Gerbert of Aurillac (938–1003)

Author(s):  
Fiona Somerset

Gerbert is chiefly remembered as an educational reformer. He established a syllabus for the university course in logic, the logica vetus, that remained in use until the mid-twelfth century. Most of his academic writings are instructional works on mathematics. In his single philosophical work, De rationali et ratione uti (On That Which is Rational and Using Reason), he uses Boethius’ logical commentaries to develop a distinctly Platonic solution to a problem he derives from Porphyry’s Isagōgē.

2012 ◽  
Author(s):  
Earth B. Ugat ◽  
Jennifer Joyce M. Montemayor ◽  
Mark Anthony N. Manlimos ◽  
Dante D. Dinawanao

2019 ◽  
Author(s):  
A.N. Novikov ◽  
M.S. Novikova

География это мировоззренческая наука. Сложившаяся за десятилетия структура курса обучения географии в российской средней школе знакома каждому из нас и состоит из четырёх этапов. В университете система обучения будущих учителей географии состоит из тех же самых этапов, однако, это не просто углублённое повторение школьной программы, это совершенно новый, более высокий уровень географического образования. Как на школьном, так и на университетском уровнях изменения происходят в масштабе тем и разделов отдельных этапов, но этапы остаются неизменными. Межэтапный уровень является предельным, его осознание не попадает в область рефлексии педагогов и методистов. Отсутствуют и научные труды по его анализу. В качестве метода исследования выступает диалектика, законы которой срабатывают в виде мировоззренческих формул. В школьном географическом образовании проблема формирования восприятия не проявляется чётко и поэтому не осознаётся. Проблемы начинают проявляться на межэтапном уровне. Мировоззренческая формула дихотомии перестала работать в виде противопоставления отраслевая география районная география, взаимодействие в этой бинарной оппозиции строилось по принципу отраслевой анализ региональный синтез. В разделах районной географии исчезли механизмы (энергопроизводственные циклы) и формы синтеза (природнотерриториальные и территориальнопроизводственные комплексы). Произошла утрата целесообразности изучения районной географии. Новых форм синтеза в постсоветское время на вооружение российской школьной и университетской географией принято не было. В университетском курсе, который был направлен на осознание диалектических знаний школьного курса и развитие их, невозможно провести рефлексию, так как основы географических знаний у абитуриентов бесформенные. Владение мировоззренческими формулами это вопрос отражения географической реальности. В переходе с уровня на уровень возрастает самостоятельность географического мышления и удаление от стереотипов, возрастает эвристический потенциал за счёт сочетания формул, которое даёт вариативность отражения географической реальности. Geography is a worldview science. The structure of the geography course in the Russian secondary school, which has developed over the decades, is familiar to each of us and consists of four stages. At the University, the system of teaching future teachers of geography consists of the same stages, however, it is not just an indepth repetition of the school curriculum, it is a completely new, higher level of geographical education. At both the school and University levels, changes occur in the scale of topics and sections of individual stages, but the stages remain the same. The interstage level is the limit, its awareness does not fall into the field of reflection of teachers and methodologists. There are no scientific papers on its analysis. The method of research is dialectics, the laws of which work in the form of worldview formulas. In school geographic education, the problem of perception formation is not clearly manifested and therefore is not realized. Problems begin to emerge at the interstage level. The worldview formula of dichotomy ceased to work in the form of the opposition sectoral geography regional geography, the interaction in this binary opposition was based on the principle of sectoral analysis regional synthesis. Mechanisms (energy production cycles) and forms of synthesis (naturalterritorial and territorialproduction complexes) have disappeared in the sections of the district geography. There was a loss of expediency of studying of regional geography. New forms of synthesis in the postSoviet period were not adopted by the Russian school and University geography. In the University course, which was aimed at understanding the dialectical knowledge of the school course and their development, it is impossible to reflect, as the basis of geographical knowledge of students formless. The possession of ideological formulas is the question of geographic reality. In the transition from level to level increases the independence of geographical thinking and the distance from stereotypes, heuristic potential increases due to the combination of formulas, which gives variability of reflection of geographical reality.


Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 1034
Author(s):  
María Carmen Carnero

Due to the important advantages it offers, gamification is one of the fastest-growing industries in the world, and interest from the market and from users continues to grow. This has led to the development of more and more applications aimed at different fields, and in particular the education sector. Choosing the most suitable application is increasingly difficult, and so to solve this problem, our study designed a model which is an innovative combination of fuzzy Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) with the Measuring Attractiveness by a Categorical Based Evaluation Technique (MACBETH) and Shannon entropy theory, to choose the most suitable gamification application for the Industrial Manufacturing and Organisation Systems course in the degree programmes for Electrical Engineering and Industrial and Automatic Electronics at the Higher Technical School of Industrial Engineering of Ciudad Real, part of the University of Castilla-La Mancha. There is no precedent in the literature that combines MACBETH and fuzzy Shannon entropy to simultaneously consider the subjective and objective weights of criteria to achieve a more accurate model. The objective weights computed from fuzzy Shannon entropy were compared with those calculated from De Luca and Termini entropy and exponential entropy. The validity of the proposed method is tested through the Preference Ranking Organisation METHod for Enrichment of Evaluations (PROMETHEE) II, ELimination and Choice Expressing REality (ELECTRE) III, and fuzzy VIKOR method (VIsekriterijumska optimizacija i KOmpromisno Resenje). The results show that Quizizz is the best option for this course, and it was used in two academic years. There are no precedents in the literature using fuzzy multicriteria decision analysis techniques to select the most suitable gamification application for a degree-level university course.


1993 ◽  
Vol 7 (3) ◽  
pp. 141-147
Author(s):  
Jeffrey C. Hillman

The need for South African industry to attract black engineers has necessitated its involvement in their university preparation. This article describes a pre-university course for black engineering students at the University of the Witwatersrand. A summary of its alumni's results to date is provided together with some comparative data.


2016 ◽  
Vol 6 (4) ◽  
pp. 209-223

During the university course the future legal psychologists have to master a wide range of professional competencies, among them are those that can be classified as management, with an emphasis on project making competencies and their relationship with the project making professional culture. The article presents the results of students' self-evaluation competencies. This research was a part of the monitoring of learning outcomes in a number of disciplines in the Faculty of Legal Psychology, Moscow State University of Psychology and Education. The author raises the problem of defining the concepts of "project culture" and "psychological culture of project making", which still do not have a clear definition inspite of the intensive development of the socio-cultural, innovative and other forms of project making. For legal psychologists project making culture involves the acquisition of psychologically correct approaches to the development, evaluation, promotion and institutionalization of the ideas, so they can provide the solution of professional problems.


2001 ◽  
Vol 89 (3) ◽  
pp. 583-588 ◽  
Author(s):  
Jacobus G. Maree ◽  
Tobia Steyn

At the University of Pretoria during 1999 the thinking-style preferences of three groups of students ( ns = 50, 31, and 13) taking a first course in calculus were assessed using the Herrmann Brain Dominance Instrument. Analysis affirmed diversity in thinking-style preferences among the students and that the groups' scores represent a composite range of such preferences. Clearly, teachers of mathematics should be aware of and accommodate this diversity in instructional activities.


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