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.

Science-based entrepreneur project development process for pre-service science teachers: difficulties faced*

This study used a phenomenological research design to determine the difficulties faced in the science-based entrepreneur project development process for pre-service science teachers.. Qualitative data were obtained through interviews conducted with ten pre-service science teachers. The data were analysed using an inductive thematic analysis. The results indicated that pre-service science teachers have most difficulty ‘making decisions on one of the innovative ideas’ and ‘making predictions about unexpected situations’. They also have difficulties ‘calculating the cost as a result of design or work analysis’, ‘identifying if the idea already existed (similarity analysis)’ and ‘making decisions on the required materials, tools, services’. These results show the need for pre-service science teachers to communicate with other institutions and organisations.

El desarrollo de un esquema para caracterizar la competencia docente “mirar con sentido” el pensamiento matemático de los estudiantes

La competencia docente del maestro ―mirar con sentido el pensamiento matemático de los estudiantes implica identificar los hechos relevantes e interpretarlos para dotarlos de significado y poder tomar decisiones de acción. Este estudio se centra en caracterizar la competencia ―mirar con sentido el pensamiento matemático de los estudiantes en el dominio específico del razonamiento proporcional. Los análisis realizados han permitido identificar y caracterizar cuatro niveles de desarrollo considerando la manera en la que los estudiantes para maestro identifican e interpretaban aspectos del razonamiento proporcional a partir de las respuestas de estudiantes a problemas proporcionales y no proporcionales.

El contexto escolar como escenario de educación superior en la formación de docentes. El prácticum en Quebec como modelo para reflexionar ante las nuevas titulaciones de grado

El diseño de los planes de estudio para las nuevas titulaciones de grado de Magisterio constituye, por su carácter profesionalizador basado en competencias y la ampliación de los estudios a cuatro cursos, una oportunidad para las facultades de educación de mejora de la calidad de la formación inicial de maestros. Gran parte del incremento de los créditos se destina a la ampliación de los periodos de prácticas en los centros escolares colaboradores. Se trata de un escenario de cambio profundo que deberá replantear la organización y revisar los modelos. La experiencia en Quebec nos proporciona elementos de análisis y de reflexión con la finalidad de llegar a orientaciones y a conclusiones transferibles a la organización de estos planes de estudio y para integrar el prácticum en una visión global e interdisciplinaria de la titulación.

Formas del discurso y razonamiento configural de estudiantes para maestros en la resolución de problemas de geometría

Este trabajo tiene como objetivo estudiar la relación entre las formas del discurso generado por los estudiantes para maestro al resolver problemas de geometría de probar y el razonamiento configural. Analizamos las respuestas de 97 estudiantes para maestro a dos problemas de probar para determinar cómo identificaban y relacionaban propiedades geométricas para deducir nuevos hechos y propiedades de las figuras. Los resultados muestran tres formas del discurso generado por los estudiantes para maestro para comunicar su resolución: gráfico, texto y una mezcla de los dos; y que las formas del discurso generado no influyen en el truncamiento del razonamiento configural que desencadena los procesos deductivos.

Explorando el flujo que experimentan los estudiantes para maestro de primaria al enfrentarse a tareas en grupo

Cuando un estudiante experimenta flujo, esto es, está plenamente concentrado en la resolución de una tarea y disfruta con ello, aumenta el rendimiento alcanzado y el deseo por continuar realizando tareas similares. Investigaciones realizadas con estudiantes con talento afirman que para experimentar flujo es necesario proponer desafíos acordes a las habilidades del estudiante, establecer metas claras y proporcionar retroalimentación inmediata. Esta investigación pretende contrastar si esta afirmación es válida en el caso de estudiantes de maestro de primaria con habilidades medias, al trabajar en grupo para resolver tareas matemáticas. Para ello, se comparó el comportamiento de dos grupos de estudiantes al resolver dos tareas matemáticas. Los resultados confirman la importancia de establecer metas claras, proporcionar retroalimentación inmediata, de que el estudiante confíe en su capacidad para superar las dificultades y se sienta útil.

