**Anderson Hassell Norton III**

Associate Professor

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:**

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

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:**

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, 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

“Best
EdApp of 2015” awarded by Balefire labs, for the design of *CandyBot*

1)
Norton, A., & Simon, M. (in review). Transformations,
operations, and the Pythagorean theorem. *Mathematical
Thinking and Learning*.

2)
Lovin, L. A., Stevens, A., Siegfried, Z., Wilkins, J.
L. M., & Norton, A. (in review). PreK-8 preservice teachers’ understanding
of fractions: An extension of fractions schemes and operations research. *Journal of Mathematics Teacher Education*.

3)
Cate, A., Norton, A., Ulrich, C., & Bell, M. A. (in
review). The mathematical splitting
operation in 6th grade students: EEG and fMRI investigations. *Developmental Neuropsychology*.

4) Norton,
A., Ulrich, C., Bell, M. A., & Cate, A. (in review). Mathematics at hand. *Educational Psychologist*.

5) 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

6) Norton,
A., Arvold, B., Kuster, G., Ulrich, C., Wilkins, J., Kreye, B., Hagen, S.,
& Wawro, M. (in review). Teacher quality as a retrospective assessment of
program quality. *The Professional
Educator.*

7) 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

8)
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*.

9) Boyce,
S., & Norton, A. (in press). Co-construction of fractions schemes and units
coordination structures.* Journal of Mathematical Behavior*.

10) Norton, A., Wilkins,
J. L. M., & Xu, C. Z. (in review). The construction of fractions across Chinese and American cultures. *Journal for Research in Mathematics
Education.*

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

12) 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

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

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

15) 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.

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

17) 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

18) 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.

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

20) 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.

21) 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.

22) 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.

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

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

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

26) 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.

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

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

29) 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.

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

31) 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.

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

33) Norton, A. (2010).
Being radical. *For the Learning of Mathematics,
30*(3), 23.

34)
Bachman, D., Brown, E., & Norton, A. (2010). Chocolate key
cryptography. *Mathematics Teacher, 104*(2),
100-105.

35)
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.

36)
Norton, A. (2009). Re-solving the learning paradox:
Epistemological and ontological questions for constructivists. *For the Learning of Mathematics, 29*(2),
2-7.

37)
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.

38)
Norton, A. (2009). Eighty-eight thousand, four hundred and eighteen more
ways to fill space. *College Mathematics Journal,
40*(2), 108-112.

39)
McCloskey, A., & Norton, A. (2009). Modeling
students’ mathematics using Steffe’s advanced fractions schemes. *Mathematics Teaching in the Middle School,
15*(1), 44-56.

40)
Kastberg, S., Norton, A., & Klerlein, J. (2009). Trusting students. *Mathematics Teaching in the Middle School,
14*(7), 423-429.

41)
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.

42)
Norton,
A., & McCloskey, A. (2008). Teaching experiments and professional
development. *Journal of Mathematics Teacher Education, 11*(4), 285-305.

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

44)
Norton, A., & McCloskey, A. (2008). Modeling students’ mathematics
using Steffe’s fractions schemes. *Teaching
Children Mathematics, 15*(1), 48-54.

45) 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.

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

47)
Norton, A. (2006). What’s on your nation’s report card? (pp. 315-319), *Teaching Children Mathematics* 13(6).

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

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

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

51)
Norton, A. (2002). Mathematicians’ religious
affiliations and professional practices: The case of Joseph. *The Mathematics Educator, 11*(1).

52)
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:**

·
Hackenberg,
A., Norton, A., Wright, R. (in press).* Developing
Fractions Knowledge*. Sage Publishers.

**Book Chapters:**

·
Norton, A., & Bell, M. A. (in press). Mathematics
educational neuroscience. In J. Cai (Ed.), *First
Compendium for Research in Mathematics Education.* Charlotte, NC:
Information Age Publishing.

·
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.

·
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.

·
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:**

·
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.

·
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.

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

·
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.

·
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.

·
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.

·
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.

·
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.

·
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.

·
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.

·
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.

·
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.

·
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.

·
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.

·
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.

·
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} Annual International Conference
for the Use of Technology in Mathematics Education*. New York: Addison
Wesley Longman.

·
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.

·
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.

