Uma investigação sobre a utilização de materiais didáticos manipuláveis e a resolução de problemas no ensino e na aprendizagem de matemática dos anos iniciais do Ensino Fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Narrativas de professoras que ensinam matemática na região de Blumenau (SC): sobre as feiras catarinenses de matemática e as práticas e e concepções sobre ensino e aprendizagem de matemática

Pós-graduação em Educação para a Ciência - FC

O longo caminho: guerreiro ramos e a sociologia da administração antes de a nova ciência das organizações

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Investigação sobre a construção das noções espaço-geométricas por alunos da educação infantil

This research aims to understand how students of Early Childhood Education (considering the range of 2-3 years) build the space - geometric notions from the interaction established with the school routine. The venue was a municipal school Miners Tietê, within the State of São Paulo. The interest in this research took place from two reasons: the first because of course taken “Mathematics in Early Childhood Education” and the second stemmed from my professional work in a school for early childhood education. This research is initially composed by bibliographic studies concerning the topic and was grounded in a qualitative interpretive approach, aiming to investigate the psychological process of building space - geometric notions in children. The procedures used in the initial research to collect data were interviews using the method of clinical type and Piagetian tests. Thus allows us to understand the construction of the geometric space by children in their topological, projective and Euclidean relations

Os três problemas clássicos da Matemática grega

Pós-graduação em Matemática em Rede Nacional - IBILCE

A construção de uma identidade profissional

Pós-graduação em Educação Matemática - IGCE

Autogenous bone grafts contamination after exposure to the oral cavity

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Ecos de Euclides: notas sobre a influência d Os Elementos a partir de algumas doutrinas filosóficas

Based on the study of some philosophical schools – such as the Cartesian Racionalism, the Empiricism of Hume and Kant’s Criticism – and of some brief remarks on Mathematics in ancient world – particularly the greek Mathematics – this paper intends to understand how the euclidean ideas have been taken for a long time as a model of how to geometrize and of what Mathematics is.

Tecnologias de Informação e Comunicação (TICs) e literatura, uma aposta notável

The aim of this study was to develop a qualitative research of bibliographic nature, in order to verify how has been the use of new Information and Communication Technologies (ICTs) and literary reading in early childhood education.. It is believed to be necessary for children, since their early childhood, to, be in contact with various literary works of aesthetic value, which will enable them to understand this particular literary language - and the imagery that comes with it - what can instigate appreciate literature and get the reading habit. The use of ICTs by children beyond the use of games and watching stories on computers, tablets and smartphones, for example, for the production of videos and slides or creating stories, enable new experiences of redesigning and construction of knowledge and culture. The idea for this research came from reading the numerous texts that deal with the need to understand the child as an active subject in the construction of culture and society, rather than as receiving reproductive and cultural orders (CRIANÇAS, 2012). In this sense, in addition to the newsletters Equity For Children: Latin America (CRIANÇAS, 2012), the understanding of childhood and child in the works of Walter O. Kohan (2005; 2006) supports this study. This research proposal was also based on authors and documents that point to the need to promote, since the first stages of Basic Education, the literary reading as a means of enjoyment and emancipation (LAJOLO 2001a; Barthes, 2007; FILIPOUSKY, 2009; BRAZIL, 2010; MACHADO, 2011; VASQUES, 2013), and an education connected to the technological advances of the twenty-first century (BRAZIL, 1997, CHAVES, 1998; DEMO, 2008)

Writing in the Mathematics Classroom: Does It Have an Effect on Students’ Mathematical Reasoning?

In this action research study of my classroom of 5th grade mathematics, I investigate how to improve students’ written explanations to and reasoning of math problems. For this, I look at journal writing, dialogue, and collaborative grouping and its effects on students’ conceptual understanding of the mathematics. In particular, I look at its effects on students’ written explanations to various math problems throughout the semester. Throughout the study students worked on math problems in cooperative groups and then shared their solutions with classmates. Along with this I focus on the dialogue that occurred during these interactions and whether and how it moved students to a deeper level of conceptual understanding. Students also wrote responses about their learning in a weekly math journal. The purpose of this journal is two-fold. One is to have students write out their ideas. Second, is for me to provide the students with feedback on their responses. My research reveals that the integration of collaborative grouping, journaling, and active dialogue between students and teacher helps students develop a deeper understanding of mathematics concepts as well as an increase in their confidence as problem solvers. The use of journaling, dialogue, and collaborative grouping reveals themselves as promising learning tasks that can be integrated in a mathematics curriculum that seeks to cultivate students’ thinking and reasoning.

How to Better Prepare for Assessment and Create a More Technologically Advanced Classroom

In this action research study of my classroom of 8th grade mathematics, I investigated how to better prepare these students for quizzes and how technology can be used in the classroom. I discovered that there are many different ways to challenge students and help them prepare for assessments. There are also many ways to use technology in the classroom if one has the opportunities to use some of the tools, such as Power Point and Algebra Tiles. As a result of this research, I plan to increase the scores on state standards while also allowing the students to enjoy technology during this process.

