Compartimos algunas lecturas generales, recomendadas en el contexto de las actividades proyectadas en CEMATi:

(Rev. 2022.04.21)

[ver también: CONRICyT]

{En Memoria de Alexander Grothendieck.: ⇒Did Earlier Thoughts Inspire Grothendieck?  | Notes on the life and work of Alexander Grothendieck (by P. Progacz) |  A.G. : de la luz a la sombra | ⇒OBM}

(Especiales [⇒ Mathematics PhD Theses. Univ. of Reading | Conant-Prizes | Chauvenet Prizes |CompMath PRIMESHistoriaAftWM Quanta Prieto | The Art of Proof Advice Vázquez | TZALOA ])

  1. ℵ[Academia] (2014) ⇒How do mathematicians conduct research? [acc. 2015.04.04]
  2. Aldous, David (2012) Another Conversation with Persi Diaconis. [acc. 2014.03.18]
  3. Alexander, James C. (2008) Mathematical Blending.  Case Western Reserve Univ. [acc. 2017.03.16]
  4. Badger, M. C. et al. (2012) Teaching Problem-Solving in Undergraduate Mathematics. [acc. 2013.10.24]
  5. Ball, John; Martha Sanz-Solé (2006) Are pure and applied mathematics drifting apart?. ICM 2006 Closing round table. [acc. 2018.08.14]
  6. Bailey, David. H, Borwein, Jonathan M. (2011) Exploratory Experimentation and Computation. Notices of the AMS. [acc. 2013.12.06]
  7. Bamberger, Louis et al. [1930-39] Establishing the Institute for Advanced Study. {→Libraries and Archives} [acc. 2013.12.27]
  8. Barany, Michael J., Donald MacKenzie (2011) Chalk: Materials and Concepts in Mathematical Research. {preprint} [acc. 2014.10.05]
  9. Barany, Michael J. (2010) Mathematical Research in Context. [acc. 2013.12.26]
  10. Bass, Hyman (2011) A Vignette of Doing Mathematics: a Meta-cognitive Tour of the Production of Some Elementary Mathematics. TMME, vol. 8, no. 1&2, p.3 [acc. 2013.12.27]
  11. [BCPS] (2010) Subject-specific research mathematics. {⇒High-School Research Course} [acc. 2015.04.04]
  12. Berman, F. (1999) Building a Research Career. UCSD [acc.2014.12.31]
  13. Bernstein, Dennis S. (1999) A Student’s Guide to Research. IEEE Control Systems [acc. 2014.03.11]
  14. Bertsekas, Dimitri 2002) Ten simple rules for mathematical writing. [acc. 2014.12.23]
  15. Blomhøj, Morten & Susana Carreira (2009) Mathematical applications and modelling in the teaching and learning of mathematics [Proceedings] [acc. 2013.10.20]
  16. Boas, Harold P. & Susan C. Geller (2006) Survey of Mathematical Problems: Student Guide. Texas A&M University. {acc. 2018.05.25}
  17. Borovik, Alexandre (2007) Mathematics under the Microscope. MIMS EPrint: 2007.112, Univ. of Manchester. [acc. 2015.04.01]
  18. Borwein, Jonathan M. (2004) Mathematics by Experiment: Plausible Reasoning in the 21st. Century. [acc. 2013.11.26]
  19. Borwein, Jonathan M. Bailey David. H. (2003) Mathematics by Experiment: Plausible Reasoning in the 21st Century and Experiments in Mathematics: Computational Paths to Discovery. [acc. 2015.04.29] {⇒Book Review}
  20. Bosch, Carlos; García, César L. (2016) Alexandre Grothendieck: de la luz a la sombra. Miscelánea Matemática 62 pp. 45-61. [acc. 2022.04.21]
  21. Bressan, Ana María y Gallego, María Fernanda (2011) La Educación Matemática Realista: Bases Teóricas. III Congreso Nacional de Matemática y Problemáticas de la Educación Contemporánea. Argentina [acc. 2011.12.28]
  22. Browder, Félix E. (1988) Mathematics and the Sciences.Minnesota Studies in Philosophy of Science, Vol. XI [acc. 2013.12.26]
