APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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Preparation and Application of Mind Maps in Mathematics Teaching and Analysis of their Advantages in Relation to Classical Teaching Methods
Get PDFIn this article, we are dealing with mind maps and describing the experiment with application of mind maps in teaching mathematics at secondary schools. The experiment is aiming at comparing classical teaching and learning with mind maps. In the past, we created two groups of students (25 students per group), an experimental and a control group. We have set up a pre-test consisting of tasks not related to subject that will be taken through mind maps. By the end of the experiment, we apply a post-test with tasks directly focused on the subject that we will teach through mind maps. We will then evaluate the individual tests and then we will evaluate the effectiveness of the mind maps in the teaching process compared to the traditional methods
The Sum of the Series of Reciprocals of the Quadratic Polynomials with Complex Conjugate Roots
Get PDFThis contribution is a follow-up to author’s papers [1], [2], [3], [4], [5], [6], [7], and in particular [8] dealing with the sums of the series of reciprocals of quadratic polynomials with different positive integer roots, with double non-positive integer root, with different negative integer roots, with double positive integer root, with one negative and one positive integer root, with purely imaginary conjugate roots, with integer roots, and with the sum of the finite series of reciprocals of the quadratic polynomials with integerpurely imaginary conjugate roots respectively. We deal with the sum of the series of reciprocals of the quadratic polynomials with complex conjugate roots, derive the formula for the sum of these series and verify it by some examples evaluated using the basic programming language of the computer algebra system Maple 16. This contribution can be an inspiration for teachers of mathematics who are teaching the topic Infinite series or as a subject matter for work with talented students
Case Studies on the Application of Fuzzy Linear Programming in Decision-Making
Get PDFThis study demonstrated the effectiveness of fuzzy method in decision-making and recommends the integration of fuzzy methods in decision-making in production, transportation, power production and distribution and utility maintenance in Nigeria companies
A Proof of Descartes’ Rule of Signs
Get PDFIn 1637 Descartes, in his famous Géométrie, gave the rule of the signs without a proof. Later many different proofs appeared of algebraic and analytic nature. Among them in 1828 the algebraic proof of Gauss. In this note we present a proof of Descartes’ rule of signs that uses the roots of the first derivative of a polynomial and that can be presented to the students of the last year of a secondary school
Sums of Generalized Harmonic Series with Periodically Repeated Numerators (a,b) and (a,a,b,b)
Get PDFThis paper deals with certain generalization of the alternating harmonic series - the generalized convergent harmonic series with periodically repeated numerators (a,b) and (a,a,b,b). Firstly, we find out the value of the numerators b of the first series, for which the series converges, and determine the formula for the sum s(a) of this series. Then we determine the value of the numerators b of the second series, for which this series converges, and derive the formula for the sum s(a,a) of this second series. Finally, we verify these analytically obtained results and compute the sums of these series by using the computer algebra system Maple 16 and its basic programming language
The Pedagogist's Professional Practice and the Clinical Method
Get PDFThe "clinical" method is one of the possible methodological choices for Pedagogy as a profession and as a research, for Social Sciences and for other sciences, as well as for the professions that refer to these sciences.It can also be called "casuistic and situational method", and it is an exclusive alternative to the statistical operational method, with a full community of scientific rigor and technical applicativeness.It consists in the consideration of the individual case and of the single person with all its specific symptomatic and phenomenal characteristics, through the mediation of the professional to a general case within the limited number of general cases whose corpus makes science, profession and scientific and professional community, and in obtaining the indications for the help and the service to whom the professional has addressed.A particular reflection is dedicated to the specific technique for the transition from the particular to the general through the mediation provided by the professional, that is through human mediation, according to a non-tautological technique known from ancient Greece with the name of "abduction" or "retroduction" "Ἐπιχείρημα” or “Reductio ad absurdum” by Zeno from Elea (489-430), or 'απαγωγή known to Aristoteles (384-322).The theme offers a precious opportunity for various reflections on the profession of pedagogist and on his practice: a profession that has recently had its legal recognition in Italy too
A Journey into the Polyhedrons’ World
Get PDFIn this article the authors intend to present a very important topic of the geometry of space: the polyhedra. After having introduced their definition, their presence will be shown in nature, in everyday life and in art, starting from ancient Greece up to the present day. First of all, we will deal with regular polyhedra; subsequently we will introduce the important family, especially in the applications, of the Archimedean polyhedra. Finally, the interesting Goldberg polyhedra will be presented
The Ship Transportation of Passengers with Disabilities and The Disability-Related Training Procedures of Seamen: A Legal and Social Framework
Get PDFRecent programs aimed at the independent living of persons with disabilities, allow them to be costumers of sectors in which they have never had full access in the past. The Lisbon Treaty has distinctly recognized the existence of a community tourist area within the primary law, and CRPD has defined the principles of accessibility (art. 9) and accessible tourism (art. 30) as tools for the inclusion. In addition, tourism and transportation stakeholders must guarantee non-discriminatory services; they must approach persons with disabilities as every other customer, by taking in consideration their needs and rights, especially when it comes to their accessibility, assistance, and information. Companies of transportation must cooperate with DPOs in order to define disability-related training procedures
Understanding Scientific Inquiry
Get PDFScience is a process of inquiry: a process of asking and answering questions. However, a good question is more than an interrogatory, and a good answer is more than information: there are logical constraints that dictate when a question is answerable and what qualifies as an answer. This paper will provide an understanding of (1) when a question is answerable, (2) when a question is not ready to be asked, (3) when a question is trivial, (4) what is required for a response to be an answer, and (5) what sequence of inquiry is required to identify an answer. Equipped with this understanding, a scientist can better determine an appropriate sequence of study for a research program as well as identify the necessary arguments to warrant claims of understanding, funding, and the publication of research findings