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Ana Maria Reis d Azevedo Breda holds a Ph D. in Pure Mathematics in the specialization of geometry and topology by the University of Southampton, U. She is an associated professor with habilitation at the University of Aveiro, Portugal, member of the Center for Research and Development in Mathematics and Applications CIDMA, member of the ICMI .PT and coordinator of the multidisciplinary thematic strand GEOMETRIX. During is academic career she has been a visiting professor at several universities in Brazil, United States of America and Canada and has participated, as team member or principal investigator) in research projects in mathematics financed by the Portuguese Foundation for Science and Technology (FCT) and Gulbenkian Foundation. She was President of the Portuguese Mathematical Society (SPM) at a regional level and Vice-President at a national level; Director of the Mathematics Department of the University of Aveiro, Coordinator of the Scientific Committee of the referred Department, Coordinator of the research group Algebra and Geometry of the Center for Research & Development in Mathematics and Applications (CIDMA) and member of the team that developed the National Mathematics Curriculum for Basic Education. Since 2000, she is the coordinator of the Thematic Line Geometrix, winner of the prize Scientific and Technological Innovation Jaime Filipe. Geometrix is an interdisciplinary research line bringing together, among others, mathematicians, computer scientists, educators and graphic designers, with the purpose of developing formal and non-formal learning environments, covering research topics in the areas of Mathematics, Technology and Mathematical Education. Geometrix also encompasses extension activities relating mathematics / culture / community / university in partnership with national and international institutions and companies. Has several publications and (invited) communications (at national and international level). She organized several international conferences and was president and member of the scientific committee of several national and international events. Responsible for different curricular modules of engineering, science and future teachers of Mathematics has published, within this context, several textbooks. With extensive experience in the supervision of master and Ph.D thesis, she has supervised, theses that for their scientific value were worthy prizewinners.
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Identification

Personal identification

Full name
Ana Maria Reis d Azevedo Breda

Citation names

  • Breda, Ana

Author identifiers

Ciência ID
811A-8F7A-2169
ORCID iD
0000-0001-7076-707X
Google Scholar ID
p7Hy1MIAAAAJ
Researcher Id
I-9201-2019
Scopus Author Id
8440859800

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics
  • Exact Sciences - Mathematics - Applied Mathematics
  • Social Sciences - Educational Sciences

Languages

Language Speaking Reading Writing Listening Peer-review
English Intermediate (B1) Advanced (C1) Advanced (C1) Advanced (C1)
Portuguese Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Education
Degree Classification
2005
Concluded
 Agregação em Matemática (Título de Agregado)
Universidade de Aveiro, Portugal
"D-pavimentações esféricas" (THESIS/DISSERTATION)
 Aprovada por unanimidade
1989
Concluded
 PhD in Mathematical Sciences (Doctor of Philosophy)
University of Southampton, United Kingdom
"Isometric Foldings" (THESIS/DISSERTATION)
 Aprovada por unanimidade
1986
Concluded
 Mestrado em Física Matemática (Mestrado)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"Geometria das aplicações distância e altura" (THESIS/DISSERTATION)
 Muito Bom por unanimidade
1982
Concluded
 Licenciatura em Matemática - Ramo Matemática Pura (Licenciatura)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
 17 valores
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
1999 - Current Associate Professor (University Teacher) Universidade de Aveiro, Portugal
Universidade de Aveiro Departamento de Matemática, Portugal
1993 - 1999 Assistant Professor (University Teacher) Universidade de Aveiro, Portugal
Universidade de Aveiro Departamento de Matemática, Portugal
1990 - 1993 Assistant Professor (University Teacher) Universidade de Coimbra, Portugal
Universidade de Coimbra Departamento de Matemática, Portugal
1986 - 1989 Assistant (University Teacher) Universidade de Coimbra, Portugal
Universidade de Coimbra Departamento de Matemática, Portugal
1982 - 1986 Trainee Assistant (University Teacher) Universidade de Coimbra, Portugal
Universidade de Coimbra Departamento de Matemática, Portugal
Projects

Contract

Designation Funders
2025/12/31 - 2028/12/30 European Classroom for Mathematics Teachers Training- EUMathClass
KA220-HED-548F6DFF
Researcher
Universidade de Aveiro, Portugal
Under evaluation
2021/12/01 - 2024/05/31 Math3DgeoVR
2022-1-PL01-KA220-HED-000086366
Researcher
Erasmus Plus
Concluded
2016/01/01 - 2017/12/30 Ambiente de Aprendizagem Matemática para Autistas ( Fund. Gulbenkian: Processo 143912)
143912
Principal investigator
Universidade de Aveiro Departamento de Matemática, Portugal
 Fundação Calouste Gulbenkian
Concluded
2010/06 - 2013/12 Economicando ´Economics for Kids´
Provided by PTCRIS: 100923PRJ
 Fundação para a Ciência e a Tecnologia
1996 - 2002 Grupos, Álgebras e Geometria (FCT - PRAXIS/PCEX/C/MAT/114/96)
PRAXIS/PCEX/C/MAT/114/96
Researcher
Universidade de Coimbra, Portugal
1992 - 1996 Geometria e Aplicações (FCT-PBIC/C/CEN/1060/92)
PT/FCT/JNICT/DSPP-DGP/001/1403
 Fundação para a Ciência e a Tecnologia
Outputs