  23. Brown, Ronald and Timothy Porter (c. 1994) The Methodology of Mathematics. [acc. 2014.04.22]
  24. Buckley, Stephen M. (2013) Why do research in pure mathematics? Irish Math. Soc. Bulletin Number 72, pp. 39–44 [acc. 2015.08.02]
  25. Buldt, Bernd et al. (2008) Towards a New Epistemology of Mathematics. [acc. 2015.04.10]
  26. Calude, C. S.; S. Marcus (2004) Mathematical Proofs at a Crossroad?CDMTCS-236 Technical Report. [acc. 2014.04.27]
  27. Castillo-Chávez, Carlos (c. 2012) Passion & Discipline: building blocks of success. Interview [acc. 2013.03.03] {Si no está disponible, se recomienda el siguiente artículo de su hija Melissa Castillo-Garsow: From rockstar researcher to selfless mentor: a daughter’s perspective. [2016.12.25]}
  28. Chatterji, Indira, [Ed.] (2006) Guido’s book of conjectures.  [acc. 2012.09.28] {obs. ya no está disponible, 2014.03.17}
  29. Chen, Louis et al. (2010) Celebrating 10 years of mathematical synergy. IMS. [acc. 2015.01.05]
  30. Ciesielska, D.; Ciesielski, K. (2018) Equidecomposability of Polyhedra: A Solution of Hilbert’s Third Problem in Kraków before ICM 1900. The Mathematical  Intelligencer 40(2) 55-63. [acc. 2022.04.21]
  31. Connely, J. (2012) Mathematical Competitions in Hungary: Promoting a Tradition of Excelence & Creativity. TME, vol9, nos.1&2, p .37 [acc. 2013.12.31]
  32. Courant, Richard y Herbert Robbins (1979) ¿Qué es la matemática?: una exposición elemental de sus ideas y métodos. Editorial Aguilar. [acc. 2016.08.01]
  33. Cuoco, Al; E. Paul Goldenberg; June Mark (1996) Habits of Mind: An organizing principle for mathematics curriculum. The J. of Mathematical Behavior Vol. 15, Issue 4. [acc. 2014.04.24]
  34. da Ponte, João Pedro (2007) Investigations and explorations in the mathematics classroom. ZDM 39 (5-6) 419-430. [Ficha] [acc. 2014.06.25]
  35. de la LLave, Rafael, et al. (2001) New Technologies on Mathematical Research. [acc. 2013.12.26]
  36. ℵDeloitte (2012) Measuring the Economic Benefits of Mathematical Science Research in the UK: Final Report. [acc. 2015.04.01]
  37. Dembski, W. A. (2002) The pragmatic nature of mathematical enquiry. [acc. 2014.12.22]
  38. Dorff, Michael et al. (c. 2015) Successfully Mentoring Undergraduates in Research: A How To Guide for Mathematicians. [acc. 2018.05.25]
  39. ♦Etingof, Pavel (c. 2011) How to Succeed in Mathematical Research. Chief Research Advisor of Primus Research Program(MIT Mathematics). [acc. 2012.09.10]
  40. ♦Etingof, Pavel et al. (2014) PRIMES: Program for Research in Mathematics, Engineering and Science for High School Students. [acc. 2014.1222]
  41. Fleron, Julian et al. (2014) Discovering the Art of Mathematics: Proof as sense-making. [acc. 2015.01.02]
  42. Frenkel, Edward (2013) Love & Math: the Heart of Hidded Reality. Samples. Basic Books [acc. 2014.12.30]
  43. Gadanidis, George (2012) Why can’t I be a mathematician? (For the Learning of Mathematics, 32:2) [acc. 2013.09.10]
  44. ℵGallian, Joseph A., Editor (2007) Proceedings of the Conference on Promoting Undergraduate Research in Mathematics. AMS [acc. 2015.04.02]
  45. Gitler, Samuel (1986) Discurso de ingreso al Colegio Nacional. México [acc. 2013.11.01]
  46. Gowers, Timothy et al. (2014) ⇒Advice to a Young Mathematician. From The Princeton Companion to Mathematics. Edited by Timothy Gowers, June Barrow-Green and Imre Leader (assoc. editors). Princeton Press. [acc. 2014.12.17]
