**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

J55. Salado, A.,
Chowdhury, A., & Norton, A. (in press). Systems thinking and mathematical
problem solving. *School Science and
Mathematics Journal*.

J54. Johnson, A., Siegfried,
Z., Lovin, L. A., Busi, R. P., Wilkins, J. L. M., & Norton, A. (2018).
Promoting sophisticated fractions constructs through instructional changes in a
mathematics course for PreK-8 prospective teachers. *Journal of Mathematics Teacher Education, *1-29. DOI: 10.1007/s10857-018-9415-5

J53. Simon, M., Kara, M., Norton, A., Placa, N. (in press). Fostering construction of
a meaning for multiplication that subsumes whole-number and fraction multiplication:
A study of the learning through activity research program. *Journal
of Mathematical Behavior*.

J52. Wilkins, J. L. M., & Norton, A. (2018). Learning progression
toward a measurement concept of fractions. *International
Journal of STEM Education, 5*(27).

J51. Norton, A. (in
press). Frameworks for modeling students’ mathematics. *Journal of Mathematical Behavior. *

J49. Norton, A., Wilkins, J. L. M., & *Xu, C. Z. (2018). A progression of
fractions schemes common to Chinese and U.S. classrooms. *Journal for Research in Mathematics Education, 49*(2), 210-226. DOI: 10.5951/jresematheduc.49.2.0210

J48.
Lovin, L. A., *Stevens, A., Siegfried, Z., Wilkins, J. L. M., & Norton, A.
(2018). Pre-K-8 prospective teachers’ understanding of fractions: An extension
of fractions schemes and operations research. *Journal of Mathematics Teacher Education, 21*(3), 207-235. DOI: 10.1007/s10857-016-9357-8

J47. 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

J46. *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

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 f**ü**r
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)*.

**Papers
in Review**

1)
Boyce, S., & Norton, A. (in review). Maddie’s units coordinating
across contexts. *Journal of Mathematical Behavior*.

2)
Seok, Y. M., Choi-Koh, S., & Norton, A. (in
review). Examining mathematics anxiety using a brain-based measurement. *The Mathematics Educator.*

3)
Tzur, R. … (in review). Additive and multiplicative
reasoning. *Journal for Research in
Mathematics Education*.

4)
Deater-Deckard, K., El Mallah, S., Zhang, L.,
Norton, A., Chang, M., & Evans, M. (in review). Group assessment of middle
school students’ working memory using a mobile device game. *Cognition & Instruction*.

5)
Evans, M. A., Chang, M., Kim, S., Samur, Y., Norton.
A., Deater-Deckard, K., & Balci, O. (in review). Learning games and student
mathematics proficiency: Investigating differential effects on grade level and
ability. *Educational Technology Research
and Development*.

**Books:**

B2. Norton,
A., & Alibali, A. (Eds.) (in press). *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. (in press). Mathematics in
action. *Constructing Number: Merging
Perspectives from Psychology and Mathematics Education*. Springer.

BC6. Ulrich, C.,
& Norton, A. (in press). Discerning a progression in conceptions of
magnitude during children’s construction of number. *Constructing Number: Merging Perspectives from Psychology and
Mathematics Education*. Springer.

BC5. Alibali, A.,
& Norton, A. (in press). Synergizing research on constructing number:
Themes and prospects. *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:**

P25. Tzur, R., Wei, B., Smith, A., Norton, A., Davis, A., and Johnson,
H. (2018). Same
unit coordination: A conceptual screener for mixed unit coordination and
base-10, place value reasoning. *Proceedings
of the 42 ^{nd} Conference of the International Group for the Psychology
of Mathematics Education*. Sweden.

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:**

I8. Sarama, J., & Norton, A. (2018). Perspectives
on the Nature of Mathematics and Research. *Proceedings of the Fortieth
Annual Meeting of the North American Chapter of the International Group for the
Psychology of Mathematics Education*. Greenville,
SC.

I7. Norton, A., & Nurnberger-Haag, J. (2018). Bridging
frameworks for understanding numerical cognition (editorial). *Journal of Numerical Cognition, 4*(1), 1-8.