Publications

Book
  1. Breda, Ana. Cálculo com Funções de Várias Variáveis. 1996.
Book chapter
  1. José Manuel Dos Santos Dos Santos; Ana Maria Reis D’Azevedo Breda; Zsolt Lavicza; Luís Miguel Correia; Alexandre Emanuel Batista da Silva Trocado. "Casa da Música: A Lever for STEAM Projects". 2024.
    10.1007/978-3-031-71225-8_17
  2. Ana Maria Reis D’Azevedo Breda; Alexandre Emanuel Batista da Silva Trocado; José Manuel Dos Santos Dos Santos. "The Intersection Curve of an Ellipsoid with a Torus Sharing the Same Center". 2023.
    10.1007/978-3-031-13588-0_11
  3. Ana Maria Reis D’Azevedo Breda; Alexandre Emanuel Batista da Silva Trocado; José Manuel Dos Santos Dos Santos. "Torus and Quadrics Intersection Using GeoGebra". 2021.
    10.1007/978-3-030-63403-2_43
  4. Breda, A.; Parreira, T.; Rocha, E.M.. "The intbook concept as an adaptive web environment". 239-254. 2008.
  5. Castillo, G.; Gama, J.; Breda, A.M.; Breda, Ana. "An adaptive predictive model for student modeling". 70-92. 2005.
    10.4018/978-1-59904-945-8.ch044
Conference paper
  1. Daniela Dias; Ana Breda; Rui Duarte. "EFFECTIVENESS OF THE SPATRIX PLATFORM IN IMPROVING AND EVALUATING SPATIAL VISUALIZATION SKILLS". 2024.
    10.21125/iceri.2024.0558
  2. Catarina Cruz; Ana Breda. "ILLUSTRATING CREATIVELY WITH MATHEMATICS". 2024.
    10.21125/iceri.2024.0563
  3. Iara Monteiro; Ana Breda; Rui Duarte. "PERCEIVING NEEDS FELT BY THE PORTUGUESE COMMUNITY WITH VISION IMPAIRMENT". 2023.
    10.21125/edulearn.2023.0377
  4. Helena Costa; Ana Breda; Teresa Neto. "MATH PATHWAYS EMERGING FROM DESIGN THINKING METHODOLOGY". 2023.
    10.21125/edulearn.2023.0374
  5. Ana Breda; Paula Carvalho; Andreia Hall. "INTERDISCIPLINARY APPROACHES: EXPLORING THE FUSION OF MATHEMATICS, ART, AND CULTURE IN A PROFESSIONAL DEVELOPMENT COURSE FOR MATHEMATICS TEACHERS". 2023.
    10.21125/edulearn.2023.0452
  6. Ana Breda; Catarina Cruz. "SOFT SKILLS IN MATH - NON-FORMAL LEARNING CONTEXTS". 2023.
    10.21125/inted.2023.2348
  7. Catarina Cruz; Ana Breda. "MATHEMATICS AND EMOTIONS: AN UNLIKELY CONNECTION". 2023.
    10.21125/inted.2023.1048
  8. Ana Breda; Paula Carvalho; Andreia Hall. "USING A STEAM APPROACH IN A PROFESSIONAL DEVELOPMENT COURSE FOR MATHEMATICS TEACHERS". 2022.
    10.21125/edulearn.2022.0018
  9. Ana Breda; Catarina Cruz. "CHILDREN’S LITERATURE: A WAY FOR THE DEVELOPMENT OF MATH AND SOFT SKILLS". 2022.
    10.21125/edulearn.2022.0434
  10. Sofia Ribeiro; Ana Breda; Eugénio Rocha; David Tinoco. "AUGMENTED REALITY AS AN ASSET TO 3D GEOMETRY: A DIGITAL RESOURCE FOR TEACHERS". 2022.
    10.21125/inted.2022.0162
  11. Sofia Ribeiro; Ana Breda; Eugénio Rocha. "COMPUTATIONAL THINKING IN UPPER-SECONDARY EDUCATION: A SYSTEMATIC LITERATURE REVIEW". 2022.
    10.21125/inted.2022.0777
  12. "CHILDREN’S LITERATURE: A PATHWAY OF SCIENTIFIC AND DIDACTICAL OPPORTUNITIES". 2022.
    10.21125/edulearn.2022.0566
  13. Micaela Martins; Ana Breda; Eugénio Rocha; Ricardo Domingues. "CNME A MATH NARRATIVE-BASED SERIOUS GAME". 2021.
    10.21125/edulearn.2021.0606
  14. Raquel Afonso; Ana Breda; Eugénio Rocha. "GRAPHIC AND MULTIMEDIA DESIGN OF A NARRATIVE-BASED MATH GAME". 2021.
    10.21125/edulearn.2021.0861
  15. Breda, Ana Maria D'Azevedo; Dos Santos Dos Santos, José Manuel; D¿Azevedo Breda, A.M.; Dos Santos Dos Santos, J.M.. "New classes of monohedral spherical tilings by non-convex spherical hexagons and non-convex spherical Pentagons with GeoGebra". Paper presented in CATA 2019, Honolulu, 2019.
    Published • 10.29007/qk2k
  16. Cruz, C.M.N.; D’Azevedo Breda, A.M.. "Packing of R3 by crosses". 2019.
    10.1145/3343485.3343502
  17. Breda, Ana. "COMBINATORIAL GAMES AS TESTBEDS FOR LEARNING PATTERNS RECOGNITION: THE NIM APP". 2017.
    10.21125/edulearn.2017.1778
  18. Breda, Ana. "LEMA AS A DIGITAL OBJECT MANIPULATION LEARNING ENVIRONMENT". 2017.
    10.21125/edulearn.2017.1604
  19. Santos, Maria Isabel; Ribeiro, Tânia; Breda, Ana; Almeida, Ana Margarida. "REDESIGNING LEMA: A WEB BASED CLASSROOM APPLICATION TO PROMOTE MATHEMATICAL REASONING IN AUTISTIC CHILDREN". Paper presented in 11th International Conference on Technology, Education and Development (INTED), 2017.
    10.21125/inted.2017.2063
