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JORGE ANTONIO SOTO ANDRADE

Full Professor

UNIVERSIDAD DE CHILE

Santiago, Chile

Mathematics education and cognitive science (teaching and learning, metaphoring, brain-mind connection), mathematics (representation theory, harmonic analysis, random walks), systems theory (autopoietic systems, self-reference, metabolic closure)

Mathematics , Univ. Paris XI. Francia, 1975

Full Professor Full Time

UNIVERSIDAD DE CHILE

Science

Santiago, Chile

1964 - At present

Professor Full Time

UNIVERSIDAD DE CHILE

Santiago, Chile

1964 - At present

During last 3 years (2011-2013, I have been advisor, coadvisor or reviewer of the following theses, in progress, submitted or defended):
Undergraduate theses (7)|:
6 (Baccaleaureat Univ. Chile), 4 completed, 2 in progress, 2013.
1 Psychologist Thesis (Psychology Dept., Faculty of Social Sciences, Univ. Chile), co advisor, submitted, under final revision, 2013
Master Theses (1):
1 Master in Education, Education Dept., Faculty of Social Sciences, Univ. Chile), advisor, submitted, defended, 2013.
Ph. Theses (8):
1 in Mathematics, co advisor, defendeded in 2013, Dept. Math. Faculty of Science, Univ. of Chile
1 in Mathematics, advisor, submitted, under final revision in 2013, Dept. Math. Faculty of Science, Univ. of Chile
1 in Mathematics Education (Dr. Rerum Naturae, Mathematikdidaktik), defended July 2012, co advisor, Universität Augsburg, Germany.
1 in Mathematics Education, co advisor, defended February 2012, Universidad de Huelva, España.
2 in Didactics of Mathematics, in progress 2013, advisor and co-advisor, Universidad Católica de Valparaíso, Chile.
1 in Systems Biology, submitted, reviewer, Dept. of Biology, Faculty of Science, University of Chile.
1 in Bioinformatics, in progress, co-advisor, Bioinformatics Dept., University of California at Santa Cruz, USA

I have presented my research in a short interview periodically broadcasted by CNN Chile TV. I have given dissemination lectures at massive events for primary and secondary school teachers organized by the Chilean Ministry of Education and CIAE in Santiago, in 2012 and 2013. I have facilitated sundry workshops and training programs for primary and secondary school teachers in Puerto Montt, Copiapo, Talca, Parral, besides Santiago.
I am currently collaborating with the Chilean Ministry of Education as an external adviser towards the design and implementation of a new curriculum for mathematics teaching at the elementary and secondary school level.

(ICME 13) International Congress in Mathematical Education

International Committee for Mathematical Instruction (ICMI)

Alemania, 2016

Invited lecturer
Encyclopedia of Mathematics Education

Springerreference

Chile, 2013

Invited contributor (medium article) to this encyclopedia, edited by S. Lerman, available online at springerreference.
Forschungsstipendium

Alexander von Humboldt - Stiftung

Chile, 1979

15 month postdoctoral scholarship in mathematics.


