### Publications

- Baker, K., Jessup, N. A., Jacobs, V. R., Empson, S. B., & Case, J. (2020). Productive struggle in action.
*Mathematics Teacher: Learning and Teaching PK–12*,*113(*5), 361–367. - Empson, S. B., Jacobs, V. R., Jessup, N., Hewitt, A., Pynes, D., & Krause, G. R. (2020). Unit fractions as superheroes for fraction instruction.
*Mathematics Teacher: Learning and Teaching PK–12*,*113*(4), 278-286. - Pynes, D., Empson, S., & Jacobs, V. (2020). Supporting Teachers in the Development of Noticing Children’s Mathematical Thinking with a Web-based Tool. In H. Borko & D. Potari (Eds.),
*Proceedings**of the International Committee on Mathematical Instruction (ICMI) Study 25: Teachers of mathematics working and**learning in collaborative groups*(pp. 676–683). Lisbon, Portugal. - Jacobs, V. R., Empson, S. B., Jessup, N. A., & Krause, G. (2019). The many faces of “not enough time.” In S. Otten, A. G., Candela, Z. de Araujo, C. Haines, & C. Munter (Eds.),
*Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(pp. 611–612). St. Louis, MO: University of Missouri. - Jacobs, V. R., Empson, S. B., Pynes, D., Hewitt, A., Jessup, N., & Krause, G. (2019). The responsive teaching in elementary mathematics project. In P. Sztajn & P. H. Wilson (Eds.),
*Designing professional development for mathematics learning trajectories*(pp. 75–103). New York: Teachers College Press. - Jacobs, V. R., Empson, S. B., Jessup, N. A., & Baker, K. (2019). Follow-up conversations: Inside or outside of children’s strategy details? In A. Redmond-Sanogo, and J. Cribbs, (Eds.),
*Proceedings of the 46th Annual Meeting of the Research**Council on Mathematics Learning*(pp. 148–155). Charlotte, NC. - Hewitt, A. (2018). Components of whole-class discussions in elementary school classrooms. In T.E. Hodges, G. J. Roy, & A. M. Tyminski, (Eds.),
*Proceedings of the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(p. 446). Greenville, SC: University of South Carolina & Clemson University. - Jessup, N. (2018). Framing elementary school teachers’ considerations when engaging with their own student written work. In T.E. Hodges, G. J. Roy, & A. M. Tyminski, (Eds.),
*Proceedings of the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(pp. 310–317). Greenville, SC: University of South Carolina & Clemson University. - Krause, G., Empson, S., & Jacobs, V. (2017, October). Teachers’ number choices for equal sharing problems. In E. Galindo, & J. Newton (Eds.),
*Proceedings of the Thirty-Nineth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(p. 1270). Indianapolis, IN: Hoosier Association of Mathematics Teacher Educators. - Jacobs, V. R., & Spangler, D. A. (2017). Research on core practices in K–12 mathematics teaching. In J. Cai (Ed.),
*Compendium for research in mathematics education*(pp. 766–792)*.*Reston, VA: National Council of Teachers of Mathematics. - Krause, G., Empson, S. B., Pynes, D., & Jacobs, V. R. (2016, November). Teachers’ knowledge of children’s strategies for equal sharing. In M. B. Wood, E. E. Turner, M. Civil, & J. A. Eli (Eds.),
*Proceedings of the Thirty-Eighth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education* - Pynes, D., Empson, S. B., & Jacobs, V. R. (2016, November). Teachers’ self-facilitated inquiry in noticing children’s thinking. In M. B. Wood, E. E. Turner, M. Civil, & J. A. Eli (Eds.),
*Proceedings of the Thirty-Eighth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(p. 439). Tucson, AZ: University of Arizona. - Jacobs, V. R., & Empson, S. B. (2016). Responding to children’s mathematical thinking in the moment: An emerging framework of teaching moves.
*ZDM–The International Journal on Mathematics Education, 48*(1–2), 185–197. - Jessup, N., Hewitt, A., Jacobs, V., & Empson, S. (2015, November). Understanding elementary school teachers’ perspectives on children’s strategies for equal sharing problems. In T. G. Bartell, K. N. Bieda, R. T. Putnam, K. Bradfield, & H. Dominguez (Eds.),
*Proceedings of the thirty-seventh annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(p. 1000). East Lansing: Michigan State University.