·
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:**

- Norton,
A. (2015). What distinguishes mathematical experience from other
experiences?
*Proceedings of the**KSME International Conference on Mathematics Education (Seoul, Korea).* - 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. - 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. - 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.).

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

**Invited Presentations: **

- Norton, A. (February, 2016).
*Coordinating Units at the Candy Depot*. Colloquium presented to pre-service teachers at Utah State University. - Norton, A. (February, 2016).
*Provoking the Construction of Units Coordinating Structures*. Colloquium presented to faculty at Utah State University. - Norton, A. (February, 2016).
*Mathematics in Action*. Colloquium presented at Utah Valley University. - 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. - 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. - 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. - Norton, A. (October, 2015).
*Tasks for Assessing and Supporting Students’ Development of Fractional Knowledge*. Workshop for the US Math Recovery Council, Raleigh, NC. - Norton, A. (October, 2015).
*Developing Fractional Knowledge from Whole Number Knowledge.*Featured talk for the US Math Recovery Council, Raleigh, NC. - Norton, A. (February, 2015).
*The CandyBot Educational Game: Transforming Units, Units of Units, and Unit Fractions.*Colloquium for the Math Department at Texas State. - Norton, A. &
Deater-Deckard, K. (November, 2014).
*Psychologically and Mathematically Engaging Apps*. Colloquium at New York University. - Norton, A. (November, 2014).
*Mathematics at Hand*. Colloquium at Rutgers University. - Norton, A. (November, 2014).
*Mind, Mathematics, and Mental Action*. Plenary lecture at the*46*by^{th}Conference of Mathematics Education,*the Korean Society of Mathematics Educators*, held at Sogang University, Seoul, South Korea. - Norton, A. (October, 2014).
*Coordinating n+1 Levels of Units: There’s an App for That.*Plenary lecture at*The 1*, by^{st}Lecture Series on Mathematics Education*the Korean Society of Mathematics Educators*held at Sogang University, Seoul, South Korea. - Norton, A. (October 2014).
*Three Implications of Mathematics Educational Neuroscience*. Colloquium at Seoul National University of Education. - Norton, A., & Ulrich, C.
(June, 2014).
*Assessing Program Quality with Noyce Teachers.*Invited workshop at the annual Noyce Conference in Washington, DC. - Norton,
A. (March, 2014).
*Snapshots in the History of a Research Program*. Keynote address to the Indiana Mathematics Education Research Symposium in Indianapolis, IN. - Norton,
A. (February, 2014).
*Mathematics as Objectified Action*. Invited presentation for the Annual conference for the Association of Mathematics Teacher Educators in Irvine, CA. - Norton,
A. (September, 2013).
*Mathematics in Action*. Keynote address to the 32nd Annual Conference on the Improvement of Mathematics Teaching, University of Purdue University Calumet. - Norton,
A. (September, 2013).
*Fractions in Action*. Invited presentation, 32nd Annual Conference on the Improvement of Mathematics Teaching, University of Purdue University Calumet. - Norton, A. (September, 2013).
*How Your**Mind Makes Fractions: The Psychology of Mathematical Learning.*Invited colloquium for the Psychology Department at Virginia Tech. - Norton,
A. (June, 2013).
*In Search of a Common Cognitive Core for Algebra*. Invited presentation for the Epistemic Algebraic Students Conference in Athens, GA. - Norton,
A. (October, 2012).
*The Unreasonable Effectiveness of Mathematics*. Colloquium for the Mathematics Department at James Madison University. - Norton,
A. (October, 2012).
*CandyFactory: A Game that Engages Students’ Mathematical Operations.*Invited presentation at Apps4VA’s HACK4EDU Competition in Blacksburg, VA. - Norton,
A. (October, 2012).
*Connecting Fractions and Algebra*. Invited presentation at the 2012 VMI STEM Education Conference. Lexington, VA. - Norton,
A. (May, 2011). Panelist for the
*Mathematical Education of Teachers*workshop, Mathematical Sciences Research Institute, Berkeley, CA. - 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. - Norton, A. (2006, December).
*Teaching Experiments: Learning from Students*. Invited presentation for EQUATE, District Session II, Lakota Local School District, Cincinatti, OH. - Galindo, E., Norton, A., Borgioli-Yoder, G., & McCloskey, A.
(2005, February).
*Making Mathematics Problematic*. Workshop held at Hoosier Road Elementary School, Fishers, IN.

