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Ortiz, Arturo
Mexican Petroleum Institute
Mexico City, Mexico
 
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Throughout his life, Arturo Ortiz-Tapia has found that doing mathematics is not only about developing the subject itself, but also about communicating it to people who are not necessarily mathematics colleagues. There are several periods in his life where he worked as a science popularizer in general, and as mathematical expositor in particular.

Arturo first read about Martin Gardner’s magical mathematics when he was only eight years old. Ever since, he’s been convinced that explaining how you arrive at a brilliant mathematical conclusion is as important as the conclusion itself. The cognitive scaffolding matters. He has been inspired by many science popularizers: Carl Sagan, Hannah Fry, Stephen Hawking, Marcus du Sautoy, and Julieta Fierro, to name just a few. The inspiration he got from them led to his commitment to becoming a better expositor in education (especially now, as a high school teacher). At this point in his life, Arturo is embracing his desire to become a full-time teacher.

Most of Arturo’s working life has dealt with the development of systematic modeling, in particular mathematical modeling of deterministic and/or stochastic systems. As a scientific researcher at the Mexican Petroleum Institute (IMP) for over 16 years, he applied systematic modeling to several problems concerning flow and transport in porous media, that is, multi-physics problems. Thus, even though the research conceptually started with physical phenomena, most of his time was spent applying mathematics in one way or another. He often manipulated data for further analysis, including the computational implementation of the numerical models. Although primarily concerned with research, the results were aimed at given projects, and thus he could do data and modeling analysis targeted to a given purpose.

Arturo teaches, tutors, and mentors mostly, but not exclusively, in mathematics. His first assistant professor position was at the Technological Institute of Celaya teaching linear algebra. He is occasionally invited by local high schools to give a conference on a requested subject. Arturo has directed two engineering dissertations and advised more than 20 student projects. He believes teaching is more than just knowing the subject; it is also knowing the cognitive processes that students undergo, in order to pinpoint any difficulties they might have.

In 2001, Arturo received his PhD in physics from Czech Technical University in Prague. He has been a reviewer for Computing Reviews since 2007, with more than 50 reviews.

 
 
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   History of “Gaussian” elimination
Joseph Grcar. YouTube, 01:24:37, published on Feb 6, 2015, ICMEStudio, https://www.youtube.com/watch?v=KxmmYve4AX0. Type: Video

The first interesting fact made clear in this talk is that Gaussian elimination, as we know it today, has its origins so far back in time that certainly in the beginning it was neither “Gaussian” nor “elim...

Jul 22 2016  
  Machine learning for first-order theorem proving
Bridge J., Holden S., Paulson L. Journal of Automated Reasoning 53(2): 141-172, 2014.  Type: Article, Reviews: (2 of 2)

Bridge and colleagues have developed a methodology of machine learning for theorem proving that uses real-valued features of the problem at hand and determines in a rigorous manner and with fewer preconceptions the possible connections...

Jul 22 2015  
   Solving differential equations in R
Soetaert K., Cash J., Mazzia F., Springer Publishing Company, Incorporated, New York, NY, 2012. 264 pp.  Type: Book (978-3-642280-69-6)

Upon encountering the title of this book, one might wonder what type of differential equations R can solve. It turns out that R can be used to address initial value problems (IVPs), using popular and successful methods such as LSODE (A...

Oct 15 2012  
   Numerical treatment of a Volterra integral equation with space maps
Annunziato M., Messina E. Applied Numerical Mathematics 60(8): 809-815, 2010.  Type: Article

Fundamental in the numerical solution of any integral equation is the discretization process. Annunziato and Messina describe a heterogeneous process of discretization for the space and temporal variable. Using a contraction theorem in...

Aug 26 2010  
   Handbook of practical logic and automated reasoning
Harrison J., Cambridge University Press, New York, NY, 2009. 702 pp.  Type: Book (9780521899574), Reviews: (2 of 2)

At first glance, one may be inclined to judge this book as a manual for practicing Objective Caml (OCaml), but this is not the case. OCaml is used to exemplify how a functional language can be used for automated theorem proving (or att...

Sep 4 2009  
   Five perspectives on computer game history
Pargman D., Jakobsson P. interactions 14(6): 26-29, 2007.  Type: Article, Reviews: (3 of 3)

Many books and papers concerning the history of computer games (as with history in general) attempt to build upon a timeline that is not always linear. This is because several technological changes either occurred simultaneously or wer...

Feb 6 2008  
 
 
 
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