Proposta de ensino de geometria euclidiana plana para o sexto ano do ensino fundamental sob a ótica do raciocínio lógico-dedutivo

This study will introduce a brief history of the Geometry development, focused in the appearing of the organization in the logical deductive structure achieved by Euclid. Following will be discussed the situation of the learning and teaching of geometry topics since antiquity until the present day, where we will notice that it does not happen with the logical-deductive perspective. After this contextualization, we will propose the realization of a geometry workshop for students of the sixth grade of elementary school, focusing to the development of logical-deductive reasoning. Applied to workshop, changes were observed in the organization of thought of the participating students in the research, furthering the understanding of the concepts and properties of flat euclidean geometry.

Programa Etnomatemática: ponderações da prática pedagógica

The aim of this present work is investigating the interest and motivation for learning, awakened in pupils when the educator practice is guided by the ethnomathematics perspective. The main question is: Can an ethnomathematic approach awaken enthusiasm in pupils, causing it to become more critic and active in building their knowledge? The methodology that guides the investigation is qualitative, based on technical arising of the ethnographic case study. Theoretical contributions that support the investigation are from the scientific methodology and from ethnomathematics. The research material is composed by: researcher’s field diary, audio recording of participant observation, interviews reports of community residents and students parents, highlighting the material produced by students. This study was developed on an 8º year of high school of rural community. During the work were prioritized the ethnomathematics concepts of the Ethnomathematic Program, which establish a link exchange, where the lecturers inserts themselves on the reality of pupils in a way that promote an appreciation of their identity and a commitment to their learning. The educator investigates and values the ideas of pupils throughout dialogues. There are challenges for the application of education with ethno mathematic perspective, pointed out by authors, listed and supplemented in the research. In this context, it is believed that the socio-cultural knowledge must be respect, and as they are understood their specialties, capabilities and characteristics, this can guide teaching practice, making significant process for pupils, providing appropriation of scientific knowledge. Analysis of research practice indicated that students, research subjects, when they decided contextual issues, with their way of life, felt appreciated. The conclusion is that, with continuous action of contextualized of school mathematics, from the recognition of the environment and of cultural identity, the educator has the opportunity of review their own participant condition, and therefore promote an enthusiasm for learning. Because a motivated pupil becomes active, since that the all project is guided in a significant theme.

Metodologia de ensino do conceito de função exponencial à luz da teoria das situações didáticas

This essay presents a proposal on methodology over the mathematical object Exponential Function which enables the development of interpretative and creative skills with potential meaning to the students starting from a didactic sequence structured on the light of The Theory of Didactic Situations from Guy Brousseau and, from the Records of Semiotic Representation of Duval, providing interactions among the students, the teacher and the environment of cooperative learning where the students feel free to express their own ideas as well as to suggest their own approaches. The methodology presented has been developed according to the students first knowledge, valuing their different ways of registering, which have such an important role during the teaching and learning processes. The proposal has been applied to the students from the first year of high school of Colégio Estadual José de Anchieta Ensino Fundamental e Médio, located in a town called Dois Vizinhos –Paraná. In order to the development of the research the methodological tool Didactic Engineering Artigue which consists in a methodology developed only to the research with didactic situations. The main goal has been reached at first, which was to work on the conceptual part of the Exponential Function, the relation of dependence and its main characteristic so that the variable part is in the exponent. Moreover with no imposition but starting from suitable didactic situations, the students were able to realize that they could solve the problems which involve the exponential function and furthermore create new problems (according to their universe) modeled by this kind of function. Its believed that the methodology based on the theory of didactic situations, analysis of students registers, observation on mistakes and obstacles as well as reflections over the aspects of the didactic contract are of fundamental importance to the teaching practice and determinant during the teaching-learning process.

