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You searched for subject:(combinatorial reasoning). Showing records 1 – 3 of 3 total matches.

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1. Panapoi, Ronnachai. Children's construction of the multiplicative principle in combinatorial reasoning.

Degree: PhD, Mathematics Education, 2013, University of Georgia

The multiplicative principle, one of the fundamental principles of counting, is crucial in the learning of combinatorics. The purpose of this study was to investigate operations, schemes, and conceptual constructs that contributed to the construction of the multiplicative principle. By means of clinical interviews, two pairs of seventh-grade students were selected based on three principal factors: units-coordinating activities, levels of the units-coordination, and combinatorial reasoning. The three factors were determined as being quite similar within each pair and distinct between the pairs. After the clinical interviews, each of the pairs participated in the constructivist teaching experiment for approximately five months during two school semesters where the researcher served as the students’ teacher. The findings revealed that only the pair of students who were capable of taking three levels of units as given prior to operating constructed the multiplicative principle. In addition to their levels of units-coordination as being necessary toward the construction of the multiplicative principle, the students needed to establish at least five basic operations and five schemes. The operations include counting, making selections, pairing, distinguishing, and monitoring. And, the schemes consist of an enactive pairing scheme; an iterating pairing scheme; a multiplicative pairing scheme; an iterating tripling scheme: independent sequenced composite units; and an iterating tripling scheme: dependent sequenced composite units. Besides these operations and schemes, the students needed to produce two kinds of reasoning called recursive reasoning as well as progressive recursive reasoning in their construction of the multiplicative principle. Advisors/Committee Members: Leslie P. Steffe.

Subjects/Keywords: Combinatorial Reasoning

…Research on Students’ Construction of Combinatorial Knowledge and Reasoning… …7 My Exploratory Study of Children’s Combinatorial Knowledge and Reasoning… …36 Students’ Three-Levels-of-Units Assimilatory Structures and Combinatorial Reasoning… …36 Students’ Two-Levels-of-Units Assimilatory Structures and Combinatorial Reasoning… …55 5 REBECCA AND KEN’S COMBINATORIAL KNOWLEDGE AND REASONING… 

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APA (6th Edition):

Panapoi, R. (2013). Children's construction of the multiplicative principle in combinatorial reasoning. (Doctoral Dissertation). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/panapoi_ronnachai_201305_phd

Chicago Manual of Style (16th Edition):

Panapoi, Ronnachai. “Children's construction of the multiplicative principle in combinatorial reasoning.” 2013. Doctoral Dissertation, University of Georgia. Accessed August 17, 2019. http://purl.galileo.usg.edu/uga_etd/panapoi_ronnachai_201305_phd.

MLA Handbook (7th Edition):

Panapoi, Ronnachai. “Children's construction of the multiplicative principle in combinatorial reasoning.” 2013. Web. 17 Aug 2019.

Vancouver:

Panapoi R. Children's construction of the multiplicative principle in combinatorial reasoning. [Internet] [Doctoral dissertation]. University of Georgia; 2013. [cited 2019 Aug 17]. Available from: http://purl.galileo.usg.edu/uga_etd/panapoi_ronnachai_201305_phd.

Council of Science Editors:

Panapoi R. Children's construction of the multiplicative principle in combinatorial reasoning. [Doctoral Dissertation]. University of Georgia; 2013. Available from: http://purl.galileo.usg.edu/uga_etd/panapoi_ronnachai_201305_phd

2. Ersari, Ebru. A synthesis of the combinatorial reasoning and proportional reasoning studies in terms of Piaget’s description of development stages.

Degree: MA, Mathematics Education, 2015, University of Georgia

The purpose of this research was to synthesize the combinatorial reasoning and proportional reasoning studies. Throughout the age range that Piaget found that formal reason emerges, have other researchers found that combinatorial reasoning and proportional reasoning synchronously emerge within these same age ranges? Advisors/Committee Members: Leslie P. Steffe.

Subjects/Keywords: combinatorial reasoning

…be indicated. In addition to combinatorial reasoning, proportional reasoning is a pivotal… …combinatorial reasoning (English, 1991) and proportional reasoning (Lamon, 2007)… …combinatorial reasoning is regarded as very valuable to the mathematics education of students, there… …investigate studies concerning combinatorial reasoning is that it 3 is, more or less, an untapped… …In fact, no reasons are given in the scholarly research as to why combinatorial reasoning… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Ersari, E. (2015). A synthesis of the combinatorial reasoning and proportional reasoning studies in terms of Piaget’s description of development stages. (Masters Thesis). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/ersari_ebru_201508_ma

Chicago Manual of Style (16th Edition):

Ersari, Ebru. “A synthesis of the combinatorial reasoning and proportional reasoning studies in terms of Piaget’s description of development stages.” 2015. Masters Thesis, University of Georgia. Accessed August 17, 2019. http://purl.galileo.usg.edu/uga_etd/ersari_ebru_201508_ma.

