top of page

Current Research

Early U.S.-China Differences in Math Ability: The Role of Parental Math Support

The aim of this project was to better understand the factors affecting four to five year old's numeracy skills and to provide more information on differences in math skill development and parental influences between U.S. and Chinese children, given the limited research on child math development before formal schooling and on ways parents affect this period of learning. We analyzed the relationships among children's early numeracy skills, parents' math language, the frequency with which children engaged in math activities at home, and parents' knowledge of math development among both U.S. and Chinese families.

Screenshot 2026-02-18 110904_edited.png

Parental Math Anxiety, Home Math Environment and Numeracy

The secondary data analysis examines how parental math anxiety impacts the relationship between home math environment and children’s numeracy among U.S. and Chinese families with four to five year olds. Utilizing self-report inventories and observational measures of math talk during parent-child play sessions, results suggest that math anxiety moderates this relationship, with cultural differences in the frequency of home math activities and math talk.

Exploring Math Curiosity in Elementary Students

This study aims to examine students’ curiosity in a math learning context. Math curiosity is operationalized as voluntary feedback seeking and persistence. Specifically, after solving a math problem, students chose whether to see step-by-step solutions or general explanations to the problem (i.e., feedback seeking) and whether to work on similar problems (persistence). We expect variations in curiosity among school-age students and stronger knowledge among students with stronger curiosity.

For 3rd-4th grade math teachers interested in participating: email codelab@fordham.edu

The Benefits of Decimals, Fractions, and Percentages for Measurement

This study examines people’s preferences for and performances in different rational number notations in metric (i.e., base-10) and imperial (i.e., base-16) measurement contexts. The results revealed that people preferred fractions in non-metric and non-imperial measurement context, also exhibited better performances with decimals in metric measurement context. The results suggested that we benefit from different notations in various measurement contexts

For 5th grade math teachers interested in participating: email codelab@fordham.edu

cyberscooty-blackboard_math.png

Understanding Where Errors Come From: A Novel Approach to Measure Conceptual Knowledge of Decimal Arithmetic

This study examines conceptual knowledge of arithmetic procedures with a novel measure, in the domain of decimal addition. In the novel measure, we asked college students to rate the similarities between the errors on two solved decimal addition problems. Success in this task required participants’ understanding of decimal addition procedures, which would be one important aspect of conceptual knowledge of decimal addition. With this new promising measure, we aim to capture individual and developmental differences in decimal addition conceptual knowledge.

 

For college students interested in earning a $25 gift card for participating: sign up here

Math Strategy Use and Associations with Spatial Skills

This study examines whether spatial skills are associated with strategy preferences in mathematical problem-solving. College students will solve math problems while demonstrating their strategies and complete spatial skills assessments. Our results can help clarify the mechanisms underlying spatial-mathematics relations and inform interventions to improve mathematics achievement.

For college students interested in earning a $25 gift card for participating: sign up here

Publications

Mentee Roles: ✝ Post‑bac, ✲ Undergraduate student ✭ Junior graduate student

Tian, J., Bennett‐Pierre, G., Tavassolie, N., Zhang, X., D'Antonio, E., Sylverne, L., ... & Gunderson, E. A. (2025). A month‐long

parent‐led spatial intervention failed to improve children's spatial skills. Mind, Brain, and Education.

Tian, J., Bennet‑Pierre, G., Tavassolie, N., Newcombe, N., Weinraub, M., Hindman, H. A., Newton, K. J., & Gunderson, E. A.

(2023). A growth mindset message leads parents to choose more challenging informal learning activities. Journal of Intelligence. Special Issue: Spatial Intelligence and Learning.

Tian, J., Ren, K., & Gunderson, E. A. (2023). Verbal labels influence children’s processing of decimal magnitudes. Journal of

Applied Developmental Psychology.

Tian, J., Ren, K., Newcombe, N., Weinraub, M., Vandell, D., & Gunderson, E. A. (2022). Tracing the origins of the STEM

gender gap: Childhood spatial skills contribute to women’s under‑representation in STEM majors. Developmental Science, e13302.

Siegler, R. S. & Tian, J. (2022). Why do we need three rational number notations? The importance of percentages. Advances

in Child Development and Behavior

Tian, J., ✝Leib, E. R., ✝Griger, C., ✭Oppenzato, C. O., & Siegler R. S. (2022). Biased problem distributions in assignments

parallel those in textbooks: Evidence from fraction and decimal arithmetic. Journal of Numerical Cognition, 8(1), 73‑ 88

Tian, J., ✲Dam, S., & Gunderson, E. A. (2022). Spatial skills, but not spatial anxiety, mediate gender differences

in number line estimation. Developmental Psychology, 58(1), 138‑151.

Tian, J., Bartek, V., ✲Rahman, M. Z., & Gunderson, E. A. (2021). Learning improper fractions with the number lines and

the area models. Journal of Cognition and Development, 22(2), 305‑327.

Tian, J., Braithwaite, D. W., & Siegler R. S. (2021). Distributions of textbook problems predict student learning: Data from

decimal arithmetic. Journal of Educational Psychology, 113(3), 516‑529.

Siegler, R. S. , Im, S., Schiller, L., Tian, J., & Braithwaite, D. W. (2020). The sleep of reason produces monsters: How

and when biased input shapes mathematics learning. Annual Review of Developmental Psychology, 2, 413‑435.

Tian, J., Gunderson, E. A. (2020). Teaching fractions to young children. Young Children, 75(4), 62 ‑ 67.

Tian, J., Braithwaite, D. W., & Siegler R. S. (2020). How do people choose among rational number notations?

Cognitive Psychology, 123, 101333.

Wang, C. & Tian, J. (2018). Reminders of mortality alter pain‑evoked potentials in a Chinese sample. Frontiers in

Psychology, 9, 1667.

Tian, J., & Siegler, R. S. (2017). Which type of rational numbers should students learn first? Educational Psychology

Review, 30, 351‑372.

Braithwaite, D. W., Tian, J., & Siegler, R. S. (2017). Do children understand fraction addition? Developmental Science,

21(4), e12601.

Tian, J., & Siegler, R. S. (2017). Fractions learning in children with mathematics difficulties. Journal of Learning

Disabilities, 50(6), 614‑620.

Tian, J. (2017). Difficulty in understanding rational numbers and potential solutions. In P. Lemaire (Eds.), Cognitive

Development from a Strategy Perspective: A Festschrift for Robert Siegler (pp. 233 ‑ 262). London, UK: Routledge.

Zhou, Y., Qin, S., & Tian, J. (2016). Risk perception of air pollution: An exploration of self‑relevancy. Human and Ecological

Risk Assessment: An International Journal, 22(7), 1506‑1518.

Lortie‑Forgues, H., Tian, J., & Siegler, R. S. (2015). Why is learning fraction and decimal arithmetic so difficult?

Developmental Review, 38, 201‑221.

bottom of page