Laura Martignon

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Laura Martignon
Laura-martignon.jpg
Professor Laura Martignon
Born1952 (1952)
Nationality Italian and Colombian
Alma materUniversity of Tübingen
AwardsGleichstellungs-Preis 2008, Ludwigsburg University
Scientific career
Fields Mathematics, Mathematics Education, Mathematical Modeling, Gender and Mathematics Education, Decision Making
Institutions Ludwigsburg University of Education

Laura Martignon (born 1952) [1] is a Colombian and Italian professor and scientist. From 2003 until 2020 she served as a Professor of Mathematics and Mathematical Education at the Ludwigsburg University of Education. Until 2017 she was 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 Brasília and spent a period of one and a half years, as visiting scholar, at the Hebrew University of Jerusalem.

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Education

Martignon obtained a bachelor's 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 "emquadramento" (tenure) at the University of Brasília in 1984 and her German Habilitation in Neuroinformatics at the University of Ulm, Germany, in 1998.

Academic contributions

An example of Fast-and-Frugal Tree Fast-and-Frugal-Tree.jpg
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 [2] and constructing Hilbert Spaces for the embedding of observables and of density matrices. [3] In Neuroinformatics she modeled synchronization 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 order synchronizations. [4] [5]

Her recent contributions have been in probabilistic reasoning, decision making and their connections with Mathematics Education. 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 Psychological 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 providing a first partial characterization of 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 [6] 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 has collaborated 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. [7] 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

Related Research Articles

<span class="mw-page-title-main">Cognitive bias</span> Systematic pattern of deviation from norm or rationality in judgment

A cognitive bias is a systematic pattern of deviation from norm or rationality in judgment. Individuals create their own "subjective reality" from their perception of the input. An individual's construction of reality, not the objective input, may dictate their behavior in the world. Thus, cognitive biases may sometimes lead to perceptual distortion, inaccurate judgment, illogical interpretation, and irrationality.

A heuristic (; from Ancient Greek εὑρίσκω 'method of discovery', or heuristic technique is any approach to problem solving that employs a pragmatic method that is not fully optimized, perfected, or rationalized, but is nevertheless "good enough" as an approximation or attribute substitution. Where finding an optimal solution is impossible or impractical, heuristic methods can be used to speed up the process of finding a satisfactory solution. Heuristics can be mental shortcuts that ease the cognitive load of making a decision.

Heuristic reasoning is often based on induction, or on analogy[.] [...] Induction is the process of discovering general laws [...] Induction tries to find regularity and coherence [...] Its most conspicuous instruments are generalization, specialization, analogy. [...] Heuristic discusses human behavior in the face of problems [...that have been] preserved in the wisdom of proverbs.

Bounded rationality is the idea that rationality is limited when individuals make decisions, and under these limitations, rational individuals will select a decision that is satisfactory rather than optimal.

<span class="mw-page-title-main">Base rate fallacy</span> Error in thinking which involves under-valuing base rate information

The base rate fallacy, also called base rate neglect or base rate bias, is a type of fallacy in which people tend to ignore the base rate in favor of the individuating information. For example, if someone hears that a friend is very shy and quiet, they might think the friend is more likely to be a librarian than a salesperson, even though there are far more salespeople than librarians overall - hence making it more likely that their friend is actually a salesperson. Base rate neglect is a specific form of the more general extension neglect.

The recognition heuristic, originally termed the recognition principle, has been used as a model in the psychology of judgment and decision making and as a heuristic in artificial intelligence. The goal is to make inferences about a criterion that is not directly accessible to the decision maker, based on recognition retrieved from memory. This is possible if recognition of alternatives has relevance to the criterion. For two alternatives, the heuristic is defined as:

If one of two objects is recognized and the other is not, then infer that the recognized object has the higher value with respect to the criterion.

<span class="mw-page-title-main">Gerd Gigerenzer</span> German cognitive psychologist

Gerd Gigerenzer is a German psychologist who has studied the use of bounded rationality and heuristics in decision making. Gigerenzer is director emeritus of the Center for Adaptive Behavior and Cognition (ABC) at the Max Planck Institute for Human Development and director of the Harding Center for Risk Literacy, both in Berlin.

Daniel G. Goldstein is an American cognitive psychologist known for the specification and testing of heuristics and models of bounded rationality in the field of judgment and decision making. He is an honorary research fellow at London Business School and works with Microsoft Research as a principal researcher.

In psychology, the take-the-best heuristic is a heuristic which decides between two alternatives by choosing based on the first cue that discriminates them, where cues are ordered by cue validity. In the original formulation, the cues were assumed to have binary values or have an unknown value. The logic of the heuristic is that it bases its choice on the best cue (reason) only and ignores the rest.

Heuristics is the process by which humans use mental shortcuts to arrive at decisions. Heuristics are simple strategies that humans, animals, organizations, and even machines use to quickly form judgments, make decisions, and find solutions to complex problems. Often this involves focusing on the most relevant aspects of a problem or situation to formulate a solution. While heuristic processes are used to find the answers and solutions that are most likely to work or be correct, they are not always right or the most accurate. Judgments and decisions based on heuristics are simply good enough to satisfy a pressing need in situations of uncertainty, where information is incomplete. In that sense they can differ from answers given by logic and probability.

