Awarded 2005-2007.

·
Proffitt Fellow, receiving a $10,000 award to design the *Fraction Recovery Triads* project,
Awarded Summer 2005.

·
Recipient of a $1,500 Campus Writing Program, Summer
Writing-Teaching Grant to support pre-service teachers’ production of
professional web pages, Awarded 2005-2006.

**Consulting:**

·
Mathematics education consultant for NSF-funded Career
grant, *CAREER: Investigating Differentiated Instruction and
Relationships Between Rational Number Knowledge and Algebraic Reasoning in
Middle School* (PI Amy
Hackenberg, Indiana University), 2013-2018

·
Advisory board member for NSF-funded REAL project, *Investigating Proportional Relationships
from Two Perspectives* (PI Andrew Izsak,
University of Georgia), 2014-2017

·
Advisory board member for NSF-funded DRK-12 project, *Adaptive Pedagogy for Elementary Teachers:
Supporting Students’ Transition from Elementary to Middle School Mathematics*
(PI Ron Tzur, University of Colorado-Denver)

·
Educational consultant for Amplify Education, Inc.,
2014-2015.

- Designed professional development modules
aligned with 3
^{rd}grade Common Core State Standards for Mathematics. - Created frameworks for designed and assessing
professional development with regard to instruction aligned with Common
Core Standards for Mathematics.

·
Educational consultant for Scholastic, evaluating *Fractions Nation* curricular materials,
2012

·
Co-Academic
Director for *The Mathematics
Education Training Program for Korean Secondary Level School Teachers*,
an $85,000 professional development grant from the Seoul Metropolitan Office of
Education, Awarded Summer, 2006.

·
Mathematics
education consultant for Encyclopedia Britannica, 2004

**Doctoral Committees:**

Daniel
Cheshire (committee member), PhD, Texas State University, 2017

Nicora Placa (committee
member), PhD, NYU, 2016

Le Thi
Tran (Primary thesis examiner), PhD, Southern Cross University (Australia),
2016

Serdar Aslan (committee
member), PhD (Computer Science) Virginia Tech, 2016

David Plaxco (committee
member), PhD Virginia Tech, 2015

Current position, Postdoc, University of Oklahoma

Steven Boyce (advisor), PhD
Virginia Tech, 2014

Current position, Assistant Professor, Portland State
University

Jean Mistele
(committee member), PhD Virginia Tech, 2013

Current position, Assistant Professor, Radford University

Beth MacDonald (committee member),
PhD Virginia Tech, 2013

Current position, Assistant Professor, Utah State
University

Alexis
Johnston (committee member), PhD Virginia Tech, 2012

Current position: Assistant
Professor, James Madison University

Jonathan Schulz (committee
member), EdD Virginia Tech, 2011

Current position, Math Supervisor,
Montgomery County, VA

Karl
Kosko (committee member), PhD Virginia Tech, 2010

Current position: Assistant
Professor, Kent State University

Bettibel Kreye (committee member), EdD
Virginia Tech, 2009

Current position: Clinical faculty,
Virginia Tech

Stephanie
Behm (committee member), PhD Virginia Tech 2008

Current position: Assistant
Professor, Georgia State

Andrea
McCloskey (committee member), PhD Indiana University, 2007

Current position, Assistant
professor, Penn State

Paula
Stickles (committee member), PhD Indiana University, 2006

Current position, Assistant
professor, Millikin University

Crystal
Walcott (committee member), PhD Indiana University, 2006

Current position, Assistant Professor,
IUPUI

Joyce Xu
(committee member), PhD (School of Education), expected in 2018

Rachel Keller (committee
member), PhD (School of Education), Virginia Tech, expected, 2018

