Tagüeña was born in Frydland, Czechoslovakia.[3] Her father, Manuel Tagüeña, was a physicist, and her mother, Carmen Parga, studied philosophy.[1] Tagüeña is married.[3]
Tagüeña studied Physics at the National Autonomous University of Mexico.[4] She obtained a PhD at Oxford University.[5] Her main field of research are solid-state physics and renewable energies.[2] Tagüeña has written 11 textbooks for high school and undergraduate students and published over 50 articles on solid state research in international journals.[6]
For over 25 years Tagüeña has been a research professor at the National Autonomous University of Mexico (UNAM).[7]
From 2002 to 2005, Tagüeña held the position of the Executive Directorate of the Network for the Popularization of Science and Technology for Latin America and the Caribbean (RedPOP).[4] Between 2004 and 2008, Tagüeña was Director General for the Dissemination of Science in the UNAM.[6]
From 2005 to 2007, she was vice president of the Mexican Association of Museums and Science and Technology Centers.[4] In 2009-2010, Tagüeña was a Secretary of Morelos Academy of Sciences.[6]
From 2010 to 2012, she served as a president of the Mexican Society for the Dissemination of Science and Technology.[4]
For the short period from November 2012 to January 2013 Tagüeña was a Director of the UNAM Energy Research Center, and until March 2013 she was in charge of the office of the Institute of Renewable Energies.[4]
From 2013 to 2018 Tagüeña was the Deputy General Director for Scientific Development at the Mexican National Council of Science and Technology.[2] In January 2019, Tagüeña was appointed as a general coordinator of the Scientific and Technological Advisory Forum and will held this position until 31 December 2020.[4]