  20. Breda, Ana; Santos, M.I.; Breda, A.; Almeida, A.M.. "Learning Environment for Autism Spectrum Disorders: a universal approach to the promotion of mathematical reasoning". 2016.
    DOI: 10.1145/3019943.3019967
  21. Santos, M. Isabel; Breda, Ana; Almeida, Ana Margarida. "Ambiente digital de aprendizagem promotor do desenvolvimento do raciocínio matemático em alunos com perturbações do espetro do Autismo". Paper presented in IX Conferência Internacional de TIC na Educação – Challenges 2015 Meio Século de TIC na Educação, 2015.
  22. Breda, Ana; Nogueira, Dulce. "TRIGONOMETRY: FROM THE PAST TO THE FUTURE WITH GEOGEBRA". Paper presented in 6th International Conference on Education and New Learning Technologies (EDULEARN), 2014.
    Published
  23. Breda, Ana; Varum, Celeste; Ferreira, Abigail; Pombo, Pedro. "DIDACTIC ACTIVITIES FOR INTRODUCING CHILDREN TO ECONOMICS". Paper presented in 5th International Conference on Education and New Learning Technologies (EDULEARN), 2013.
    Published
  24. Breda, Ana. "Some insights about PL(7, 2) codes". 2013.
  25. Breda, A.; Rocha, E.; Vasconcelos, A.; Domingues, R.. "Designing effective interactive tools for students learning about geometric transformations". Paper presented in 1st International Conference on Computer Supported Education, 2009.
    Published
  26. Rocha, E.; Breda, A.; Soares, M.; Parreira, T.. "An authoring tool for developing highly interactive digital books : The intbooks platform". Paper presented in 1st International Conference on Computer Supported Education, 2009.
  27. Breda, A.M.; Rocha, E.M.; Rodrigues, M.M.. "Interactive, collaborative and adaptative learning tools the TexMat example". Paper presented in 4th International Conference on Web Information Systems and Technologies, 2008.
    Published
  28. D'Azevedo Breda, A. M.; Sigarreta, J. M.; Ruesga, P.; Simos, Theodore E.; Psihoyios, George; Tsitouras, Ch.. "Properties of Monohedral f-Triangulations of the Riemannian Sphere". Paper presented in International Conference on Numerical Analysis and Applied Mathematics, 2007.
    Published • 10.1063/1.2790275
  29. Breda, Ana; Bajuelos, A.L.; Castillo, G.. "An XML-based interactive question generator for an adaptive learning environment". Paper presented in 6th World Multi-Conference on Systemics, Cybernetics and Informatics (SCI 2002)/8th International Conference on Information Systems Analysis and Synthesis (ISAS 2002), 2002.
    Published
  30. Breda, Ana; Neto, Maria Teresa. "A teaching strategy for problem solving". Paper presented in 6th World Multi-Conference on Systemics, Cybernetics and Informatics (SCI 2002)/8th International Conference on Information Systems Analysis and Synthesis (ISAS 2002), 2002.
    Published
  31. Breda, Ana; Santos, D.. "Automatic generation of game sceneries using discrete dynamical systems". Paper presented in 6th World Multi-Conference on Systemics, Cybernetics and Informatics (SCI 2002)/8th International Conference on Information Systems Analysis and Synthesis (ISAS 2002), 2002.
    Published
  32. Breda, Ana; Castillo, G.; Bajuelos, A.L.. "Transforming a Web-based courseware in geometry into an adaptive course". Paper presented in 6th World Multi-Conference on Systemics, Cybernetics and Informatics (SCI 2002)/8th International Conference on Information Systems Analysis and Synthesis (ISAS 2002), 2002.
    Published
  33. Breda, Ana. "Proceedings of the Summer School on Differential Geometry, Coimbra, Portugal, September 3–7, 1999". Paper presented in Proceedings of the Summer School on Differential Geometry, Coimbra, Portugal, September 3–7, 1999, 1999.
    Published • Editor
  34. Breda, Ana; Breda D'Azevedo, A. J.. "Monohedral planar f -tilings". Paper presented in Proceedings of the 1st international meeting on geometry and topology, Braga, Portugal, September 11--13, 1997, 1997.
    Published
  35. Breda, Ana. "Isometric foldings of the hyperbolic plane". Paper presented in Days on topology and geometry, Coimbra, Portugal, May 21, 1996. Coimbra: Universidade de Coimbra, Dept. Mat. Textos Mat., Sér. B. 10, 1-6 (, 1996.
    Published
  36. Breda, Ana. "Isometric foldings of Riemannian surfaces of constant curvature". Paper presented in Studies in mathematics. An homage to Renato Pereira Coelho. Coimbra: Departamento de Matemática, Faculdade de Ciências e Tecnologia. Universidade de Coimbra, 9-19 (1992)., 1992.
