In the Netherlands there is discussion about the best way to teach mathematics, especially in the case of primary school students. Being able to identify and understand pupils’ multiple problem solving strategies is one of the pillars of pedagogy. However, it is very demanding for teachers, since it requires to notice and analyze pupils’ mathematical thinking and to understanding their actions. The skill to notice and analyze a student’s mathematical thinking is usually not emphasized in Dutch primary school teacher training. It is important to find ways to help teacher-students to analyze student mathematical reasoning, and to learn to recognize the importance of such analysis. Sherin and van Es used the concept of video clubs to help teachers in US schools to notice and analyze their students’ mathematical thinking. In such video clubs, students jointly discuss their filmed lessons. This leads to the following research question:How can video clubs be used to teach students who are learning to become primary school teachers to analyze their pupils’ mathematical thinking and to learn to recognize the importance of such analysis?This paper describes a study that monitors a video club with four participants.
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Educational innovations often tend to fail, mainly because teachers and school principals do not feel involved or are not allowed to have a say. Angela de Jong's dissertation shows the importance of school principals and teachers leading 'collaborative innovation' together. Collaborative innovation requires a collaborative, distributed approach involving both horizontal and vertical working relationships in a school. Her research shows that teams with more distributed leadership have a more collaborative 'spirit' to improve education. Team members move beyond formal (leadership) roles, and work more collectively on school-wide educational improvement from intrinsic motivation. De Jong further shows that school principals seek a balance in steering and providing space. She distinguished three leadership patterns: Team Player, Key Player, Facilitator. Team players in particular are important for more collaborative innovation in a school. They balance between providing professional space to teachers (who look beyond their own classroom) and steering for strategy, frameworks, boundaries, and vision. This research took place in schools working with the program of Foundation leerKRACHT, a program implemented by more than a thousand schools (primary, secondary, and vocational education). The study recommends, towards school principals and teachers, and also towards trainers, policymakers, and school board members, to reflect more explicitly on their roles in collaborative innovation and talk about those roles.
Collaborative learning is not a new teaching and learning approach; it has been around since the 1970s and is an evidence-based practice that has been proven to be effective time after time. Therefore, instead of reinventing the wheel or only relying on best practices or anecdotal evidence of what works and what doesn’t, especially when designing Collaborative Online International Learning (COIL) environments, educators might find it useful to make use of existing collaborative learning instructional design elements. These elements have been scientifically proven to be effective and can be applied in both the physical and online international classroom.
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