Characterization about tutor??s actuation in the teachers training of mathematics

Resumen basado en el de la publicaci??n

Teachers' professional learning within communities of mathematics-for-teaching practice

Ontario bansho is an emergent mathematics instructional strategy used by teachers working within communities of practice that has been deemed to have a transformational effect on teachers' professional learning of mathematics. This study sought to answer the following question: How does teachers' implementation of Ontario bansho within their communities of practice inform their professional learning process concerning mathematics-for-teaching? Two other key questions also guided the study: What processes support teachers' professional learning of content-for-teaching? What conditions support teachers' professional learning of content-for-teaching? The study followed an interpretive phenomenological approach to collect data using a purposive sampling of teachers as participants. The researcher conducted interviews and followed an interpretive approach to data analysis to investigate how teachers construct meaning and create interpretations through their social interactions. The study developed a model of professional learning made up of 3 processes, informing with resources, engaging with students, and visualizing and schematizing in which the participants engaged and 2 conditions, ownership and community that supported the 3 processes. The 3 processes occur in ways that are complex, recursive, nonpredictable, and contextual. This model provides a framework for facilitators and leaders to plan for effective, content-relevant professional learning by placing teachers, students, and their learning at the heart of professional learning.

Teacher professional growth : a study of primary teachers involved in mathematics professional development

The overall purpose of this study was to examine whether professional development programs can act as appropriate vehicles for the professional growth of teachers of primary mathematics. A longitudinal study was conducted of primary teachers involved in a Victorian mathematics professional development program — Exploring Mathematics In Classrooms (EMIC). The professional growth of six teacher participants in one EMIC course was examined over a period of 18 months. The teachers selected were from four different schools located in the southern metropolitan region of Melbourne. The central interest of this study was in teacher professional growth and accordingly the perspective sought was predominantly that of the teacher. A case study research approach was adopted and data were gathered through observations, interviews, questionnaire, and the collection of teacher work documents. A theoretical model of teacher professional growth was used to represent the teachers' growth. The study generated data on the nature of teacher professional growth and the features of professional development programs likely to influence teacher professional growth. All of the teachers reported and demonstrated growth with respect to their mathematics teaching, in areas associated with their: Classroom Practice, Knowledge and Beliefs, and Professional Attributes. The teachers' growth was highly individualistic, with no two teachers demonstrating exactly the same professional growth outcomes, or the same growth processes. The data provided evidence to confirm that teacher growth is a complex and gradual learning process. For each of the teachers several different routes to change and growth were evident, drawing attention to the non-linear nature of growth. The teachers' responses to the professional development program were influenced by various contextual and personal factors. The data provided evidence of a strong link between the content and outcomes of professional development programs — the outcomes reported and demonstrated by the teachers reflected the content of the EMIC program. Key factors associated with mathematics professional development programs perceived as influencing growth were: program content; program structure; and program presentation. A significant finding was the strong influence on teacher growth of the presenters of professional development programs—some data suggested that the 'quality' of the program presenter is fundamental to the success of any professional development program. The study provided insight into the processes involved in teacher professional growth and factors associated with the way in which professional development programs influence growth. The theoretical model of teacher professional growth used in this study has been elaborated and recommendations which might inform the design and implementation of future professional development programs have been made.

Fiji pre-service primary teachers' understanding of physical science : a cultural perspective