Student Transition to College

In this action research study of recent graduates from my district, I investigated their level of readiness for college-level mathematics courses. I discovered that the students have a wide variety of experiences in college. There are many factors that determine success in college mathematics courses. These factors include size of college, private or public, university or community college. Other factors include students’ choice of major, maturity level, and work ethic. As a result of this research, I plan to raise the individual expectations in my classroom. It is our duty as high school educators to prepare the students for a wide variety of experiences in college. We cannot control where the students attend college or what they study. High schools need to prepare the students for all possibilities and ensure that they have a solid knowledge of the baseline mathematics skills.

Is Competition Making a Comeback? Discovering Methods to Keep Female Adolescents Engaged in STEM: A Phenomenological Approach

The decreasing number of women who are graduating in the Science, Technology, Engineering and Mathematics (STEM) fields continues to be a major concern. Despite national support in the form of grants provided by National Science Foundation, National Center for Information and Technology and legislation passed such as the Deficit Reduction Act of 2005 that encourages women to enter the STEM fields, the number of women actually graduating in these fields is surprisingly low. This research study focuses on a robotics competition and its ability to engage female adolescents in STEM curricula. Data have been collected to help explain why young women are reticent to take technology or engineering type courses in high school and college. Factors that have been described include attitudes, parental support, social aspects, peer pressure, and lack of role models. Often these courses were thought to have masculine and “nerdy” overtones. The courses were usually majority male enrollments and appeared to be very competitive. With more female adolescents engaging in this type of competitive atmosphere, this study gathered information to discover what about the competition appealed to these young women. Focus groups were used to gather information from adolescent females who were participating in the First Lego League (FLL) and CEENBoT competitions. What enticed them to participate in a curriculum that data demonstrated many of their peers avoided? FLL and CEENBoT are robotics programs based on curricula that are taught in afterschool programs in non-formal environments. These programs culminate in a very large robotics competition. My research questions included: What are the factors that encouraged participants to participate in the robotics competition? What was the original enticement to the FLL and CEENBoT programs? What will make participants want to come back and what are the participants’ plans for the future? My research mirrored data of previous findings such as lack of role models, the need for parental support, social stigmatisms and peer pressure are still major factors that determine whether adolescent females seek out STEM activities. An interesting finding, which was an exception to previous findings, was these female adolescents enjoyed the challenge of the competition. The informal learning environments encouraged an atmosphere of social engagement and cooperative learning. Many volunteers that led the afterschool programs were women (role models) and a majority of parents showed support by accommodating an afterschool situation. The young women that were engaged in the competition noted it was a friendly competition, but they were all there to win. All who participated in the competition had a similar learning environment: competitive but cooperative. Further research is needed to determine if it is the learning environment that lures adolescent females to the program and entices them to continue in the STEM fields or if it is the competitive aspect of the culminating activity. Advisors: James King and Allen Steckelberg

Segregated anatomical input to sub-regions of the rodent superior colliculus associated with approach and defense

The superior colliculus (SC) is responsible for sensorimotor transformations required to direct gaze toward or a way from unexpected, biologically salient events. Significant changes in the external world are signaled to SC through primary multisensory afferents, spatially organized according to a retinotopic topography. For animals, where anunexpected event could indicate the presence of either predator or prey, early decisions to approach or avoid are particularly important. Rodents' ecology dictates predators are most often detected initially as movements in upper visual field (mapped in medial SC), while appetitive stimuli are normally found in lower visual field (mapped in lateral SC). Our purpose was to exploit this functional segregation to reveal neural sites that can bias or modulate initial approach or avoidance responses. Small injections of Fluoro-Gold were made into medial or lateral sub-regions of intermediate and deep layers of SC (SCm/SCl). A remarkable segregation of input to these two functionally defined areas was found. (i) There were structures that projected only to SCm (e.g., specific cortical areas, lateral geniculate and suprageniculate thalamic nuclei, ventromedial and premammillary hypothalamic nuclei, and several brain-stem areas) or SCl (e.g., primary somatosensory cortex representing upper body parts and vibrissae and parvicellular reticular nucleus in the brainstem). (ii) Other structures projected to both SCm and SCl but from topographically segregated populations of neurons (e.g., zona incerta and substantia nigra pars reticulata). (iii) There were a few brainstem areas in which retrogradely labeled neurons were spatially overlapping (e.g., pedunculopontine nucleus and locus coeruleus). These results indicate significantly more structures across the rat neuraxis are in a position to modulate defense responses evoked from SCm, and that neural mechanisms modulating SC-mediated defense or appetitive behavior are almost entirely segregated.

The discriminants associated to isotropy representations of symmetric spaces

We consider a generalized discriminant associated to a symmetric space which generalizes the discriminant of real symmetric matrices, and note that it can be written as a sum of squares of real polynomials. A method to estimate the minimum number of squares required to represent the discrimininant is developed and applied in examples.