    Published
Journal article
  1. Santos, José Manuel Dos Santos Dos; Silveira, Astrigilda Rocha Pires; Breda, Ana Maria Reis D Azevedo; Saimon, Musa; Lavicza, Zsolt. "Empowering Mozambican educators: Overcoming technological challenges to implement STEAM education". International Journal of Educational Research Open 9 (2025): 100481. https://doi.org/10.1016/j.ijedro.2025.100481.
    Published • 10.1016/j.ijedro.2025.100481
  2. José Manuel Dos Santos Dos Santos; Astrigilda Pires Rocha Silveira; Ana Maria Reis d’Azevedo Breda; Zsolt Lavicza. "Challenges in Science, Technology, Engineering, Arts, and Mathematics Education in Cape Verde: A Study of a Mathematics Teacher Training Project". Education Sciences (2025): https://doi.org/10.3390/educsci15010081.
    10.3390/educsci15010081
  3. ABAR, CELINA; Dos Santos, José Manuel Dos Santos; Breda, Ana; Lavicza, Zsolt. "Automatic Feedback in Mathematics Education: A Pathway to Robotics and Computational Thinking". Acta Scientiae 27 2 (2025): http://www.periodicos.ulbra.br/index.php/acta/article/view/8240.
    Published • https://doi.org/10.17648/acta.scientiae.8240
  4. Breda, Ana; Catarina Maria Neto da Cruz. "Assessing Children’s Probabilistic and Creative Thinking in a Non-Formal Learning Context.". International Journal of Educational and Pedagogical Sciences, 19 3 (2025): 159-164. https://doi.org/10.5281/zenodo.14977440.
    Published
  5. Cruz, C.; Breda, Ana. "Philosophical Inquiry from Children´s Literature: Multidimensional Thinking'". International Journal of Educational and Pedagogical Sciences 19 5 (2025): 281-288. https://publications.waset.org/10014085/philosophical-inquiry-from-childrens-literature-multidimensional-thinking.
    Published
  6. Ana Breda; Alexandre Trocado; José Dos Santos. "Topological Properties of the Intersection Curves Between a Torus and Families of Parabolic or Elliptical Cylinders". Axioms (2024): https://doi.org/10.3390/axioms13120852.
    10.3390/axioms13120852
  7. Ana Breda; Alexandre Trocado; José Manuel Dos Santos. "The Intersection Curve of an Hyperbolic Cylinder with a Torus Sharing the Same Center". International Electronic Journal of Geometry (2024): https://doi.org/10.36890/iejg.1318186.
    10.36890/iejg.1318186
  8. Catarina Neto; Ana Breda. "Children’s Literature: A Contribution to the Emergence of Science in the Early Years". International Journal on Social and Education Sciences (2024):
    https://doi.org/10.46328/ijonses.613
  9. Ana Breda; Catrina Cruz. "Promoting creative and critical thinking in mathematics: an exploratory study". International Scholarly and Scientific Research & Innovation (2024):
  10. Ana Breda; Vanelson Garcia; Nelson Santos. "Teachers’ Perceptions of STEAM Education". International Journal of Technology in Education (2023): https://doi.org/10.46328/ijte.563.
    10.46328/ijte.563
  11. Breda, Ana; Cruz, Catarina N.. "Emotions triggered by children’s literature images". International Journal of Educational and Pedagogical Sciences 17 2 (2023): 1-8. http://hdl.handle.net/10773/39995.
  12. Breda, Ana; Neves, Antonio ; Dos Santos Dos Santos, José Manuel; Lavicza, Zsolt. "Utilising a STEAM-based Approach to Support Calculus Students’ Positive Attitudes Towards Mathematics and Enhance their Learning Outcomes". Open Education Studies 5 1 (2023): 1-10. http://hdl.handle.net/10773/39996.
    10.1515/edu-2022-0210
  13. Abel Encarnação; Teresa Neto; Ana Breda. "A formação de professores no âmbito de competências do raciocínio geométrico: uma revisão de literatura". INTERMATHS (2022): https://doi.org/10.22481/intermaths.v3i1.10477.
    10.22481/intermaths.v3i1.10477
  14. Breda, Ana. "Promover o Raciocínio Geométrico em Alunos com Perturbação do Espectro do Autismo através de um Ambiente Digital". Bolema: Boletim de Educação Matemática (2020): http://dx.doi.org/10.1590/1980-4415v34n67a02.
    10.1590/1980-4415v34n67a02
  15. Breda, Ana; Dos Santos, José. "Spherical Tiling with GeoGebra New Results, Challenges and Open Problems". Resonance - Journal of Science Education 24 8 (2019): 861-873. http://dx.doi.org/10.1007/s12045-019-0849-6.
