Meixia Ding, Ph.D.
Meixia Ding, Ph.D.
Associate Professor of Mathematics Education
Teaching & Learning

Ritter Hall 436
1301 Cecil B. Moore Ave.
Philadelphia, PA 19122
phone: (215) 204-6139

  • Ph.D., Texas A&M University, Mathematics Education
  • M.S., Nanjing University, China, Studies of Chinese Classical Documents
Areas of Professional Interest
  • Early algebra
  • Textbook analysis
  • Effective teaching and teacher knowledge
  • Cross-cultural studies
Recent Scholarship


Current Funded Project:

2014 - 2019 (Project Investigator). CAREER: Algebraic knowledge for teaching in elementary school: A cross-cultural perspective.  National Science Foundation (NSF), Faculty Early Career Development (CAREER). $588,865.

Project website:

Peer Reviewed Journal Articles:

Ding, M. (2016).  Developing preservice elementary teachers’ specialized content knowledge for teaching fundamental mathematical ideas: The case of associative property. International Journal of STEM Education, 3(9), 1-19. doi: 10.1186/s40594-016-0041-4. 

Ding, M. (2016). Opportunities to learn: Inverse operations in U.S. and Chinese elementary mathematics textbooks. Mathematical Thinking and Learning, 18 (1), 45-68.  doi: 10.1080/10986065.2016.1107819

Cai, J., & Ding, M. (2015). On mathematical understanding: Perspectives of Chinese expert teachers. Journal of Mathematics Teacher Education. doI: 10.1007/s10857-015-9325-8

Knoell, C., & Strawhecker, J., Montgomery, D., & Ding, M. (Winter 2014-2015). Perceptions of elementary preservice teachers’ mathematical knowledge and number sense. Eastern Education Journal, 43(1), 26-41.

Ding, M., & Li, X. (2014). Transition from concrete to abstract representations: The distributive property in a Chinese textbook series. Educational Studies in Mathematics. doi: 10.1007/s10649-014-9558-y

Ding, M., & Li, X. (2014). Facilitating and direct guidance in student-centered classrooms: Addressing “lines or pieces” difficulty. Mathematics Education Research Journal. doi: 10.1007/s13394-013-0095-2.

Cai, J., Ding, M, & Wang, T. (2014). Teaching effectively and coherently: How do Chinese and U.S. teachers view and achieve instructional coherence in the mathematics classroom? Educational Studies in Mathematics, 85, 265-280. doi:10.1007/s10649-013-9513-3

Ding, M., Li, X., & Capraro, M. (2013). Preservice elementary teachers’ knowledge for teaching the associative property: A preliminary analysis. Journal of Mathematical Behavior, 32, 36–52.

Ding, M., & Carlson, M. A. (2013). Elementary teachers’ learning to construct high quality mathematics lesson plans: A use of IES recommendations. The Elementary School Journal, 113(3), 359–385

Ding, M., Heaton, R., & GHartman, D. (2012). Teaching middle level students to generalize: From implicit to explicit. Investigations in Mathematics Learning, 5(2), 1443.

Ding, M., Li. X., Capraro, M. M., & Capraro, R. M. (2012). Supporting meaningful initial learning of the associative property: Cross-cultural differences in textbook presentations.International Journal for Studies in Mathematics Education, 5(1), 114-130.

Ding, M., Li, X., Capraro, M. M., & Kulm, G. (2011). A case study of teacher responses to a doubling error and difficulty in learning equivalent fractions.Investigations in Mathematics Learning, 4(2), 42-73.

Mathews, M., & Ding, M. (2011).Common mathematical errors of preservice elementary teachers in an undergraduate mathematics course for Teachers. Mathematics and Computer Education, 45(3), 186-196.

Ding, M., & Li, X. (2010). A comparative analysis of the distributive property in the US and Chinese elementary mathematics textbooks. Cognition and Instruction, 28, 146-180.

Ding, M., Li, Y., Li, X., & Kulm, G. (2010). Chinese teachers’ attributions and management strategies for student classroom misbehaviors. Asia Pacific Journal of Education, 30, 321-337.

Li, Y., Li., X., & Ding, M. (2009). Does class size reduction necessarily lead to student achievement improvement? For the Learning of Mathematics, 29(1), 26-27.

Ding, M., Li, Y., Li, X., & Kulm, G. (2008). Chinese teachers' perceptions of students' classroom misbehaviors. Educational Psychology, 28, 305-324.

Li, X., Ding M., Capraro, M. M., & Capraro, R. M. (2008). Sources of differences in children's understandings of mathematical equality: Comparative analysis of teacher guides and student texts in China and in the United States. Cognition and Instruction, 26, 195-217.

Ding, M., Li, X., Piccolo, D., & Kulm, G. (2007). Teacher interventions in cooperative-learning mathematics classes. Journal of Educational Research, 100,162-175.

Capraro, M. M., Ding, M., Matteson, S., Li, X., & Capraro, R. M. (2007). Representational implications for understanding equivalence. School Science and Mathematics, 107, 86-88.

Capraro, R. M., Capraro, M. M., Ding, M., & Li, X. (2007). Thirty years of research: Interpretations of the equal sign in China and the USA. Psychological Reports, 101, 784-786.

Book Chapters/Proceedings:

Ding, M., Li, Y., Li, X., & Gu, J. (in press). Specialized content knowledge for teaching beyond rule: The case of transforming equivalent fractions. In Y. Li & S. Li (Eds.) Mathematics teaching & teachers’ knowledge in the context of curriculum reform (in Chinese). Beijing Normal University Press.

Ding, M. (in press).Teaching fundamental mathematical ideas to special needs students. In C. R. Reynolds, K. J. Vannest, & E. Fletcher-Janzen (Eds.), Encyclopedia of special education: A reference for the education of children, adolescents, and adults with disabilities and other exceptional individuals (4th ed.). Hoboken, NJ: John Wiley and Sons.

Ding, M. (2014). Early algebra in Chinese elementary mathematics textbooks: The case of inverse relations. In B. Sriraman, J. Cai, K. Lee, L. Fan, Y. Shimuzu, L. C. Sam, & K. Subramanium (Eds.), The first sourcebook on Asian research in mathematics education: China, Korea, Singapore, Japan, Malaysia, & India. Charlotte, NC: Information Age Publishing.

Ding, M., Li, Y., Li., X, & Gu, J. (2013). Knowing and understanding instructional mathematics content through intensive studies of textbooks. In Y. Li, & R. Huang (Eds.), How Chinese teach mathematics and improve teaching (pp. 66–82). New York: Routledge.

Cai, J., Ding, M., & Wang, T. (2012). Instructional coherence in the mathematics classroom: A cross-national study. In Van Zoest, L. R., Lo, J.-J., & Kratky, J. L. (Eds.), Proceedings of the 34th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA, pp. 861–864). Kalamazoo, MI: Western Michigan University.

Li., Y., Kulm, G., Huang, R., & Ding, M. (2009). On the quality of mathematics lesson: Do elementary mathematics teachers have similar views as students and their school? In J. Cai, G. Kaiser, R. Perry, & N. Wong (Eds.), Effective mathematics teaching from teachers’ perspectives: National and international studies (pp. 219–236). Rotterdam, The Netherlands: Sense.

Ding, M. (2008). Teacher knowledge necessary to address student errors and difficulties about equivalent fractions. In G. Kulm (Ed.), Teacher knowledge and practice in middle grades mathematics (pp. 147–171). Rotterdam, The Netherlands: Sense.