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Sandra Ricardo has a degree in Mathematics from the Faculty of Science and Technology of the Nova University Lisboa, a master's degree in Mathematics from the Faculty of Science and Technology of the University of Coimbra, and a Ph.D. in Mathematics from the Institut National des Sciences Appliquées de Rouen, France. She has been a member of the Institute of Systems and Robotics (ISR) at the University of Coimbra since 1997, and of the Centre for Research and Intervention in Education (CIIE) since 2022. She was an invited researcher at Arizona State University, Tempe, Arizona, USA; at the University of Wuerzburg, Germany; at the International School for Advanced Studies (SISSA), Trieste, Italy; at the Institut National des Sciences Appliquées (INSA) de Rouen, France; at CentraleSupélec, University of Paris-Saclay, France. Her research interests include Differential Geometry, Number Theory, and teacher training.
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Identification

Personal identification

Full name
SANDRA ISABEL VENTURA RICARDO

Citation names

  • Ricardo, Sandra

Author identifiers

Ciência ID
C515-8B4C-256F
ORCID iD
0000-0002-8545-6765

Knowledge fields

  • Exact Sciences - Mathematics
  • Social Sciences - Educational Sciences

Languages

Language Speaking Reading Writing Listening Peer-review
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
French
Portuguese (Mother tongue)
Education
Degree Classification
2004 - 2008
Concluded
 PhD in Mathematics - European Doctorate (Doutoramento)
Institut National des Sciences Appliquées de Rouen, France
"Geometry of Mechanical Control Systems with Applications to Systems subject to Second-Order Nonholonomic Constraints" (THESIS/DISSERTATION)
 Très Honorable avec Label Européen
1997 - 2000
Concluded
 Mestrado em Matemática (Mestrado)
Universidade de Coimbra, Portugal
"Controlabilidade em Grupos de Lie" (THESIS/DISSERTATION)
 Muito Bom
1990 - 1995
Concluded
 Licenciatura em Matemática (Licenciatura)
Universidade Nova de Lisboa, Portugal
 16
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2008/10/13 - Current Assistant Professor (University Teacher) Universidade de Trás-os-Montes e Alto Douro Departamento de Matemática, Portugal
2000/07 - 2008/01 Assistant (University Teacher) Universidade de Trás-os-Montes e Alto Douro Departamento de Matemática, Portugal
1996 - 2000 Trainee Assistant (University Teacher) Universidade de Trás-os-Montes e Alto Douro Departamento de Matemática, Portugal
Projects

Grant

Designation Funders
2004/10 - 2007/09 GEOMETRY OF DISTRIBUTIONS WITH APPLICATIONS TO NONLINEAR CONTROL SYSTEMS WITH NONHOLONOMIC CONSTRAINTS
16224DFA
 Fundação para a Ciência e a Tecnologia
2001/04/01 - 2001/08/31 "Nonlinear Control Network"
Training and Mobility of Researchers (TMR)
Researcher
Universidade de Würzburgo (Julius-Maximilians-Universität Würzburg), Germany
 European Commission
Concluded

Contract

Designation Funders
2023/02/01 - 2025/01/31 TeachersMOD - "Future Elementary School Teachers Modernization in Kurdistan"
Project 101083095 - TeachersMOD -ERASMUS-EDU-2022-CBHE
 European Education and Culture Executive Agency (EACEA)
Ongoing
2022/09/29 - 2023/07/11 "Mais Conhecimento Melhor Futuro"
PROJETO MAIS CONHECIMENTO – MELHOR FUTURO
Fundação Calouste Gulbenkian, Portugal
 Fundação Calouste Gulbenkian
Concluded
2020/08/01 - 2021/12/31 Fostering and assessing students' creative and critical thinking skills in higher education
OECD/CERI project
 OECD
Concluded
2016 - 2017 Applications and popularization of mathematics
no reference
Researcher
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 48 - 2011-2012
PEst-C/EEI/UI0048/2011
Universidade de Coimbra, Portugal

