We investigated whether Early Algebra lessons that explicitly aimed to elicit mathematical discussions (Shift-Problem Lessons) invoke more and qualitatively better mathematical discussions and raise students’ mathematical levels more than conventional lessons in a small group setting. A quasi-experimental study (pre- and post-test, control group) was conducted in 6 seventh-grade classes (N =160). An analysis of the interaction processes of five student groups showed that more mathematical discussions occurred in the Shift-Problem condition. The quality of the mathematical discussions in the Shift-Problem condition was better compared to that in the Conventional Textbook condition, but there is still more room for improvement. A qualitative illustration of two typical mathematical discussions in the Shift-Problem condition are provided. Although students’ mathematical levels were raised a fair amount in both conditions, no differences between conditions were found. We concluded that Shift-Problem Lessons are powerful for eliciting mathematical discussions in seventh-grade Shift-Problem Early Algebra Lessons.
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The purpose of the design-based research reported here is to show – as a proof of principle – how the idea of scaffolding can be used to support primary teachers in a professional development programme (PDP) to design and enact language-oriented science lessons. The PDP consisted of six sessions of 2.5 h each in which twelve primary school teachers took part over a period of six months. It centralised the language support that pupils need to reason during science lessons. In line with the idea of scaffolding, the structure of the PDP targeted teachers' gradual independence in designing lessons. The first research question is how scaffolding was enacted during the PDP. The analysis of video recordings, field notes, researcher and teacher logs, and teacher design assignments focused on the enactment of three scaffolding characteristics: diagnosis, responsiveness and handover to independence. The second research question concerns what teachers learned from the participation in the PDP that followed a scaffolding approach. The data analysis illustrates that these teachers had learned much in terms of designing and enacting language-oriented science lessons. In terms of diagnosis and responsiveness, our PDP approach was successful, but we problematise the ideal of scaffolding approaches focused on handover to independence.
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This study reports the evaluation of a lesson series, developed in collaboration with teachers and experts, to generate a research-based solution for teaching critical thinking through Socratic dialogue in secondary vocational education. The lesson series has been evaluated for feasibility and tailoring to different target groups of students by five citizenship education teachers and 85 students. Data consisted of self-report questionnaires by teachers and students, complemented with observations of lessons. Results show that lessons based on Socratic dialogue for teaching critical thinking to students in secondary vocational education are considered a promising educational intervention. Teachers considered the lessons as feasible and well-tailored to their students and were able to implement the lessons in their classrooms. Students were motivated to participate, and their motivation did not decrease significantly during the lesson series. At the same time, students tended to be more motivated when the value of learning to think critically for their future profession was clearly substantiated. Practical implications from the evaluation of the lesson series were that, in addition to participating in Socratic dialogue, students need clear learning objectives and short assignments to remain active.
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