Case-based reasoning and law

Rissland, Edwina L.; Ashley, Kevin D.; Branting, L. Karl

doi:10.1017/s0269888906000701

Cited by 52 publications

(28 citation statements)

References 22 publications

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“…The development of a counterexample is another key mathematical move (Rissland, 1989), and one that functions pedagogically as Socratic dialogue. Through answering this question, the student is confronted with a logical fallacy in his/her reasoning.…”

Section: Carla Van De Sande and Gaea Leinhardtmentioning

confidence: 99%

Online Tutoring in the Calculus

Sande¹,

Leinhard²

2007

educationdidactique

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Section: Carla Van De Sande and Gaea Leinhardtmentioning

confidence: 99%

Online Tutoring in the Calculus

Sande¹,

Leinhard²

2007

educationdidactique

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“…Examples are used to verify statements and to illustrate algorithms or procedures. Examples are said to be important component of expert knowledge [17].…”

Section: Role Of Examplesmentioning

confidence: 99%

Representing numbers: prime and irrational

Zazkis

2005

International Journal of Mathematical Education in Science and

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This article draws an analogy between prime and irrational numbers with respect to how these numbers are defined and how they are perceived by learners. Excerpts are presented from two research studies: a study on understanding prime numbers by pre-service elementary school teachers and a study on understanding irrational numbers by pre-service secondary school teachers. Considering the results of these studies, the author calls for further attention in teaching to transparent features in representation of numbers and suggests several strategies on how this may be achieved. What do irrational numbers and prime numbers have in common?The readers are invited to examine for a minute their answer or reaction to this question, before continuing reading.When we asked students this question, the most common response was either a puzzled look, like saying without saying 'What kind of stupid question is that?' or simply 'nothing', accompanied by a shrug. The 'nothing' referred to the empty intersection of the two sets. When we asked colleagues, the most common response was a puzzled look, followed by something like 'Oh! Never thought of this!'In this paper we draw an unusual analogy between prime numbers and irrational numbers. This analogy refers to the lack of 'transparent' representation (the term is explained below) for these numbers. We discuss how this may influence students' perceptions of numbers and present an obstacle for understanding. Definitions and imagesRoughly speaking, irrational numbers are those that cannot be represented as a quotient and prime numbers are those that cannot be represented as a product. Inserting mathematical rigour into this rough observation we obviously acknowledge that the above-mentioned quotient refers to a/b, where a is an integer and b is a non-zero integer, whereas the above-mentioned product is a product

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“…Case-based reasoning systems have been recently applied to many different areas, such as help-desk environments [22], prediction markets [30], forecasting systems [10] or intrusion detection [33]. Also, the work done in the eighties and nineties about legal CBR fostered the argumentation research in the AI community [40]. From then on, the good results of CBR systems in argumentation domains suggest that this type of reasoning is suitable to manage argumentation processes [20].…”

Section: Introductionmentioning

confidence: 99%

Case-based strategies for argumentation dialogues in agent societies

Heras

Jordán

Botti

2013

Information Sciences

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Case-based Strategies for Argumentation Dialogues in Agent SocietiesStella Heras, Jaume Jordán, Vicente Botti, Vicente Julián AbstractIn multi-agent systems, agents perform complex tasks that require different levels of intelligence and give rise to interactions among them. From these interactions, conflicts of opinion can arise, especially when these systems become open, with heterogeneous agents dynamically entering or leaving the system. Therefore, agents willing to participate in this type of system will be required to include extra capabilities to explicitly represent and generate agreements on top of the simpler ability to interact. Furthermore, agents in multi-agent systems can form societies, which impose social dependencies on them. These dependencies have a decisive influence in the way agents interact and reach agreements. Argumentation provides a natural means of dealing with conflicts of interest and opinion. Agents can reach agreements by engaging in argumentation dialogues with their opponents in a discussion. In addition, agents can take advantage of previous argumentation experiences to follow dialogue strategies and persuade other agents to accept their opinions. Our insight is that Case-Based Reasoning can be very useful to manage argumentation in open multi-agent systems and devise dialogue strategies based on previous argumentation experiences. To demonstrate the foundations of this suggestion, this paper presents the work that we have done to develop case-based dialogue strategies in agent societies. Thus, we propose a case-based argumentation framework for agent societies and define heuristic dialogue strategies based on it. The framework has been implemented and evaluated in a real customer support application.

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Case-based reasoning and law

Cited by 52 publications

References 22 publications

Online Tutoring in the Calculus

Online Tutoring in the Calculus

Representing numbers: prime and irrational

Case-based strategies for argumentation dialogues in agent societies

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