Adaptation of a questionnaire to assess the epistemological beliefs of mathematics in secondary school teachers

The objective of the study is to determine the psychometric properties of the Epistemological Beliefs Questionnaire on Mathematics. 171 Secondary School Mathematics Teachers of the Central Region of Cuba participated. The results show acceptable internal consistency. The factorial structure of the scale revealed three major factors, consistent with the Model of the Three Constructs: beliefs about knowledge, about learning and teaching. Irregular levels in the development of the epistemological belief system about mathematics of these teachers were shown, with a tendency among naivety and sophistication poles. In conclusion, the questionnaire is useful for evaluating teacher’s beliefs about mathematics.

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.

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.

Reflexive learning in pre-service training of primary school teachers: from experience to assimilation of contents

This article presents an educational experiment carried out in the Primary School Teaching Degree at the University of Barcelona. Specifically, the article analyses the application of the “Work Corners” approach in a core subject. In a three-year action research process, trainers put into practice an innovation which enabled them to boost cooperative work and reflexive learning among trainees. Firstly, the theoretical model underpinning the project and guiding many of the actions carried out by the training team is presented. After providing detailed information on the practical development of the experiment, the data-gathering process and its results are shown. Various information-gathering strategies were used in assessing the project, such as a questionnaire, participant observation, and teachers’ diaries. The results demonstrate, amongst other things, that “work corners” offer viable and appropriate educational conditions for the articulation of theoretical and practical knowledge, for building professional knowledge, and therefore, the beginnings of a reflexive teaching practice.

Analysis of the reading and comprehension control in scientific texts in high school students

Students' learning process can be negatively affected when their reading and comprehension control is not appropriated. This research focuses on the analysis of how a group of students from high school evaluate their reading comprehension in manipulated scientific texts. An analysis tool was designed to determine the students' degree of comprehension control when reading a scientific short text with an added contradiction. The results have revealed that the students from 1st and 3rd ESO do not properly self-evaluated their reading comprehension. A different behavior has been observed in 1st Bachillerato, where appropriate evaluation and regulation seem to be more frequent. Moreover, no significant differences have been found regarding the type of text, year or gender. Finally, as identified by previous research, the correlations between the students' comprehension control and their school marks have shown to have a weak relationship and inversely proportional to the students' age.

Concept maps as a tool to analyze the ideas of teacher training students regarding what to teach on human nutrition in Primary Education

Concept maps are a technique used to obtain a visual representation of a person's ideas about a concept or a set of related concepts. Specifically, in this paper, through a qualitative methodology, we analyze the concept maps proposed by 52 groups of teacher training students in order to find out the characteristics of the maps and the degree of adequacy of the contents with regard to the teaching of human nutrition in the 3rd cycle of primary education. The participants were enrolled in the Teacher Training Degree majoring in Primary Education, and the data collection was carried out through a training activity under the theme of what to teach about Science in Primary School? The results show that the maps are a useful tool for working in teacher education as they allow organizing, synthesizing, and communicating what students know. Moreover, through this work, it has been possible to see that future teachers have acceptable skills for representing the concepts/ideas in a concept map, although the level of adequacy of concepts/ideas about human nutrition and its relations is usually medium or low. These results are a wake-up call for teacher training, both initial and ongoing, because they shows the inability to change priorities as far as the selection of content is concerned.

Motivation and Vocabulary Breadth in CLIL and EFL Contexts. Different age, Same Time of Exposure

Numerous studies have found a positive connection between learners’ motivation towards foreign language and foreign language achievement. The present study examines the role of motivation in receptive vocabulary breadth (size) of two groups of Spanish learners of different ages, but all with 734 hours of instruction in English as a Foreign Language (EFL): a CLIL (Content and Language Integrated Learning) group in primary education and a non-CLIL (or EFL) group in secondary education. Most students in both groups were found to be highly motivated. The primary CLIL group slightly overcame the secondary non-CLIL group with respect to the mean general motivation but this is a non-significant difference. The secondary group surpass significantly the primary group in receptive vocabulary size. No relationship between the receptive vocabulary knowledge and general motivation is found in the primary CLIL group. On the other hand, a positive significant connection, although a very small one, is identified for the secondary non-CLIL group. We will discuss on the type of test, the age of students and the type of instruction as variables that could be influencing the results.

Creating replicas of scultural heritage through 3D reconstruction and low cost 3D printer in Education

The process of making replicas of heritage has traditionally been developed by public agencies, corporations and museums and is not commonly used in schools. Currently there are technologies that allow creating cheap replicas. The new 3D reconstruction software, based on photographs and low cost 3D printers allow to make replicas at a cost much lower than traditional. This article describes the process of creating replicas of the sculpture Goslar Warrior of artist Henry Moore, located in Santa Cruz de Tenerife. To make this process, first, a digital model have been created using Autodesk Recap 360, Autodesk 123D Catch and Autodesk Meshmixer MarkerBot MakerWare applications. Physical replication, has been reproduced in polylactic acid (PLA) by MakerBot Replicator 2 3D printer. In addition, a cost analysis using, in one hand, the printer mentioned, and in the other hand, 3D printing services both online and local, is included. Finally, there has been a specific action with 141 students and 12 high school teachers, who filled a questionnary about the use of sculptural replicas in education.

Efectos de la enseñanza interdisciplinaria en la educación ambiental sobre los conocimientos, valores y actitudes ambientales de estudiantes de segundo ciclo básico (Los Ángeles, Región del Biobío, Chile)

Debido a la necesidad de implementar metodologías efectivas para la formación de ciudadanos con conciencia ambiental, se planteó esta investigación con el objetivo de evaluar el efecto de la enseñanza interdisciplinaria en la Educación Ambiental, sobre los conocimientos, valores y actitudes ambientales, de estudiantes de sexto curso básico de un establecimiento municipal de la ciudad de Los Ángeles, en Chile. Se relaciona la Educación Ambiental con las asignaturas Lenguaje-Comunicación y Matemática. Los instrumentos de medición, validados por un comité de expertos y sometidos a un análisis de fiabilidad. Se aplicaron antes y después de la intervención, permitiendo así medir el grado de cambio en conocimientos, valores y actitudes ambientales en los distintos tratamientos, los cuales fueron analizados estadísticamente por medio de tests no paramétricos. Los resultados indican que un grado mayor de interdisciplinariedad genera mejores conocimientos, valores y actitudes ambientales, por lo que se recomienda implementar estrategias interdisciplinarias en el aula al momento de realizar Educación Ambiental.

Citizenship training in school from the perspective of future primary education teachers

The aim of this paper is to recognize the images that prospective elementary school teachers have about citizenship and citizenship education in school. The qualitative methodology with an ethnographic approach is used for that deep interview of ethnographic kind and analysis of institutional documents, for example, curricula, course syllabus and graduated profi le. The revision of documents helps to a better understanding of discourses. The analysis of the corpus obtained after the application of the paradigm of codifi cation proposed in the established theory. As the principal fi ndings we way point out that the concept of citizens that is common among prospective elementary school teachers is reduced to the school environment because they consider that the promotion of citizenship helps to the incorporation of children to society, thus reproducing a propaedeutic view of education.