  47. Greenwald, Suzanne B. & Haynes R. Miller  (2007) ⇒Computer-assisted Explorations in Mathematics: Pedagogical Adaptations Across the Atlantic. [acc. 2015.07.24]
  48. Griffiths, H. Brian (1971) Mathematical Insight and Mathematical Curricula. Educational Studies in Mathematics 4 (1971) pp. 153-165, Reidel Publ. Co. {⇒ver “A Tribute” acc. 2015.01.25} [SpringerLink, acc. 2011.12.18]
  49. Haddad, R.; Knuth, D. (1985) A Programming and Problem-Solving Seminar. Report No. STAN-CS-85-1055. (Curso CS204) Department of Computer Science, Stanford University. [acc. 2009.06.04]
  50. Hall, Peter (2012). Interview with Gus Lehrer. Asia Pacific Mathematics Newsletter. [acc. 2012.12.30]
  51. Hamada, Michael; Sitter, Randy (2004) Statistical Research: Some Advice for Beginners. The American Statistician 58:2, 93-101. @0717
  52. Hamming, R. W. (1980) The Unreasonable Effectiveness of Mathematics. MAA [acc. 2014.04.28]
  53. Hausperger, Deanna; Steve Kennedy (1998) Is an REU for you?. MAA [acc. 2014.03.17]
  54. Hendricks, V. H. y O. Roy (2010) “Robert Aumann” interviewed by O. Roy. Epistemic logic: 5 questions. [acc. 2012.12.30]
  55. Hiriart-Urruty, Jean-Baptiste, (2009) A New Series of Conjectures and Open Questions in Optimization and Matrix Analysis. [acc. 2013.10.22]
  56. Houston, Kevin (2010) 10 Ways to Think Like a Mathematician. Pamfleto que acompaña al libro How to Think Like a Mathematician(como muestra ver archivo que contiene los capítulos 3 y 4) [acc. 2013.01.03]
  57. Jackson, Allyn (2009) A Trio of Institutes. AMS Notices. [acc. 2017.06.30]
  58. Jaramillo López, Carlos Mario y Esteban Duarte, Pedro Vicente (2006) Enseñanza y aprendizaje de las estructuras matemáticas a partir del modelo de Van Hiele. Revista Educación y Pedagogía, Medellin. Vol, XVIII, No. 45, pp. 109-118 [acc. 2011.12.28]
  59. Johnson, Allan M. (2011) Charting a course for a successful research career: a guide for early career researcher, 2ed. Elsevier [acc. 2013.01.01]
  60. Kaiser, J. F. (1986) Richard Hamming: You and Your Research. Transcription of the Bell Communications Colloquium Seminar (7 march 1986) [acc. 2012.12.30]
  61. Kempthorne, L. (2015) “Relations between Modern Mathematics and Poetry: Czesław Miłosz; Zbigniew Herbert; Ion Barbu/Dan Barbilian“. Doctoral Thesis. Victoria Univ. of Wellington.
  62. Keyfitz, Barbara Lee (2006) Women Mathematicians in the Academic Ranks: A Call to Action. [acc. 2015.05.02]
  63. Khan, Steven Kamaluddin (2012) Rehersing a maroon mythopoetics in mathematics education through consideration of an artifact of mathematics popularization (the pedagogical filmAll is Number). PhD Dissertation [acc. 2013.12.27]
  64. Kitchens, A. N.; Wenta, R. G. (2007) Merging Invitational Theory with Mathematics Education: A Workshop for Teachers.  Journal of Invitational Theory and Practice—Volume 13. [acc. 2018.06.25]
  65. Kontorovich, Igor (2012) Interesting Mathematical Problem?: a perception analysis of 22 adult participants of the competition movement. {→Related paper} [acc. 2014.01.05]
  66. Körner, T. W. (2013) The Naked Lecturer. [acc. 2018.08.04]
  67. Krantz, Steven G. (2006) An Episodic History of Mathematics: Mathematical Culture through Problem Solving. [acc. 2015.01.25]
