Explicit representations of reasoning to support deliberation within groups
- Authors: Stranieri, Andrew , Yearwood, John , Mays, Heather
- Date: 2008
- Type: Text , Conference proceedings
- Full Text: false
- Description: In practice, the reasoning that underpins problem solving and decision making is rarely performed by an individual in isolation from others but involves a communicative exchanges between participants in a community that can range in size from two to many thousands. Dialogue theories describe patterns in dialogues comprising many dialectical exchanges and often advance deliberation, the kind of dialogue that ensues when participants actively seek to understand all views and collectively arrive at the rationally optimal solution. This study reports on the use of argument maps for structuring reasoning by groups of secondary students. The study aimed to discover whether different maps facilitate deliberation and enhance understanding of the issues by providing an explicit representation of reasoning. An explicit representation of reasoning is a model that encapsulates all relevant claims, evidence, statutes and principles pertinent to an issue. Schemes that have been used to provide explicit representations of reasoning include the Issue Based Information System (IBIS) map, variants of the Toulmin argument structure (TAS) and other knowledge representation schemes used for intelligent computational systems. Results indicate that an explicit representation of reasoning facilitates a depth of understanding of complex issues and there is some indication that the deliberative quality of discussions is enhanced depending on the level of abstraction of the map. Copyright © 2008 COSI.
- Description: 2003006482
An algorithm for monotonic global optimization problems
- Authors: Rubinov, Alex , Tuy, Hoang , Mays, Heather
- Date: 2001
- Type: Text , Journal article
- Relation: Optimization Vol. 49, no. 3 (2001), p. 205-221
- Full Text: false
- Reviewed:
- Description: We propose an algorithm to locate a global maximum of an increasing function subject to an increasing constraint on the cone of vectors with nonnegative coordinates. The algorithm is based on the outer approximation of the feasible set. We establish the convergence of the algorithm and provide a number of numerical experiments. We also discuss the types of constraints and objective functions for which the algorithm is best suited. © 2001 OPA (Overseas Publishers Association) N.V. Published by license under the Gordon and Breach Science Publishers imprint.
Are schools of education failing the tertiary mathematics sector?
- Authors: Mays, Heather , Yearwood, John
- Date: 2003
- Type: Text , Conference paper
- Relation: Paper presented at 2003 International Symposium on Information Technology, Las Vegas, USA : 28th April, 2003
- Full Text:
- Reviewed:
- Description: In the 1990s, two major issues emerged globally for tertiary mathematics educators: declining standards in the mathematical proficiency of students at tertiary-entry level and the advocates for the incorporation of IT into the processes of teaching and learning. Addressing these issues required significant reform of both curriculum content and classroom practice to ensure that the technology was used appropriately and effectively. These reforms were largely implemented by staff from tertiary Schools of Mathematics. Rather than leading the reform, the Education community lagged behind and in some instances has taken research into the use of IT in Mathematics Education in a questionable direction. In this paper, we outline what we contend has been a failure on the behalf of the Education community to tackle and address problems experienced by mathematics educators (particularly at the tertiary level) and make some suggestions for the directions of future research in Mathematics Education.
- Description: E1
- Description: 2003000464
A cognitive diagnostic system for explaining algebra errors
- Authors: Mays, Heather
- Date: 2002
- Type: Text , Thesis , PhD
- Full Text:
- Description: "This thesis presents a new approach to cognitive diagnosis within the domain of algebra that has greater power than existing techniques."
- Description: Doctor of Philosophy
A reasoning framework for decision making in water allocation: a tree for water
- Authors: Graymore, Michelle , Mays, Heather , Stranieri, Andrew , Lehmann, La Vergne , McRae-Williams, Pamela , Thoms, Gavin , Yearwood, John
- Date: 2011
- Type: Text , Conference paper
- Relation: Paper presented at International Conference on Integrated Water Management 2011
- Full Text: false
- Reviewed:
Water allocation argument tree (WAAT): A tool for facilitating public participation in water allocation decisions
- Authors: Graymore, Michelle , Stranieri, Andrew , McRae-Williams, Pamela , Mays, Heather , Lehmann, La Vergne , Thoms, Gavin , Yearwood, John
- Date: 2012
- Type: Text , Book
- Full Text: false
- Reviewed: