TEDE Communidade:
http://repositorio.bc.ufg.br/tede/handle/tde/144
Mon, 27 Jan 2020 03:42:09 GMT2020-01-27T03:42:09ZA ruptura entre o ensino de Matemática nos níveis básico e superior e a adoção de uma perspectiva contrária para a sua minimização
http://repositorio.bc.ufg.br/tede/handle/tede/10328
Título: A ruptura entre o ensino de Matemática nos níveis básico e superior e a adoção de uma perspectiva contrária para a sua minimização
Autor: Tomé, Ricardo
Primeiro orientador: Dias, Ivonildes Ribeiro Martins
Abstract: As a teacher in Basic Education, for over 12 years, for along time, I tried to
justify the contents I taught, from the yours contextualizations. However, I
realized that to understand mathematics it would not be enough to
contemplate it only by observing its presence in our daily lives, since
Mathematics itself as a human creation is far beyond this limitation, since it
deals with subjects that are only justified by its usefulness, within
Mathematics itself, and that are unquestionably relevant to its own
development. Thus we proposed to conduct a discussion that argued for the
inclusion of aspects of Scientific Mathematics in the teaching of Mathematics
in Basic Education. Therefor we, seek to discuss current education and some
of its elements, to show that initiatives are being developed in this sense,
specifically, some OBMEP projects, as well as to try to understand past
situations in which this same perspective was adopted, even claiming what
they called “modernization of Mathematics teaching”.
Instituição: Universidade Federal de Goiás
Tipo do documento: DissertaçãoMon, 16 Dec 2019 00:00:00 GMThttp://repositorio.bc.ufg.br/tede/handle/tede/103282019-12-16T00:00:00ZReta de Euler, circunferência dos nove pontos, sólidos platônicos e arquimedianos: aspectos teóricos, suas construções em GeoGebra e aplicações no ensino
http://repositorio.bc.ufg.br/tede/handle/tede/10308
Título: Reta de Euler, circunferência dos nove pontos, sólidos platônicos e arquimedianos: aspectos teóricos, suas construções em GeoGebra e aplicações no ensino
Autor: Stival, Erick Gomes Pires
Primeiro orientador: Lima, Thaynara Arielly de
Abstract: This study has as main theme the use of digital technologies to teach geometry. The objective is to show how a classroom approach can be favorable to the teaching of this discipline and for that reason the geometric constructions in the Geogebra program have been taken as object of study. Initially it was proposed a theoretical survey that would support the study, guiding the way in which the work would develop. After a brief presentation of the program Geogebra, was developed the construction of some geometric figures, detailing its main characteristics and results, also showing a guide for its construction in the program. The proposed figures were the notable points of a triangle (barycentre, orthocenter, incenter and circumcenter), Euler’s straight line, the nine-point circle, the platonic solids (tetrahedron, hexahedron or cube, octahedron, dodecahedron and icosahedron), and the archimedean solids (truncated tetrahedron, truncated dodecahedron, truncated icosahedron, snub cube, cuboctahedron, dodecahedron snub, icosidodecahedron, rombicuboctahedron, great rombicuboctahedron, rhombicosidodecahedron and large rhombicosidodecahedron). These constructions served for the final step of this work which was an experiment of teaching involving students of the 8th and 9th year of the private school system. The experiment consisted of three stages, the first being done in the classroom using paper, rubber, ruler, compass and protractor, the second using the program and the third comparing the previous two steps. During the experiment, the geometric construction and the teaching possibilities were emphasized and one of the main results obtained indicated that Geogebra was well accepted and that all the students expect to work with it again, because it makes the geometry more accessible until for those who say they have no affinity with this discipline. Another result observed is how to use this didactic resource in the classroom, since it was well accepted and showed positive results in teaching.
Instituição: Universidade Federal de Goiás
Tipo do documento: DissertaçãoMon, 09 Dec 2019 00:00:00 GMThttp://repositorio.bc.ufg.br/tede/handle/tede/103082019-12-09T00:00:00ZA identidade de Euler e suas constantes
http://repositorio.bc.ufg.br/tede/handle/tede/10298
Título: A identidade de Euler e suas constantes
Autor: Reis, Alberto Santos dos
Primeiro orientador: Lima, Thaynara Arielly de
Abstract: Teaching math by telling its story can elucidate a series of questions that highlight the need for students to understand the context in which some content is inserted. Such
questions may be: who invented mathematics? Why do I need to study this content? In
addition, this procedure can be a way of illustration as lessons and motivating students,
thus obtaining more significant results in the teaching and learning process.
Knowing how mathematics has developed and who its creators and discoverers
are critical to making sense of the content of basic education, often taken as done
and _nished, as mechanical and without a story that characterizes its discovery or
creation. It is in order to bring such elements to this stage of teaching that this paper
proposes to objectively report the life and legacy of a brilliant and extremely creative
mathematician, Leonhard Euler. As well, emphasize some of his creations present in
basic education.
It is also proposed to highlight one of his creations, , the identity of
Euler, considered one of the most beautiful of all time. Telling the history of this
identity, followed by its demonstration and characterization of each of the constants
that compose it.
Instituição: Universidade Federal de Goiás
Tipo do documento: DissertaçãoFri, 20 Dec 2019 00:00:00 GMThttp://repositorio.bc.ufg.br/tede/handle/tede/102982019-12-20T00:00:00ZOn the crossing limit cycles for piecewise linear differential systems on the plane
http://repositorio.bc.ufg.br/tede/handle/tede/10260
Título: On the crossing limit cycles for piecewise linear differential systems on the plane
Autor: Ruiz, Jeidy Johana Jimenez
Primeiro orientador: Medrado, João Carlos da Rocha
Abstract: In this work we analyze the version of Hilbert’s 16th problem for piecewise linear
differential systems in the plane for a particular case, more precisely in Chapter 2
we study on the maximum numbers of crossing limit cycles that can have the planar
piecewise linear differential systems separated by a straight line S and formed by two
linear differential systems X−;X+ which singularities are symmetrical with respect to the
straight line of discontinuity S and they are on the straight line y = sx, s e R. In [24, 27]
it was proved that piecewise linear differential centers separated by a straight line have no
crossing limit cycles nevertheless in [20, 28] were studied planar discontinuous piecewise
linear differential centers where the curve of discontinuity is not a straight line, and it
was shown that the number of crossing limit cycles in these systems is non-zero. For this
reason it is interesting to study the role which plays the shape of the discontinuity curve in
the number of crossing limit cycles that planar discontinuous piecewise linear differential
centers can have. In Chapter 3 we study on the upper bounds for the maximum number
of crossing limit cycles with either two or four points on the discontinuity curve S, when
S is any conic. And finally in Chapter 4 we study on the numbers of crossing limit cycles
with four points on the discontinuity curve S, when S is a reducible cubic curve formed
either by a circle and a straight line, or by a parabola and a straight line.
Instituição: Universidade Federal de Goiás
Tipo do documento: TeseThu, 05 Dec 2019 00:00:00 GMThttp://repositorio.bc.ufg.br/tede/handle/tede/102602019-12-05T00:00:00Z