On the realization of the Gelfand character of a finite group as a twisted trace Soto-Andrade, Jorge; Yanez-Valdés, Maria Francisca Article WoS Core Collection Science Index JOURNAL OF GROUP THEORY (2022)
Enactive Metaphorization in the Mathematical Experience, Diaz-Rojas, Daniela; Soto-Andrade, Jorge; Videla-Reyes, Ronnie Article WoS Core Collection. ERIH PLUS CONSTRUCTIVIST FOUNDATIONS (2021)
Fathoming the Enactive Metaphorizing Elephant in the Dark… Diaz-Rojas, Daniela; SOTO ANDRADE, JORGE; Videla-Reyes, Ronnie Article CONSTRUCTIVIST FOUNDATIONS (2021)
Problematizing as an Avatar of Mathematical Activity: Replications and Prospects. Open peer commentary to “Problematizing: The Lived Journey of a Group of Students Doing Mathematics” by Robyn Gandell and Jean-Francois Maheux. Soto-Andrade, J.; Yáñez-Aburto, Alexandraorge Article ISI Web of Science Scopus Constructivistic Foundations (2019)
Teaching Energy Efficiency=> A Cross-Border Public Class and Lesson Study in STEM Isoda, Masami; Araya, Roberto; Eddy, Colleen; Gabriel Matney, Joseph Williams; Joseph, Calfucura; Patricio, Aguirre; Carlos, Becerra; Pablo, Gormaz; Raul, Soto-Andrade; Jorge, Noine; Takeshi, Mena-Lorca; Arturo, Olfos; Raimundo, Baldin; Yuriko, Malaspina Article Interaction, Design and Architecture(s) (IxD&A) (2017)
On the construction of a finite Siegel space Pantoja, Jose; Soto Andrade, Jorge; Vargas, Jorge Article JOURNAL OF LIE THEORY (2015)
Une voie royale vers la pensée stochastique : les marches aléatoires comme pousses d’apprentissage Soto-Andrade, Jorge Article Statistique et Enseignement (2015)
Análisis según el modelo cognitivo APOS del aprendizaje construido del concepto de la derivada, VEGA URQUIETA. MARIA ANGELICA; CARRILLO, JOSE ; SOTO-ANDRADE, JORGE Article BOLEMA (2014)
ECOCAM, A CONTEXT SENSITIVE COMPUTATIONAL SYSTEM TO PROMOTE MENTAL CALCULATION STRATEGIES: DESIGN CHARACTERISTICS AND PRELIMINARY RESULTS Leger, P.; Gálvez G.; Inostroza, M.; Cubillos, L; Luci G.; Tanter É.; Cosmelli, D; Soto-Andrade, J Article ISI REVISTA LATINOAMERICANA DE INVESTIGACION EN MATEMATICA EDUCATIVA-RELIME (2014)
ECOCAM, a context sensitive computational system to promote mental calculation strategies=> Design characteristics and preliminary results [ECOCAM, un sistema computacional adaptable al contexto para promover estrategias de cálculo mental=> Características Leger P., Gálvez G.; Inostroza M., Cubillos L.; Luci G., Tanter É.; Cosmelli D., Soto-Andrade J. Article Revista Latinoamericana de Investigacion en Matematica Educativa (2014)
Ecocam, un sistema computacional adaptable al contexto para promover estrategias de cálculo mental: características de su diseño y resultados preliminares Leger, Paul; Galvez, Grecia; Inostroza, Milton ; Cubillos, Lino; Luci, Gina; Tanter, Eric; Cosmelli, Diego; Soto-Andrade, Jorge Article Revista Latinoamericana de Investigacion en Matematica Educativa (2014)
Teaching modeling skills using a massively multiplayer online mathematics game Araya, R; Jiménez A; Bahamondez M.; Calfucura, P; Dartnell P.; Soto-Andrade, J Article ISI WORLD WIDE WEB-INTERNET AND WEB INFORMATION SYSTEMS (2014)
L’enseignement des mathématiques a l’ère de la mondialisation REYES SANTANDER , PAMELA; SOTO ANDRADE, JORGE Article Quaderni di Ricerca in Didattica (Mathematics) Quaderni di Ricerca in Didattica (Mathematics) (2013)
Self Reference and Fixed Points SOTO ANDRADE, JORGE; Varela, Francisco Article 15th International Conference on Electronics, Communications and Computers, Proceedings (2013)
Estimation of teacher practices based on text transcripts of teacher speech using a support vector machine algorithm Araya, R; Plana, F.; Dartnell P.; Soto-Andrade, J; Luci G.; Salinas E.; Araya M. Article ISI SCOPUS British Journal of Educational Technology (2012)
Tensor products as induced representations: The case of finite GL(3) Aburto-Hageman, L., Pantoja, J., Soto-Andrade, J. Article ISI SCOPUS Mathematical Notes (2012)
Tensor Products as Induced Representations: the case of finite GL(3) (Russian) Aburto-Hageman; Pantoja; Soto-Andrade Article Matematicheskie Zametki: Mathematical Notes, Russian Academy of Science (2012)
(M,R) systems and RAF sets: common ideas, tools and projections Letelier; Jaramillo; Honorato-Zimmer; Pereira; Contreras; Reynaert; Hernandez; Soto-Andrade; Cardenas; Cornish-Bowden Article Proc. ALIFE XII Conference (Odense, Denmark, 2010) (2011)
COGNITIVE STRATEGIES FOR MENTAL CALCULATION Gálvez G.; Cosmelli, D; Cubillos, L; Leger, P.; Mena, A; Tanter É.; Flores, X; Luci G.; Montoya S.; Soto-Andrade, J Article ISI REVISTA LATINOAMERICANA DE INVESTIGACION EN MATEMATICA EDUCATIVA-RELIME (2011)
Geometric Weil representations for star-analogues of SL(2,k) Gutierrez-Frez; Pantoja; Soto-Andrade Article Contemporary Mathematics: Groups, Algebras and Applications (2011)
On generalized Weil representations over involutive rings Gutierrez; Pantoja; Soto-Andrade Article Contemporary Mathematics: New Developments in Lie Theory and Its Applications (2011)
Ouroboros avatars: a mathematical exploration of self-reference and metabolic closure Soto-Andrade; Jaramillo; Gutierrez; Letelier Article Proceedings of the Eleventh European Conference on the Synthesis and Simulation of Living Systems (2011)
Some Thoughts on A. H. Louie's "More Than Life Itself: A Reflection on Formal Systems and Biology" Gutierrez C.; Jaramillo, S; Soto-Andrade, J Article ISI SCOPUS Axiomathes (2011)
Strategies used by students on a massively multiplayer online mathematics game Araya; Jimenez; Bahamondez; Dartnell; Soto-Andrade; Gonzalez; Calfucura Article Proceedings of the 10th ICWL conference Lecture Notes in Computer Science, Vol. 7048. Subseries: Lecture Notes in Artificial Intelligence. (2011)
Closure to efficient causation, computability and artificial life Cardenas; Letelier; Gutierrez; Cornish-Bowden; Soto-Andrade Article Journal of Theoretical Biology (2010)
The effect of analogies on learning to solve algebraic equations Araya, R; Calfucura, P; Jiménez A; Aguirre, C; Palavicino M.A.; Lacourly N.; Soto-Andrade, J; Dartnell P. Article SCOPUS Pedagogies (2010)
BRUHAT PRESENTATIONS FOR *-CLASSICAL GROUPS Pantoja, J; Soto-Andrade, J Article ISI SCOPUS COMMUNICATIONS IN ALGEBRA (2009)
Beyond reductionism: metabolic circularity as a guiding vision for a real biology of systems Cornish-Bowden; Cardenas; Letelier; Soto-Andrade Article Proteomics (2007)
Programming Paradigms and Mind Metaphors: Convergence and Cross-fertilization in the Study of Cognition Cosmelli, D; Soto-Andrade, J; Tanter É. Article ISI SCIELO BIOLOGICAL RESEARCH (2007)
Organizational invariance and metabolic closure: Analysis in terms of (M, R) systems Letelier, JC; Soto-Andrade, J; Abarzua, FG; Cornish-Bowden, A; Cardenas, ML Article ISI SCOPUS JOURNAL OF THEORETICAL BIOLOGY (2006)
Metabolic closure in (M,R) systems Letelier, JC; Soto-Andrade, J; Guinez-Abarzua, F; Cornish-Bowden, A; Cardenas, ML Article Artificial Life IX (2004)
Understanding the parts in terms of the whole Cornish-Bowden, A; Cardenas, ML; Letelier, JC; Soto-Andrade, J; Abarzua, FG Article ISI BIOLOGY OF THE CELL (2004)
A Bruhat decomposition of the group Sl(*) (2, A) Pantoja, J; Soto-Andrade, J Article ISI SCOPUS JOURNAL OF ALGEBRA (2003)
Twisted spherical functions on the finite Poincare upper half-plane Soto-Andrade, J; Vargas, J Article ISI SCOPUS JOURNAL OF ALGEBRA (2002)
Intertwining operators for L2(E) Soto-Andrade, J; Vargas, J Article COMMUNICATIONS IN ALGEBRA (1998)
On mental rotations and cortical activity patterns: A linear representation is still wanted. SOTO ANDRADE, JORGE; Varela, Francisco Article BIOLOGICAL CYBERNETICS
Un monde dans un grain de sable: Métaphores et analogies dans l’apprentissage des mathématiques SOTO ANDRADE, JORGE Article 1604-2004: SUPERNOVAE AS COSMOLOGICAL LIGHTHOUSES