    Published • 10.1007/s12045-019-0849-6
  16. Cruz, Catarina N.; dAzevedo Breda, Ana M.. "Restriction conditions on PL(7, 2) codes (3 = |¿i| = 7)". Open Mathematics 16 1 (2018): 311-325. http://dx.doi.org/10.1515/math-2018-0027.
    Published • 10.1515/math-2018-0027
  17. Breda, Ana. "A projeção estereográfica no GeoGebra". Revista do Instituto GeoGebra Internacional de São Paulo (2018): http://ria.ua.pt/handle/10773/22403.
    http://ria.ua.pt/handle/10773/22403
  18. Breda, Ana; d'Azevedo Breda, Ana M.; Dos Santos Dos Santos, José. "A new class of monohedral pentagonal spherical tilings with GeoGebra". Portugaliae Mathematica 74 3 (2018): 257-266. http://hdl.handle.net/10773/22148.
    Published • 10.4171/PM/2006
  19. Breda, A.M.D.; Dos Santos, J.M.; Breda, Ana; Dos Santos, José Manuel Dos Santos. "Spherical geometry and spherical tilings with GeoGebra". Journal for Geometry and Graphics 22 2 (2018): 283-299. http://www.scopus.com/inward/record.url?eid=2-s2.0-85062571688&partnerID=MN8TOARS.
    Published
  20. Santos, Maria Isabel; Breda, Ana; Almeida, Ana Margarida. "Design approach of mathematics learning activities in a digital environment for children with autism spectrum disorders". Educational Technology Research and Development 65 5 (2017): 1305-1323. http://dx.doi.org/10.1007/s11423-017-9525-2.
    10.1007/s11423-017-9525-2
  21. Breda, Ana. "Simetrias nas Cercaduras das Fachadas de Azulejos de Aveiro, usando o GeoGebra". Revista do Instituto GeoGebra Internacional de São Paulo (2017): http://hdl.handle.net/10773/21143.
  22. Breda, Ana Maria D’azevedo; Santos, José Manuel Dos Santos Dos. "Complex functions with GeoGebra". Teaching Mathematics and its Applications 35 2 (2016): 102-110. http://dx.doi.org/10.1093/teamat/hrw010.
    Published • 10.1093/teamat/hrw010
  23. d’Azevedo Breda, A. M.; Ribeiro, Patrícia S.. "Deformation of a Class of Dihedral Spherical f-Tilings". Bulletin of the Malaysian Mathematical Sciences Society 40 1 (2016): 473-486. http://dx.doi.org/10.1007/s40840-016-0324-4.
    Published • 10.1007/s40840-016-0324-4
  24. Cruz, C. N.; d’Azevedo Breda, A. M.; Pinto, M. R.. "Packing of R2 by Crosses". Mathematica Slovaca 65 5 (2015): 935-956. http://dx.doi.org/10.1515/ms-2015-0063.
    Published • 10.1515/ms-2015-0063
  25. Breda, Ana. "The Riemann Sphere in GeoGebra.". Sensos-e, Multimedia Journal of Research in Education (2015): http://hdl.handle.net/10773/16236.
  26. Santos, M.I.; Breda, A.; Almeida, A.M.; Breda, Ana. "Brief Report: Preliminary Proposal of a Conceptual Model of a Digital Environment for Developing Mathematical Reasoning in Students with Autism Spectrum Disorders". Journal of Autism and Developmental Disorders 45 8 (2015): 2633-2640. http://www.scopus.com/inward/record.url?eid=2-s2.0-84937968269&partnerID=MN8TOARS.
    10.1007/s10803-015-2414-9
  27. Breda, Ana; Dawson, Robert; Ribeiro, Patrícia. "Spherical f-tilings by two noncongruent classes of isosceles triangles-II". Acta Mathematica Sinica, English Series 30 8 (2014): 1435-1464. http://dx.doi.org/10.1007/s10114-014-3302-5.
    Published • 10.1007/s10114-014-3302-5
  28. Breda, Ana; Dos Santos, José Manuel Dos Santos; Trocado, A.. "O GeoGebra para além da segunda dimensão". Indagatio Didactica 5 (2013): http://geogebra.ese.ipp.pt/index.php/2016-12-04-14-21-27/253-o-geogebra-para-alem-da-segunda-dimensao.
    Published
  29. Breda, Ana. "Economic Education Research: Theoretical Foundations and Empirical Research, Directions and Trends in the Past Decades". Journal of Social Science Education (2013):
    10.4119/UNIBI/jsse-v12-i2-117
  30. Ribeiro, P.S.; Breda, Ana; Dawson, Robert; Ribeiro, Patrícia. "Spherical f-tilings by two non congruent classes of isosceles triangles - I". Mathematical Communications 17 1 (2012): 127-149. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866460078&partnerID=MN8TOARS.
    Published • 10.1007/s10114-014-3302-5
  31. d'Azevedo Breda, A.M.; Craveiro de Carvalho, F.J.; Wegner, B.. "On the existence of Bertrand pairs". Beitrage zur Algebra und Geometrie 53 1 (2012): 73-76. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856847675&partnerID=MN8TOARS.
    10.1007/s13366-011-0032-z
