Diagnosing teachers are teachers who perceive diagnostic information about students’ learning process, interpret these aspects, decide how to respond, and act based on this diagnostic decision. During supervision meetings about the undergraduate thesis supervisors make in-the-moment decisions while interacting with their students. We regarded research supervision as a teaching process for the supervisor and a learning process for the student. We tried to grasp supervisors’ in-the-moment decisions and students’ perceptions of supervisors’ actions. Supervisor decisions and student perceptions were measured with video-stimulated recall interviews and coded using a content analysis approach. The results showed that the in-the-moment decisions our supervisors made had a strong focus on student learning. Supervisors often asked questions to empower students or to increase student understanding. These supervising strategies seemed to be adapted to students’ needs, as the latter had positive perceptions when their control increased or when they received stimuli to think for themselves.
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Many students persistently misinterpret histograms. This calls for closer inspection of students’ strategies when interpreting histograms and case-value plots (which look similar but are diferent). Using students’ gaze data, we ask: How and how well do upper secondary pre-university school students estimate and compare arithmetic means of histograms and case-value plots? We designed four item types: two requiring mean estimation and two requiring means comparison. Analysis of gaze data of 50 students (15–19 years old) solving these items was triangulated with data from cued recall. We found five strategies. Two hypothesized most common strategies for estimating means were confirmed: a strategy associated with horizontal gazes and a strategy associated with vertical gazes. A third, new, count-and-compute strategy was found. Two more strategies emerged for comparing means that take specific features of the distribution into account. In about half of the histogram tasks, students used correct strategies. Surprisingly, when comparing two case-value plots, some students used distribution features that are only relevant for histograms, such as symmetry. As several incorrect strategies related to how and where the data and the distribution of these data are depicted in histograms, future interventions should aim at supporting students in understanding these concepts in histograms. A methodological advantage of eye-tracking data collection is that it reveals more details about students’ problem-solving processes than thinking-aloud protocols. We speculate that spatial gaze data can be re-used to substantiate ideas about the sensorimotor origin of learning mathematics.
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The aim of this study is to clarify how pre-service teachers perceive mentor teachers' use of mentoring skills. Sixty stimulated-recall interviews were conducted, each in connection with a previously recorded mentoring dialogue. A quantitative analysis showed that six types of mentoring skills appeared to be perceived by pre-service teachers as offering emotional support and five others as offering task assistance. After mentor teachers were trained in mentoring skills, shifts in their frequencies of use of distinct skills, as observed by independent raters, corresponded to a considerable extent with shifts in frequencies of pre-service teacher perceptions of mentor teachers' mentoring behaviour.
