APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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Educazione Scientifica e Problemi di Ordinamento Accademico
Get PDFA comparative research of four normative documents on academic didactics which shows a gap relatively Scientific Education: since 1992, in fact, there is no Macro sector of university teaching Scientific Education or Science Didactics, a plan, that is, general: while there is a specific plan and composite, “just that field of study”, represented by different didactics of sciences, internal to certain Competitive Sectors. There are, however, both the general plan because the specific plan for the History and Philosophy and Methodology of Science and Technique. All this leads inevitably negative impact on the teaching and learning of science subject
Logica del certo e dell’incerto per la scuola primaria
Get PDFLearning the basics of the logic of certain and the uncertain is presented as the result of a work of an interdisciplinary team. Our experimentation involves essentially two aspects: language comprehension of a statement and analysis of the information. The first aspect is to see how children interpret a sentence with subject and predicate, that is, if they believe that the truth values that can be assigned are those of bivalent logic, i.e. true or false, or truth-values of a multivalent logic i.e. if there is the possibility/need to consider truth values intermediate between true and false such as: more true than false, more false than true, halfway between true and false. It is also required children to identify phrases not complete and therefore that are not linguistic statements. Regarding the second aspect it comes to analyzing the information on the concept expressed by a proposition, i.e. to see if it is possible to immediately assign to it a truth value, or if it is necessary to acquire a further information. Moreover we highlight the distinction between uncertainty due to incomplete information, which leads to probability assessments, and semantic uncertainty that leads to the theory of fuzzy sets
Ricerche di matematica con Giuseppina Varone
Get PDFIn memory of the researcher Pina Varone, I present the research carried out together for over 20 years. Some relevant issues and applicants were: the connection between teaching and research, and as an in-depth teaching emerge new research topics; the historical method for teaching mathematics and understanding of science; numerical simulation through the computer and educational applications; the Galois fields and cryptography; the decision problems under uncertainty
Quasi-Order Hypergroups and T-Hypergroups
No full textQuasi-order hypergroups were introduced by J. Chvalina in 90s of the lastcentury. They form a subclass of the class of all hypergroups, i.e. structureswith one associative hyperoperation fulfilling the reproduction axiom. In thispaper a theorem which allows an easy description of all quasi-order hyper-groups is mentioned and some results concerning the relation of quasi-orderand upper quasi-order hypergroups are given. Furthermore the transformationhypergroups acting on tolerance spaces are defined and an example of them isgive
Vougiouklis Contributions in the Field of Algebraic Hyperstructures
Get PDFThomas Vougiouklis was born in 1948, Greece. He has many contributions to algebraic hyperstructures. -structures are some of his main contributions. In this article, we study some of Vougiouklis ideas in the field of algebraic hyperstructures as follows: (1) Semi-direct hyperproduct of two hypergroups; (2) Representation of hypergroups; (3) Fundamental relation in hyperrings; (4) Commutative rings obtained from hyperrings; (5) -structures; (6) The uniting elements method; (7) The e-hyperstructures;(8) Helix-hyperoperations
The Epistemological Dimensions of Pedagogy
Get PDFPedagogic epistemology, as an autonomous philosophical subject, studies the development of knowledge in general. As subject applied in the domain of education science it has as specific aim the study of pedagogical knowledge, the manner in which the fundamental concepts in the domain of educational theory, training theory, curriculum theory, are built. The main aim of epistemology is to think critically about pedagogy, the research from the domain of education, training and curriculum. The part of pedagogic epistemology – as critic and problematic thinking – is to give to pedagogy that gnosiologic and heuristic aspect which confers to its ontological, methodological and normative step status of science
Indeterminate Problems in Greek Primary Education
Get PDFIndeterminate problems are problems that can be written with κ equations with more than κ unknowns and have been used since ancient times from many civilizations.Problem solving constitutes a critical part of Mathematics Educations, in which emphasis is given on the Curricula of Mathematics. Open-ended problems may have several correct answers or differed ways of finding the correct answer.In the present study the way students of the 5th grade manage an open-ended problem is examined and also elements of the way they solve it are presented
Mathematics, Music & Architecture (Matematica, Musica e Architettura)
Get PDFIn this note there are some aspects of the link between music, math and architecture. This link was very tight in the past but, unfortunately, today is a little lost. Authors show how the mathematics have been an important instrument in the development of music, especially in the creation of musical scales. The musical relationships have also been used in architecture with different motives, according to the historical periods in which they have been used. In order to better explain how these musical proportions fit into architectural works, numerous figures are presented. SuntoNella presente nota si presentano alcuni aspetti del legame fra musica, matematica ed architettura. Questo collegamento era molto stretto nel passato ma, purtroppo, oggi si è un po’ perduto. Gli autori mostranocome la matematica sia stata un importante strumento nello sviluppo della musica, soprattutto nella creazione delle scale musicali. Da Vitruvio in poi i rapporti musicali sono stati usati anche nell’architettura con motivazioni diverse, secondo i periodi storici in cui sono stati adoperati. Allo scopo di spiegare meglio come queste proporzioni musicali si adattano alle opere architettoniche, sono presentate numerose figure. Parole Chiave: Note musicali, frequenze, consonanza, diesis, bemolle, intervallo musicale, pentagramma, contrappunto, logaritmi
Matemagica come possibilita’ didattica
Get PDFIl paper affronta i temi legati all’influenza che i cambiamenti culturali contemporanei hanno sul sistema socio-educativo approfondendo la ricaduta di tali trasformazioni sui più comuni processi di apprendimento degli studenti. Si indaga, quindi, la possibilità di introdurre nuove strategie di insegnamento, basate su un orientamento ludico della didattica, capaci di valorizzare la specificità dell’attuale contesto comunicazionale e, dunque, di favorire il raggiungimento di risultati scolastici positivi. Si esamina in particolare il caso dell’insegnamento della matematica, analizzando le possibilità che il gioco matematico (matematica) introduce sia nel suo settore disciplinare specifico che, più in generale, in tutti gli altri
A decision model for the sustainable protection of human rights in Italian Prison System
Get PDFThe work starts from an analysis of the critical problems of the prison system in Italy. It aims to develop a decision-making model to address the issue of sustainable protection of human rights in prisons. It shows how, using the Saaty AHP procedure, it is possible to have an analytical reasoning guideline for the understanding of the validity of the various alternative choices, in order to facilitate the situation of the prisoners and their reintegration into society