Metaphorising and enacting as means of mathematical transgression, SOTO ANDRADE, JORGE; Soto-Andrade, Jorge; Garcés-Ocares, May; Yáñez-Aburto, Alexandra; Barbara, Pieronkiewicz BookSection (2021)
Acknowledging the Ouroboros: An enactivist and metaphoric approach to problem solving Soto-Andrade, Jorge, Yáñez-Aburto, Alexandra; Felmer, Patricio B. Koichu, P. Liljedahl; Koichu, Boris; Liljedahl, Peter BookSection (2019)
Enactive metaphorising in the learning of mathematics SOTO ANDRADE, JORGE; Kaiser, Gabriele; Forgasz, H; Kuzniak, Alain BookSection (2018)
Random walks in the didactics of probability: Enactive metaphoric learning sprouts SOTO ANDRADE, JORGE; Diaz-Rojas, Daniela; Reyes-Santander, Pamela; Batanero, Carmen; Chernoff, Egan BookSection (2018)
On the role of corporeality, affect and metaphoring in Problem solving Libedinsky, N., Soto-Andrade, J.; Felmer, P.; Kilpatrick, J.; Pehkonnen, E. BookSection (2015)
Metaphors in Mathematics Education SOTO ANDRADE, JORGE; Steve Lerman BookSection DOI 10.1007/SpringerReference_313292 1604-2004: SUPERNOVAE AS COSMOLOGICAL LIGHTHOUSES (2013)
Mathematisches Denken. Grundvorstellungen und Metaphern Reyes Santander, Pamela; SOTO ANDRADE, JORGE; R. Haug R.; Holzäpfel, L. BookSection 1604-2004: SUPERNOVAE AS COSMOLOGICAL LIGHTHOUSES (2011)


