Teaching and learning mathematics : a guide to research and its applications. 'Enseñando y aprendiendo matemáticas : una guía para el estudio y sus aplicaciones'.

El objetivo de esta obra es ofrecer una revisión de algunas de las investigaciones sobre la enseñanza de las matemáticas. En esta edición, se sintetizan las conclusiones de las investigaciones más recientes en diferentes partes del mundo. Abarca cuestiones tan diversas como el número y el cálculo; la forma y el espacio; probabilidad y estadística; investigación en el aula. Se han añadido dos nuevos capítulos, uno sobre el uso de la tecnología en la enseñanza de las matemáticas y otro en la solución de problemas. Cada capítulo ofrece una visión general de las investigaciones más recientes y un análisis detallado de los hallazgos más importantes. La investigación está relacionada con cuestiones del progreso de los alumnos, la diferenciación de la enseñanza y el rol de género. Tiene una extensa bibliografía.

Learning mathematics : issues, theory and classroom practice.

Recurso para profesores de matemáticas de primaria y secundaria. El texto considera las cuestiones relativas a cómo los estudiantes aprenden matemáticas. Cada uno de los once capítulos trata un tema particular que ilustra la interacción entre la teoría y la práctica. Esta edición cuenta con dos nuevos capítulos: uno relacionado con la cognición y la transferencia del aprendizaje, y otro que examina la importancia del modelo de aprendizaje en las matemáticas.

Assessment for learning : digital tools for effective practice.

Proporciona consejos para utilizar cámaras digitales, grabadoras, etc., para captar y registrar el aprendizaje de adultos, y cómo se pueden utilizar los blogs y vídeos para que los alumnos reflexionen sobre su aprendizaje. Hay un capítulo sobre cómo hacer el e-portfolio para los alumnos. Hay glosario, lista de lecturas adicionales y de sitios web útiles como ayuda adicional.

Assessment for learning : science teachers' ideas on assessment of core competences in science understanding. 'Evaluar para el aprendizaje : ideas de los profesores de ciencias sobre cómo evaluar competencias fundamentales para comprender la ciencia'.

Resumen basado en el de la publicación

Assessment and learning : is it time to rethink student activities and academic roles?

Resumen basado en el de la publicación

Inclusive approaches to teaching and learning mathematics

This chapter explores the role of mentors in supporting pre-service teachers to include all children in mathematics teaching, no matter what their individual needs.

Assessment for Learning in teaching English to Young Learners: teachers’ understanding, classroom practice and impact on interactions

It has been suggested that Assessment for Learning (AfL) plays a significant role in enhancing teaching and learning in mainstream educational contexts. However, little empirical evidence can support these claims. As AfL has been shown to be enacted predominantly through interactions in primary classes, there is a need to understand if it is appropriate, whether it can be efficiently used in teaching English to Young Learners (TEYL) and how it can facilitate learning in such a context. This emerging research focus gains currency especially in the light of SLA research, which suggests the important role of interactions in foreign language learning. This mixed-method, descriptive and exploratory study aims to investigate how teachers of learners aged 7-11 understand AfL; how they implement it; and the impact that such implementation could have on interactions which occur during lessons. The data were collected through lesson observations, scrutiny of school documents, semi-structured interviews and a focus group interview with teachers. The findings indicate that fitness for purpose guides the implementation of AfL in TEYL classrooms. Significantly, the study has revealed differences in the implementation of AfL between classes of 7-9 and 10-11 year olds within each of the three purposes (setting objectives and expectations; monitoring performance; and checking achievement) identified through the data. Another important finding of this study is the empirical evidence suggesting that the use of AfL could facilitate creating conditions conducive to learning in TEYL classes during collaborative and expert/novice interactions. The findings suggest that teachers’ understanding of AfL is largely aligned with the theoretical frameworks (Black & Wiliam, 2009; Swaffield, 2011) already available. However, they also demonstrate that there are TEYL specific characteristics. This research has important pedagogical implications and indicates a number of areas for further research.

The Effects Improving Student Discourse Has on Learning Mathematics

In this action research study of my 8th grade mathematics classroom, I investigated how improving student discourse affects learning mathematics. I conducted this study because I wanted to give students more opportunities to develop and share their ideas with their peers as well as with me. My idea was to create a learning environment that encouraged students to voice their opinions. In order to do so, I needed to reassure and model with my students that they were in a classroom where it was safe to take risks, and they should feel comfortable sharing their ideas. By facilitating activities for students to complete in groups, asking students to prepare work to share with the class, and offering more opportunities for students to work with each other on discovering and exploring math skills being presented, I set the tone for abundant student discourse to take place in the mathematics classroom. I discovered that students became more comfortable with math skills the more opportunities they had to discuss the ideas in various settings. I also found that as the study went on, students discovered the importance of being able to share their mathematical ideas and valued the ability to verbalize their thoughts with others. As a result of this study, I plan to continue offering many opportunities for students to work in groups as well as to share their ideas with the class.

A Simple Computer Game for Learning Mathematics

It is sometimes unquantifiable how hard it is for most people to deal with game addiction. Several articles have equally been published to address this subject, some suggesting the concept of Educational and serious games. Similarly, researchers have revealed that it does not come easy learning a subject like math. This is where the illusive world of computer games comes in. It is amazing how much people learn from games. In this paper, we have designed and programmed a simple PC math game that teaches rudimentary topics in mathematics.