In International Journals
N. R. O. Bastos and D. F. M. Torres, Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus. Commun. Frac. Calc. 1 (2010) 41-47.
N. R. O. Bastos, R. A. C. Ferreira and D. F. M. Torres, Necessary optimality conditions for fractional difference problems of the calculus of variations, Discrete Contin. Dyn. Syst. (29) (2011), no. 2, 417-437.
N. R. O. Bastos, R. A. C. Ferreira and D. F. M. Torres, Discrete-time fractional variational problems. Signal Processing, vol. 91 (2011), 513-524.
N. R. O. Bastos, D. Mozyrska and D. F. M. Torres, Fractional derivatives and integrals on time scales via the inverse generalized Laplace transform, Int. J. Math. Comput.(11) (2011), J11, 1-9.
R. Almeida, N. R. O. Bastos and D.F.M. Torres, A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives, Int. J. Difference Equ. (9) No 1, 3-–10 (2014)
R. Almeida and N.R.O. Bastos, A numerical method to solve high-order fractional differential equations. Mediterr. J. Math. (13) No 3, 1339-1352 (2016)
R. Almeida and N.R.O. Bastos, A discretization of the Hadamard fractional derivative. J. Math. Sci. Appl. E-Notes (4) No 1, 31-39 (2016)
R. Almeida and N.R.O. Bastos, An approximation formula for the Katugampola integral. J. Math. Anal. (7) No 1, 23-30 (2016)
R. Almeida, N.R.O. Bastos and M.T.T. Monteiro, Modelling some real phenomena by fractional differential equations. Math. Meth. Appl. Sci. (39) No 16, 4846-4855 (2016)
R. Almeida, N.R.O. Bastos and M.T.T. Monteiro, A fractional Malthusian growth model with variable order using an optimization approach. Stat. Optim.Inform.Comput. (6) 4-11 (2018)
N.R.O. Bastos, Calculus of variations involving Caputo-Fabrizio fractional differentiation. Stat. Optim.Inform.Comput. (6) 12-21 (2018)
Rita, P., Hall, A., & Bastos, N. (2022). Interlacing Islamic Art with the Teaching of Symmetry in Portuguese Schools. In Symmetry: Art and Science| 12th SIS-Symmetry Congress [Special Issue]. Symmetry: Art and Science. (pp. 48-53). International Society for the Interdisciplinary Study of Symmetry.
Hall, A. O., & Bastos, N. R. O. (2024). String art with repeating decimals. Journal of Mathematics and the Arts, 18(3–4), 290–297. https://doi.org/10.1080/17513472.2024.2386645 .
In Conference Proceedings
N. R. O. Bastos, R. A. C. Ferreira and D. F. M. Torres, The fractional difference calculus of variations, Symposium on Fractional Signals and Systems Lisbon'09, M. Ortigueira et. al. (eds.), Lisbon, Portugal, November 4-6, 2009, 15pp.
N. R. O. Bastos and D. F. M. Torres, A Combined Discrete Fractional Sum Operator, NSC'10 - 3rd Conference on Nonlinear Science and Complexity, D. Baleanu et. al. (eds.), Ankara, Turkey, July 28-31, 2010, 4pp.
R. Almeida, N. R. O. Bastos and M. T. T. Monteiro, An optimization method for the best fractional order to estimate real data analysis, 15th International Conference on Computational and Mathematical. Methods in Science and Engineering (CMMSE 2015), J. Vigo-Aguiar, 81-89, Cadiz, Spain, 2015.
R. Almeida, N. R. O. Bastos and M. T. T. Monteiro, A fractional Malthusian growth model with variable order using an optimization approach, 16th International Conference on Computational and Mathematical. Methods in Science and Engineering (CMMSE-2016), J. Vigo-Aguiar, 51-54, Costa Ballena (Rota), Cádiz, Spain, 2016.
M. Figueiredo, R. Matias, V. Alves, N. Bastos, R.P. Duarte, B. Ferreira, C. Cunha (2021) Professional Development For Higher Education Teaching Staff: An Experience Of Peer Learning In A Portuguese Polytechnic, INTED2021 Proceedings, pp. 6356-6361. http://dx.doi.org/10.21125/inted.2021.1270
N. R. O. Bastos (2021), In-service Math Teacher Training Workshops With Technology Integration: Some Examples, EDULEARN21 Proceedings, pp. 12025-12033.
N. R. O. Bastos and V. Santos (2021), Using digital tools to enhance active methodologies in higher education, EDULEARN21 Proceedings, pp. 12046-12053.
N. R. O. Bastos (2022), BREAKOUT ROOMS: A COLLABORATIVE SPACE THAT WORKS, EDULEARN22 Proceedings, pp. 7749-7754.
N. R. O. Bastos (2022), USE OF DESMOS TO ENGAGE STUDENTS IN CALCULUS, EDULEARN22 Proceedings, pp. 7766-7771.
V. Santos and N. R. O. Bastos (2022), ACTIVITIES WITH DESMOS AND GEOGEBRA FOR FORMATIVE AND AUTOMATIC FEEDBACK, EDULEARN22 Proceedings, pp. 7555-7559.
L. Dias, M.P. Oliveira, N.R. O. Bastos (2022), AN EXPERIENCE WITH DESMOS IN THE STUDY OF THE QUADRATIC FUNCTION, EDULEARN22 Proceedings, pp. 4456-4464.
V. Santos, A. Hall, N.R. O. Bastos, C.M.R. Caridade (2022), ACTIVE LEARNING DURING THE COVID-19 PANDEMIC - A TRIPLE EXPERIMENT, EDULEARN22 Proceedings, pp. 1302-1307.
Rita, P., Bastos, N., & Hall, A. (2022). Exploring Symmetry Through Portuguese Tiles in Historical Monuments. Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture, pp. 395-398.
N.R.O. Bastos (2023), THE USE OF SELF-ASSESSMENT AND FLIPPED CLASSROOM IN AN UNDERGRADUATE MATHEMATICS COURSE FOR MANAGEMENT STUDENTS, EDULEARN23 Proceedings, pp. 4791-4798.
V. Santos, N.R.O. Bastos (2023), OPEN MIDDLE PROBLEMS: MATH CHALLENGES THAT PROMOTE DEBATE AND CRITICAL THINKING, EDULEARN23 Proceedings, pp. 3703-3708.
N.R.O. Bastos, M.P. de Sousa Oliveira, I. Ferreira (2023), ACTIVE LEARNING IN A VOCATIONAL EDUCATION AND TRAINING PROGRAMME, EDULEARN23 Proceedings, pp. 5837-5845.
M.P. de Sousa Oliveira, A. Hall, N.R.O. Bastos, D. Seabra, E. Assunção, M.J. Barroso (2023), THE GEOGEBRA BOOK: A TOOL TO ENGAGE STUDENTS, EDULEARN23 Proceedings, pp. 2149-2157.
In Book Chapters
Santos V., Bastos N.R.O. (2021) Critical Thinking on Mathematics in Higher Education: Two Experiences. In: Reis A., Barroso J., Lopes J.B., Mikropoulos T., Fan CW. (eds) Technology and Innovation in Learning, Teaching and Education. TECH-EDU 2020. Communications in Computer and Information Science, vol 1384. Springer, Cham. https://doi.org/10.1007/978-3-030-73988-1_11
Bastos, N.R.O. (2022). Estratégias para envolver ativamente os estudantes no processo de aprendizagem. In M. P. Figueiredo, & A. Franco (Coords.), Pedagogia no Ensino Superior: Concretizações e inquietações no Instituto Politécnico de Viseu (pp.). Escola Superior de Educação de Viseu.