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., & Sarama, J. (October, 2018). Perspectives
on the Nature of Mathematics and Research. Plenary panel at the *Fortieth 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) Simon, M. Hackenberg,
A., Norton A. (April, 2018). Engendering Reflective Abstraction of
Fraction and Algebra Concepts. Symposium at the NCTM Research Conference. Washington, DC.

2) Kerrigan, S., Kelly, S.,
Norton, A., & Ulrich, C. (2018). Modeling cognitive demand across
mathematical domains. Poster presented at the* Fortieth Annual** Meeting of the North American Chapter of the
International Group for the Psychology of Mathematics.*

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

4) El Mallah, S., Zhang, L., Norton, A., Chang, M., Evans, M, &
Deater-Deckard, K. (2016). Group Assessment of Middle School Students’ Working
Memory Using a Mobile Device Game. Poster presented at the* 56 ^{th} Annual Meeting of the New England Psychological
Association,* Worcester, MA.

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

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

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

8) Boyce, S., & Norton, A. (November, 2015). Moderating Dylan’s
perturbations in coordinating units across contexts. Poster presented at
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.

9) 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.

10) 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.

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

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

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

14) 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.

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

16) 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.

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

18) 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.

19) 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.

20) 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.

21) 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.

22) 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.

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

24) 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.

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

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

27) 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.

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

29) 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.

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

31) 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.

32) 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.

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

34) 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.

35) 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.

36) 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.

37) 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.

38) 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.

39) 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.

40) 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.

41) 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.

42) 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.

43) 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.

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

45) 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.

46) 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.

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

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

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

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

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

52) 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.

**Interviews with
Media**

·
Radio
interview with WVTF (Blacksburg, VA), February 22, 2018

o
“Will
there be math?” (on math teacher shortages)

·
Zone of
Potential Construction Podcast, September 2016 (re-released May, 2016)

o
“Units
coordination”

o
https://www.aimsedu.org/2017/05/04/episode-34-the-best-of-zpc-dr-andy-norton-on-units-coordination/

·
MathEd Podcast,
Episode 1514, August, 2015

o
Discussion
of *Journal of Mathematical Behavior* article, “Students’ units
coordinating activity: A cross-sectional analysis”

o
https://player.fm/series/math-ed-podcast/episode-1514-anderson-norton

·
WSLS and
WDBJ interviews on CandyFactory app, 2012

**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 Investigator 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:**

·
Consultant for Montclair
State University on their five-year review of the Red Hawk Math Learning
Center, 2018

·
Consultant for NSF-funded
Career grant, *CAREER: Advancing Secondary
Mathematics Teachers’ Quantitative Reasoning*, (PI Kevin Moore, University
of Georgia), 2014-2019.

·
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

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

**Master of Arts in
Education Final Examination Committees:**

** **Megan Louvet, 2018

Brittany McFarlane, 2018

Emma Mehfoud, 2018

Daniel Tavenner, 2018

**Undergraduate Researchers at Virginia Tech:**

Samantha Kelly, Units coordination
scales, Spring 2018

Katherine Wilde and Emily Wright, ICTAS
grant, Spring 2018

**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 (4), Mathematics
Department, 2013, 2015, 2017

Instructor Evaluation Committee, Mathematics
Department, 2014-2015

Neuroscience Search Committee, Psychology
Department, 2013-2014

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

Mathematics Department Executive Committee,
2017-2018

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 and one collegiate faculty member 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, 2018

Lead Guest Editor
(with Julie Nurnberger-Haag), special issue of the *Journal of Numerical Cognition*, 2018. https://jnc.psychopen.eu/issue/view/8

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,
2018

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), 2018 (2 cases)

Successful letters
of nomination for the Edward A. Anderson scholarship ($2,000) from the Virginia
Council of Teachers of Mathematics: Hannah Joyce (2009), India Haun (2011),
Elizabeth Fort (2016), Steven Deshong (2017), Sam Inge (2018)

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 (2018)*

*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