<span class="mw-page-title-main">Erika Pannwitz</span> German mathematician and topologist

Erika Pannwitz was a German mathematician who worked in the area of geometric topology. During World War II, Pannwitz worked as a cryptanalyst in the Department of Signal Intelligence Agency of the German Foreign Office colloquially known as Pers Z S. After the war, she became editor-in-chief of Zentralblatt MATH.

Social heuristics are simple decision making strategies that guide people's behavior and decisions in the social environment when time, information, or cognitive resources are scarce. Social environments tend to be characterised by complexity and uncertainty, and in order to simplify the decision-making process, people may use heuristics, which are decision making strategies that involve ignoring some information or relying on simple rules of thumb.

Ecological rationality is a particular account of practical rationality, which in turn specifies the norms of rational action – what one ought to do in order to act rationally. The presently dominant account of practical rationality in the social and behavioral sciences such as economics and psychology, rational choice theory, maintains that practical rationality consists in making decisions in accordance with some fixed rules, irrespective of context. Ecological rationality, in contrast, claims that the rationality of a decision depends on the circumstances in which it takes place, so as to achieve one's goals in this particular context. What is considered rational under the rational choice account thus might not always be considered rational under the ecological rationality account. Overall, rational choice theory puts a premium on internal logical consistency whereas ecological rationality targets external performance in the world. The term ecologically rational is only etymologically similar to the biological science of ecology.

In behavioural sciences, social rationality is a type of decision strategy used in social contexts, in which a set of simple rules is applied in complex and uncertain situations.

Fast-and-frugal treeormatching heuristic(in the study of decision-making) is a simple graphical structure that categorizes objects by asking one question at a time. These decision trees are used in a range of fields: psychology, artificial intelligence, and management science. Unlike other decision or classification trees, such as Leo Breiman's CART, fast-and-frugal trees are intentionally simple, both in their construction as well as their execution, and operate speedily with little information. For this reason, fast-and-frugal-trees are potentially attractive when designing resource-constrained tasks.

<span class="mw-page-title-main">Joachim Engel</span> German scientist and a professor

Joachim Engel is a German scientist and a professor. Since 2006 he has been professor of Mathematics and Mathematical Education at the Ludwigsburg University of Education, after two years as a Professor of Mathematical Education at Leibniz University Hannover (2004–2006). Before becoming a professor he worked as a research fellow at the University of Heidelberg in applied mathematics and the University of Bonn in Economics and was a Visiting Assistant Professor at the University of Michigan in Ann Arbor.

<span class="mw-page-title-main">Annette Werner</span> German mathematician

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<span class="mw-page-title-main">Oliver Vitouch</span>

Oliver Vitouch is an Austrian psychologist and cognitive scientist. He has served as Rector of the University of Klagenfurt since 2012, and as President and Vice-President, respectively, of Universities Austria since 2016.

<span class="mw-page-title-main">Renate Tobies</span> German mathematician and historian of mathematics

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<span class="mw-page-title-main">Ralph Hertwig</span> German psychologist

Ralph Hertwig is a German psychologist whose work focuses on the psychology of human judgment and decision making. Hertwig is Director of the Center for Adaptive Rationality at the Max Planck Institute for Human Development in Berlin, Germany. He grew up with his brothers Steffen Hertwig and Michael Hertwig in Talheim, Heilbronn.

Tilman Sauer is a German theoretical physicist and historian of the natural sciences. He has an international reputation as an expert on the history of the development of general relativity theory.

References

  1. Birth year from ISNI authority control file, retrieved 2018-11-29.
  2. Martignon, L.; Seligman, T.H. (1977). "A criterion for the applicability of an integral transform in n-body reaction calculations". Nuclear Physics A. 286 (1): 177–181. Bibcode:1977NuPhA.286..177M. doi:10.1016/0375-9474(77)90015-X.
  3. Observables and density matrices embedded in dual Hilbert spaces
  4. Martignon, L.; Von Hassein, H.; Grün, S.; Aertsen, A.; Palm, G. (1995-06-01). "Detecting higher-order interactions among the spiking events in a group of neurons". Biological Cybernetics. 73 (1): 69–81. doi:10.1007/BF00199057. ISSN   1432-0770.
  5. Neural Coding: Higher-Order Temporal Patterns in the Neurostatistics of Cell Assemblies Archived 2017-07-28 at the Wayback Machine
  6. Gigerenzer & Hoffrage 1995 – How to Improve Bayesian Reasoning Without Instruction: Frequency Formats " Archived 2017-07-03 at the Wayback Machine
  7. Martignon, L. Mädchen und Mathematik. In: Matzner, A.; Wyrobnik, I. (Hg.): Handbuch Mädchenpädagogik – Handbook of Pedagogy for Girls. Weinheim: Beltz – 2010

Selected publications

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