scholarly journals Anthropological Theory of Didactics and the Probability of the Constructivist Approach Being a Solution to the Common Mistakes Made in Mathematics Lessons

Author(s):  
Murat Tezer
Author(s):  
Liliana Patricia Ospina Marulanda ◽  
César Augusto Delgado García

AbstractWe present progress made in doctoral thesis «Configuration of the assessment practices of mathematics teachers at university». Preliminary analysis shows the predominance of «summative assessment» of learning, content-centered, aside from the teaching and study activities, producing poor operative learning outcomes. This didactic phenomenon entails the problem of establishing the conditions and constraints that hinder the development of a more functional kind of assessment that mediates these activities and obtain more operational learning. Finally, we construct the concept of assessment of mediated interactivity as a contribution to the design and management of didactic and mathematical praxeology.ResumenPresentamos los avances de la tesis doctoral: «Configuración de las prácticas evaluativas de los profesores de matemáticas en la universidad». Los análisis preliminares ponen de manifiesto el predominio de la «evaluación sumativa», centrada en contenidos, al margen de las actividades de enseñar y estudiar, produciendo aprendizajes poco operativos. Este fenómeno didáctico conduce a plantear el problema de establecer las condiciones y restricciones que dificultan o impiden el desarrollo de una evaluación más funcional, que medie en dichas actividades y logre aprendizajes más operativos. Finalmente, construimos el concepto de evaluación de la interactividad mediada como aporte al diseño de praxeologías didácticas y matemáticas.


Author(s):  
Edelweis Jose Tavares Barbosa ◽  
Anna Paula de Avelar Brito Lima

RésuméLe but de cet article est d'analyser, de manière comparative, les livres didactiques et les praxéologies mises en place par les enseignants dans leur pratique pédagogique, concernant l'enseignement des équations polynomiales du premier degré. Cette étude est faite dans le cadre de la théorie anthropologique du didactique (TAD) proposée par Yves Chevallard et ses collaborateurs (1999, 2002, 2009, 2010). La méthodologie est basée sur une approche ethnographique qualitative, dans laquelle les organisations mathématiques et didactiques de trois enseignants sont analysées en les comparant à celles des livres de référence. Les résultats indiquent qu'il existe une certaine conformité entre les praxéologies à enseigner, proposées par les auteurs des manuels scolaires et les praxéologies effectivement enseignées par les professeurs en classe. Les enseignants sont les organisateurs des tâches, des techniques et de la technologie de complexité croissante (FONSECA, 2004) qui sont rendus routinières ou problématiques en classe. La résolution d’une équation polynomiale du premier degré du type ax+b=c a été le point commun des trois professeurs, bien que deux des trois enseignants aient aussi travaillé des équations du type a1x+b1=a2x+b2.Mots-clés : Livres didactiques, Équations polynomiales du premier degré, Théorie Anthropologique du didactique.AbstractThe aim of this article was to analyze, comparatively, praxeologies in didactic books and praxeologies carried out by the teacher, concerning the teaching of polynomial equations of the first degree. This study is done within the framework of the Anthropological Theory of Didactics (ATD), proposed by Yves Chevallard and his collaborators (1999, 2002, 2009, 2010). The methodology consists of a qualitative ethnographic approach, in which the mathematical and didactic organizations of three teachers were compared with those of their reference books. The results indicate that there is some conformity between the praxeologies to be taught, proposed by the authors of the textbooks, and the praxeologies effectively taught by the teachers in the classroom. Teachers are the organizers of tasks, techniques, and technology of increasing complexity (FONSECA, 2004) that are made routine or problematic in the classroom. The resolution of a first-degree polynomial equation of the type ax+b=c was the common point among the three teachers, although two of the three teachers also worked on equations of the type a1x+b1=a2x+b2.Keywords: Didactic books, Polynomial equations of the first degree, Anthropological theory of didactics.


2012 ◽  
Vol 21 (3) ◽  
pp. 75-84
Author(s):  
Venkata Vijaya K. Dalai ◽  
Jason E. Childress ◽  
Paul E Schulz

Dementia is a major public health concern that afflicts an estimated 24.3 million people worldwide. Great strides are being made in order to better diagnose, prevent, and treat these disorders. Dementia is associated with multiple complications, some of which can be life-threatening, such as dysphagia. There is great variability between dementias in terms of when dysphagia and other swallowing disorders occur. In order to prepare the reader for the other articles in this publication discussing swallowing issues in depth, the authors of this article will provide a brief overview of the prevalence, risk factors, pathogenesis, clinical presentation, diagnosis, current treatment options, and implications for eating for the common forms of neurodegenerative dementias.


2011 ◽  
Vol 38 (2) ◽  
pp. 220-228 ◽  
Author(s):  
Spencer G. Sealy ◽  
Mélanie F. Guigueno

For centuries, naturalists were aware that soon after hatching the common cuckoo (Cuculus canorus) chick became the sole occupant of the fosterer's nest. Most naturalists thought the adult cuckoo returned to the nest and removed or ate the fosterer's eggs and young, or the cuckoo chick crowded its nest mates out of the nest. Edward Jenner published the first description of cuckoo chicks evicting eggs and young over the side of the nest. Jenner's observations, made in England in 1786 and 1787, were published by the Royal Society of London in 1788. Four years before Jenner's observations, in 1782, Antoine Joseph Lottinger recorded eviction behaviour in France and published his observations in Histoire du coucou d'Europe, in 1795. The importance of Lottinger's and Jenner's observations is considered together.