Aportes para la articulación entre teoría y práctica en la educación matemática vom Hofe, Rudolf; Puraiván, Eduardo; Ramos-Rodríguez, Elisabeth; Reyes-Santander, P.; SOTO ANDRADE, JORGE; Vargas, Claudia BookWhole (2021)


From concrete to abstract and back: Representation and Metaphor. . Arnoux, Pierre; Soto-Andrade, Jorge; In Jankvist, U. T., Van den Heuvel-Panhuizen, M., & Veldhuis, M. (Eds.) ConferencePaper (2019)
Missing the (Bayesian) wood for the trees? Soto-Andrade, Jorge; J. M. Contreras, M. M. Gea, M. M. López-Martín y E. Molina-Portillo ConferencePaper (2019)
Flexibility in mathematics education: an enactivistic and metaphoric perspective. Soto-Andrade, Jorge; Garcés-Ocares, May; Yáñez-Aburto, Alexandra; Hsieh, F.-J. ConferencePaper (2018)
Mathematical Cognition in Juvenile Offenders : a Case Study, SOTO ANDRADE, JORGE ConferencePaper (2013)
Metaphoric Random Walks: A Royal Road to Stochastic Thinking SOTO ANDRADE, JORGE; B. Ubuz, C. Haser, & M. A. Mariotti ConferencePaper (2013)
Metaphors and Didactical Situations SOTO ANDRADE, JORGE; Lindmeier, A. M.; Heinze, A ConferencePaper PME 37 (37th Conference of the International Group for the Psychology of Mathematical Education) (2013)
Conceptual metaphors and “Grundvorstellungen”: a case of convergence? SOTO ANDRADE, JORGE; Reyes-Santander, Pamela; Pytlak, M.; Rowland, T.; Swoboda, E. ConferencePaper (2011)
Geometric Weil representations for star-analogues of SL(2, k) Gutierrez-Frez, L; Pantoja, J; Soto-Andrade, J ConferencePaper ISI DYNAMICS AND NUMBERS (2011)
On Generalized Weil Representations over Involutive Rings Gutierrez, L.; Pantoja, J; Soto-Andrade, J ConferencePaper DYNAMICS AND NUMBERS (2011)
Strategies used by students on a massively multiplayer online mathematics game Araya, R; Jiménez A; Bahamondez M.; Dartnell P.; Soto-Andrade, J; Gonzalez P.; Calfucura, P ConferencePaper Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2011)
Cognitive transformation in professional development: some case studies SOTO ANDRADE, JORGE; Durand-Guerrier, V.; Soury-Lavergne, S.; Arzarello, F. ConferencePaper CERME 6 (Sixth Conference of European Research in Mathematics Education) (2009)
Metaphors and cognitive styles in the teaching-learning of mathematics SOTO ANDRADE, JORGE; Pitta-Pantazi, D.; Philippou, J. ConferencePaper 15th International Conference on Electronics, Communications and Computers, Proceedings (2007)
En amont de l’ETM: un regard métaphorique. (pp 257-270), Valparaiso, Décembre 2018 Soto-Andrade, Jorge, Yáñez-Aburto, Alexandra; Elizabeth Montoya Delgadillo Philippe R. Richard Laurent Vivier (Editor Jefe) Inés Ma Gómez-Chacón Alain Kuzniak Michela Maschietto Denis Tanguay (Eds) ConferencePaper
Flexibility in mathematics education: an enactivistic and metaphoric perspective. Vol. 2 (pp. 340-349), Taipei: EARCOME. Soto-Andrade, Jorge; Garcés-Ocares, May; Yáñez-Aburto, Alexandra; Hsieh, F.-J. ConferencePaper


