Man

JORGE ANTONIO SOTO ANDRADE

Full Professor

UNIVERSIDAD DE CHILE

Santiago, Chile

Líneas de Investigación


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)

Educación

  •  Mathematics , Univ. Paris XI. Francia, 1975

Experiencia Académica

  •   Full Professor Full Time

    UNIVERSIDAD DE CHILE

    Science

    Santiago, Chile

    1964 - At present

Experiencia Profesional

  •   Professor Full Time

    UNIVERSIDAD DE CHILE

    Santiago, Chile

    1964 - At present

Formación de Capital Humano


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


Difusión y Transferencia


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.


Premios y Distinciones

  •   (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.


 

Article (37)

On the realization of the Gelfand character of a finite group as a twisted trace
Enactive Metaphorization in the Mathematical Experience,
Fathoming the Enactive Metaphorizing Elephant in the Dark…
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.
Teaching Energy Efficiency=> A Cross-Border Public Class and Lesson Study in STEM
On the construction of a finite Siegel space
Une voie royale vers la pensée stochastique : les marches aléatoires comme pousses d’apprentissage
Análisis según el modelo cognitivo APOS del aprendizaje construido del concepto de la derivada,
ECOCAM, A CONTEXT SENSITIVE COMPUTATIONAL SYSTEM TO PROMOTE MENTAL CALCULATION STRATEGIES: DESIGN CHARACTERISTICS AND PRELIMINARY RESULTS
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
Ecocam, un sistema computacional adaptable al contexto para promover estrategias de cálculo mental: características de su diseño y resultados preliminares
Teaching modeling skills using a massively multiplayer online mathematics game
L’enseignement des mathématiques a l’ère de la mondialisation
Self Reference and Fixed Points
Estimation of teacher practices based on text transcripts of teacher speech using a support vector machine algorithm
Tensor products as induced representations: The case of finite GL(3)
Tensor Products as Induced Representations: the case of finite GL(3) (Russian)
(M,R) systems and RAF sets: common ideas, tools and projections
COGNITIVE STRATEGIES FOR MENTAL CALCULATION
Geometric Weil representations for star-analogues of SL(2,k)
On generalized Weil representations over involutive rings
Ouroboros avatars: a mathematical exploration of self-reference and metabolic closure
Some Thoughts on A. H. Louie's "More Than Life Itself: A Reflection on Formal Systems and Biology"
Strategies used by students on a massively multiplayer online mathematics game
Closure to efficient causation, computability and artificial life
The effect of analogies on learning to solve algebraic equations
BRUHAT PRESENTATIONS FOR *-CLASSICAL GROUPS
Beyond reductionism: metabolic circularity as a guiding vision for a real biology of systems
Programming Paradigms and Mind Metaphors: Convergence and Cross-fertilization in the Study of Cognition
Organizational invariance and metabolic closure: Analysis in terms of (M, R) systems
Metabolic closure in (M,R) systems
Understanding the parts in terms of the whole
A Bruhat decomposition of the group Sl(*) (2, A)
Twisted spherical functions on the finite Poincare upper half-plane
Intertwining operators for L2(E)
On mental rotations and cortical activity patterns: A linear representation is still wanted.
Un monde dans un grain de sable: Métaphores et analogies dans l’apprentissage des mathématiques

BookSection (7)

Metaphorising and enacting as means of mathematical transgression,
Acknowledging the Ouroboros: An enactivist and metaphoric approach to problem solving
Enactive metaphorising in the learning of mathematics
Random walks in the didactics of probability: Enactive metaphoric learning sprouts
On the role of corporeality, affect and metaphoring in Problem solving
Metaphors in Mathematics Education
Mathematisches Denken. Grundvorstellungen und Metaphern

BookWhole (1)

Aportes para la articulación entre teoría y práctica en la educación matemática

ConferencePaper (14)

From concrete to abstract and back: Representation and Metaphor. .
Missing the (Bayesian) wood for the trees?
Flexibility in mathematics education: an enactivistic and metaphoric perspective.
Mathematical Cognition in Juvenile Offenders : a Case Study,
Metaphoric Random Walks: A Royal Road to Stochastic Thinking
Metaphors and Didactical Situations
Conceptual metaphors and “Grundvorstellungen”: a case of convergence?
Geometric Weil representations for star-analogues of SL(2, k)
On Generalized Weil Representations over Involutive Rings
Strategies used by students on a massively multiplayer online mathematics game
Cognitive transformation in professional development: some case studies
Metaphors and cognitive styles in the teaching-learning of mathematics
En amont de l’ETM: un regard métaphorique. (pp 257-270), Valparaiso, Décembre 2018
Flexibility in mathematics education: an enactivistic and metaphoric perspective. Vol. 2 (pp. 340-349), Taipei: EARCOME.

Errata (1)

Closure to efficient causation, computability and artificial life (vol 263, pg 79, 2010)

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)

Beyond reductionism: Metabolic circularity as a guiding vision for a real biology of systems
52
JORGE SOTO

Full Professor

MATHEMATICS

UNIVERSIDAD DE CHILE

Santiago, Chile

4
Pablo Dartnell

Researcher

CIAE

Instituto de Estudios Avanzados en Educación

Santiago, Chile

4
Roberto Araya

Profesor Titular

Vicerrectoria investigación

Universidad de Chile

Santiago, Chile

3
Gina Luci

Docente

Educación

Universidad Autónoma de Chile

Santiago, Chile

3
ERIC TANTER

Profesor Titular

Ciencias de la Computación

UNIVERSIDAD DE CHILE - DEPTO DE CIENCIAS DE LA COMPUTACION

Santiago, Chile

2
Abelino Jiménez

Asistente de Investigacion

Centro de Investigacion Avanzada en Educacion

Universidad de Chile

Santiago, Chile

2
Paul Leger

Profesor Asociado

UNIVERSIDAD CATOLICA DEL NORTE -SEDE COQUIMBO

Coquimbo, Chile

2
Diego Cosmelli

Profesor Asociado y Sub-director de Investigación y Postgrado

Escuela de Psicología

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

Santiago, Chile

1
Flavio Guiñez

Scientist

Mathematical Engeeniering

Universidad de Chile

Santiago, Chile