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

·
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.

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

**Other Presentations:**

·
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.

·
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.

- 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.
- Norton,
A. (February, 2015).
*Building Models of Students’ Mathematics*. Virginia Tech Mathematics Department “Research Days”, Blacksburg, VA. - Norton, A., & Ulrich, C.
(June, 2014).
*Assessing Program Quality with Noyce Teachers.*Poster presented at the annual Noyce Conference in Washington, DC. - Boyce,
S., & Norton, A. (July, 2014).
*Modeling Austin’s Propensity to Coordinate Units*. International Conference for the Psychology of Mathematics Education, Vancouver, Canada. - 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. - Norton,
A. (March, 2014).
*Psychological Origins of Mathematics and their Neural Correlates*. Virginia Tech Mathematics Department “Research Days”, Blacksburg, VA. - 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. - Chang.
M., Norton, A. (February, 2014).
*Educational Video Games and Engagement*. 12^{th}Annual Hawaii International Conference on Education. - 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. - 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. - 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. - 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. - 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. - Norton, A., Arvold, B., &
Plaxco, D. (May, 2012).
*Virginia Tech to Virginia Teacher.*Poster presented at the annual Noyce Conference in Washington, DC. - 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. - Boyce, S., & Norton,
A. (July, 2011).
*The Noyce Experience: A Comparative Analysis of Exit Interviews*. Poster presented at the annual Noyce Conference, Washington, DC. - Norton, A. (June, 2011). Algebraic structures for modeling student construction of rational number. Forty-first annual meeting of the Jean Piaget Society, Berkeley, CA.
- 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.
- Norton, A. (March, 2011). Virginia Teach: Building communities of teachers in high-needs schools. Virginia Council of Teachers of Mathematics, Richmond, VA.
- 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.
- Norton, A. (July, 2010). Virginia
Teach: Serving Mathematics Students in Need. Poster presented at the
annual Noyce Conference, Washington, DC.
- 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.
- 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.
- Norton, A. (July, 2009). Virginia
Teach: Serving Mathematics Students in Need. Poster presented at the
annual Noyce Conference, Washington, DC.
- 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.
- 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.
- 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.
- 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. - 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. - 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. - 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. - 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. - 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. - 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. - McCloskey, A., & Norton, A. (2006, April).
*Fractions Recovery Triads*. Paper presented at the annual Mathematics Recovery conference, Denver, CO. - 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. - 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. - Norton,
A. (2001, March).
*Psychological Models of Students’ Mathematical Conjectures*, 1^{st}Annual Georgia Graduate Interdisciplinary Conference, Athens, GA. - Norton, A., & Abramovich, S. (2000, November). Fractals, matrices and spreadsheets,
- International
Conference for the Use of Technology in Mathematics Education, Atlanta,
GA.
- Norton,
A. (2000, October).
*Student conjectures in geometry*, North American Chapter of the Psychology of Mathematics Education, Tuscon, AZ. - Norton,
A., & Abramovich, S. (1999, December).
*Approaching the concept of limit through the use of technology*, Asian Technology Conference in Mathematics, Zhangzhou, China. - 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 **

- 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. - 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.

**Software:**

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

o
*CandyFactory Educational Game*

§
122,000 downloads
(as of Oct 6, 2015)

o
*CandyFactory Educational Game for iPad*

§
70,300
downloads

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

o
*CandyDepot Educational Game *

§
27,900
downloads

o
*CandyBot Educational Game *

§
40,200
downloads

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

**Grants:**

·
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).

·
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.

·
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.

·
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

·
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

·
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)

· Mathematics education consultant for Encyclopedia Brittanica, 2004

**Doctoral Committees:**

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, expected 2013

Current position, Assistant Professor, Radford University

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

Michael Baldwin (committee member), PhD Virginia Tech, expected 2013

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

Joyce Xu (committee member), PhD (School of Education), expected in 2016

Nathan Phillips (advisor), PhD, Virginia Tech, expected 2017

Rachel Keller (committee member), PhD (School of Education), Virginia Tech, expected, 2017

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

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

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

**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

**Teaching:**

**Virginia Tech**

MATH 1614 Mathematics for Elementary School Teachers I

MATH 3034 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

**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

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, 2014-2015

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

Reviewer for
NCTM’s third research handbook: *Second 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)

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 *

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