### Presentations

- Jacobs, V. R., Empson, S. B., & Case, J. (2020, April).
*New uses of equations to explore fraction relationships*. Presentation at the annual meeting of the National Council of Teachers of Mathematics, Chicago, IL. (Conference canceled) - Empson, S. B., Quinn, C., & Lindfors-Navarro, H. (2019, December).
*Equations to explore fraction relationships.*Presentation at the 2019 annual conference of the Missouri Council of Teachers of Mathematics, Columbia, MO. - Jacobs, V. (2019, November).
*They’ve given the correct answer! Now what?*Featured Speaker presentation at the 2019 annual meeting of the North Carolina Council of Teachers of Mathematics, Greensboro, NC. - Jacobs, V., Case, J., & Hewitt, A. (2019, November).
*Equations to explore fraction relationships.*Presentation at the 2019 annual meeting of the North Carolina Council of Teachers of Mathematics, Greensboro, NC. - Jacobs, V. R. (2019, August).
*Unit fractions as superheroes for fraction instruction*. Presentation at the 2019 Math Summit for the Triangle Math Alliance and North Carolina State University, Raleigh, NC. [handout] - Empson, S., & Jacobs, V. (2019, June).
*Exploring children’s early fraction understanding.*Presentation at the 10th Cognitively Guided Instruction (CGI) National Conference, Minneapolis, MN. [handout] - Hewitt, A, & Wilbern, R. (2019, June).
*Selecting strategies for whole-class discussion*. Presentation at the 10th Cognitively Guided Instruction (CGI) National Conference, Minneapolis, MN. - Jacobs, V., Empson, S. & Brown, D. (2019, June).
*Lessons learned about supporting teacher learning.*Presentation at the 10th Cognitively Guided Instruction (CGI) National Conference, Minneapolis, MN. [handout] - Krause, G., & Jessup, N. (2019, June).
*Considerations for selecting fraction story problems*. Presentation at the 10th Cognitively Guided Instruction (CGI) National Conference, Minneapolis, MN. - Pynes, D. (2019, June).
*Exploring**children**’**s**thinking with colleagues*. Presentation at the 10th Cognitively Guided Instruction (CGI) National Conference, Minneapolis, MN. - Hewitt, A. (2019).
*Selecting and sequencing children’s mathematical strategies for whole-class discussions.*Poster presentation at the 2019 UNCG Graduate Research and Creativity Expo, Greensboro, NC. [Award Winner] - Empson, S. B., Franke M. L., & Jacobs, V. R. (2019, April).
*Learning from each other: A conversation around extending 30 years of CGI.*Discussion session at the 2019 annual research conference of the National Council of Teachers of Mathematics, San Diego, CA. - Jessup, N., & Pynes, D. (2019, April).
*Teachers’ use of insider knowledge when noticing children’s thinking.*Poster presentation at the 2019 annual research conference of the National Council of Teachers of Mathematics, San Diego, CA. - Jacobs, V. R., Empson, S. B., & Brown, D. (2019, April). Building teachers’ questioning expertise by calling attention to children’s mathematical ideas. Presentation at the 2019 annual meeting of the National Council of Supervisors of Mathematics, San Diego, CA. [handout]
- Jacobs, V. R., Empson, S. B., Jessup, N. A., & Baker, K. (2019, February-March).
*Follow-up conversations: Inside or outside of children’s strategy details?*Presentation at the 2019 annual conference of the Research Council on Mathematics Learning, Charlotte, NC. - Hewitt, A., & Jacobs, V. (2018, November).
*Selecting and sequencing student strategies for whole-class discussions*. Presentation at the 2018 annual meeting of the North Carolina Council of Teachers of Mathematics, Greensboro, NC. - Jacobs, V. R., & Heredia, S. C. (2018, August).
*Listening to children’s reasoning in math and science*. Presentation at the 2018 Triangle High Five Math Summit, Raleigh, NC. [handout] - Empson, S., Jacobs, V., Case, J., & Brown, D. (2018, April).
