Modelling Mathematical Reasoning in Physics Education

Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a tool for calculation which hinders a conceptual understanding of physical principles. However, the role of mathematics cannot be reduced to this technical aspect. Hence, instead of putting mathematics away we delve into the nature of physical science to reveal the strong conceptual relationship between mathematics and physics. Moreover, we suggest that, for both prospective teaching and further research, a focus on deeply exploring such interdependency can significantly improve the understanding of physics. To provide a suitable basis, we develop a new model which can be used for analysing different levels of mathematical reasoning within physics. It is also a guideline for shifting the attention from technical to structural mathematical skills while teaching physics. We demonstrate its applicability for analysing physical-mathematical reasoning processes with an example.

Reconceptualising professional development in early childhood education. A study on teachers' professionalism carried out in Bologna province.

The research undertaken for this doctoral thesis explores the issue of teachers professionalism within pre-school institutions. The issue of early childhood professionalism has become increasingly important in the academic debate over the last decade as it is documented by a growing body of research published on the topic both nationally (Contini & Manini, 2007; Bondioli & Ferrari, 2004) and internationally (Peeters, 2008; Urban & Dalli, 2008; Urban, 2010). The study presented in this thesis aims at investigating teachers’ conceptualisations of professionalism by focusing on their understandings of educational work. The idea standing at the core of this research is that exploring the concept of professionalism from a ground-up perspective could lead to important reflections for a re-conceptualisation of professional development as a space for change directed from within institutions. The study is framed within a broadly sociological concern that inform the data analysis by contextualising the issue of early childhood professionalism in the contemporary socio-political arena. The research involves sixty teachers operating in state, municipal and private pre-school institutions located in Bologna province that took part to focus groups and interviews. The empirical materials, consisting of oral and written statements, are interpreted through phenomenographical analysis that gives account of how features of professionalism vary across the different institutional settings in which they are played out. This thesis, written in English and informed by an European research background, offers a contribution to the furthering of systemic approaches to the investigation of early childhood education professionalism in the context of the national and international academic debate.

Democratization, Education Reform, and the Mexican Teachers' Union

This study examines the effect of democratization on a key education reform across three Mexican states. Previous scholarship has found a positive effect of electoral competition on social spending, as leaders seek to improve their reelection prospects by delivering services to voters. However, the evidence presented here indicates that more money has not meant better educational outcomes in Mexico. Rather, new and vulnerable elected leaders are especially susceptible to the demands of powerful interest groups at the expense of accountability to constituents. In this case, the dominant teachers' union has used its leverage to exact greater control over the country's resource-rich merit pay program for teachers. It has exploited this control to increase salaries and decrease standards for advancement up the remuneration ladder. The evidence suggests that increased electoral competition has led to the empowerment of entrenched interests rather than voters, with an overall negative effect on education.

Teachers' professional development in a community

The goal of this article was to study teachers' professional development related to web-based learning in the context of the teacher community. The object was to learn in what kind of networks teachers share the knowledge of web-based learning and what are the factors in the community that support or challenge teachers professional development of web-based learning. The findings of the study revealed that there are teachers who are especially active, called the central actors in this study, in the teacher community who collaborate and share knowledge of web-based learning. These central actors share both technical and pedagogical knowledge of web-based learning in networks that include both internal and external relations in the community and involve people, artefacts and a variety of media. Furthermore, the central actors appear to bridge different fields of teaching expertise in their community. According to the central actors' experiences the important factors that support teachers' professional development of web-based learning in the community are; the possibility to learn from colleagues and from everyday working practices, an emotionally safe atmosphere, the leader's personal support and community-level commitment. Also, the flexibility in work planning, challenging pupils, shared lessons with colleagues, training events in an authentic work environment and colleagues' professionalism are considered meaningful for professional development. As challenges, the knowledge sharing of web-based learning in the community needs mutual interests, transactive memory, time and facilities, peer support, a safe atmosphere and meaningful pedagogical practices. On the basis of the findings of the study it is suggested that by intensive collaboration related to web-based learning it may be possible to break the boundaries of individual teachership and create such sociocultural activities which support collaborative professional development in the teacher community. Teachers' in-service training programs should be more sensitive to the culture of teacher communities and teachers' reciprocal relations. Further, teacher trainers should design teachers' in-service training of web-based learning in co-evolution with supporting networks which include the media and artefacts as well as people.

Using Moodle as a support tool for teaching in Higher Education in Portugal: an exploratory study

The use of virtual learning environments in Higher Education (HE) has been growing in Portugal, driven by the Bologna Process. An example is the use of Learning Management Systems (LMS) that translates an opportunity to leverage the use of technological advances in the educational process. The progress of information and communication technologies (ICT) coupled with the great development of Internet has brought significant challenges to educators that require a thorough knowledge of their implementation process. These field notes present the results of a survey among teachers of a private HE institution in its use of Moodle as a tool to support face-to-face teaching. A research methodology essentially of exploratory nature based on a questionnaire survey, supported by statistical treatment allowed to detect motivations, type of use and perceptions of teachers in relation to this kind of tool. The results showed that most teachers, by a narrow margin (58%), had not changed their pedagogical practice as a consequence of using Moodle. Among those that did 67% attended institutional internal training. Some of the results obtained suggest further investigation and provide guidelines to plan future internal training.