  68. Laba, Izabella (2014) Photography. [acc. 2018.08.14]
  69. Lady, Lee (2008) How Does One Do Mathematical Research (Or Maybe How Not To). {2019.07.07}
  70. Lazebnik, Felix (2014) Surprises. Mathematics Magazine, Vol. 87, No. 3. pp. 212-221.
  71. ℵLevasseur, Ken (2015) Introduction to Research in the Classroom. [acc. 2015.04.04]
  72. Lin, Kathy & Haynes Miller (2014) A Laboratory Course in Mathematics. MIT [acc. 2014.12.30]
  73. [MAA] (2014) MathFest 2014 Prizes and Awards. [acc. 2015.01.25]
  74. Mann, Eric. L. (2006) Creativity: The Essense of Mathematics[acc. 2013.12.07]
  75. Martin, W. J. (2007). Doing University Mathematics. Dept. of Mathematical Sciences. Worcester Polytechnic Institute. [acc. 2012.01.21]
  76. McLennan, Andrew (2009) The Nature and Origins of Modern Mathematics: an Elementary Introduction. [acc. 2015.01.25]
  77. Monaghan, John, et al. (2014) The Life of Modern Homo Habilis Mathematicus: Experimental Computation and Visual Theorems. {Chapter Book: John Monaghan, Luc Troche and Jonathan Borwein, Tools and mathematics: Instruments for learning, Spring-Verlag, 2015} [acc. 2015.03.08]
  78. Moreira, J. (2014) Artur has a problem: how a great mathematician is made. Revista Piauí, 95 [acc. 2014.11.10]
  79. Nguyen, Hieu D. (2011). Exploring Patterns of Integer Sequences. Based on Mathematica 8.0 [acc. 2013.11.26]
  80. National Research Council (2013). The Mathematical Sciences
    in 2025. Washington, D.C.; The National Academies Press. [acc. 2017.06.30]
  81. Nutchey, David (2011) Towards a model for the analysis and description of mathematical knowledge and understanding. PhD. Dissertation [acc. 2014.01.02]
  82. Oort, Frans (2014) Did Earlier Thoughts Inspire Grothendieck?International Press [acc. 2014.11.17]
  83. Prieto, Carlos (2001) El futuro promisorio de las matemáticas. Revista Ciencia 52 (3) 44-54 [acc. 2015.01.16]
  84. Radford, Luis (2016) Mathematics and Mathematics classroom activity through the lens of a metaphor. In M. Iori (Ed.), La Matematica e la sua Didattica/ Mathematics and Mathematics Education. In occasion of the 70 years of Bruno D’Amore (pp. 439-446). Bologna: Pitagora Editrice. [acc. 2017.07.13]
  85. ℵReiter, Ashley  (1995) Writing a research paper in mathematics. [acc. 2013.11.12]
  86. [Research Councils] (2001) Joint Statement of the UK Research Councils’ Training Requirements for Research Students. [acc. 2013.01.01]
  87. Reznick, Bruce (2005) One introduction to mathematical research. [acc. 2013.11.11]
  88. Roberts, Gareth E. (2008) Conducting mathematical research with undergraduates. [acc. 2014.03.11]
  89. Sandwing, Chris. (2011) Modelling the journey from elementary word problems to mathematical research, NOTICES of the AMS, Vol. 58, No. 10, pp. 1436-1445. [acc. 2011.12.18]
  90. Sfard, Anna; et al. (1998) Learning Mathematics through Conversation: Is It as Good as They Say?. For the Learning of Mathematics 18, 1 {14Y19}
  91. Sfard, Anna (2005) What could be more practical than good research?.  On mutual relations between research and practice of mathematics education. Educational Studies in Mathematics 58: 393–413. Springer. {14Y19}
  92. Sfard, Anna: Prusak, Anna (2005) Identity that makes a difference: substantial learning as closing the gap between actual and designated identities. In Chick, H. L. & Vincent, J. L. (Eds.). Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1, pp. 37-52. Melbourne: PME {14Y19}
  93. Sfard, Anna (2007) When the Rules of Discourse Change, but Nobody Tells You: Making Sense of Mathematics Learning From a Commognitive Standpoint. The Journal of the Learning Sciences,  16(4), 567–615.  Copyright © Lawrence Erlbaum Associates, Inc. {14Y19}
  94. Sinha, Virendra P. (2005) Mathematics Teaching Beyond 2000: Some Loud Thinking [acc. 2013.12.25]