Learning about Self Far From Home: A Pre-service Teacher’s Intercultural Development During an International Program

Preparing teachers to effectively teach culturally diverse students, teacher educators advocate for the use of cross-cultural field experiences, including international study abroad programs. This paper reports on a qualitative case study of two pre-service teachers’ intercultural development during a semester-long teacher education study abroad program in London, England. Findings indicate that international experiences provide a catalyst to move pre-service teachers forward in their intercultural development. Implications include the need for multicultural teacher educators to take a developmental approach to pre-service teacher education informed by theories of intercultural development and cultural learning developed within intercultural communications.

Motivation and Learning in Mathematics Pre-service Teachers

Based on a review of literature of conceptual and procedural knowledge in relation to intrinsic and extrinsic motivation, the purpose of this study was to test the relationship between conceptual and procedural knowledge and intrinsic and extrinsic motivation. Thirty-eight education students with a mathematics focus (elementary or secondary) in their junior, senior, or fifth year completed a survey with a Likert scale measuring their preference to learning (conceptual or procedural) and their motivation type (intrinsic or extrinsic). Findings showed that secondary mathematics focused students were more likely to prefer learning mathematics conceptually than elementary mathematics focused students. However, secondary and elementary mathematics focused students showed an equal preference for learning mathematics procedurally and sequentially. Elementary and secondary students reported similar intrinsic and extrinsic motivation. Extrinsically motivated students preferred procedural learning more than conceptual learning. While there was no statistically significant preference with intrinsically motivated students, there was a trend favoring preference of conceptual learning over procedural learning. These results tend to support the hypothesis that mathematics focused students who prefer conceptual learning are more intrinsically motivated, and mathematics focused students who prefer procedural learning are more extrinsically motivated.

'I never imagined I'd have to teach these children': Providing authentic learning experiences for secondary pre-service teachers in teaching students with special needs

This article describes a collaborative and cross-curricula initiative undertaken in the School of Education at the University of Queensland, Brisbane, Australia. The project involved developing an integrated approach to providing professional year pre-service secondary teacher education students with experiences that would assist them to develop their knowledge and skills to teach students with special needs in their classrooms. These experiences were undertaken in the authentic teaching and learning context of a post-school literacy program for young adults with intellectual disabilities. In preliminary interviews pre-service teachers revealed that they lacked experience, knowledge and understanding related to teaching students with special needs, and felt that their teacher education program lacked focus in this field. This project was developed in response to these expressed needs. Through participating in the project, pre-service teachers' knowledge and understanding about working with students with diverse learning needs were developed as they undertook real and purposeful tasks in an authentic context.

Trans-Atlantic Pedagogy for Teaching Pre-Service Teachers ICT: Bringing forward cultural issues

Projecte de recerca elaborat a partir d’una estada a la Universitat de Toronto, Canadà, des d’octubre del 2006 a febrer del 2007. El projecte Barchito és un projecte Interrnacional que va involucrar tres universitats: La Universitat Autònoma de Barcelona, la Universitat de Toronto (Canadà) i la Universitat de Roosevelt (USA). El seu objectiu principal era posar en contacte estudiants de les tres universitats (de tres cursos diferents) per discutir al voltant de temes com ara l'ensenyament/aprenentatge i elements culturals de cada país. Aquest projecte presenta la natura de l'experiència des de la visió dels participants: alumnat i professorat. Superant diferències inicials de llengua, els participants van aprendre d'altra cultura, van aprendre sobre altres maneres d'ensenyar i van aprendre, en definitiva, sobre ells mateixos. L'eina d'aprenentatge col.laboratiu els va ajudar a sobrepassar el context immediat, emprant per això, l'eina tecnològica anomenada: Knowledge Forum.

