scholarly journals A Study on the Optimization Problem Solving utilizing the Quadratic Curve using the Dynamic Geometry Software

2014 ◽  
Vol 30 (2) ◽  
pp. 149-172
Author(s):  
Jung Soo Kim ◽  
Bo Hyun Jeon ◽  
Young Woo Chung ◽  
Boo Yoon Kim ◽  
Yan Lee
Keyword(s):  
Problem Solving ◽  
Optimization Problem ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Quadratic Curve ◽  
Optimization Problem Solving

scholarly journals Nature of metacognition in a dynamic geometry environment

2015 ◽  
Vol 3 (5) ◽  
pp. 627-646
Author(s):  
Ana Kuzle
Keyword(s):  
Problem Solving ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Dynamic Geometry Environment ◽  
Mathematics Problem Solving ◽  
Managerial Decisions ◽  
Metacognitive Processes ◽  
Geometry Problem ◽  
Mathematics Problem

This case study examined the metacognitive processes of a preservice teacher when solving a nonroutine geometry problem in a dynamic geometry environment. The main purpose of the study was to uncover and investigate patterns of metacognitive processes and to understand what circumstances, situations, and interactions in a dynamic geometry environment promoted metacognitive behaviors. An adaptation of Schoenfeld’s (1981) model of episodes and executive decisions in mathematics problem solving, and the theory of instrumentation (Rabardel, 2001) was used to identify patterns of metacognitive processes in a dynamic geometry environment. During different phases of problem solving the participant engaged in different metacognitive behaviors whereas the dynamic geometry software supported strategies that are available and/or not available on paper and pen. The effectiveness of solution paths was dependent on the presence of managerial decisions, and well-orchestrated usage of different resources, both knowledge and technology. However, the results of the study call to question to which extent engagement in metacognitive behaviors is necessarily desirable or productive.

DESIGN OF COMPETITION-BASED NEURAL NETWORKS FOR COMBINATORIAL OPTIMIZATION

1990 ◽  
Vol 01 (03) ◽  
pp. 221-235 ◽  
Author(s):  
Luyuan Fang ◽  
Tao Li
Keyword(s):  
Neural Networks ◽  
Combinatorial Optimization ◽  
Problem Solving ◽  
Network Design ◽  
Optimization Problem ◽  
Systematic Approach ◽  
Performance Study ◽  
The Neural Networks ◽  
Optimization Problem Solving ◽  
Simple Heuristics

A systematic approach to the design of neural networks for combinatorial optimization is presented in this paper. This approach adopts a methodology which is based on competition. The neural networks for optimization problem solving are connected using the competitive geometry. Our approach relies on the use of simple heuristics in network design. It is therefore easy to learn. The performance of such networks is also impressive. Two examples are also included in this paper to demonstrate our approach and to present results of performance study.

scholarly journals On the Learning of geometric concepts using Dynamic Geometry Software

RENOTE ◽  
2004 ◽  
Vol 2 (1) ◽  
Author(s):  
Alex Sandro Gomes ◽  
Gerard Vergnaud
Keyword(s):  
Problem Solving ◽  
Dynamic Geometry ◽  
Theoretical Framework ◽  
Dynamic Geometry Software ◽  
Mediated Learning ◽  
Computer Mediated ◽  
Geometric Concepts ◽  
Geometrical Concepts ◽  
Geometry Learning

Many results on computer mediated geometry learning conclude about different heuristic approaches to problem solving with Dynamic Geometry Software (DGS). However, little is described concerning conceptualization process. We used a theoretical framework built upon constructivist foundations for analyzing mediated learning of specific geometrical concepts. Our point is illustrated in a case study in which we analyzed studentsí interaction with a DGS. Our results points to a clear mapping of potential conceptualization of geometry in software using.

Optimization problem solving with auctions in Cultural Algorithms

2013 ◽  
Vol 5 (2) ◽  
pp. 83-94 ◽  
Author(s):  
Robert G. Reynolds ◽  
Leonard Kinnaird-Heether
Keyword(s):  
Problem Solving ◽  
Optimization Problem ◽  
Cultural Algorithms ◽  
Optimization Problem Solving

scholarly journals Individual Differences in Optimization Problem Solving: Reconciling Conflicting Results

2008 ◽  
Vol 2 (1) ◽  
Author(s):  
Edward P. Chronicle ◽  
James N. MacGregor ◽  
Michael Lee ◽  
Thomas C. Ormerod ◽  
Peter Hughes
Keyword(s):  
Individual Differences ◽  
Problem Solving ◽  
Optimization Problem ◽  
Optimization Problem Solving
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