Science and technology are promoted as major contributors to national development. Consequently, improved science education has been placed high on the agenda of tasks to be tackled in many developing countries, although progress has often been limited. In fact there have been claims that the enormous investment in teaching science in developing countries has basically failed, with many reports of how efforts to teach science in developing countries often result in rote learning of strange concepts, mere copying of factual information, and a general lack of understanding on the part of local students. These generalisations can be applied to science education in Fiji. Muralidhar (1989) has described a situation in which upper primary and middle school students in Fiji were given little opportunity to engage in practical work; an extremely didactic form of teacher exposition was the predominant method of instruction during science lessons. He concluded that amongst other things, teachers' limited understanding, particularly of aspects of physical science, resulted in their rigid adherence to the text book or the omission of certain activities or topics. Although many of the problems associated with science education in developing countries have been documented, few attempts have been made to understand how non-Western students might better learn science. This study addresses the issue of Fiji pre-service primary teachers' understanding of a key aspect of physical science, namely, matter and how it changes, and their responses to learning experiences based on a constructivist epistemology. Initial interviews were used to probe pre-service primary teachers' understanding of this domain of science. The data were analysed to identify students' alternative and scientific conceptions. These conceptions were then used to construct Concept Profile Inventories (CPI) which allowed for qualitative comparison of the concepts of the two ethnic groups who took part in the study. This phase of the study also provided some insight into the interaction of scientific information and traditional beliefs in non-Western societies. A quantitative comparison of the groups' conceptions was conducted using a Science Concept Survey instrument developed from the CPis. These data provided considerable insight into the aspects of matter where the pre-service teachers' understanding was particularly weak. On the basis of these preliminary findings, a six-week teaching program aimed at improving the students' understanding of matter was implemented in an experimental design with a group of students. The intervention involved elements of pedagogy such as the use of analogies and concept maps which were novel to most of those who took part. At the conclusion of the teaching programme, the learning outcomes of the experimental group were compared with those of a control group taught in a more traditional manner. These outcomes were assessed quantitatively by means of pre- and post-tests and a delayed post-test, and qualitatively using an interview protocol. The students' views on the various teaching strategies used with the experimental group were also sought. The findings indicate that in the domain of matter little variation exists in the alternative conceptions held by Fijian and Indian students suggesting that cultural influences may be minimal in their construction. Furthermore, the teaching strategies implemented with the experimental group of students, although largely derived from Western research, showed considerable promise in the context of Fiji, where they appeared to be effective in improving the understanding of students from different cultural backgrounds. These outcomes may be of significance to those involved in teacher education and curriculum development in other developing countries.

La Relevancia de las creencias sobre diversidad cultural en la formación del docente = The significance of beliefs on cultural diversity in the training of teachers

Uno de los rasgos más característicos de los centros educativos en estos momentos lo constituye la presencia de un alumnado culturalmente diverso. Gestionar de forma adecuada tal diversidad cultural y asegurar una educación de calidad para todos/as que posibilite la construcción de una ciudadanía plural, intercultural y democrática se plantea como uno de los retos más importantes a los que se enfrenta el sistema educativo en general y el profesorado en particular

Novice teachers' perceptions of the extent to which the Brock University teacher education program focused on methods of promoting responsibility in students

The purpose of this study was to determine novice t~ache~s' perceptions of th~ extent to which the Brock University teacher education program focused on strategies for promoting responsibility in students. Individual interviews were conducted with ten randomly selected teachers who were graduates of this teacher education program between the years of 1989 and 1992, and a follow-up group discussion activity, with the same teachers, was also held. Findings revealed that the topic of personal responsibility was discussed within various components of the program, including counselling group sessions, but that these discussions were often brief, indirect and inconsistent. Some of the strategies which the teachers used in their own classrooms to promote responsibility in students were ones which they had acquired from those counselling group °sessions or from associate teachers. Various strategies included: setting ~lear expectations of students with positive and negative consequences for behaviour (e.g., material rewards and detentions, respectively), cemmunic?ting'with other teachers an~ parents, and -. suspending students from school. A teacher's choice of any particular strategy seemed to be affected by his or her personality, teaching sUbject and region of employment, as well as certain aspects of the teacher education program. It was concluded that many of the teachers appeared to be controlling rude and vio~ent- behaviour, as opposed to promoting responsible behaviour. Recommendations were made for the pre-service program, as well as induction and inservice programs, to increase teacher preparedness for promoting responsible student behaviour. One of these recommendations addressed the need to help teachers learn how to effectively communicate with their students.

O ensino de matemática: uma proposta para a aprendizagem dos números

The objective of this study is an analysis of the actions of teacherand students when inserted in the teaching-learning in mathematics classes in a class of third year of elementary school. A didactic proposal construction, was developed taking into account the history of the number as a human, considering its evolution through its conceptual nexus, so that the teaching-learning process would enable the construction of theoretical thought. This paper presents a brief study of teacher education, specifically early carrer, basing themselves in difficulties and knowledge of teaching practice and curriculum framework that guided the didactic proposal. Thus, not only students but also teachers are undergoing training. From the study for the preparation of didactic proposal, the proposal development process in teaching and learning skills and analysis of actions, it was possible to follow the movement of formation of a teacher-researcher in early carrer

Basic components in the scienctific didactical training of the secondary school mathematics teachers

Secondary mathematics teacher training in Spain is currently the subject of a heated revision debate. The speed of social, cultural, scientific and economic changes have left a hundred years old teacher training model well behind. However, academical inertia and professional interests are impeding a real new training of the mathematics teacher as an autonomous mathematical educator. Teachers of Didactic of Mathematics and the Spanish Associations of mathematics teachers have recently been discussing the issue. Their conclusions are included here.