Action Research and Learning Analytics in Higher Education

Teaching is a dynamic activity. It can be very effective, if its impact is constantly monitored and adjusted to the demands of changing social contexts and needs of learners. This implies that teachers need to be aware about teaching and learning processes. Moreover, they should constantly question their didactical methods and the learning resources, which they provide to their students. They should reflect if their actions are suitable, and they should regulate their teaching, e.g., by updating learning materials based on new knowledge about learners, or by motivating learners to engage in further learning activities. In the last years, a rising interest in ‘learning analytics’ is observable. This interest is motivated by the availability of massive amounts of educational data. Also, the continuously increasing processing power, and a strong motivation for discovering new information from these pools of educational data, is pushing further developments within the learning analytics research field. Learning analytics could be a method for reflective teaching practice that enables and guides teachers to investigate and evaluate their work in future learning scenarios. However, this potentially positive impact has not yet been sufficiently verified by learning analytics research. Another method that pursues these goals is ‘action research’. Learning analytics promises to initiate action research processes because it facilitates awareness, reflection and regulation of teaching activities analogous to action research. Therefore, this thesis joins both concepts, in order to improve the design of learning analytics tools. Central research question of this thesis are: What are the dimensions of learning analytics in relation to action research, which need to be considered when designing a learning analytics tool? How does a learning analytics dashboard impact the teachers of technology-enhanced university lectures regarding ‘awareness’, ‘reflection’ and ‘action’? Does it initiate action research? Which are central requirements for a learning analytics tool, which pursues such effects? This project followed design-based research principles, in order to answer these research questions. The main contributions are: a theoretical reference model that connects action research and learning analytics, the conceptualization and implementation of a learning analytics tool, a requirements catalogue for useful and usable learning analytics design based on evaluations, a tested procedure for impact analysis, and guidelines for the introduction of learning analytics into higher education.

Beyond questionnaires – Exploring adult education teachers' mathematical beliefs with pictures and interviews

Because of the impact that mathematical beliefs have on an individual’s behaviour, they are generally well researched. However, little mathematical belief research has taken place in the field of adult education. This paper presents preliminary results from a study conducted in this field in Switzerland. It is based on Ernest’s (1989) description of mathematics as an instrumental, Platonist or problem solving construct. The analysis uses pictures drawn by the participants and interviews conducted with them as data. Using a categorising scheme developed by Rolka and Halverscheid (2011), the author argues that adults’ mathematical beliefs are complex and especially personal aspects are difficult to capture with said scheme. Particularly the analysis of visual data requires a more refined method of analysis.

Multigrade teaching in primary education as a promising pedagogy for teacher education in Austria and Finland

This chapter focuses on teaching practices used in multigrade classes and the importance of them being incorporated in teacher education as promising pedagogies for future use. Multigrade classes - defined as classes in which two or more grades are taught together - are common worldwide. Hence, there is a need for teacher candidates to become familiar with how to teach in split grade classrooms. However, research on multigrade teaching as well as its development in teacher education studies has been neglected, even though multigrade teachers need special skills to organize instruction in their heterogeneous classrooms. We argue that in successful multigrade teaching practices, the heterogeneity of students is taken into account and cultivated. Based on content analysis of teacher interviews conducted in Austrian and Finnish primary schools, we recommend teaching practices such as spiral curricula, working plans, and peer learning as promising teacher education pedagogies for future multigrade class teaching. We also suggest that the professional skills required in high-quality teaching practices in multigrade teaching should be further studied by researchers and educators.

Teachers' Views of Human Rights Education

The Universal Declaration of Human Rights (UDHR) states that education should be "directed to the full development of the human personality and to the strengthening of respect for human rights and fundamental freedoms... promote understanding, tolerance and friendship among all nations, racial or religious groups." This study surveyed 53 teachers on their views of Human Rights Education, including their familiarity with the concept, their self-efficacy with teaching it, and conditions that would increase the likelihood of their teaching it. The study found that, regardless of familiarity with the topic, years of teaching experience, or school location (urban/suburban), most teachers were open to teaching Human Rights Education. They did identify the need for better resources in the form of lesson plans, teaching materials, and professional training. In addition, support from other teachers, administration, and parents was felt to be important in order for them to undertake Human Rights Education. The best strategy to move forward with Human Rights Education would be to provide resources and support for teachers so that we can be living up to the expectations put forth in the UDHR.

The association between classroom characteristics and student physical activity in physical education classrooms

Background. With the rapid rise in childhood obesity, physical activity participation among young children has become the subject of much recent attention. Physical education classes have been specifically targeted as a method of providing opportunities for all children to be active. Unfortunately, student participation in moderate-to-vigorous physical activity during these classes still falls far below the current recommendations. While some research to date has reported the levels of activity among elementary-aged children, research is limited on the relationship between these activity levels and the environmental characteristics that exist within the PE classroom. ^ Purpose. The purpose of this study is to examine the association between specific classroom characteristics and contextual characteristics (lesson context, class size, class location, teacher gender, and teacher encouragement for PA) with elementary aged children's moderate-to-vigorous activity during PE class. ^ Methods. A secondary analysis of 211 3rd, 4th and 5th grade physical education classes amongst 39 elementary schools in Harris County, TX and 35 elementary schools in Travis County, TX was conducted using cross-sectional data from the evaluation of a school-based health program. Lesson context and student activity levels were measured using a direct observation measurement tool. Additionally, these variables were further analyzed against a number of classroom characteristics to determine any significant associations. ^ Results. Overall, elementary PE classes are still participating in low levels of moderate-to-vigorous physical activity averaging only 38% of class time. Additionally, close to 25% of class time is spent in classroom management. Male directed classes spent significantly more time in game activities and female directed classes spent more time in fitness, knowledge, and skill activities. Classes that took place outdoors were more active and spent more time in games than those that took place indoors. Significant correlations were demonstrated between class size and time spent in management context. Time spent in management context was also correlated with time spent sitting and standing. Additionally, positive correlations were demonstrated between time very active and teachers that praised students and encouraged physical activity among their classes.^