  95. Sørensen, Henrik Kragh (2009) Exploratory experimentation in experimental mathematics: A glimpse at the PLSQ algorithm. [acc. 2013.12.06]
  96. Sriraman, Bharath (2004) The Characteristics of Mathematical Creativity. The Mathematics Educator, Vol. 14, No. 1, 19–34 [acc. 2018.08.14]
  97. Sussman, Gerald Jay; Jack Wisdom. (2002) The Role of Programming in the Formulation of Ideas. MIT [acc. 2013.01.09]
  98. Stevens, Glenn (2001) PROMYS for Teachers: Learning in the Spirit of Exploration, MER Forum, Vol. 13, No. 3, Summer 2001, pp. 7-10. {→visitar PROMYS} [acc. 2012.01.15]
  99. Tall, David (2008) The Transition to Formal Thinking in Mathematics. Mathematics Education Research Journal, Vol. 20, No. 2, pp. 5-24 [acc. 2011.12.28]
  100. Tall, David (2009) The development of mathematical thinking: problem-solving and proof. In Celebration of the academic life and inspiration of John Mason [acc. 2014.04.01]
  101. ∑Tao, Terence (2007) Career Advise. [acc. 2014.03.17]
  102. Tao, Terence (2007) What is good mathematics? Bulletin (New Series) of the AMS, Vol. 44, No. 4, october 2007, pp. 623-634. [PDF, 12 pp., acc. 2011.12.27]
  103. ℵThe Research Council of Norway (2013) Follow-up plan for the evaluation of research in mathematics. [acc. 2015.04.01]
  104. Thompson, J. Michael T. (2012) Advice to a young researcher: with reminiscences of a life in science. [acc. 2013.01.01]
  105. Thurston, William P. (1990) Mathematical education. Notices of the AMS 37, pp. 844-850 [acc. 2014.12.30]
  106. Thurston, William P. (1994) On proof and progress in mathematics. Bulletin of the AMS 30(2) 161-177 [acc. 2014.12.30]
  107. ∀Tucker, Alan (2013) The History of the Undergraduate Program in Mathematics in the United States. American Mathematical Monthly, MAA [acc. 2015.01.25]
  108. Van Kerkhove, Bart, et al. (2005) Mathematical Practice and Naturalist Epistemology: Structures with Potential for Interaction. Philosophia Scientiæ 9 cahier 2 [acc. 2013.12.27]
  109. Vazquez, Juan Luis (2001) The Importance of Mathematics in the Development of Science and Technology. [2019.10.28]
  110. Vazquez, Juan Luis (2002) Matemáticas, Ciencia y Tecnología: una relación profunda y duradera. [acc. 2014.11.28]
  111. Vempala, Santosh, S. (c. 2010) Recent Progress and Open Problems in Algorithmic Convex Geometry. [acc. 2013.10.22]
  112. Veomett, Ellen (2012) An IMMERSE-Style Course Brings a Research Experience to Students and Faculty. Notices of the AMS [acc. 2012.11.11]
  113. Wells, C. (2009) ⇒A Handbook of Mathematical Discourse. Case Western Reserve University [acc. 2015.06.15]
  114. Wilf, Herbert S. (2005) Mathematics: an experimental science. [acc. 2013.10.04]
  115. Whitney, Hassler (1985) Letting research come naturally. [acc. 2015.01.05]
  116. ♦Wolcott, Frank Lucas (2013) On Contemplation in Mathematics. Journal of Humanistic Mathematics: Vol. 3: Iss. 1, pages 74-95.  [acc. 2013.12.26]
  117. Yeo, J.; Yeap, B. (2010) Characterising the Cognitive Processes in Mathematical Investigation. International Journal for Mathematical Teaching and Learning [acc. 2012.09.05]
  118. Yerushalmi, Michal (2008) Software for Mathematical Explorations. University of Haifa [acc. 2014.03.04]
  119. Yu, G. et al. (2019) Ronald G. Douglas: A Master in the Art of Transcending Problems. Notices of the AMS. {2019.10.27}
  120. Zhao, L. (2004) Research and Intuition. [acc, 2015.01.25]
  121. Zuccala, A. A. (2004) Revisiting the invisible college: a case study of the intellectual structure and social process of singularity theory research in mathematics. PhD Dissertation. [acc. 2014.12.22]

Selección de lecturas técnicas para temáticas de exploración e investigación

Textos orientados a educación matemática