  32. Breda, Ana M.; Santos, Altino F.. "On deformations of spherical isometric foldings". Czechoslovak Mathematical Journal 60 1 (2010): 149-159. http://dx.doi.org/10.1007/s10587-010-0005-7.
    Published • 10.1007/s10587-010-0005-7
  33. Avelino, C.P.; d'Azevedo Breda, A.M.; Santos, A.F.. "Spherical quadrangles". Beitrage zur Algebra und Geometrie 51 1 (2010): 111-115. http://www.scopus.com/inward/record.url?eid=2-s2.0-76849095355&partnerID=MN8TOARS.
    Published
  34. Breda, A.M.D.; Ribeiro, P.S.; Santos, A.F.. "Dihedral F-Tilings of the Sphere by Equilateral and Scalene Triangles-I". Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova 124 (2010): 1-23. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856141033&partnerID=MN8TOARS.
    Published
  35. Breda, Ana M.; Sigarreta, J. M.. "Symmetry and transitive properties of monohedral f-triangulations of the Riemannian sphere". Acta Mathematica Sinica, English Series 25 10 (2009): 1609-1616. http://dx.doi.org/10.1007/s10114-009-7496-x.
    Published • 10.1007/s10114-009-7496-x
  36. d’Azevedo Breda, A.M.; Ribeiro, Patrícia S.; Santos, Altino F.. "A class of spherical dihedral f -tilings". European Journal of Combinatorics 30 1 (2009): 119-132. http://dx.doi.org/10.1016/j.ejc.2008.02.010.
    10.1016/j.ejc.2008.02.010
  37. Breda, A.; d'Azevedo, A.B.; Catalano, D.. "On double coverings of some rotary hypermaps". Beitrage zur Algebra und Geometrie 50 2 (2009): 575-588. http://www.scopus.com/inward/record.url?eid=2-s2.0-70450172864&partnerID=MN8TOARS.
    Published
  38. Breda, Ana; Sigarreta,J. M.; Ruesga, P.. "On f-Monohedral Tilings". Advances and Applications in Discrete Mathematics 3 1 (2009): 47-51. http://www.pphmj.com/journals/articles/470.htm.
    Published
  39. Breda, Ana; Santos, Altino F.; d'Azevedo Breda, A.M.; Santos, A.F.. "Symmetry Groups of a Class of Spherical Folding Tilings". Applied Mathematics & Information Sciences 3 2 (2009): 123-134. http://www.naturalspublishing.com/files/published/e85745b7pkl1sz.pdf.
  40. Breda, A.M.D.; Ribeiro, P.S.; Santos, A.F.. "Dihedral F-tilings of the sphere by equilateral and scalene triangles - II". Electronic Journal of Combinatorics 15 1 (2008): 1-21. http://www.scopus.com/inward/record.url?eid=2-s2.0-47749120602&partnerID=MN8TOARS.
    Published
  41. Breda, Ana. "Locally n-Sierpinski spaces as subspaces of Sierpinski powers". International Journal: Mathematical Manuscripts (2008): https://www.ripublication.com/Volume/ijmmv2n1.htm.
  42. Breda, Ana; Ribeiro, Patrícia S.; Santos, Altino F.. "Dihedral f-tilings of the sphere by equilateral and scalene triangles. III". Electronic Journal of Combinatorics 15 1 (2008): 34. http://www.emis.de/journals/EJC/Volume_15/Abstracts/v15i1r147.html.
    Published
  43. Breda, Ana; Ruesga, P.; Sigarreta, J. M.; Rodriguez, M. P.. "Geometry and problem solving". Applied Mathematical Sciences (Ruse) 2 5-8 (2008): 213-221.
    Published
  44. Breda, Ana; Marques, Rosa Elsa; Rostami, M.; Wegner, Bernd. "On a classification of locally 2-Sierpinski spaces". Missouri Journal of Mathematical Sciences 20 1 (2008): 53-59. https://zbmath.org/pdf/05310454.pdf.
    Published
  45. Breda, A.; Breda D'Azevedo, A.; Nedela, R.. "Chirality group and chirality index of Coxeter chiral maps". Ars Combinatoria 81 (2006): 147-160. http://www.scopus.com/inward/record.url?eid=2-s2.0-33845569468&partnerID=MN8TOARS.
  46. Breda, Ana; Santos, Altino F.. "Dihedral f-tilings of the sphere by triangles and well centered quadrangles". Hiroshima Mathematical Journal 36 2 (2006): 235-288. https://zbmath.org/1118.52024.
    Published
  47. Ana Breda; Altino F. Santos. "Dihedral f-tilings of the sphere by rhombi and triangles". Discrete Mathematics & Theoretical Computer Science (2005): https://doi.org/10.46298/dmtcs.348.
    10.46298/dmtcs.348
  48. Breda, A.M.; Santos, A.F.. "Dihedral f-tilings of the sphere by rhombi and triangles". Discrete Mathematics and Theoretical Computer Science 7 1 (2005): 123-142. http://www.scopus.com/inward/record.url?eid=2-s2.0-21244489002&partnerID=MN8TOARS.
    Published
  49. d'Azevedo Breda, A.M.; Breda, Ana M. d'Azevedo. "Image sets of folding surfaces". International Journal of Mathematics and Mathematical Sciences 2005 1 (2005): 91-97. http://www.scopus.com/inward/record.url?eid=2-s2.0-20844460151&partnerID=MN8TOARS.