Closure to efficient causation, computability and artificial life (vol 263, pg 79, 2010) Cardenas, ML; Letelier, JC; Gutierrez C.; Cornish-Bowden, A; Soto-Andrade, J Errata ISI SCOPUS Journal of Theoretical Biology (2011)


Center of Excellence with Basal Financing - CIAE U. de Chile FONDAP (FB0003) Proyecto 2019-2023 Inv. Principal
Metaforizacion y Enaccion en Didáctica de la Matematica=> Rizomas de Aprendizaje PIA (FB0003) Proyecto 2018-2019 Inv. Responsable
Fachbezogene Partnerschaften=> Didaktische Lehrinnovation in Studiengängen zur mathematischen Grundbildung (Cooperaciones disciplinarias=> Innovación didáctica de la enseñanza y desarrollo curricular en la Formación Inicial en matemáticas.. DAAD (Deutscher Akademischer Austauschdienst) (DAAD PROJECT ID 573 35022, D) Proyecto 2017-2020 Subdirector(a)
“Investigacion del efecto de integración de clases de Matemáticas” FONDEF (15i10017) Proyecto 2016-2018 Coinvestigador(a)
Enseñanza de Matemáticas para estudiantes de la Mención Humanidades y Ciencias Sociales del Programa de Bachillerato Universidad de Chile=> Fondo de Apoyo a la Investigación en Docencia de Pregrado (FIDOP 2016-60 PAB) Proyecto 2016-2017 Inv. Responsable
Metaforización y Enaccion en Didáctica de la Matematica PIA (FB0003) Proyecto 2016-2017 Inv. Responsable
Centers of Excellence with Basal Financing - CIAE U. de Chile FONDAP (FB003) Proyecto 2014-2018 Inv. Principal
GELFAND MODELS AND GROUPOIDS IN GROUP REPRESENTATION THEORY FONDECYT (1140510) Proyecto 2014-2016 Director(a)
Proyecto U-Redes Consolidación=> RIA (Redes Interactivas de Aprendizaje), Universidad de Chile (Fondo Domeyko) Proyecto 2014-2016 Coinvestigador(a)
Comparacion de teorias en didactica de la matematica PIA (CIE-05) Proyecto 2012-2013 Inv. Responsable
GELFAND MODELS AND GROUPOIDS IN GROUP REPRESENTATION THEORY FONDECYT (1120571) Proyecto 2012-2014 Inv. Responsable
Gelfand Models and Groupoids in Group Representation Theory FONDECYT (1120571) Proyecto 2012-2013 Inv. Responsable
PRESENTATIONS AND REPRESENTATIONS OF GENERALIZED GENERAL LINEAR GROUPS, AND APPLICATIONS FONDECYT (1120578) Proyecto 2012-2015 Coinvestigador(a)
Presentations and representations of generalized general linear groups, and applications FONDECYT (1120578) Proyecto 2012-2014 Coinvestigador(a)
Weil Representations and Generalized Classical Groups FONDECYT (1095078) Proyecto 2009-2011 Coinvestigador(a)
Estrategias de Calculo Mental PIA (CIE-05) Proyecto 2008-2010 Inv. Responsable
Estrategias y Herramientas para la enseñanza de la matemática basadas en metáforas FONDEF (D06i1023) Proyecto 2007-2010 Coinvestigador(a)
Geometric Constructions of Group Representations FONDECYT (1070246) Proyecto 2007-2009 Inv. Responsable
Herramientas para la formación inicial de Profesores de matemáticas FONDEF (D05LI0211) Proyecto 2007-2009 Coinvestigador(a)
Proyecto OEA de formación de educadores de la primera infancia (U. Barranquillas, Colombia-Universidad de Chile, Fac. Ciencias Sociales.- U. Kerétaro, México) OEA Proyecto 2002-2005 Investigador(a)