Universidade de Coimbra Instituto de Sistemas e Robótica, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book chapter
  1. Catarino, Paula; Ricardo, Sandra. "A Note on Special Matrices Involving k-Bronze Fibonacci Numbers". edited by Yilmaz, F.; Queiruga-Dios, A.; MartínVaquero, J.; Mierlus-Mazilu, I.; Rasteiro, D.; Gayoso Martínez, V., 135-145. Springer International Publishing, 2023.
    10.1007/978-3-031-21700-5_14
  2. Ricardo, Sandra. "On the state equivalence to classes of extended nonholonomic normal forms". In Mathematical System Theory - Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday, 319-343. Australia, 2012.
    Published
  3. Ricardo, Sandra; Respondek, Witold. "State equivalence to the second-order nonholonomic chained form". In Textos de matemática, 95-108. Coimbra, Portugal: Universidade de Coimbra, 2011.
    Published
Conference abstract
  1. Ricardo, Sandra. Corresponding author: Ricardo, Sandra. "Some Properties on Bidimensional Tribonacci numbers". Paper presented in VI International Conference on Mathematics and Its Applications in Science and Engineering (ICMASE 2025), Plovdiv, 2025.
    Published
  2. Ricardo, Sandra. "Transforming Mathematics Education: Lesson Study as a Pathway for Future Teachers". Paper presented in VI International Conference on Mathematics and its Applications in Science and Engineering [ICMASE 2025], Plovdiv, 2025.
    Published
Conference paper
  1. Ricardo, Sandra; Resende, Luana. Corresponding author: Ricardo, Sandra. "APRENDIZAGEM COOPERATIVA E AUTORREGULAÇÃO NO ENSINO DA MATEMÁTICA". Paper presented in P.PIC’25 – Conferência de Inovação Pedagógica do Porto Vol. 8 N.º 3 (2025), Porto, 2025.
    Published
  2. Ricardo, Sandra; Campos, Helena. "IT'S CHRISTMAS TIME, LET'S SHARE! - A PROPOSAL FOR TEACHING AND LEARNING FRACTIONS, DECIMALS AND PERCENTAGES". 2023.
    10.21125/inted.2023.2287
  3. Campos, Helena; Ricardo, Sandra. "BALL IN THE WATER, WHO GETS THERE FIRST? A PROPOSAL FOR LEARNING MATHEMATICS". 2023.
    10.21125/inted.2023.2297
  4. Campos, Helena; Matos, Ana; Ricardo, Sandra. "I'M A MILLIPEDE, I'M DIFFERENT, SO WHAT? - A PROPOSAL FOR TEACHING AND LEARNING STATISTICS". 2022.
    10.21125/iceri.2022.1606
  5. Ricardo, Sandra. "Extended nonholonomic systems with drift". Paper presented in 10th Portuguese Conference on Automatic Control, Funchal, 2012.
    Published
  6. Respondek, Witold; Ricardo, Sandra. "On Linearization of Mechanical Control Systems". Paper presented in Lagrangian and Hamiltonian Methods for Non Linear Control, Bertinoro, 2012.
    Published • 10.3182/20120829-3-IT-4022.00053
  7. Respondek, Witold; Ricardo, Sandra. "Equivalence and equivariants of mechanical control systems". Paper presented in The 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, Florida, USA, 2011.
    Published • 10.1109/CDC.2011.6161374
  8. Ricardo, Sandra; Respondek, Witold. "Control systems that admit a mechanical structure". Paper presented in NOLCOS 2010: 8th IFACSymposium on Nonlinear Control Systems, Bolonha, 2010.
    Published • 10.3182/20100901-3-IT-2016.00291
  9. Ricardo, Sandra; Respondek, Witold. "A geometric characterisation of the second-order nonholonomic chained form". Paper presented in 9th Portuguese Conference on Automatic Control, Coimbra, 2010.
    Published
  10. Ricardo, Sandra; Uwe Helmke; Yoshizawa, Shintaro. "Newton's Method for Optimization in Jordan Algebras". Paper presented in Fifteenth International Symposium on Mathematical Theory of Networks and Systems, Notre Dame, 2002.
    Published
Journal article
  1. Putra, Fredi Ganda; Putra, Rizki Wahyu Yunian; Ricardo, Sandra; Widyawati, Santi; Juraev, Davron Aslonqulovich. "Effectiveness of Meaningful Instructional Design in Improving Students' Mathematical Skills". Journal of Philology and Educational Sciences 3 2 (2024): 58-66. https://doi.org/10.53898/jpes2024325.
    10.53898/jpes2024325
  2. Catarino, P.; Ricardo, Sandra. Corresponding author: Ricardo, Sandra. "The k-Bronze Fibonacci sequence". Journal of Discrete Mathematical Sciences and Cryptography 27 6 (2024): 1753-1764. https://doi.org/10.47974/jdmsc-1721.
    10.47974/jdmsc-1721
  3. Catarino, Paula; Ricardo, Sandra. "On Quaternion Gaussian Bronze Fibonacci Numbers". Annales Mathematicae Silesianae (2022): https://doi.org/10.2478/amsil-2022-0013.
    10.2478/amsil-2022-0013
  4. Ricardo, Sandra; Amaral, Elza; Macedo, Angela; Correia, Elisete. "Estórias da História da Matemática". História da Ciência e Ensino: construindo interfaces 20 (2019): 361-380.
    Published • 10.23925/2178-2911.2019v20espp361-380
  5. Amaral, Elza; Ricardo, Sandra (C515-8B4C-256F); Correia, Elisete; Macedo, Ângela. "Ventos de Mudança no Ensino da Matemática em Portugal resultantes da explosão Científica no pós II Guerra Mundial". História da Ciência e Ensino: construindo interfaces 20 (2019): 811-822.
    Published • 10.23925/2178-2911.2019v20espp811-822
  6. Leite, Argentina; Torres Pereira, Luís; Ricardo, Sandra. "A Evolução da Análise de Sinais Biomédicos no Auxílio ao Diagnóstico Clínico". História da Ciência e Ensino: construindo interfaces 20 (2019): 28-38.
    Published • 10.23925/2178-2911.2019v20espp28-38
  7. Ricardo, Sandra. "Resolução de Problemas e Trabalho Prático na Educação Pré-Escolar e no 1º CEB". Revista de Ciência Elementar 4 4 (2016):
    Published • doi.org/10.24927/rce2016.031
  8. Respondek, Witold; Ricardo, Sandra. "Equivariants of Mechanical Control Systems". SIAM Journal on Control and Optimization 51 4 (2013): 3027-3055. https://doi.org/10.1137%2F11086104x.
    Published • 10.1137/11086104x
  9. Ricardo, Sandra; Respondek, Witold. "When is a control system mechanical?". Journal of Geometric Mechanics 2 3 (2010): 265-302.
    Published • 10.3934/jgm.2010.2.265
  10. Helmke, Uwe; Yoshizawa, Shintaro. "Newton's algorithm in Euclidean Jordan algebras, with applications to robotics". Communications in Information and Systems 2 3 (2002): 283-298. https://doi.org/10.4310%2Fcis.2002.v2.n3.a5.
    Published • 10.4310/cis.2002.v2.n3.a5
Manual
  1. Santos, Altino; Ricardo, Sandra. Tópicos de Análise Matemática em R^n. Lisboa, Portugal: Edições Sílabo. 2018.
  2. Santos, Altino; Ricardo, Sandra. Tópicos de Análise Matemática em R^n. Lisboa, Portugal: Edições Sílabo. 2014.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2019/05/13 Invited Speaker - The Geometry of Mechanical Control Systems with some Applications Analysis Seminar
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal (Portugal)
2019/01/23 Invited Speaker - The Geometry of Mechanical Control Systems with some Applications Seminar of the Geometry Group of the Mathematics Centre of the University of Coimbra
Universidade de Coimbra Departamento de Matemática, Portugal (Coimbra, Portugal)
2012/05/11 Invited Speaker - The geometry of mechanical control systems with applications Séminaire de la division Systèmes du Laboratoire des Signaux et Systèmes (LSS),
Supélec, Université Paris Sud (Gif-sur-Yvette, Paris, France)
2012/01/17 Invited Speaker - A tour through the geometry of mechanical control systems Exploratory Workshop on Geometric Control Theory and Applications to Engineering
Instituto de Ciencias Matemáticas (ICMAT) (Madrid, Spain)
2011/02/11 Invited Speaker - The Geometry of mechanical control systems and applications Workshop on the Interface Between Mathematics, Science and Engineering
Instituto Superior Técnico (Lisbon, Portugal)
2010/07/07 Invited Speaker - The Geometry of Mechanical Control Systems with Applications IV International Summer School on Geometry, Mechanics and Control
Universidade de Santiago de Compostela (Santiago de Compostela)