Demonstração de fórmulas matemáticas no ensino médio

The objective of this study is to analyze the validity of working with proofs in the classroom and to present a partial list of proofs of mathematical formulae of the Brazilian secondary/high school curriculum. The adaptation of the proofs into the knowledge and abilities of a secondary school student should also be considered. How the teaching of proofs is treated in official publications in Brazil and other countries is also described. Working with proofs provides a number of benefits to the students, including: the development of logical reasoning, argumentative capacity, analytical skills on a daily basis, as well as motivation and a better understanding of mathematics as a science. The convenience of including the teaching of proofs in Brazilian secondary school curriculum and the need of a balance between the abstraction of proofs and contextualization of the school programmes is discussed. The approach of the proof teaching in the classroom can become a motivating factor or, conversely, a discouraging one. The conclusion is that it would be very useful to create a reference list covering the mathematical expressions of school programmes with their respective proofs that can be understood by secondary school students.

A case study of teachers' mathematics content knowledge and attitudes toward mathematics and teaching

This study intended to measure teacher mathematical content knowledge both before and after the first year of teaching and taking graduate teacher education courses in the Teach for America (TFA) program, as well as measure attitudes toward mathematics and teaching both before and after TFA teachers’ first year. There was a significant increase in both mathematical content knowledge and attitudes toward mathematics over the TFA teachers’ first year teaching. Additionally, several significant correlations were found between attitudes toward mathematics and content knowledge. Finally, after a year of teaching, TFA teachers had significantly better attitudes toward mathematics and teaching than neutral.

An Empirical Study on Faculty Perceptions and Teaching Practices of Wikipedia

Some faculty members from different universities around the world have begun to use Wikipedia as a teaching tool in recent years. These experiences show, in most cases, very satisfactory results and a substantial improvement in various basic skills, as well as a positive influence on the students' motivation. Nevertheless and despite the growing importance of e-learning methodologies based on the use of the Internet for higher education, the use of Wikipedia as a teaching resource remains scarce among university faculty.Our investigation tries to identify which are the main factors that determine acceptance or resistance to that use. We approach the decision to use Wikipedia as a teaching tool by analyzing both the individual attributes of faculty members and the characteristics of the environment where they develop their teaching activity. From a specific survey sent to all faculty of the Universitat Oberta de Catalunya (UOC), pioneer and leader in online education in Spain, we have tried to infer the influence of these internal and external elements. The questionnaire was designed to measure different constructs: perceived quality of Wikipedia, teaching practices involving Wikipedia, use experience, perceived usefulness and use of 2.0 tools. Control items were also included for gathering information on gender, age, teaching experience, academic rank, and area of expertise.Our results reveal that academic rank, teaching experience, age or gender, are not decisive factors in explaining the educational use of Wikipedia. Instead, the decision to use it is closely linked to the perception of Wikipedia's quality, the use of other collaborative learning tools, an active attitude towards web 2.0 applications, and connections with the professional non-academic world. Situational context is also very important, since the use is higher when faculty members have got reference models in their close environment and when they perceive it is positively valued by their colleagues. As far as these attitudes, practices and cultural norms diverge in different scientific disciplines, we have also detected clear differences in the use of Wikipedia among areas of academic expertise. As a consequence, a greater application of Wikipedia both as a teaching resource and as a driver for teaching innovation would require much more active institutional policies and some changes in the dominant academic culture among faculty members.

Pre-Service Teachers’ Mathematics Language and Reflection in the Context of an Early Childhood Mathematics Methods Course

Thesis (Ph.D.)--University of Washington, 2016-06

Total quality management in English language teaching:a case study in Turkish higher education

