Dynamics of change of mathematics education in Brazil and a scenario of current research

Mathematics education in Brazil, if we consider what one may call the scientific phase, is about 30 years old. The papers for this special issue focus mainly on this period. During these years, many trends have emerged in mathematics education to address the complex problems facing Brazilian society. However, most Brazilian mathematics educators feel that the separation of research into trends is a theoretical idealization that does not respond to the dynamics of the problems we face. We raise the conjecture that the complexity of Brazilian society, where pockets of wealth coexist with the most shocking poverty, has contributed to the adoption and generation of different strands in mathematics education, crossing the boundaries between trends. At a more micro level, we also raise the conjecture that Brazilian trends in research are interwoven because of the way that Brazilian mathematics educators have experienced the process of globalization over these 30 years. This tapestry of trends is a predominant characteristic of mathematics education in Brazil. © FIZ Karlsruhe 2009.

Financial Education Through Mathematics and IT Curricula: Pocket Money Management

Report published in the Proceedings of the National Conference on "Education in the Information Society", Plovdiv, May, 2013

Gender bias in the Trends in Mathematics and Science Study 2003 (TIMMS) for Canadian students /

This study is a secondary data analysis of the Trends in Mathematics and Science Study 2003 (TIMSS) to determine if there is a gender bias, unbalanced number of items suited to the cognitive skill of one gender, and to compare performance by location. Results of the Grade 8, math portion of the test were examined. Items were coded as verbal, spatial, verbal /spatial or neither and as conventional or unconventional. A Kruskal- Wallis was completed for each category, comparing performance of students from Ontario, Quebec, and Singapore. A Factor Analysis was completed to determine if there were item categories with similar characteristics. Gender differences favouring males were found in the verbal conventional category for Canadian students and in the spatial conventional category for students in Quebec. The greatest differences were by location, as students in Singapore outperformed students from Canada in all areas except for the spatial unconventional category. Finally, whether an item is conventional or unconventional is more important than whether the item is verbal or spatial. Results show the importance of fair assessment for the genders in both the classroom and on standardized tests.

The Fiftieth Anniversary of the Institute of Mathematics and Informatics

In October 1997 we celebrate the fiftieth anniversary of the founding of the Institute for Mathematics and Informatics (IMI) of the Bulgarian Academy of Sciences (BAS).

Digitization of Old Mathematical Periodicals Published by the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

The digitization practice for retro-converting of the mathematical periodicals, published by the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (IMI-BAS) and the followed benefits for long-term preserving and assuring open access to these materials is discussed in the article.

Perceptions of online tutorials for distance learning in mathematics and computing

We report on student and staff perceptions of synchronous online teaching and learning sessions in mathematics and computing. The study is based on two surveys of students and tutors conducted 5 years apart, and focusses on the educational experience as well as societal and accessibility dimensions. Key conclusions are that both staff and students value online sessions, to supplement face-to-face sessions, mainly for their convenience, but interaction within the sessions is limited. Students find the recording of sessions particularly helpful in their studies.

Asessing public policies. The case of education in Europe and the interaction between personal and institutional factors

The paper deals with the comparative study of European citizens' satisfaction with the state of education in their respective countries. Individual and contextual effects are tested applying multilevel analysis. The results show that educational public policies (level of decentralization, degree of comprehensiveness and public spending) as well as the students' social environment (socioeconomic and cultural status) have a sound impact on the opinions about the state of education.

Asessing public policies. The case of education in Europe and the interaction between personal and institutional factors

The paper deals with the comparative study of European citizens satisfaction with thestate of education in their respective countries. Individual and contextual effects aretested applying multilevel analysis. The results show that educational public policies(level of decentralization, degree of comprehensiveness and public spending) as well asthe students social environment (socioeconomic and cultural status) have a soundimpact on the opinions about the state of education.

Entrepreneurship Education in Basic and Upper Secondary Education – Measurement and Empirical Evidence