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2010/09/08 - 2010/09/10 "Special session on Geometric Control Theory - A Tribute to Professor Fátima Silva Leite on the Occasion of her 60th Birthday" at the Conference CONTROLO'2010 9th Portuguese Conference on Automatic Control. (2010/09/08 - 2010/09/10) Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2024/02/23 Jogos e desafios matemáticos em Educação Pré-escolar e no 1.º Ciclo do Ensino Básico
(Thesis) Arguer
 Cristiana Pinheiro dos Santos (Master)
Universidade de Trás-os-Montes e Alto Douro, Portugal
2021/05/31 A integração de meios e recursos de ensino nas aulas de Matemática do 1.º e 2.º Ciclos do Ensino Básico
(Thesis) Arguer
 Luís Monteiro (Master)
Universidade de Trás-os-Montes e Alto Douro, Portugal
2020/06/19 A literatura para a Infância no Ensino da Matemática - um estudo no 1.º Ciclo do Ensino Básico Raquel Silva (Master)
Universidade de Trás-os-Montes e Alto Douro, Portugal
2011 Controlo Cinemático de Manipuladores Redundantes e Hiper-Redundantes em Trajectórias Periódicas Maria da Graça Marcos (PhD)
Universidade de Trás-os-Montes e Alto Douro, Portugal

