Krekó Béla szerepe a közgazdászképzés modernizálásában. Krekó Béla (1915-1994) emlékére

Krekó Béla a magyar közgazdasági oktatás megújításának kiemelkedő alakja, aki 1956 után és az 1960-as években a Marx Károly Közgazdaságtudományi Egyetemen (MKKE) élharcosa volt a matematika oktatás reformjának, az operációkutatási oktatás bevezetésének és a tervmatematika szak beindításának. Születésének 100-ik évfordulóján megemlékezünk róla, mint a közgazdászképzés modernizálásának egyik legfontosabb szereplőjéről és a generációk számára alapműként szolgáló könyvek szerzőjéről. Ízelítőt adunk ezeknek a könyveknek az egységes szemléletét adó elemi bázistranszformáció (pivotálás) felhasználásából a lineáris algebra néhány klasszikus problémájának megoldására.

Factors affecting the alignment of *grades and reading scores for third-grade students on the Florida Comprehensive Assessment Test

The purpose of this study was to aid in understanding the relationship between current Reading report card grading practices and standards-based state standardized testing results in Reading and factors associated with the alignment of this relationship. Report card and Florida Comprehensive Assessment Test (FLAT) data for 2004 were collected for 1064 third grade students in nine schools of one feeder pattern in Florida's Miami-Dade County Public Schools. A Third Grade Teacher Questionnaire was administered to 48 Reading teachers. The questionnaire contained items relating to teachers' education, teaching experience, grading practices, and beliefs about the FCAT, instructional Reading activities, methods, and materials. ^ Findings of this study support a strong relationship between report card grades and FCAT Reading achievement levels. However, individual school correlational analysis showed significant differences among schools' alignment measures. Higher teacher alignment between grades and FCAT levels was associated with teachers spending more time on individualized methods of Reading instruction and to teachers feeling there was not enough time to teach and help individual students. Lower teacher alignment of grades and achievement levels was associated with teachers taking homework into account in the final Reading grade. Teacher alignment of grades and achievement levels was not associated with teacher beliefs concerning the FCAT, instructional activities in Reading and Language Arts, the Reading program used, the model of delivery of the Reading program, instruction or type of instructional planning done by the teachers. ^ This study highlights the need for further investigations related to determining additional teacher factors that may affect the alignment relationship between report card grades and standards-based state standardized testing results. ^

The impact of standards-based practices in mathematics on the achievement of low-performing students

This study examined standards-based mathematics reform initiatives to determine if they would improve student achievement on the part of low-performing students. New curricula, the Carnegie Learning Cognitive Tutor®, were provided for algebra and geometry students. The new instructional strategy relied on both the teacher-led instruction and the use of computers to differentiate instruction for individual students. Mathematics teachers received ongoing professional development to help them implement the new curricula. In addition, teachers were provided with ongoing support to assist them with the transformation of the learning environments for students using standards-based practices. This quasi-experimental (nonrandomized) study involved teachers in two matched urban high schools. Analyses (ANCOVAs) revealed that the experimental group with an appropriately implemented program had significantly higher learning gains than the comparison group as determined by the students' 2007 mathematics Developmental Scale Score (DSS). In addition, the experimental group's adjusted mean for the second interim mathematics assessment was significantly higher than the comparison group's mean. The findings support the idea that if the traditional curriculum is replaced with standards-based curriculum, and the curriculum is implemented as intended, low-performing students may make significant learning gains. With respect to the teaching practices as observed with the Classroom Observation Protocol (COP), t-tests were conducted on four constructs. The results for both the algebra and geometry teachers on the constructs were not significant. The COP indicated that teachers in both the experimental and comparison groups used traditional instruction strategies in their classrooms. The analyses of covariance (ANCOVA) on the use of technology revealed no significant main effects for computer use.

Cenário da produção acadêmica em história da matemática no ensino de matemática: uma análise reflexiva das teses e dissertações (1990-2010)

