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.

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.

Supporting inclusiveness through concepts of gender

Some dads wear nail polish! Is the tooth fairy a boy or a girl? My Grade Two students’ voices were integral in developing each of the action research cycles as students became co-creators of knowledge. I gathered data through a personal journal, observations, reflections, work samples, interviews and classroom artifacts. The research question was focused on creating a safe and caring classroom environment by selecting appropriate instructional strategies based on developing my students’ concept of gender. Findings included students’ acceptance of differences, emulation of gender stereotypes, the significance of role models and student empowerment. Conclusions examined the influence that behaviour has on instructional strategies, creating allies among primary students, the importance of teacher training and the influence that students have in their classroom. Thoughts towards future research include the need for further parent engagement and more exploration of the impact that the school environment has in the classroom.

Using First Nations Children's Literature in the Classroom: Portfolio of Learning

A portfolio was developed to encourage teachers of Aboriginal children to include First Nations mentor texts into their daily teaching practices. The artifacts within the portfolio have been produced in accordance with guiding beliefs about how students, specifically First Nations students, learn. The portfolio supports the notion that Aboriginal children need to encounter representations of their own culture, histories and beliefs within the literature in order to be successful in school. The use of First Nations children’s literature in the classroom was explored with an emphasis on how using this literature will assist in improving literacy levels and the self-esteem of First Nations students.

A fourth-grade teacher's classroom perspective

Countless books have been written about what is good and what is bad about our educational system. No matter what the book or what the theory, all agree the classroom teacher is critical to the education process. Many influences affect classroom teaching, some of which are beyond her control, but a caring classroom teacher has a central role in the instruction of children The purpose of this case study was to inquire into the beliefs and behaviors of one elementary school teacher in a low socio-economic school and study her classroom perspective. This teacher of five years was a reading specialist and was teaching a full fourth grade curriculum for the first time. Because she suffered from math phobia, she was apprehensive about teaching mathematics. ^ This qualitative study required intense, time-consuming interviews, long and frequent observations, critical journaling, field notes and artifacts provided by the teacher. The resulting descriptive data was coded into categories and reassembled into themes that captured the essence of the teacher's beliefs. ^ The overarching themes found were: first, the teacher's caring attitude towards her students, cultivated by her affectionate family, her mother who is an elementary school teacher, and rich and rewarding elementary school experiences, second, her implementation of the curriculum, influenced by her passion for reading, her math phobia, and standardized tests and third, her attitudes toward her workplace, school administrators and collegiality among teachers. During the school year this teacher “owned” her classroom and was a full participant in its life! Her dedication to teaching was fostered by the satisfaction of knowing she has a profound impact and makes a significant difference in her students' lives. ^ This study suggested areas for further research on the following topics: consideration of teachers with math phobia, the effect of standardized tests on areas of the curriculum and the value of computers in the elementary school classroom. ^

Working in a Mexican Classroom: An Autoethnographic Study

This autoethnographical study seeks to develop a deeper understanding of the challenges that are faced by the researcher in adapting to a new cultural and linguistic setting as well as describing the teaching practices that the researcher encounters in a Mexican classroom; data will be collected through the process of reflective journaling as well as the collection of pictures and artifacts.

Prioritizing Purposes: Two American History Teachers' Choices Among Subject Matter and Classroom-Related Purposes

This study explores how two American history teachers - one novice and one experienced – make in-the-moment choices among their history subject matter and classroom-related purposes during the teaching of an American history unit. Using classroom observations, lesson artifacts, student work products, and deep, retrospective interviews with the teachers as they watched videos of their teaching, this study maps out in detail the teachers’ purposes, both within and across different lesson activity structures. This study finds that the novice and the experienced teacher navigated among their purposes differently from each other, and that the characteristics of each teacher’s purposes navigation aligned with student outcomes in that teacher’s class. The novice teacher acted more like a juggler, with visible, reactive navigation among each purpose operational throughout his teaching; student outcomes in his class were similarly fragmented and discrete. The experienced teacher presented more like an orchestra conductor, interweaving his purposes and anticipating the navigation decisions that would create a more seamless whole; student outcomes in his class were aligned with his holistic navigation of purposes. Findings from this study have important implications for education research and teacher practice, including the relationship between teachers’ navigation among purposes and desired student outcomes, the integral role of classroom-related purposes interwoven with history subject matter purposes in teachers’ decision-making, and the differences in purposes navigation between a novice and an experienced history teacher.

Visual demonstration of the ionic strength effect in the classroom: the Debye-Hückel limiting law

The effects of ionic strength on ions in aqueous solutions are quite relevant, especially for biochemical systems, in which proteins and amino acids are involved. The teaching of this topic and more specifically, the Debye-Hückel limiting law, is central in chemistry undergraduate courses. In this work, we present a description of an experimental procedure based on the color change of aqueous solutions of bromocresol green (BCG), driven by addition of electrolyte. The contribution of charge product (z+|z-|) to the Debye-Hückel limiting law is demonstrated when the effects of NaCl and Na2SO4 on the color of BCG solutions are compared.