Laura Martignon

Laura Martignon
Professor Laura Martignon
Born Bogotà, Colombia
Residence Germany
Nationality Italian and Colombian
Awards Gleichstellungs-Preis 2008, Ludwigsburg University
Scientific career
Institutions Ludwigsburg University of Education

Laura Martignon (born 1952) is a Colombian and Italian professor and scientist. Since 2003 she serves as a Professor of Mathematics and Mathematical Education at the Ludwigsburg University of Education and was until 2017 an Adjunct Scientist of the Max Planck Institute for Human Development in Berlin, where she previously worked as Senior Researcher. She also worked for ten years as a Mathematics Professor at the University of Brasilia and spent a period of one and a half years at the Hebrew University of Jerusalem with a Research Grant of the Israeli Government.

Education

Martignon obtained a Bachelor Degree in Mathematics at Universidad Nacional de Colombia in Bogotà in 1971, a Master's Degree in Mathematics in 1975, and then graduated as a Doctor. rer. nat. in Mathematics at the University of Tübingen in 1978. She obtained her "livre docencia" at the University of Brasilia in 1984 and her German Habilitation in Neuroinformatics at the University of Ulm, Germany, in 1998.

Academic contributions

Example of Fast-and-Frugal Tree
An example of Fast-and-Frugal Tree

Martignon specialized in Mathematics Education and, as an applied mathematician, in Mathematical Modeling collaborating in interdisciplinary scientific contexts. Together with physicist Thomas Seligman she applied functional analysis determining criteria for the applicability of integral transforms in n-body reaction calculations [1] and constructing Hilbert Spaces for the embedding of observables and of density matrices [2]. In Neuroinformatics she modeled snychronization in the spiking events of groups of neurons: With her colleagues from Neuroscience Günther Palm, Sonja Grün, Ad Aertsen, Hermann von Hasseln, Gustavo Deco and the statistician Kathryn Laskey she set the basis for valid measurements of higher oder synchronizations.[3] [4]

Yet her main contributions have been in Probabilistic Reasoning and Decision Making. In 1995 she was one of the founding members of the ABC Center for Adaptive Behavior and Cognition, directed by Gerd Gigerenzer first in Munich (1995–1997) at the Max Planck Institute for Psychlogical Research and then in Berlin at the Max Planck Institute for Human Development ( since 1997). With colleagues from ABC, mainly with Ulrich Hoffrage, she modeled the take-the-best heuristic as a non-compensatory linear model for comparison characterizing its ecological rationality [MH]. She is best known for having conceptualized and defined Fast-And-Frugal trees for classification and decision, mainly with Konstantinos Katsikopoulos and Jan Woike,[MKW] [WHM] proving their fundamental properties, creating a theoretical bridge from natural frequencies [5] to fast and frugal heuristics for classification and decision.

Today her work on reasoning motivates most of her research in Mathematics Education. With Stefan Krauss, Rolf Biehler, Joachim Engel, Christoph Wassner and Sebastian Kuntze she has propagated the tenets of the ABC Group on the advantages of natural information formats and decision heuristics in school and as a topic of Math Education[MK]. She is now collaborating with Keith Stenning, studying probability-free judgement based on defeasible logics and its impact for Mathematics Education [SMV]. She has also done research on Gender in Mathematics Education leading a project on the topic at her University and founding the review journal Mathematik und Gender [6]. For a period of 6 years she was the representative of the Working Group Frauen und Mathematik of the German Society of Mathematics Education (GDM) .

See also

References

  1. Martignon, L.; Seligman, T.H. (1977). "A criterion for the applicability of an integral transform in n-body reaction calculations". Nuclear Physics A. 286: 177–181. doi:10.1016/0375-9474(77)90015-X.
  2. Observables and density matrices embedded in dual Hilbert spaces
  3. Detecting higher order interactions in a group of neurons https://link.springer.com/article/10.1007%2FBF00199057?LI=true
  4. Neural Coding: Higher-Order Temporal Patterns in the Neurostatistics of Cell Assemblies
  5. Gigerenzer & Hoffrage 1995 – How to Improve Bayesian Reasoning Without Instruction: Frequency Formats "
  6. Martignon, L. Mädchen und Mathematik. In: Matzner, A.; Wyrobnik, I. (Hg.): Handbuch Mädchenpädagogik – Handbook of Pedagogy for Girls. Weinheim: Beltz – 2010

Selected publications

Books

Articles

MH.Martignon & Hoffrage 2002 Fast, frugal, and fit: Simple heuristics for paired comparison
MKW.Martignon, Katsikopoulos & Woike 2008 Categorization with Limited Resources: A Family of Simple Heuristics
MK.Martignon & Krauss 2009 Hands-On Activities for Fourth Graders: A Tool Box for Decision-Making and Reckoning with Risk
SMV.Stenning, Martignon & Varga, 2017 Probability-free judgment: Integrating Fast and Frugal Heuristic With a Logic of Interpretation
WHM.Woike, Hoffrage & Martignon, 2017 – Integrating and testing Natural Frequencies, naive Bayes and Fast-and-Frugal Trees.

Patents


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