This research aims to make a reflective analysis about the academic production originated in the stricto sensu post graduation programs in the country, produced in the period of 1990 to 2010, in the field of History of Mathematics, especifically on works about the History of Mathematics in Mathematics education and that present pedagogical proposals that make use of the History of Mathematics in order to teach Mathematics. Defending the thesis that the researches on mathematics education with goals turned to the use of didactic proposals related to the history of mathematic that take in consideration the coherency between epistemological aspects inherent to mathematics history and anthological elements materialized on the conceptions of mathematics and mathematics history and of apprenticeship (implicitly or explicitly exposed) may originate significant contribution to the field of history of mathematics on education. Among these, nine were Master’s Degree dissertations and five PHD’s theses. The reflective analysis was accomplished from two matrixes; one from theoretical nature and the other, ontologic nature, elaborated from the pretexts of Sanches Gamboa, about the epistemological analysis from academic production in the field of Mathematics Education and the following theoretical perspectives in the field of History of Mathematics Education, that are: linear evolutionary theory, structural construtivist operative, evolutionary discontinuous, historical and socialcultural investigation and the use of activities estimulating the usage of verbal and nonverbal expressions. These perspectives were based on the works of Miguel and Miorim, Mendes and Radford. As results, we have detected some established dissonances between the categories related to theoretical and ontologic levels and the pedagogical proposal presented in these researches. On the other hand, we have discovered works that are able to establish consonances between the theoretical and ontological elements and the presented pedagogical proposal. These works carry significative contributions to the field of History of Mathematics applied to Mathematics pedagogical practice, inclusively presenting significative theoretical elements to the production of knowledge recognized as scientific in the Mathematics field

A Haptic System for Depicting Mathematical Graphics for Students with Visual Impairments

When teaching students with visual impairments educators generally rely on tactile tools to depict visual mathematical topics. Tactile media, such as embossed paper and simple manipulable materials, are typically used to convey graphical information. Although these tools are easy to use and relatively inexpensive, they are solely tactile and are not modifiable. Dynamic and interactive technologies such as pin matrices and haptic pens are also commercially available, but tend to be more expensive and less intuitive. This study aims to bridge the gap between easy-to-use tactile tools and dynamic, interactive technologies in order to facilitate the haptic learning of mathematical concepts. We developed an haptic assistive device using a Tanvas electrostatic touchscreen that provides the user with multimodal (haptic, auditory, and visual) output. Three methodological steps comprise this research: 1) a systematic literature review of the state of the art in the design and testing of tactile and haptic assistive devices, 2) a user-centered system design, and 3) testing of the system’s effectiveness via a usability study. The electrostatic touchscreen exhibits promise as an assistive device for displaying visual mathematical elements via the haptic modality.

Roda dos sentidos: a formação continuada de professores em espaços de coletividade

A dissertação de mestrado aqui apresentada está vinculada ao Programa de Pós Graduação em Educação – PPGEdu, da Universidade Federal do Rio Grande – FURG, situada na linha de pesquisa Culturas, Linguagens e Utopias. O objetivo do estudo é contribuir para que os professores possam pensar em outras práticas de formação docente dentro dos espaços educativos nos quais atuam, desenvolvendo suas ações pedagógicas, a partir da reflexão sobre cotidiano docente no coletivo. A pesquisa envolve um grupo de professores que se propôs a estudar a categoria trabalho e seus entrelaçamentos com o trabalho docente a partir da perspectiva marxista. Tal grupo organizou-se tendo em vista a metodologia das Rodas de Formação, conforme a perspectiva de Warschauer, intitulando-se Roda dos Sentidos. Como corpus de análise foram utilizados os registros escritos em um portfólio coletivo, realizado a cada semana por um dos professores da Roda. Tal escrita era alternada entre os sujeitos para que, assim, todos contribuíssem, ao seu modo, na composição dos registros da Roda dos Sentidos. Foram analisadas as escritas dos anos de 2011 e 2012, buscando-se responder ao questionamento: ―que significados de formação docente são vivenciados em espaços coletivos como os da Roda dos Sentidos?‖ A análise dos dados foi inspirada na Análise Textual Discursiva – ATD, de Moraes e Galiazzi, inicialmente realizou-se a impregnação do material produzido pelos sujeitos da pesquisa, para então proceder com a unitarização, a construção de categorias analíticas e a escrita de metatextos. As problematizações realizadas no decorrer da dissertação foram apontando compreensões sobre a importância da formação docente no coletivo, constituída pelos estudos e diálogos vivenciados pelos sujeitos envolvidos; a compreensão das amarras do sistema societário que interferem no trabalho docente, salientando a necessidade dos professores resgatarem, enquanto categoria, sua capacidade de luta, seu sentido de união e coletividade no trabalho, fortalecendo suas representatividades através dos sindicatos; a compreensão da profissão docente como interpelada pelas relações humanas, ao entrelaçar a construção do conhecimento aos sentimentos como afetividade, respeito, alegria e esperança, envolvidos nesse processo, estão, nesse sentido, os professores constituindo sua humana docência. A partir das análises realizadas, compreender-se que as vivências de estudo e formação na Roda dos Sentidos, proporcionaram momentos de avanços teóricos, realizados a partir de diálogos sobre o trabalho e o trabalho docente, potencializados pelos registros escritos e compartilhados nos encontros da Roda, possíveis a partir da construção do sentido de coletividade, compreendendo-se, assim, a importância dos elos afetivos na constituição docente.

