Proofs produced by secondary school students learning geometry in a dynamic computer environment     

Ramón Marrades  Ángel Gutiérrez 《Educational Studies in Mathematics》2000,44(1-2):87-125

As a key objective, secondary school mathematics teachers seek to improve the proof skills of students. In this paper we present an analytic framework to describe and analyze students' answers to proof problems. We employ this framework to investigate ways in which dynamic geometry software can be used to improve students' understanding of the nature of mathematical proof and to improve their proof skills. We present the results of two case studies where secondary school students worked with Cabri-Géeomèetre to solve geometry problems structured in a teaching unit. The teaching unit had theaims of: i) Teaching geometric concepts and properties, and ii) helping students to improve their conception of the nature of mathematical proof and to improve their proof skills. By applying the framework defined here, we analyze students' answers to proof problems, observe the types of justifications produced, and verify the usefulness of learning in dynamicgeometry computer environments to improve students' proof skills.  相似文献   

From agents of reform to subjects of change: The teaching crossroads in Latin America     

Rosa María Torres 《Prospects》2000,30(2):255-273

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Education, culture and indigenous rights: The case of educational feform in Bolivia     

Sonia Comboni Salinas  José Manuel Juárez Núñez 《Prospects》2000,30(1):105-124

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Morphological analysis,phonological analysis and learning to read French: a longitudinal study     

Casalis  Séverine  Louis-Alexandre  Marie-France 《Reading and writing》2000,12(3):303-335

This paper presents a longitudinal study, from kindergarten to secondgrade, which aims to examine the relationship between morphologicalanalysis, phonological analysis and learning to read. Three phonologicalawareness tasks, five derivational and four inflectional subtests wereadministered to fifty children at each of the three levels. Evolution ofperformance was analyzed through the three years. Data showed that withthe exception of two subtests, performance increased from kindergarten tofirst grade and from first grade to second grade, without reaching ceilingperformance in second grade, at least for morphological subtests. Linksbetween morphological and phonological analyses were very strong: inparticular, syllable segmentation was highly correlated with themorphological subtests in kindergarten while phonemic segmentation wascorrelated with morphological subtests in first and second grade. Therewere also strong links between morphological analysis and reading.Regression analyses showed that while phonological awarenessexplained a major part of variance in first grade, both phonologicaland morphological scores explained significant part of variance of bothdecoding and comprehension reading scores in second grade. Thus, thislongitudinal study contributes to the evidence of a link between bothphonological and morphological analysis and learning to read French.  相似文献   

On metrics matched to the discrete memoryless channel     

Gérald Séguin 《Journal of The Franklin Institute》1980,309(3):179-189

A sequence of metrics {D_N} is said to be additive and matched to a discrete memoryless channel (DMC) if D_N is the sum on its coordinates of N single letter metrics and if the maximum likelihood decoder for sequences of length N is a minimum D_N-distance decoder. Necessary and sufficient conditions on the transition probabilities of a DMC for the existence of a sequence of additive metrics matched to it are given. In the case of the binary channel these are shown to be equivalent to the channel being symmetric. Explicit transition probabilities are given for a large class of ternary DMCs with an associated sequence of additive matched metrics. The problem solved here may be considered a generalization of the problem of finding the DMCs matched to the Lee metric solved by Chiang and Wolf in 1971 (2).  相似文献   

Training administrators and educational administration requirements     

Alberto Gutiérrez Reñón 《Prospects》1977,7(1):73-81

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A conceptual framework for the reform of educational administration     

Graciela Ruíz Durán 《Prospects》1977,7(1):65-72

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Self-management in Yugoslav universities     

Branko Pribiévić Ph.D.  Jovan Ghgorijević Ph.D. 《Prospects》1973,3(4):515-521

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The comprehensive versus selective school issue: Introductory remarks     

Torsten Husén 《International Review of Education/Internationale Zeitschrift für Erziehungswissenschaft/Revue internationale l'éducation》1971,17(1):3-10

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An example of the passage from the concrete to the manipulation of formal systems     

Zoltan P. Diénès 《Educational Studies in Mathematics》1971,3(3-4):337-352

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