*Supporting the development of teachers’ expertise in noticing children’s mathematical thinking.*Presentation at the 2018 annual meeting of the National Council of Supervisors of Mathematics, Washington, DC. [handout] - Jacobs, V., Empson, S., Brown, D., & Case, J. (2018, April).
*Integrating interactive experiences with children into professional development.*Presentation at the 2018 annual meeting of the National Council of Supervisors of Mathematics, Washington, DC. [handout] - Empson, S. B., Jacobs, V. R., Krause, G., Pynes, K. D., Jessup, N., & Hewitt, A. (2018, April)
*An expanded view of the instructional practice of anticipating children’s mathematical thinking.*Presentation at the 2018 annual meeting of the American Educational Research Association, New York, NY. - Jessup, N. (2018, April). Moving beyond identifying the “what” and “how” of teacher noticing to consider “why.” Poster presentation at the Division K Preconference Graduate Poster Session at the 2018 annual meeting of the American Educational Research Association, New York, NY.
- Hewitt, A., Jessup, N., & Jacobs, V. (2017, November).
*Exploring new uses for fraction equations*. Presentation at the 2017 annual meeting of the North Carolina Council of Teachers of Mathematics, Greensboro, NC. - Jacobs, V. (2017, October).
*Linking our questions to children’s strategy details.*Presentation at the 12th annual Art of Teaching conference for the Cotsen Foundation, Long Beach, CA. - Jacobs, V. (2017, October).
*Unit fractions as underappreciated superheroes.*Presentation at the 12th annual Art of Teaching conference for the Cotsen Foundation, Long Beach, CA. - Krause, G., Empson, S., & Jacobs, V. (2017, October).
*Teachers’ number choices for equal sharing problems*. Poster presentation at the 2017 annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Indianapolis, IN. - Jacobs, V. R. (2017, July).
*Noticing children’s mathematical thinking in the complexity of classrooms.*Keynote presentation at the 2017 Meredith K–8 Mathematics Leadership Institute on Continuing Conversations: Leadership for Mathematics Teaching and Learning, Raleigh, NC. - Empson, S., Jacobs, V., Pynes, D., Krause, G., Jessup, N., & Hewitt, A. (2017, June).
*Using equations to develop children’s fraction thinking*. Presentation at the 9th Cognitively Guided Instruction (CGI) National Conference, Seattle, WA. - Hewitt, A., Jessup, N., Krause, G., Pynes, D., Jacobs, V., & Empson, S.
*The untapped power of unit fraction quantities for building children’s fraction understanding.*(2017, June). Presentation at the 9th Cognitively Guided Instruction (CGI) National Conference, Seattle, WA. - Empson, S. B., Jacobs, V., Krause, G., Jessup, N., Hewitt, A., & Pynes, D. (2017, April–May).
*Core practices in elementary school teaching: Anticipating and noticing children’s mathematical thinking.*Roundtable presentation at the 2017 annual meeting of the American Educational Research Association, San Antonio, TX. - Jacobs, V., Empson, S., Pynes, D., Hewitt, A., Jessup, N., & Krause, G. (2017, April–May). Prioritizing practice in professional development: Anticipating, noticing, and questioning children’s mathematical thinking. In J. Richards (chair),
*Exploring varied approaches to supporting responsive teaching in science and mathematics*. Symposium presentation at the 2017 annual meeting of the American Educational Research Association, San Antonio, TX. - Pynes, D., Krause, G., & Empson S. (2017, April).
*The power of unit-fraction quantities for building children’s understanding*. Presentation at the annual meeting of the National Council of Teachers of Mathematics, San Antonio, TX. [handout] - Jacobs, V. (2017, March).
*Professional noticing of children’s mathematical thinking: A hidden skill of teaching.*Invited colloquium for the Department of Mathematics at Texas State University, San Marcos, TX. - Jacobs, V., & Empson, S. (2017, March).
*Exploring the characteristics of one-on-one conversations with children when teachers circulate during problem solving.*Presentation at the Teachers Development Group 2017 Leadership Seminar on Mathematics Professional Development, Portland, OR. - Hewitt, A., Jessup, N., Jacobs, V., & Baker, K. (2017, February).