    Published • 10.1155/IJMMS.2005.91
  50. D'Azevedo Breda, A.M.; Santos, A.F.. "Dihedral f-tilings of the sphere by spherical triangles and equiangular well-centered quadrangles". Beitrage zur Algebra und Geometrie 45 2 (2004): 447-461. http://www.scopus.com/inward/record.url?eid=2-s2.0-8744272450&partnerID=MN8TOARS.
    Published
  51. Castillo, G.; Gama, J.; Breda, A.M.. "Adaptive bayes for a student modeling prediction task based on learning styles". Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) 2702 (2003): 328-332. http://www.scopus.com/inward/record.url?eid=2-s2.0-8344284969&partnerID=MN8TOARS.
    Published • 10.1007/3-540-44963-9_44
  52. Breda, Ana; Santos, Altino F.. "Well centered spherical quadrangles". Beiträge zur Algebra und Geometrie 44 2 (2003): 539-549. https://eudml.org/doc/227627.
    Published
  53. Carro, R.M.; Breda, A.M.; Castillo, G.; Bajuelos, A.L.. "A methodology for developing adaptive educational-game environments". Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2347 LNCS (2002): 90-99. http://www.scopus.com/inward/record.url?eid=2-s2.0-84874861080&partnerID=MN8TOARS.
    Published • 10.1007/3-540-47952-x_11
  54. Breda, Ana; Craveiro de Carvalho, Francisco José; Wegner, Bernd. "Products, covering spaces and group actions for locally Sierpinski spaces". Rendiconti del Seminario Matematico di Messina. Serie II 20 5 (1998): 127-132. https://zbmath.org/pdf/01531154.pdf.
    Published
  55. Breda, Ana. "A note on octahedral spherical foldings". Portugaliae Mathematica 53 1 (1996): 97-105. https://www.emis.de/journals/PM/53f1/8.html.
    Submitted
  56. Breda, Ana. "Models of plane geometries". Boletim da Sociedade Portuguesa de Matemática 32 (1995): 45-56. https://zbmath.org/?q=an%3A0924.51006.
    Published
  57. Breda, Ana; Farran, Hani Reda; Robertson, Stewart Alexander. "Classical solids". Beiträge zur Algebra und Geometrie 36 2 (1995): 243-259. https://eudml.org/doc/233206.
    Published
  58. Breda, Ana; Craveiro de Carvalho, Francisco José. "Some considerations on Sierpinski space". Boletim da Sociedade Portuguesa de Matemática 28 (1994): 59-63. https://zbmath.org/?q=an%3A0815.54030.
    Published
  59. Breda, Ana; Craveiro de Carvalho, Francisco José. "Transnormal graph surfaces". Beiträge zur Algebra und Geometrie 35 1 (1994): 141-145. https://zbmath.org/?q=an%3A0804.53084.
  60. Azevedo Breda, A.M.; Craveiro de Carvalho, F.J.. "Transnormal graphs of polynomial curves". Journal of Geometry 49 1-2 (1994): 36-41. http://www.scopus.com/inward/record.url?eid=2-s2.0-34249772878&partnerID=MN8TOARS.
    10.1007/BF01228046
  61. Breda, Ana. "Transnormal graphs of polynomial curves". Journal of Geometry (1994): https://link.springer.com/article/10.1007/BF01228046.
  62. Azevedo Breda, A.M.R.; Azevedo Breda, AnaM.R.. "A class of tilings of S2". Geometriae Dedicata 44 3 (1992): 241-253. http://www.scopus.com/inward/record.url?eid=2-s2.0-0142110415&partnerID=MN8TOARS.
    10.1007/BF00181393
Thesis / Dissertation
  1. "Isometric Foldings". PhD, 1989. http://hdl.handle.net/10773/11311.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2025 - Current Sistemas para monotorizar e desenvolver a capacidade cognitiva e física de séniores.
Co-supervisor of Daniela Filipa Pinto Dias
Ciência de Dados (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2022 - Current Modelação Matemática
Supervisor of Carla Patrícia Melício Queiroz
 Matemática - Percurso Educacional (PhD)
Universidade de Aveiro Departamento de Matemática, Portugal
2020 - 2025 Avaliação do raciocínio geométrico de futuros professores de matemática em Angola
Co-supervisor of ABEL LANDO DA ENCARNAÇÃO
 Didática e Desenvolvimento Curricular (PhD)
Universidade de Aveiro Departamento de Educação e Psicologia, Portugal
2022 - 2023 Mediação tecnológica em matemática numa abordagem criativa da semelhança de triângulos
Co-supervisor of Eufresinda Susana da Silva Fernandes
 Ensino de Matemática no 3.º Ciclo do Ensino Básico e no Secundário (Master)
Universidade de Aveiro, Portugal
2022 - 2022 Trilhos Matemáticos pela cidade de Vila do Conde, uma abordagem num contexto de Design Thinking