The need to improve the management of language learning organizations in the light of the trend toward mass higher education and of the use of English as a world language was the starting point of this thesis. The thesis aims to assess the relevance, adequacy and the relative success of Total Quality Management (TQM) as a management philosophy. Taking this empirical evidence a TQM-oriented management project in a Turkish Higher Education context, the thesis observes the consequences of a change of organizational culture, with specific reference to teachers' attitudes towards management. Both qualitative and quantitative devices are employed to plot change and the value of these devices for identifying such is considered. The main focus of the thesis is the Soft S's (Shared Values, Style, Staff and Skills) of an organization rather than the Hard S's (System, Structure, Strategy). The thesis is not concerned with the teaching and learning processes, though the PDCA cycle (the Action Research Cycle) did play a part in the project for both teachers and the researcher involved in this study of organizational development. Both before the management project was launched, and at the end of the research period, the external measurement devices (Harrison's Culture Specification Device and Hofstede's VSM) were used to describe the culture of the Centre. During the management project, internal measurement devices were used to record the change including middle-management style change (the researcher in this case). The time period chosen for this study was between September 1991 and June 1994. During this period, each device was administered twice within a specific time period, ranging from a year to 32 months.

Perceptions of learning and teaching quality in Higher Education:developing a culture of co-creation of value

Perceptions about the quality of learning and teaching in Higher Education has for many years focused upon the application of market based principles. This includes the notion of students as “customers” of the Higher Education Institutions (HEI) service. We argue that the application of the customer analogy is unhelpful however, as students this approach is likely to affect student expectations about the service and their judgements about its quality. The purpose of this paper is to propose a study consisting of a series of interventions to develop a culture of value co-creation at a UK based HEI. By introducing CCV principles, it is hoped to steer students away from seeing themselves as “customers”, and passive recipients of in the learning and teaching process, to one where they take responsibility for their own learning experience, to be explored and acted upon in partnership with their lecturers and other stakeholders.

Heteronormativity and teaching: A phenomenological study of lesbian teachers

The purpose of this phenomenological study was to understand what impact “heteronormativity” has on a lesbian teacher's perception of her instructional style, content, and context of curriculum taught. Through taped interviews with lesbian educators, this research examined the lived experience of the lesbian teacher. The framework for this study included theories related to historical, sociocultural, and psychosocial development while the methodology included a qualitative design using primary elements of a phenomenological study outlined without ignoring the influence associated with contextualism. Due to the sensitive nature of the study nine women who were the focus of this research were volunteers with the first serving as a “gatekeeper” to assist in the pilot study. The subsequent group evolved as a result of “snowballing” to gain more participants. ^ The data in the form of narrative derived from the interviews was transcribed, color-coded, and organized into four themes and associated sub-themes, based upon the perceptions of these educators. These themes characterized the coming out process of a lesbian, which directly paralleled the personal and professional development of the lesbian educator, emerged as a result of the analysis. They included: (a) self-acknowledgement; (b) self-indentification; (c) coming out to other lesbians by overcoming fear and establishing relationships; (d) coming out to others by overcoming heteronormativity by using support groups in defining a lesbian's role as a teacher. ^ The results of this study showed that the acceptance of the lesbian culture, shared with the acknowledgement, rather than compliance or defiance, of cultural hegemony can allow the lesbian educator to develop a curriculum and a classroom climate that will foster understanding and even generate social change among colleagues, parents, and students, one person at a time. ^