Association member

Society Organization name Role
1997/10 - Current Instituto de Sistemas e Robótica
1996/10 - Current Sociedade Portuguesa de Matemática

Conference scientific committee

Conference name Conference host
2025/11/12 - 2025/11/14 IV Congresso Internacional de História da Ciência no Ensino
2024/12/12 - 2024/12/13 XVI Seminário Internacional do Programa Doutoral em Ciências da Educação FPCEUP
2024/11/13 - 2024/11/15 4th International Conference on Technology and Innovation in Learning, Teaching and Education (TECH-EDU’24) Khalifa University, Abu Dhabi, United Arab Emirates (UAE)
2024/07/17 - 2024/07/19 16th APCA International Conference on Automatic Control and Soft Computing Faculty of Engineering, University of Porto, Portugal
2022/07/06 - 2022/07/08 15th APCA International Conference on Automatic Control and Soft Computing (CONTROLO 2022) Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
2021/10/26 - 2021/10/29 II Congresso Internacional de História da Ciência no Ensino Pontifícia Universidade Católica de São Paulo, Brazil
2020/07/01 - 2020/07/03 14th International Conference on Automatic Control and Soft Computing (Controlo 2020) Instituto Politécnico de Bragança

Other jury / evaluation

Activity description Institution / Organization
2016 - 2016 Júri do concurso para atribuição de duas Bolsas de Iniciação Científica (BIC), no âmbito do projeto UID/MAT/00013/2013, financiado pelo Orçamento do Estado com o apoio financeiro da FCT/MCTES através de fundos nacionais (PIDDAC). Centro de Matemática (CMAT) da Universidade do Minho, Portugal
2016 - 2016 Júri do concurso para atribuição de duas Bolsas de Investigação (BI) no âmbito do projeto UID/MAT/00013/2013, financiado pelo Orçamento do Estado com o apoio financeiro da FCT/MCTES através de fundos nacionais (PIDDAC). Centro de Matemática (CMAT) da Universidade do Minho, Portugal
Distinctions

Other distinction

2017 Third position of the "Top 10 most read articles" in the Journal of Geometric Mechanics, AIMS
American Institute of Mathematical Sciences, United States
2004 Best Junior Presentation Award at the First CTS (Control Training Site) Workshop
First CTS (Control Training Site) Workshop, Portugal
1995 Prémio "Melhor aluno(a) da licenciatura em Matemática 1990-1995"
Universidade Nova de Lisboa, Portugal