Daniel Chesire
(committee member), PhD, Texas State University, expected 2017

Karen Zwanch
(committee member), PhD (School of Education), expected 2018

Ahsan Chowdhury
(advisor), PhD, Virginia Tech, expected 2020

**Masters Thesis Committees at Virginia Tech:**

Steven Boyce, Mathematics, 2010

David Plaxco, Mathematics, 2011

Serdar Aslan,
Computer Science, 2011

Bradley Shapiro, Mathematics, 2009

Shareen El Mallah,
Psychology, 2015

Robert Jones, Computer Science, 2014

Congwu Tao, Computer Science, 2016

Nathan Phillips (advisor), MS, expected 2018

Tiancheng Ying, Computer Science, expected 2019

**Teaching:**

**Virginia Tech**

MATH 1614 Mathematics for Elementary School Teachers
I

MATH 3034 Introduction to Proofs

MATH 4044 History of Mathematics

MATH 4625-26 Mathematics for Secondary School
Teachers I & II

MATH 4664 Senior Seminar in
Mathematics Education

MATH 3624 Early Field Experience for Mathematics
Teachers

MATH 5984 Mathematical Structures and Psychological
Structures

MATH 5624 Modeling Mathematical Knowledge &
Learning

MATH 7994 Graduate Student Seminar

**Indiana
University**

E343 Elementary Mathematics Methods

M302/502 Algebra throughout the Secondary School
Curriculum

M321 Curriculum & Assessment for Secondary School

M422/522 Secondary School Mathematics Methods

M543 Elementary Graduate Certification Program
Mathematics Methods

N517 Advanced Mathematics Teaching Methods for
Secondary School

N716 Scheme Theory & Teaching Experiments

N716 (with Signe Kastberg) Mathematics Education of
Labeled Children

**University of
Georgia**

MATH 1113 Pre-Calculus

EMAT 3410 Mathematics Teaching & Curriculum,
pre-K-5

EMAT 4550 Contemporary School Mathematics

Secondary School Mathematics Student Teaching
supervision

**Loganville
High School**

Math Teacher (Algebra I, II, III; Trigonometry),
2000-2001

**Georgia’s
Governor’s Honors Program**

Math Instructor, 1998-2000, 2003

**University Committees:**

**Virginia
Tech**

Pre-tenure Review Committees (3), Mathematics
Department, 2013, 2015

Instructor Evaluation Committee, Mathematics
Department, 2014-2015

Neuroscience Search Committee, Psychology Department,
2013-2014

Personnel Committee, Mathematics Department,
2012-2014, 2015-2016

Instructor Affairs Committee, Mathematics Department,
2012-2014, 2015-2016

Instructor Evaluation Committee, Mathematics
Department, 2014-2015

Mathematics Education Search Committee, School of Education,
2011-2012

Mentor for two tenure-track faculty in the
Mathematics Department

Chair, Mathematics Education Committee, Math
Department, 2009-present

Chair, Mathematics
Education Satellite Search Committee, Math Department, 2010-2011, 2012-2013

Graduate Program Committee, Mathematics Department, 2010-present

Undergraduate Program Committee, Mathematics
Department, 2008-2010

Colloquium Committee, Mathematics Department,
2007-2008

Neuroscience Interest Group member, 2008-present

Evaluator of Comprehensive Exams for the MAEd program, 2008-present

Coordinator for Departmental Outreach, Department of
Mathematics, 2016-2017

Steering Committee member for the College of Science
Faculty Association, 2016-2019

Chair:
2017-2018

**Indiana
University**

Mathematics Education
Representative for the Secondary Education Council, 2004-2007

School of Education Student
Recruitment, Admissions, and Financial Aid Committee, 2006-2007

School of Education
Grievance Committee, 2005-2007

Junior Faculty
Representative for the Curriculum & Instruction Annual Review Committee,
2007

Mathematics Education
Social Committee, 2005-2007

Residential Fellow for the
Forest Hall Education Committee, 2005-2007

Learning Sciences Search
Committee (3 searches), 2006-2007

Mathematics Education Search
Committee, Department of Curriculum & Instruction, 2006-2007

School of Education
Dissertation Award Committee, 2006

Reader for the School of
Education Graduation, 2006

**Professional Service:**

Steering Committee member
for the North American Chapter of the International Group for the Psychology of
Mathematics Education, 2013-2016

Committee Chair: 2014-2015

Oversaw the transition of the organization to a 501(c)3 non-profit corporation

Organized conference planning subcommittees for 2015,
2016, and 2017

Editorial
Panelist, *Journal for Research in
Mathematics Education*, 2011-2014

Panel Chair, 2013-2014

Led search for new JRME editor

Led semi-annual panel meetings

Reviewed 1-2 manuscripts per month

Guest
Editor, *Journal for Research in
Mathematics Education,* 2013, 2014, 2015, 2016

Lead
Guest Editor (with Julie Nurnberger-Haag), special
issue of the *Journal of Numerical
Cognition*, 2016

Editorial
Board, *Journal of Mathematics Education*,
2015-present

Principal
Reviewer for the Institute of Educational Studies (US Dept. of Education):
2012-2015

Reviewed 8-16 grant
proposals per year

Rated 20-50 proposals per
year

Reviewer for International
Conference for the Psychology of Mathematics Education, 2014-2016

Reviewer for Research in
Undergraduate Mathematics Education conference and proceedings, 2013-2014

Reviewer
for NCTM’s *Compendium
for Research in Mathematics Education, *2014-2015.

External Reviewer for
Tenure and Promotion, 2011 (1 case), 2012 (1 case), 2013 (1 case), 2015 (1
case), 2017 (1 case)

Reviewer
for the following journals:

*Asian Pacific
Education Review *

*Cognition
& Instruction *

*Constructivist
Foundations*

*Early
Education and Development*

*For the
Learning of Mathematics *

*Journal of
Mathematical Behavior *

*Journal of
Mathematics Teacher Education, 2014*

*Journal for
Research in Mathematics Education, 2014 *

*Mathematical
Thinking and Learning *

*Proceedings
of PME-NA*

*The
Mathematics Educator *

*The
Mathematics Teacher*

*Teaching
Children Mathematics *

*Virginia
Mathematics Teacher*

Reviewer
for NSF proposals: 2009, 2011

Organizer for the
“Explorations of Math and Art through Tessellations” component of the *Women in Math Career Day*, 2008 &
2009

Volunteer in local schools

Price’s Fork Elementary
School (Blacksburg, VA), 2011-2015

Chess Team Coach, 2012-2014

Shawsville Middle School
(Riner, VA), 2011

Blacksburg Middle School
(Blacksburg, VA), 2008-2011

The Harmony School
(Bloomington, IN), 2004-2007

Bloomington High School
South (Bloomington, IN), 2004-2007