Washington is active in education policy, especially best practices on achieving racial and ethnic diversity in STEM. At the NSF, she has served as co-Lead of the Hispanic-Serving Institutions Program and is a graduate of the STEM diversity organization SACNAS. She serves on the Council of the American Mathematical Society and served on the Executive Committee of the Association for Women in Mathematics. Washington helped to champion the once-forgotten Evansville mathematician Elbert Frank Cox, from her hometown of Evansville, leading to the November 2006 unveiling of a plaque honoring the longtime Howard professor as the first African-American scholar to earn a doctorate in mathematics. She received the 2019 Black Engineer of the Year Awards STEM Innovator Award.
Selected publications
; Applied mathematics
R. E. Mickens and T. M. Washington. "A Note on Exact Finite Difference Schemes for the Differential Equations Satisfied by the Jacobi Cosine and Sine Functions" Journal of Difference Equations and Applications, Vol. 19, Iss. 2, pp. 1042–1047.
T. M. Washington. NSFD "Representations for Polynomial Terms Appearing in the Potential Functions of 1-Dimensional Conservative Systems" Computers & Mathematics with Applications, Vol. 66, Iss. 11, pp. 2251–2258.
R. E. Mickens and T. M. Washington. NSFD "Discretizations of Interacting Population Models Satisfying Conservation Laws" Computers & Mathematics with Applications, Vol. 66, Iss. 11, pp. 2307–2316.
E. H. Goins and T. M. Washington. "On the Generalized Climbing Stairs Problem" Ars Combinatoria, Vol. 117, pp. 183–190.
R. E. Mickens, J. Munyakazi and T. M. Washington. "A Note on the Exact Discretization for a Cauchy-Euler ODE: Application to the Black-Scholes Equation" Journal of Difference Equations and Applications, Vol. 21, Iss. 7, pp. 547–552.
O. Adekanye and T. Washington. "Numerical Comparison of Nonstandard Schemes for the Airy Equation" International Journal of Applied Mathematical Research, Vol. 6, Iss. 4, pp. 141–146.
M. J. Wolyniak, C. J. Alvarez, V. Chandrasekaran, T. M. Grana, A. Holgado, C. J. Jones, R. W. Morris, A. L. Pereira, J. Stamm, T. M. Washington, and Y. Yang. "Building Better Scientists Through Cross-disciplinary Collaboration in Synthetic Biology: A Meeting Report from the Genome Consortium for Active Teaching Workshop 2010" CBE-Life Sciences Education, Vol. 9, No. 4, pp. 399–404.
R. De Veaux, M. Agarwal, M. Averett, B. Baumer, A. Bray, T. Bressoud, L. Bryant, L. Cheng, A. Francis, R. Gould, A. Y. Kim, M. Kretchmar, Q. Lu, A. Moskol, D. Nolan, R. Pelayo, S. Raleigh, R. J. Sethi, M. Sondjaja, N. Tiruviluamala, P. Uhlig, T. Washington, C. Wesley, D. White, P. Ye. "Curriculum Guidelines for Undergraduate Programs in Data Science" Annual Review of Statistics and Its Application, Vol. 4, pp. 2.1-2.16.
V. R. Morris and T. Washington. "The Role of Professional Societies in STEM Diversity" Journal of the National Technical Association, Vol. 87, Iss. 1, pp. 22–31.
T. Washington. "Behind Every Successful Woman, There are a Few Good Men" The Notices of the AMS, Vol. 65, Iss. 02, pp. 132–134.