The starting point of this study is to direct more attention to the teacher and those entrepreneurship education practices taking place in formal school to find out solutions for more effective promotion of entrepreneurship education. For this objective, the strategy-level aims of entrepreneurship education need to be operationalised into measurable and understandable teacher-level practices. Furthermore, to enable the effective development of entrepreneurship education in basic and upper secondary level education, more knowledge is needed of the state of affairs of entrepreneurship education in teaching. The purpose of the study is to increase the level of understanding of teachers’ entrepreneurship education practices, and through this to develop entrepreneurship education. This study builds on the literature on entrepreneurship education and especially those elements referring to the aims, resources, benefits, methods, and practises of entrepreneurship education. The study comprises five articles highlighting teachers’ role in entrepreneurship education. In the first article the concept of entrepreneurship and the teachers role in reflection upon his/hers approaches to entrepreneurship education are considered. The second article provides a detailed analysis of the process of developing a measurement tool to depict the teachers’ activities in entrepreneurship education. The next three articles highlight the teachers’ role in directing the entrepreneurship education in basic and upper secondary level education. Furthermore, they analyse the relationship between the entrepreneurship education practises and the teachers’ background characteristics. The results of the study suggest a wide range of conclusions and implications. First, in spite of many outspoken aims connected to entrepreneurship education, teachers have not set any aims for themselves. Additionally, aims and results seem to mix. However, it is possible to develop teachers’ target orientation by supporting their reflection skills, and through measurement and evaluation increase their understanding of their own practices. Second, applying a participatory action process it is possible to operationalise teachers’entrepreneurship education practices. It is central to include the practitioners’ perspective in the development of measures to make sure that the concepts and aims of entrepreneurship education are understood. Third, teachers’ demographic or tenure-related background characteristics do not affect their entrepreneurship education practices, but their training related to entrepreneurship education, participation in different school-level or regional planning, and their own capabilities support entrepreneurship education. Fourth, a large number of methods are applied to entrepreneurship education, and the most often used methods were different kinds of discussions, which seem to be an easy, low-threshold way for teachers to include entrepreneurship education regularly in their teaching. Field trips to business enterprises or inviting entrepreneurs to present their work in schools are used fairly seldom. Interestingly, visits outside the school are more common than visitors invited to the school. In line, most of the entrepreneurship education practices take place in a classroom. Therefore it seems to be useful to create and encourage teachers towards more in-depth cooperation with companies (e.g. via joint projects) and to network systematically. Finally, there are plenty of resources available for entrepreneurship education, such as ready-made materials, external stakeholders, support organisations, and learning games, but teachers have utilized them only marginally.

Exploring two cases of Piano Teacher Education in Finland and Germany

Research about music instrument teacher education is scattered and fairly recent, especially in the European context. The purpose of this study was to explore two cases of piano teacher education programs at higher music education institutions, one in Finland, and one in Germany, to gain insights into the preparation of piano teachers for their professional working life. The aim was to identify issues for consideration in curriculum development of piano teacher education to enhance the teaching and learning of piano playing, and to ultimately increase musical practice and engagement among young learners. Nine semi-structured interviews with piano teacher educators, heads of program, other lecturers within the program, and student piano teachers in both cases were analyzed using applied thematic analysis. Three main themes with subcategories emerged: (1) the organization of the piano teacher education program, such as the structure, the content, the learning environments provided, and the development mechanisms of the program; (2) the views on the piano teacher profession, the working environment and resulting requirements, including further education during professional life; and (3) the professional skills and teacher identity development of student teachers. While the supposed working environments and requirements of future piano teachers, the student teachers' development characteristics, and the content were found reasonably concurrent in both cases, the structure of the teacher education program, and the organization of learning environments presented notable differences. While the complete teacher qualification in the Finnish case was offered as option in the Bachelor and Master of Music program within the piano department, the German case offered a separate program for music instrument educators. Other main differences concerned the organizations of practical teaching experiences, and the linking of practical with theoretical pedagogy. Conviction and enthusiasm for improving piano and other music instrument teacher education seemed remarkable. These improvements could include the development of a comprehensive teacher education pedagogy for music instrument teacher educators, intensified cross-linking within and of higher music education institutions in local contexts, and the expansion of professional development opportunities.

An Examination of the Development of Online Higher Education in Canada and China: Keeping Pace and Making Space

This study examined the similarities and differences that currently exist between Chinese and Canadian online higher education, and explored the economic, political, and sociocultural environments that have shaped online education in these two jurisdictions. Furthermore, this paper discussed the efficacy of, and potential for, future development of online learning in higher education in both Canada and China. The research employed a collective case study design to gather information and data on the development of online higher education. The analysis on Contact North in Canada and the One-Man University in China provide a comparative perspective on the development of 2 typical online higher educational institutions in these two countries. The study revealed that the development of online higher education is influenced by the economic, political, and sociocultural factors of environment. Contact North and the One-Man University share similarities in many aspects, but are characteristically different. The Contact North can set an example for establishing and operating a self-regulated MOOCs platform. The study also generated implications for both organizations.

Evidence versus ideology in education policy : the recent history of initial teacher education in England and Wales and the implications for educational researchers as agents of change.

Resumen del autor. Este art??culo pertenece al monogr??fico 'John Elliott: su pensamiento y su influencia'

Mathematics, computers in Mathematics, and gender : public perceptions in context. 'Matemáticas, ordenadores en Matemáticas y género : percepciones públicas en contexto'.

Resumen basado en el de la publicación