The practitioner perspective on the modeling of pedagogy and practice

The promotion of e-learning in policies internationally has led to questions about how best to employ technology in support of learning. A range of models has since been developed that attempts to relate pedagogy to technology. However, research into the effectiveness of such models in changing teaching practice is sparse, and work that compares these models to practitioners’ own representations of their practice is absent. The study described here involved asking practitioners to model their own practice, and to compare these with a model developed by a government organisation. Practitioners were adept at using existing models and repurposing them to suit their own context. Our research provided evidence of broad acceptance of the existing model with practitioners, but indicated that practitioners would take this tool and remodel it for their own contexts of learning to make it meaningful, relevant and useful to them

Towards a strategy for the introduction of information and computer literacy (ICL) courses

An important goal of the national policy on computers in education in the Netherlands is the familiarization of all citizens with information technology. This policy was a plea for some basic education in information and computer literacy. In the beginning of the implementation of this basic education for all a national survey (about grassroots developments) in Dutch junior secondary education was executed (Spring, 1984) with the following objectives: (i) to collect information which can serve as a baseline for the evaluation of future developments and (ii) to perform a context analysis to provide policy makers, innovation planners and curriculum developers with information about the state-of-the-art on information and computer literacy in the schools. The survey instruments were partly developed with as underlying structure some of the factors which are influencing the implementation of educational changes. The instruments were submitted to a sample of 462 schools representing the different types of junior secondary schools. Variation between the schools was obtained by distinguishing different levels of involvements of schools in information and computer literacy. This paper analyses how far in the schools, which are experimenting with information and computer literacy on their own initiative, some of the implementation factors of Fullan are fulfilled. Based upon this analysis a recommendation for a policy strategy for introducing this new domain in the schools is formulated

Student teachers\u27 learning and teaching mathematics with programming

Sweden’s school curriculum was revised to include programming as a mathematical content from the year 2018. However, teacher education included using IT-tools for teaching, but not specifically programming. To correct this situation, we have developed a new programming strand in the training of secondary school mathematics teachers at the university of Gothenburg. The aim of this study is to observe how student teachers towards the end of the program use their knowledge to plan uses of programming in their own mathematics teaching. It is part of a larger research and development project on introducing programming in secondary school mathematics education. Two theoretical frameworks are relevant here: instrumental genesis, i.e., the process where an instrument is formed from an artefact, when students use programming as a tool in mathematics (Trouche 2004), and the theory of didactic transposition, to frame the student teacher\u27s transformation of their own knowledge into knowledge to be taught (Chevallard 2006). Each mathematics course in the teacher education program for secondary teachers at the university of Gothenburg contains a few computer lab sessions. About half of them are focused on using IT-tools (e.g. Geogebra) to learn mathematics. The other half of the computer labs use programming to highlight mathematical concepts. There is no course in programming per se. In the first mathematics course, the students build a first block program in Scratch to draw regular polygons, using loops and variables. In the second course, in Calculus, they estimate integrals with Riemann sums, using loops in Python. The strand then continues in Python, with data analysis in Statistics and prime numbers and cryptography in Number theory. Four school practice periods are spread throughout\ua0the program, and in the third of these, student teachers plan a mathematics lesson with programming, to use with their school class. In this study we analyze the student’s lesson plans and discussion in a seminar where the students discuss their lesson design. Of interest is both the design itself and the students’ attitude, self-efficacy and reflections regarding their teaching of mathematics through programming. In particular, we are interested in the students’ argumentation on how their planned lessons may help the pupils to achieve the learning goals. Preliminary results indicate that students struggle to meet the double goal of introducing programming and supporting the mathematics in the curriculum. References: Chevallard, Y. (2006). Steps towards a new epistemology in mathematics education. In Bosch, M. Proceedings of the 4th Conference of the European Society for Research in Mathematics Education (CERME 4) (pp. 21–30). Trouche, L. (2004). Managing the complexity of human/machine interactions in computerized learning environments: Guiding students’ command process through instrumental orchestrations. International Journal of Computers for Mathematical Learning, 9(3), 281–307