*Characterizing anticipated conversations: What do teachers plan to ask individual children about their fraction strategies?*Presentation at the 2017 annual meeting of the Association of Mathematics Teacher Educators, Orlando, FL. - Jessup, N., Hewitt, A., & Jacobs, V. (2017, February).
*Making sense of elementary school**teachers’ perspectives on children’s fraction strategies.*Presentation at the 2017 annual meeting of the Association of Mathematics Teacher Educators, Orlando, FL. - Krause, G., Empson, S., Pynes, D., and Jacobs, V. (2016, November).
*Teachers’ knowledge of children’s strategies for equal sharing fraction problems*. Paper presentation at the 2016 annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Tucson, AZ. - Pynes, D., Empson, S., & Jacobs, V. (2016, November).
*Teachers’ self-facilitated inquiry in the practice of noticing children’s mathematical thinking*. Poster presentation at the 2016 annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Tucson, AZ. - Empson, S. (2016, October).
*Using story problems to build children’s understandings of fractions*. Keynote presentation at the 2016 annual meeting of the North Carolina Council of Teachers of Mathematics, Greensboro, NC. - Hewitt, A., Jessup, N., & Jacobs, V. (2016, October).
*The underappreciated power of the unit fraction*. Presentation at the 2016 annual meeting of the North Carolina Council of Teachers of Mathematics, Greensboro, NC. - Empson, S. & Jacobs, V. (2016, March).
*The untapped power of unit-fraction quantities for building children’s understandings.*Keynote presentation at the Teachers Development Group 2016 Leadership Seminar on Mathematics Professional Development, Portland, OR. - Jessup, N. , Hewitt, A., Jacobs, V., & Empson, S. (2015, November).
*Understanding teachers’ perspectives on children’s strategies for equal sharing problems.*Presentation at the 2015 annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, East Lansing, MI. - Jacobs, V. & Empson, S. (2015, June).
*They’ve gotten the right answer! Now what?*Presentation at the 8^{th}Cognitively Guided Instruction (CGI) National Conference, Lawndale, CA. - Hewitt, A., Jessup, N., & Jacobs, V. (2015, June).
*Exploring children’s sharing for equal sharing fraction problems.*Presentation at the 8^{th}Cognitively Guided Instruction (CGI) National Conference, Lawndale, CA. - Jacobs, V. R. (2015, May).
*Research on mathematics teaching.*Presentation at the UCSD/SDSU Mathematics and Science Education Seminar Series 2015, San Diego, CA. - Jacobs, V. R., Empson, S. B., Krause, G., & Pynes, D. (2015, April).
*Responsive teaching with fractions*. Presentation for the research conference of the 2015 annual meeting of the National Council of Teachers of Mathematics, Boston, MA. - Jacobs, V. R., Lamb, L. C., Philipp, R. A., & Empson, S. B. (2015, February).
*The complexity of noticing children’s mathematical thinking.*Presentation for the 2015 annual meeting of the American Association of Colleges for Teacher Education, Atlanta, GA. - Webel, C., Deleeuw, W. W., Empson, S. B., Jacobs, V. R., Land, T., Leatham, K. R., Peterson, B. E., Stockero, S. L., & Van Zoest, L. R. (2015, February).
*Defining and developing teaching practices related to responding to students’ mathematical thinking*. Presentation for the 2015 annual meeting of the Association of Mathematics Teacher Educators, Orlando, FL. - Empson, S.B. & Jacobs, V.R. (2014, November).
*Responsive teaching in elementary mathematics: The case of fractions*. Presentation for the annual regional meeting of the National Council of Teachers of Mathematics, Houston, TX. - Jessup, N., Jacobs, V., & Hewitt, A. (2014, October).
*Fractions through equal sharing*. Presention for the annual meeting of the North Carolina Council of Teachers of Mathematics, Greensboro, NC. - Empson, S. B. (2014, June).
*Thinking about children’s thinking about fractions*. Featured session at the 20^{th}annual meeting of the Texas Regional Collaboratives, Austin, TX.