1957 ◽  
Vol 3 (1) ◽  
pp. 1-16 ◽  
Author(s):  
David R. Miller ◽  
Edward W. Comings

Measurements of mean velocity, turbulent stress and static pressure were made in the mixing region of a jet of air issuing from a slot nozzle into still air. The velocity was low and the two-dimensional flow was effectively incompressible. The results are examined in terms of the unsimplified equations of fluid motion, and comparisons are drawn with the common assumptions and simplifications of free jet theory. Appreciable deviations from isobaric conditions exist and the deviations are closely related to the local turbulent stresses. Negative static pressures were encountered everywhere in the mixing field except in the potential wedge region immediately adjacent to the nozzle. Lateral profiles of mean longitudinal velocity conformed closely to an error curve at all stations further than 7 slot widths from the nozzle mouth. An asymptotic approach to complete self-preservation of the flow was observed.


1832 ◽  
Vol 122 ◽  
pp. 539-574 ◽  

I have for some time entertained an opinion, in common with some others who have turned their attention tot he subject, that a good series of observations with a Water-Barometer, accurately constructed, might throw some light upon several important points of physical science: amongst others, upon the tides of the atmosphere; the horary oscillations of the counterpoising column; the ascending and descending rate of its greater oscillations; and the tension of vapour at different atmospheric temperatures. I have sought in vain in various scientific works, and in the Transactions of Philosophical Societies, for the record of any such observations, or for a description of an instrument calculated to afford the required information with anything approaching to precision. In the first volume of the History of the French Academy of Sciences, a cursory reference is made, in the following words, to some experiments of M. Mariotte upon the subject, of which no particulars appear to have been preserved. “Le même M. Mariotte fit aussi à l’observatoire des experiences sur le baromètre ordinaire à mercure comparé au baromètre à eau. Dans l’un le mercure s’eléva à 28 polices, et dans Fautre l’eau fut a 31 pieds Cequi donne le rapport du mercure à l’eau de 13½ à 1.” Histoire de I'Acadérmie, tom. i. p. 234. It also appears that Otto Guricke constructed a philosophical toy for the amusement of himself and friends, upon the principle of the water-barometer; but the column of water probably in this, as in all the other instances which I have met with, was raised by the imperfect rarefaction of the air in the tube above it, or by filling with water a metallic tube, of sufficient length, cemented to a glass one at its upper extremity, and fitted with a stop-cock at each end; so that when full the upper one might be closed and the lower opened, when the water would fall till it afforded an equipoise to the pressure of the atmo­sphere. The imperfections of such an instrument, it is quite clear, would render it totally unfit for the delicate investigations required in the present state of science; as, to render the observations of any value, it is absolutely necessary that the water should be thoroughly purged of air, by boiling, and its insinuation or reabsorption effectually guarded against. I was convinced that the only chance of securing these two necessary ends, was to form the whole length of tube of one piece of glass, and to boil the water in it, as is done with mercury in the common barometer. The practical difficulties which opposed themselves to such a construction long appeared to me insurmount­able; but I at length contrived a plan for the purpose, which, having been honoured with the approval of the late Meteorological Committee of this Society, was ordered to be carried into execution by the President and Council.


Diacronia ◽  
2019 ◽  
Author(s):  
Francisc Gafton ◽  
Adina Chirilă

When it comes to evolutionism, the common belief holds that Neo-Darwinism is still the best evolutionist explanation, because it contains the Darwinist explanation, improved through adjustments and additions provided by the current scientific research, which wouldn’t be but thorough, objective, and completely non-ideological. In fact, throughout its existence, Neo-Darwinism has failed in maintaining a clear line of thinking, oriented by pure facts. At some point, it became obvious that, by following its original paradigm, the problem of evolution could not be resolved; thus, during the second half of the 20th century, a few attempts were made in order to improve Neo-Darwinism, without the expected results. The failure can be explained through one of the current’s drawbacks: the inflexible and arrogant rejection of the Lamarckian position on the matter of evolution. Recent research, as well as logical deductions issued from the observation of what Nature produces urge the revision of paradigms and the repeal of any dogma. The gain would be that of the science and of the human knowledge.


Author(s):  
Alexander Murray

People with a logical turn of mind say that the history of the world can be summarised in a sentence. A précis of mediaval historian Richard William Southern's work made in that spirit would identify two characteristics, one housed inside the other, and both quite apart from the question of its quality as a work of art. The first is his sympathy for a particular kind of medieval churchman, a kind who combined deep thought about faith with practical action. This characteristic fits inside another, touching Southern's historical vision as a whole. Its genesis is traceable to those few seconds in his teens when he ‘quarrelled’ with his father about the Renaissance. The intuition that moved him to do so became a historical fides quaerens intellectum. Reflection on Southern's life work leaves us with an example of the service an historian can perform for his contemporary world, as a truer self-perception seeps into the common consciousness by way of a lifetime of teaching and writing, spreading out through the world (all Southern's books were translated into one or more foreign language).


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