Beyond reductionism: Metabolic circularity as a guiding vision for a real biology of systems Cornish-Bowden, A; Cardenas, ML; Letelier, JC; Soto-Andrade, J Review ISI PROTEOMICS (2007)

JORGE SOTO

Full Professor

MATHEMATICS

UNIVERSIDAD DE CHILE

Santiago, Chile

Pablo Dartnell

Researcher

CIAE

Instituto de Estudios Avanzados en Educación

Santiago, Chile

Roberto Araya

Profesor Titular

Vicerrectoria investigación

Universidad de Chile

Santiago, Chile

Gina Luci

Docente

Educación

Universidad Autónoma de Chile

Santiago, Chile

ERIC TANTER

Profesor Titular

Ciencias de la Computación

UNIVERSIDAD DE CHILE - DEPTO DE CIENCIAS DE LA COMPUTACION

Santiago, Chile

Abelino Jiménez

Asistente de Investigacion

Centro de Investigacion Avanzada en Educacion

Universidad de Chile

Santiago, Chile

Paul Leger

Profesor Asociado

UNIVERSIDAD CATOLICA DEL NORTE -SEDE COQUIMBO

Coquimbo, Chile

Diego Cosmelli

Profesor Asociado y Sub-director de Investigación y Postgrado

Escuela de Psicología

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

Santiago, Chile

Flavio Guiñez

Scientist

Mathematical Engeeniering

Universidad de Chile

Santiago, Chile

JORGE ANTONIO SOTO ANDRADE

Líneas de Investigación

Educación

Mathematics , Univ. Paris XI. Francia, 1975

Experiencia Académica

Full Professor Full Time

Experiencia Profesional

Professor Full Time

Formación de Capital Humano

Difusión y Transferencia

Premios y Distinciones

(ICME 13) International Congress in Mathematical Education

Encyclopedia of Mathematics Education

Forschungsstipendium

Article (37)

BookSection (7)

BookWhole (1)

ConferencePaper (14)

Errata (1)

Proyecto (20)

Center of Excellence with Basal Financing - CIAE U. de Chile

Metaforizacion y Enaccion en Didáctica de la Matematica=> Rizomas de Aprendizaje

Fachbezogene Partnerschaften=> Didaktische Lehrinnovation in Studiengängen zur mathematischen Grundbildung (Cooperaciones disciplinarias=> Innovación didáctica de la enseñanza y desarrollo curricular en la Formación Inicial en matemáticas..

“Investigacion del efecto de integración de clases de Matemáticas”

Enseñanza de Matemáticas para estudiantes de la Mención Humanidades y Ciencias Sociales del Programa de Bachillerato

Metaforización y Enaccion en Didáctica de la Matematica

Centers of Excellence with Basal Financing - CIAE U. de Chile

GELFAND MODELS AND GROUPOIDS IN GROUP REPRESENTATION THEORY

Proyecto U-Redes Consolidación=> RIA (Redes Interactivas de Aprendizaje),

Comparacion de teorias en didactica de la matematica

GELFAND MODELS AND GROUPOIDS IN GROUP REPRESENTATION THEORY

Gelfand Models and Groupoids in Group Representation Theory

PRESENTATIONS AND REPRESENTATIONS OF GENERALIZED GENERAL LINEAR GROUPS, AND APPLICATIONS

Presentations and representations of generalized general linear groups, and applications

Weil Representations and Generalized Classical Groups

Estrategias de Calculo Mental

Estrategias y Herramientas para la enseñanza de la matemática basadas en metáforas

Geometric Constructions of Group Representations

Herramientas para la formación inicial de Profesores de matemáticas

Proyecto OEA de formación de educadores de la primera infancia (U. Barranquillas, Colombia-Universidad de Chile, Fac. Ciencias Sociales.- U. Kerétaro, México)

Review (1)