MLA Handbook (7th Edition):

Ersari, Ebru. “A synthesis of the combinatorial reasoning and proportional reasoning studies in terms of Piaget’s description of development stages.” 2015. Web. 17 Aug 2019.

Vancouver:

Ersari E. A synthesis of the combinatorial reasoning and proportional reasoning studies in terms of Piaget’s description of development stages. [Internet] [Masters thesis]. University of Georgia; 2015. [cited 2019 Aug 17]. Available from: http://purl.galileo.usg.edu/uga_etd/ersari_ebru_201508_ma.

Council of Science Editors:

Ersari E. A synthesis of the combinatorial reasoning and proportional reasoning studies in terms of Piaget’s description of development stages. [Masters Thesis]. University of Georgia; 2015. Available from: http://purl.galileo.usg.edu/uga_etd/ersari_ebru_201508_ma

3. Guibadj, Rym Nesrine. Problèmes de tournées de véhicules et application industrielle pour la réduction de l'empreinte écologique : Vehicule routing problems and industrial application to reduce the ecological footprint.

Degree: Docteur es, Technologies de l'Information et des Systèmes, 2013, Compiègne

Dans cette thèse, nous nous sommes intéressés à la résolution approchée de problèmes de tournées de véhicules. Nous avons exploité des travaux menés sur les graphes d'intervalles et des propriétés de dominance relatives aux tournées saturées pour traiter les problèmes de tournées sélectives plus efficacement. Des approches basées sur un algorithme d'optimisation par essaim particulaire et un algorithme mémétique ont été proposées. Les métaheuristiques développées font appel à un ensemble de techniques particulièrement efficaces telles que le découpage optimal, les opérateurs de croisement génétiques ainsi que des méthodes de recherches locales. Nous nous sommes intéressés également aux problèmes de tournées classiques avec fenêtres de temps. Différents prétraitements ont été introduits pour obtenir des bornes inférieures sur le nombre de véhicules. Ces prétraitements s'inspirent de méthodes issues de modèles de graphes, de problème d'ordonnancement et de problèmes de bin packing avec conflits. Nous avons montré également l'utilité des méthodes développées dans un contexte industriel à travers la réalisation d'un portail de services mobilité.

In this thesis, we focused on the development of heuristic approaches for solvingvehicle routing problems. We exploited researches conducted on interval graphsand dominance properties of saturated tours to deal more efficiently with selectivevehicle routing problems. An adaptation of a particle swarm optimization algorithmand a memetic algorithm is proposed. The metaheuristics that we developed arebased on effective techniques such as optimal split, genetic crossover operatorsand local searches. We are also interested in classical vehicle problems with timewindows. Various pre-processing methods are introduced to obtain lower boundson the number of vehicles. These methods are based on many approaches usinggraph models, scheduling problems and bin packing problems with conflicts. Wealso showed the effectiveness of the developed methods with an industrial applicationby implementing a portal of mobility services.

Advisors/Committee Members: Moukrim, Aziz (thesis director).

Subjects/Keywords: Problèmes de tournées de véhicules; Découpage optimal; Raisonnement énergétique; Applications industrielles; Combinatorial optimization; Vehicle routing problems; Optimal split; Evolutionary algorithms; Energetic reasoning; Industrial application

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Guibadj, R. N. (2013). Problèmes de tournées de véhicules et application industrielle pour la réduction de l'empreinte écologique : Vehicule routing problems and industrial application to reduce the ecological footprint. (Doctoral Dissertation). Compiègne. Retrieved from http://www.theses.fr/2013COMP2074

Chicago Manual of Style (16th Edition):

Guibadj, Rym Nesrine. “Problèmes de tournées de véhicules et application industrielle pour la réduction de l'empreinte écologique : Vehicule routing problems and industrial application to reduce the ecological footprint.” 2013. Doctoral Dissertation, Compiègne. Accessed August 17, 2019. http://www.theses.fr/2013COMP2074.

MLA Handbook (7th Edition):

Guibadj, Rym Nesrine. “Problèmes de tournées de véhicules et application industrielle pour la réduction de l'empreinte écologique : Vehicule routing problems and industrial application to reduce the ecological footprint.” 2013. Web. 17 Aug 2019.

Vancouver:

Guibadj RN. Problèmes de tournées de véhicules et application industrielle pour la réduction de l'empreinte écologique : Vehicule routing problems and industrial application to reduce the ecological footprint. [Internet] [Doctoral dissertation]. Compiègne; 2013. [cited 2019 Aug 17]. Available from: http://www.theses.fr/2013COMP2074.

Council of Science Editors:

Guibadj RN. Problèmes de tournées de véhicules et application industrielle pour la réduction de l'empreinte écologique : Vehicule routing problems and industrial application to reduce the ecological footprint. [Doctoral Dissertation]. Compiègne; 2013. Available from: http://www.theses.fr/2013COMP2074

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