Conceptually driven and visually rich tasks in texts and teaching practice: the case of infinite series

The study we report here examines parts of what Chevallard calls the institutional dimension of the students’ learning experience of a relatively under-researched, yet crucial, concept in Analysis, the concept of infinite series. In particular, we examine how the concept is introduced to students in texts and in teaching practice. To this purpose, we employ Duval's Theory of Registers of Semiotic Representation towards the analysis of 22 texts used in Canada and UK post-compulsory courses. We also draw on interviews with in-service teachers and university lecturers in order to discuss briefly teaching practice and some of their teaching suggestions. Our analysis of the texts highlights that the presentation of the concept is largely a-historical, with few graphical representations, few opportunities to work across different registers (algebraic, graphical, verbal), few applications or intra-mathematical references to the concept's significance and few conceptually driven tasks that go beyond practising with the application of convergence tests and prepare students for the complex topics in which the concept of series is implicated. Our preliminary analysis of the teacher interviews suggests that pedagogical practice often reflects the tendencies in the texts. Furthermore, the interviews with the university lecturers point at the pedagogical potential of: illustrative examples and evocative visual representations in teaching; and, student engagement with systematic guesswork and writing explanatory accounts of their choices and applications of convergence tests

Edaq530: a transparent, open-end and open-source measurement solution in natural science education

We present Edaq530, a low-cost, compact and easy-to-use digital measurement solution consisting of a thumb-sized USB-to-sensor interface and a measurement software. The solution is fully open-source, our aim being to provide a viable alternative to professional solutions. Our main focus in designing Edaq530 has been versatility and transparency. In this paper, we shall introduce the capabilities of Edaq530, complement it by showing a few sample experiments, and discuss the feedback we have received in the course of a teacher training workshop in which the participants received personal copies of Edaq530 and later made reports on how they could utilise Edaq530 in their teaching

Science Teacher Learning of MBL-Supported Student-Centered Science Education in the Context of Secondary Education in Tanzania

Science teachers from secondary schools in Tanzania were offered an in-service arrangement to prepare them for the integration of technology in a student-centered approach to science teaching. The in-service arrangement consisted of workshops in which educative curriculum materials were used to prepare teachers for student-centered education and for the use and application of Microcomputer Based Laboratories (MBL)—a specific technology application for facilitating experiments in science education. Quantitative and qualitative data were collected to study whether the in-service arrangement impacted teacher learning. Teacher learning was determined by three indicators: (1) the ability to conduct MBL-supported student centered science lessons, (2) teachers’ reflection on those lessons and (3) students’ perceptions of the classroom environment. The results of the research indicate that the teachers’ were able to integrate MBL in their science lessons at an acceptable level and that they were able to create a classroom environment which was appreciated by their students as more investigative and open-ended

Technology-enhanced Personalised Learning: Untangling the Evidence

Technology-enhanced personalised learning is not yet common in Germany, which is why we have tasked scientists with summarising the current status of international research on the matter. This study demonstrates the great potential of technology in implementing effective personalised learning. Nevertheless, it has not been assessed yet whether the practical implementation actually works: Even in countries such as the U.S., which lead the way in using techology in classroom settings, hardly any evaluation studies have been done to prove the effectiveness of technology-enhanced personalised learning. In the light of the above, the authors make recommendations for actions to be taken in Germany to make best use of the potential of technology in providing individual support and guidance to students

Curriculum Guidelines for Undergraduate Programs in Data Science

The Park City Math Institute (PCMI) 2016 Summer Undergraduate Faculty Program met for the purpose of composing guidelines for undergraduate programs in Data Science. The group consisted of 25 undergraduate faculty from a variety of institutions in the U.S., primarily from the disciplines of mathematics, statistics and computer science. These guidelines are meant to provide some structure for institutions planning for or revising a major in Data Science