A Handbook for Ontario J/I Pre-Service Teachers Developing Inclusive Pedagogy: Understanding Pre-Service Teachers' Thoughts and Feelings About Diversity

This project presents a handbook for Ontario Junior/Intermediate (J/I) pre-service teachers, Ontario J/I teacher education instructors, and J/I associate teachers that facilitates the identification, analysis, and reorganization of J/I pre-service teachers’ thoughts and feelings about diversity characteristics to develop inclusive teaching pedagogy. The handbook outlines collaborative and independent learning activities designed for integration into compulsory J/I Bachelor of Education (B.Ed.) program courses, practicum placements, and independent reflective situations. The handbook is composed of 5 sections: (a) Rationale for Importance; (b) Cross-Curricular Activities for J/I B.Ed. Courses; (c) Course-Specific Activities; (d) Practicum Placement Activities; and (e) Resources for Inclusive Educators. A critical content analysis of a 2011-2012 J/I B.Ed. program in Ontario enabled the creation of the handbook to address specific teacher education programming focused on helping pre-service teachers understand their thoughts and feelings about diversity for the development of inclusive teaching pedagogy. This research contributes to the advancement of theory and practice regarding development of teacher education programming that promotes J/I pre-service teachers’ inclusive pedagogy.

Collaborative language learning in Teletandem: a resource for pre-service teacher education

This article presents some of the results of a qualitative research project about the influences of the pedagogic strategies used by a mediator (graduate student in applied linguistics) in the supervision process of a Teletandem partner (undergraduate student in languages) on her pedagogical practice. It was done within the project Teletandem Brazil: foreign language for all. Based on the reflective teaching paradigm and collaborative language learning, with special emphasis on tandem learning, we analyzed the contributions of the collaborative relationship established between the graduate student and the student-teacher in her first teaching experience. The results bring about implications for the field of language teacher education in a perspective of education within practice, evidencing the experience of collaborative learning in teletandem as an opportunity for reflective teacher education of pre-service teachers.

Pedagogical techniques and student outcomes in applied instrumental lessons taught by experienced and pre-service American music teachers.

The purpose of the study was to examine the effect of teacher experience on student progress and performance quality in an introductory applied lesson. Nine experienced teachers and 15 pre-service teachers taught an adult beginner to play ‘Mary Had a Little Lamb’ on a wind instrument. The lessons were videotaped for subsequent analysis of teaching behaviors and performance achievement. Following instruction, a random sample of teachers was interviewed about their perceptions of the lesson. A panel of adjudicators rated final pupil performances. No significant difference was found between pupils taught by experienced and pre-service teachers in the quality of their final performance. Systematic observation of the videotaped lessons showed that participant teachers provided relatively frequent and highly positive reinforcement during the lessons. Pupils of experienced teachers talked significantly more during the lessons than did pupils of pre-service teachers. Pre-service teachers modeled significantly more on their instruments than did experienced teachers.

Effectiveness of an Online Social Constructivist Mathematical Problem Solving Course for Malaysian Pre-Service Teachers

This study assessed the effectiveness of an online mathematical problem solving course designed using a social constructivist approach for pre-service teachers. Thirty-seven pre-service teachers at the Batu Lintang Teacher Institute, Sarawak, Malaysia were randomly selected to participate in the study. The participants were required to complete the course online without the typical face-to-face classes and they were also required to solve authentic mathematical problems in small groups of 4-5 participants based on the Polya’s Problem Solving Model via asynchronous online discussions. Quantitative and qualitative methods such as questionnaires and interviews were used to evaluate the effects of the online learning course. Findings showed that a majority of the participants were satisfied with their learning experiences in the course. There were no significant changes in the participants’ attitudes toward mathematics, while the participants’ skills in problem solving for “understand the problem” and “devise a plan” steps based on the Polya’s Model were significantly enhanced, though no improvement was apparent for “carry out the plan” and “review”. The results also showed that there were significant improvements in the participants’ critical thinking skills. Furthermore, participants with higher initial computer skills were also found to show higher performance in mathematical problem solving as compared to those with lower computer skills. However, there were no significant differences in the participants’ achievements in the course based on gender. Generally, the online social constructivist mathematical problem solving course is beneficial to the participants and ought to be given the attention it deserves as an alternative to traditional classes. Nonetheless, careful considerations need to be made in the designing and implementing of online courses to minimize problems that participants might encounter while participating in such courses.