The process of problem posing: development of a descriptive phase model of problem posing

The aim of this study is to develop a descriptive phase model for problem-posing activities based on structured situations. For this purpose, 36 task-based interviews with pre-service primary and secondary mathematics teachers working in pairs who were given two structured problem-posing situations were conducted. Through an inductive-deductive category development, five types of activities (situation analysis, variation, generation, problem-solving, evaluation) were identified. These activities were coded in so-called episodes, allowing time-covering analyses of the observed processes. Recurring transitions between these episodes were observed, through which a descriptive phase model was derived. In addition, coding of the developed episode types was validated for its interrater agreement.

Data Management Plan for Preparing Secondary Mathematics Teachers with Video Cases of Students’ Functional Reasoning

Data management plan for 2016 NSF Education and Human Resources (EHR) Improving Undergraduate STEM Education: Education and Human Resources (IUSE: EHR) Program Proposal

The Skills of Mathematics Teachers with Different Professional Experiences to Notice the Evidence of Student Thinking

There are different types of evidence that reflect students' thinking in classroom interactions. Student discourse, gestures, actions can be shown among these. The aim of the current study is to reveal the skills of secondary mathematics teachers with different professional experiences to notice different types of evidence of student thinking. For this aim, the study was designed within the context of a case study, one of the qualitative research methods. The data of the study were obtained through video-based interviews with five secondary mathematics teachers. Six video episodes containing different types of evidence for video-based interviews were shown to teachers. In the interviews, targeted questions were asked to reveal what types of evidence the participating teachers took into account in the videos they watched, how they interpret these types of evidence, and what kind of instructional decisions they suggested. The types of evidence that teachers noticed in the videos and how they made sense of the evidence were analyzed qualitatively. Various findings have been revealed depending on the different professional experiences of the teachers. First, experienced (5 years and above) teachers paid more attention to the types of verbal evidence of student thinking. Student statements and questions were more visible to experienced teachers, especially among oral evidence. Second, the evidence-based comments described by the experienced teachers were aimed at drawing more conclusions. However, it is noteworthy that teachers who make inferences based on student's cognitive thinking also attend postgraduate education or professional experience courses. Third, the instructional decisions of experienced teachers who attended postgraduate education and professional experience courses, based on student thinking, were mostly related to specific mathematical subjects.