Teacher-student relationships

An updated edition of the comprehensive introduction to the rapidly growing area of middle schooling, for teachers, teacher education students and school administrators.The middle years of schooling are increasingly recognised as a crucial stage in students' lives, one that has significant consequences for ongoing educational success. International research indicates that young adolescents benefit from programs designed especially for their needs. Teaching Middle Years offers a systematic overview of the philosophy, principles and issues in middle schooling. It includes contributions from academics and school-based practitioners on intellectual and emotional development in early adolescence, pedagogy, curriculum and assessment of middle years students. This second edition is fully revised to reflect the latest research findings. It includes new chapters on students with diverse needs, school partnerships with families and community, and effective team teaching. Also new to this edition is a chapter that brings middle schooling concepts to life by providing real examples of reform in action.Written for teachers, student teachers, education leaders and policy makers, Teaching Middle Years is an essential resource for anyone involved in educating young adolescents.

Correlación entre el examen de admisión y el rendimiento en el primer año de la carrera Enseñanza de la Matemática en la UNA

This article analyzes the relationship between the admission exams from the Universidad Nacional de Costa Rica (UNA) and the performance of students during their first two courses of specialization in the field of Teaching Mathematics.In this analysis, the following variables were considered: individual result at the admission exam, average performance during high school and during the first two Mathematics courses of the career. To determine the relation between the variables, Pearson’s correlation coefficient was used.The results reveal that the different modules of the admission exams show a low correlation with the performance in both courses. Therefore, the research concluded that the current process of selection of students, based on an admission exam, is not a tool that can be considered adequate to detect the previous knowledge to guarantee the success in the university career

Tekstiilityötä ja matematiikkaa yhdistävän oppimateriaalin käyttökelpoisuus perusopetuksen yläluokilla

In this study the researcher wanted to show the observed connection of mathematics and textile work. To carry this out the researcher designed a textbook by herself for the upper secondary school in Tietoteollisuuden Naiset TiNA project at Helsinki University of Technology (URL:http://tina.tkk.fi/). The assignments were designed as additional teaching material to enhance and reinforce female students confidence in mathematics and in the management of their textile work. The research strategy applied action research, out of which two cycles two have been carried out. The first cycle consists of establishing the textbook and in the second cycle its usability is investigated. The third cycle is not included in this report. In the second cycle of the action research the data was collected from 15 teachers, five textile teachers, four mathematics teachers and six teachers of both subjects. They all got familiar with the textbook assignments and answered a questionnaire on the basis of their own teaching experience. The questionnaire was established by applying the theories of usability and teaching material assessment study. The data consisted of qualitative and quantitative information, which was analysed by content analysis with computer assisted table program to either qualitative or statistical description. According to the research results, the textbook assignments seamed to be applied better to mathematics lessons than textile work. The assignments pointed out, however, the clear interconnectedness of textile work and mathematics. Most of the assignments could be applied as such or as applications in the upper secondary school textile work and mathematics lessons. The textbook assignments were also applicable in different stages of the teaching process, e.g. as introduction, repetition or to support individual work or as group projects. In principle the textbook assignments were in well placed and designed in the correct level of difficulty. Negative findings concerned some too difficult assignments, lack of pupil motivation and unfamiliar form of task for the teacher. More clarity for some assignments was wished for and there was especially expressed a need for easy tasks and assignments in geometry. Assignments leading to the independent thinking of the pupil were additionally asked for. Two important improvements concerning the textbook attainability would be to get the assignments in html format over the Internet and to add a handicraft reference book.

Uma proposta para introdução de noções de Cálculo no ensino médio

A presente dissertação tem o objetivo de propor a reinclusão de elementos de Cálculo no ensino médio, pois no passado o Cálculo fazia parte do currículo e foi abolido após uma reforma no ensino da matemática. O trabalho apresenta os resultados de um levantamento estatístico sobre os índices de reprovação na disciplina Cálculo Diferencial e Integral I nos períodos mais recentes da Universidade do Estado do Rio de Janeiro (UERJ) e, também, uma pesquisa quantitativa com quarenta professores de matemática com o objetivo de analisar a viabilidade do projeto e os problemas a serem enfrentados. Por fim, a dissertação conta com uma série de atividades comentadas sobre o tema de limites, que é o foco do trabalho. Tais atividades podem ser incluídas já no 1 ano do ensino médio, paralelamente ao conteúdo de funções, e visam proporcionar aos estudantes o contato com elementos de Cálculo em uma linguagem acessível, e orientar o professor nesta tarefa

A gestão do currículo no contexto de um grupo de professores de matemática

Tese de doutoramento, Educação (Didática da Matemática), Universidade de Lisboa, Instituto de Educação, 2014