Models of initial training of secondary school teachers in Spain from a European perspective

This paper seeks to analyse some key issues related to initial training models for secondary education teachers from an international perspective with more specific references to the Spanish model. First, we briefly mention secondary education and its training needs: purpose, organization, structure, character, duration, etc.. Secondly, the most typical models of initial training of these teachers: consecutive and simultaneous, academic and professional, are adressed. Thirdly, we analyse the structure of initial training containing more general scientific and professional knowledge, (its theoretical and practical components). Lastly, the relationship between initial training and access to the teaching profession will be established, as well as the possibility of academic and / or professional qualifications is analyzed. We then highlight the issue of "professional identity", which is closely linked to the initial training of future teachers and final conclusions are discussed.

Using blogs to enhance the capacity of mathematical communication in High School

The aim of this investigation is to analyze the use of the blog as an educational resource for the development of the mathematical communication in secondary education. With this aim, four aspects are analyzed: organization of mathematical thinking through communication; communication of mathematical thinking; analysis and evaluation of the strategies and mathematical thought of others; and expression of mathematical ideas using mathematical language. The research was conducted from a qualitative approach on an exploratory level, with the case study method of 4 classrooms of second grade of secondary education in a private school in Lima. The observational technique of 20 publications in the blog of the math class was applied; a study of a focal group with a sample of 9 students with different levels of academic performance; and an interview with the academic coordinator of the school was conducted. The results show that the organization of mathematical thinking through communication is carried out in the blog in a written, graphical and oral way through explanations, schemes and videos. Regarding communication of mathematical thinking, the blog is used to describe concepts, arguments and mathematical procedures with words and examples of the students. The analysis and evaluation of the strategies and mathematical thinking is performed through comments and debates about the publications. It was also noted that the blog does not facilitate the use of mathematical language to express mathematical ideas, since it does not allow direct writing of symbols nor graphic representation.