Development of prospective mathematics teachers’ professional noticing in a specific domain: proportional reasoning

The aim of this research is to identify aspects that support the development of prospective mathematics teachers’ professional noticing in a b-learning context. The study presented here investigates the extent to which prospective secondary mathematics teachers attend and interpret secondary school students’ proportional reasoning and decide how to respond. Results show that interactions in an on-line discussion improve prospective mathematics teachers’ ability to identify and interpret important aspects of secondary school students’ mathematical thinking.

Trainee teachers' habits of healthy physical activity

Introduction: This study analyses the habits of physical activity of a group of students at the University of Vigo (Spain). Methods: It uses the SRHI (Self-Report Habits Index) scale, which was used for the first time in Spain. It starts from the premise that future educators should have good physical activity habits if they want to convey this attitude to their students due to its importance for health and quality of life. Results: Physical activity habits are well-established in future Secondary Education Physical Education teachers but not in future Infant and Primary Education teachers. In addition, there are greater physical activity habits in men, in students who previously participated in sport at school and at younger ages. The most common difficulties for creating physical activity habits are lack of time, sport facilities and companionship for carrying out the activity. Discussion: In this section our results, which broadly coincide with the results of other studies regarding the same subject, are contrasted with the results of those other studies.

Primary school teacher’s noticing of students’ mathematical thinking in problem solving

Professional noticing of students’ mathematical thinking in problem solving involves the identification of noteworthy mathematical ideas of students’ mathematical thinking and its interpretation to make decisions in the teaching of mathematics. The goal of this study is to begin to characterize pre-service primary school teachers’ noticing of students’ mathematical thinking when students solve tasks that involve proportional and non-proportional reasoning. From the analysis of how pre-service primary school teachers notice students’ mathematical thinking, we have identified an initial framework with four levels of development. This framework indicates a possible trajectory in the development of primary teachers’ professional noticing.

Developing pre-service teachers’ noticing of students’ understanding of the derivative concept

This research study examines the development of the ability of pre-service teachers to notice signs of students’ understanding of the derivative concept. It analyses preservice teachers’ interpretations of written solutions to problems involving the derivative concept before and after participating in a teacher training module. The results indicate that the development of this skill is linked to pre-service teachers’ progressive understanding of the mathematical elements that students use to solve problems. We have used these results to make some suggestions for teacher training programmes.

Inclusive education in Spain: how do skills, resources, and supports affect regular education teachers’ perceptions of inclusion?

This study examined regular education teachers’ perceptions of inclusion in elementary and secondary schools in Spain and how these perceptions may differ depending on teaching experience, skills, and the availability of resources and supports. Stratified random sampling procedures were used to draw a representative sample of 336 general education teachers (68 kindergarten, 133 elementary, and 135 secondary teachers) from the province of Alicante. The results indicated the acceptance of the principles of inclusion, although teacher skills, time, material resources, and personal supports for inclusion were deemed insufficient. Kindergarten and elementary teachers showed more positive perceptions of inclusion than secondary education teachers, and so did teachers with more personal supports and material resources than those with less supports and resources. The results are discussed in terms of its implications for practice in order to promote more inclusive classrooms in Spain.

Teachers’ Use of Inclusive Practices in Spain

The aim of this study was to examine the extent to which teachers use inclusive practices to respond to students’ special needs in their classrooms and to determine whether grade level taught, training, and availability of resources and support affect the implementation of these practices. A research survey was designed for this purpose with the participation of a representative sample of 336 general education teachers (68 kindergarten, 133 elementary, and 135 secondary education teachers) in the province of Alicante, Spain. Findings reflected a moderate use of inclusive practices, with teachers more frequently implementing general adaptations rather than substantial ones. Statistically significant differences in use of inclusive practices were found as a function of the grade level taught, training received, and availability of material resources. Results are discussed in terms of their implication for teacher education reform and training programs.

Teachers’ beliefs about diversity: an analysis from a personal and professional perspective

The purpose of this study was to examine the beliefs that teachers have about diversity and their level of sensitivity towards some topics related to it. Moreover, beliefs were compared according to teachers’ personal and professional views and teaching experience. The Personal and Professional Beliefs about Diversity Scales (Pohan and Aguilar, 1999) were administered to a sample of 233 teachers. Results showed highly positive beliefs towards diversity in all its dimensions (cultural, linguistic and social diversity, ability, gender, sexual orientation and religion), especially regarding its personal implications compared to the professional ones. Likewise, it was observed a significant relationship between years of teaching experience and professional beliefs about diversity, so teachers with no school experience showed a higher tolerance than those with teaching experience, mainly in aspects related to cultural, linguistic and social differences, ability and gender. The implications that these results have for educational practice and the need for the development of multicultural education courses that favour an effective teaching are discussed.

Changes in how prospective teachers anticipate secondary students’ answers

This study focuses on how prospective teachers learn about students’ mathematical thinking when (i) anticipating secondary students’ answers reflecting different characteristics of understanding and (ii) propose new activities in relation to the classification of quadrilaterals. The data were collected from forty-eight prospective secondary school teachers enrolled in an initial training programme. The results indicate three changes in how the prospective teachers anticipate secondary students’ answers in relation to the role given to a perceptual or relational perspective of the classification of quadrilaterals. These changes are described considering how prospective teachers grasp the students’ understanding of the inclusive relation among quadrilaterals as a conceptual advance. We argue that prospective teachers’ learning was promoted after participating in a structured environment where they had the opportunity to discuss how to recognize the features of student’s understanding.