A case study of teaching and learning practice in a Chinese adult institution

Résumé: Cette recherche s'est réalisée dans une institution chinoise de formation des adultes. Il existe très peu d'études présentant la pratique de l'enseignement et de l'apprentissage en Chine. Aussi, il semble que cette étude de cas puisse être utile. Elle porte sur le personnel de formation en administration économique dans un centre de formation de Tianjin. Le but premier de cette recherche est de décrire ce qui se fait à cet institut de formation des adultes. Les aspects couverts vont de la sélection du contenu de formation et des modalités d'enseignement jusqu'à la compréhension de l'enseignement et de l'apprentissage. À partir de l'expérience des professeurs de ce centre de Tianjin, cette étude cherche précisément à décrire leurs perceptions et leurs attitudes en regard d'un enseignement centré sur l'apprentissage et développé selon un mode de collaboration. Les fondements théoriques retenus s'inspirent des conceptions andragogiques de Knowles, de celles de Brookfield qui ont trait aux rôles des formateurs et formatrices d'adultes et de Conti qui présente une conception de l'enseignement qui se développe selon un mode de collaboration. Les données sont été retenues à la suite d'interviews et de questionnaires. Ce dernier instrument a été administré à 70 professeurs de formation aux adultes. Les résultats obtenus sont décrits et analysés. Les principaux éléments indiquent que la pratique actuelle de formation des adultes à ce centre de Tianjin ne tient pas compte des principes de l'éducation des adultes présenté selon un mode de collaboration. La formation est centrée sur l'enseignement. Il est à souhaiter que cette recherche contribuera à développer une meilleure compréhension de l'enseignement et de l'apprentissage en Chine tel que perçus par les formateurs et formatrices. Quelques suggestions de recherche complémentaires sont proposées à la fin.||Abstract: The present study grew out of one Chinese adult institute. Relatively few works are available that present a view of what actually happens in Chinese adult teaching and learning practice. Accordingly, it is believed that a case study on Tianjin Institute of Training Economic Management Personnel (TITEMP) which has been working for years in varions forms of adult programs, will be very useful addition to the knowledge of Chinese adult teaching and learning. The primary purpose of the present study is to serve as an introduction to one Chinese adult institute (TITEMP) in terms of characteristics of teaching, including selecting teaching content and teaching pattern, and to expand the understanding of Chinese adult teaching and learning. Based on the experiences of teachers at TITEMP, the study seeks to investigate the issues of teacher's perceptions and attitudes of teaching and learning to obtain implications toward learning-centred and collaborative mode. The theoretical foundations include andragogical conceptions (Knowles), roles of adult teachers (Brookfield), and conceptions of collaborative teaching and learning mode (Conti). The main sources of data are: the interviews and results of the questionnaire. Questionnaire responses from 70 teachers with knowledge of adult teaching and learning are described and interpreted. The general findings of the study are that the existing adult teaching practice at TITEMP does not adequately account for the principles of adult learning in a collaborative mode with adult students. Adult learning is teaching-centred. Some suggestions for further research are offered. It is hoped and believed that this research will contribute to a better understanding of Chinese adult teaching and learning in general, more particularly to the empirical study of the teachers from teaching and learning perspective in a Chinese adult higher learning setting. The research findings will be used as basis for the exploration of Chinese adult teaching.

A cross-cultural study of the higher-order structures underlying personality disorders in French-speaking Africa and Switzerland

Most studies about the higher-order dimensions to be considered in order to parsimoniously describe Personality Disorders (PDs) have identified between two and four factors but there is still no consensus about their exact number. In this context, the cultural stability of these structures might be a criterion to be considered. The aim of this study was to identify stable higher-order structures of PD traits in a French-speaking African and Swiss sample (N = 2,711). All subject completed the IPDE screening questionnaire. Using Everett's criterion and conducting a series of principal component analyses, a cross-culturally stable two- and four-factor structure were identified, associated with a total congruence coefficient of respectively .98 and .94 after Procrustes rotation. Moreover, these two structures were also highly replicable across the four African regions considered, North Africa, West Africa, Central Africa, and Mauritius, with a mean total congruence coefficient of respectively .97 and .87. The four-factor structure presented the advantage of being similar to Livesely's four components and of describing the ten PDs more accurately.

Online Learning and Teaching in Higher Education, a book review

Peer-reviewed

An empirical study on faculty perceptions and teaching practices of Wikipedia

Peer-reviewed

Matemáticas y juego = Mathematics and games

In this article we try to look at the learning of mathematics through games in the first years of schooling. The use of game resources in the class should not be carried out in a uniquely intuitive way but rather in a manner that contains some preliminary reflections such as, what do we understand by games? Why use games as a resource in the Mathematics classroom? And what does its use imply?