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.

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.

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.

Concepciones sobre las tecnologías de la información y la comunicación (TIC) y sus implicaciones educativas: un estudio exploratorio con profesorado de la provincia de Ñuble, Chile

El propósito de este estudio fue conocer las concepciones de profesores de educación primaria sobre las tecnologías educativas en dos dimensiones: a) conocimiento de las tecnologías de la información y comunicación; y b) creencias sobre el uso educativo que el profesorado da a estas herramientas. Se opta por un enfoque metodológico cuantitativo y un diseño no-experimental descriptivo del tipo encuesta. El análisis de los datos se realizó mediante paquete estadístico SPSS 14.0 y las técnicas utilizadas fueron descriptivos, frecuencias y porcentajes, técnicas de reducción de datos (análisis factorial) e inferencia estadística (comparación de medias y porcentajes). Los resultados demuestran que la mayoría de los profesores reconocen el interés que las tecnologías despiertan en el alumnado y las oportunidades de aprendizaje que ofrecen principalmente en relación con los diferentes ritmos de aprendizaje y las necesidades educativas especiales. Se identifica la búsqueda de información como una competencia fundamental, así como se evidencia que existe una relación causal entre el nivel de formación, la importancia que el profesor otorga al recurso y el uso educativo. Los resultados hacen aconsejable promover programas de formación continua en esta área y fortalecer la formación inicial docente.

Mathematics Game e-Library for Elementary School, study case: Mexico

One of the most relevant subjects for the intellectual formation of elementary school students is Mathematics where its importance goes back to ancient civilizations and which its importance is underestimated nowadays. This phenomenon occurs in Mexico, where 63.1% of the total population of elementary school students between the third and sixth grade have insufficient/elemental level of mathematics knowledge. This has resulted in the need to use a new mechanism to complement student’s classroom learning. With the rapid growth of wireless and mobile technologies, the mobile learning has been gradually considered as a novel and effective form of learning due to it inherits all the advantages of e-learning as well as breaks the limitations of learning time and space occurring in the traditional classroom teaching. This project proposes the use of a Mathematics Game e-Library integrated by a set of games for mobile devices and a distribution/management tool. The games are developed for running on mobile devices and for cover the six competencies related with the mathematics learning approach established in Mexico. The distribution/management tool allows students to reach contents according to their needs; this is achieved through a core engine that infers, from an initial profile, the games that cover the user’s knowledge gaps.

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.

Coordination of aproximations in secondary school students’ understanding of limit concept

The aim of this research is to characterize the coordination of the processes of approximation related to the understanding of the limit of a function. We analyze the answers of 64 post-secondary school students to 7 problems considering the dynamic and metric conception of limit of a function. Results indicate that the metric understanding of the limit in terms of inequality supports that the student is capable of coordinating the approximations in the domain and in the range when lateral approximations coincide. However, the student is not capable of this coordination when lateral approximations do not coincide. This indicates that the metric understanding of the limit begins with the previous construction of the dynamic conception in case of coincidence of the lateral approximations in the range.

La identidad como producto del aprendizaje en la práctica de enseñar matemáticas en profesores de primaria

Esta investigación estudia la identidad como producto del aprendizaje en la práctica situada de enseñar matemáticas de cuatro profesores de primaria en México. Las características de la identidad de “ser profesor de matemáticas” se infieren desde la trayectoria de formación y la práctica de los profesores. Los resultados indican que los profesores construyen y reconstruyen su identidad a partir de su práctica cotidiana lo que supone la negociación de maneras de realizar una práctica en un contexto a partir de tres aspectos: (i) El significado y sentido que los profesores atribuyen a las experiencias que acumulan en su trayectoria de formación, (ii) a la acción mediada con las tareas y los instrumentos que utilizan, y (iii) a la interacción entre el significado y sentido y la acción mediada al gestionar la clase de matemáticas.