Supervisor of Maria Helena Carreira Santos de Vilhena Costa
Matemática para Professores (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2019 - 2020 Aplicações da Trigonometria nos Ensinos Básico e Secundário com Suporte no GeoGebra
Supervisor of Rui Paulo Marinho Ferreira Lebre
 Matemática para Professores (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2019 - 2020 O erro como instrumento de apoio aos processos de ensino e aprendizagem: uma experiência com alunos do 7º ano de escolaridade
Supervisor of Cristiana Solange Oliveira Amaral
 Ensino de Matemática no 3.º C. do Ensino Básico e no Secundário (Master)
Universidade de Aveiro, Portugal
2016 - 2019 Spherical tilings, GeoGebra contributions to their combinatorial and geometrical classification.
Supervisor of José Manuel dos Santos dos Santos
 Álgebra Computacional (PhD)
Universidade Aberta, Portugal
2013 - 2018 As tecnologias digitais no apoio ao desenvolvimento do raciocínio matemático de alunos com perturbação do espetro do Autismo
Supervisor of Maria Isabel Gomes dos Santos
 Multimédia em Educação (PhD)
Universidade de Aveiro Departamento de Educação e Psicologia, Portugal
2016 - 2017 Tarefas Didáticas para o Ensino Básico com Recurso ao GeoGebra
Supervisor of LUÍSA ALEXANDRA CARVALHO DE OLIVEIRA
 Matemática para Professores (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2011 - 2016 A não existência de Códigos de Lee perfeitos corretores de 2-erros de palavras de comprimento 7 sobre Z
Supervisor of Catarina Maria Neto Da Cruz
 Matemática (PhD)
Universidade de Aveiro Departamento de Matemática, Portugal
2014 - 2015 Aspetos matemáticos e históricos de um percurso pela arte dos azulejos e frescos de Aveiro
Supervisor of MARIA DE LURDES GANDARINHO CARLOS
 Matemática para Professores (PhD)
Universidade de Aveiro Departamento de Matemática, Portugal
2012 - 2013 Tópicos da História da Trigonometria
Supervisor of DULCE MANUELA MARTINS NOGUEIRA
 Matemática para Professores (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2011 - 2012 LPMAT - software educativo para crianças com necessidades educativas especiais
Supervisor of Maria Isabel Gomes dos Santos
 Ciências da Educação (Master)
2008 - 2012 D-Pavimentações Esféricas Diedrais Triangulares
Supervisor of Patrícia Santos Ribeiro
 Matemática (PhD)
Universidade de Aveiro Departamento de Matemática, Portugal
2006 - 2010 Uma abordagem curricular em matemática no 3º ciclo do ensino básico: um estudo de caso em geometria
Supervisor of Ilda Maria Ferreira do Couto Lopes
 Didática (PhD)
2009 - 2009 Domínios coloridos no estudo de funções complexas de variável complexa
Supervisor of Emília de Mendonça Rosa Marques
 Pós-Doutoramento (Other)
Universidade Estadual Paulista Júlio de Mesquita Filho, Brazil
2004 - 2009 O Desenvolvimento do Raciocínio Dedutivo ao Nível do Ensino Secundário, Recurso e Geometrias Planas
Supervisor of Maria Teresa Bixirão Neto
 Didáctica (PhD)
Universidade de Aveiro Departamento de Educação e Psicologia, Portugal
2007 - 2008 Pavimentações planares por pentágonos convexos e equiláteros
Supervisor of Anabela Valério Marrafa Macedo
2006 - 2007 Geometrias planas
Supervisor of Marta da Silva Lopes
 Matemática (Master)
2006 - 2006 Isometric Foldings
Supervisor of Jose Maria Sigarreta
 Pós-Doutoramento
Fundación Universidad Carlos III, Spain
2002 - 2006 Algoritmos de Aprendizagem Adaptativos para Classificadores de Redes Bayesianas
Co-supervisor of Gladys Castillo Jordan
 Matemática (PhD)
Universidade de Aveiro, Portugal
2002 - 2006 Teoria das Dobragens Isométricas
Supervisor of Altino Manuel Folgado dos Santos
 Ciências Matemáticas (PhD)
Universidade de Trás-os-Montes e Alto Douro, Portugal
2002 - 2002 Adaptive educational mathematical games
Supervisor of Rosa Carro
 Pós-Doutoramento (Other)
Universidad Autónoma de Madrid, Spain
2000 - 2000 Geometrias como grupos de transformação
Supervisor
 Matemática (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2000 - 2000 Espaços localmente de Sierpinski
Supervisor of Rosa Elsa Oliveira Marques
 Matemática (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
Distinctions

Award

2018 Prémio Engenheiro Jaime Filipe
Instituto Nacional para a Reabilitação, Portugal