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    Examining How Prospective Mathematics Teachers' Instructional Visions Align with Their Responding Practices Through Scripting Tasks
    (Springer, 2023) Osmanoglu, Aslihan; Girit-Yildiz, Dilek
    In this qualitative study, we examined how prospective mathematics teachers' instructional visions align with their instructional practices through an approximation of practice opportunity. Namely, we employed scripting tasks to understand how prospective teachers complete a scripting task and respond to students' misconceptions, and we compared their instructional visions with their responding practices. The 81 prospective mathematics teachers who were taking the Misconceptions in Mathematics Teaching course at two different state universities comprised the participants. Data was obtained from the instructional vision questionnaire and two scripting tasks in fractions. We analyzed the data using the content analysis technique. Our findings indicate that the majority of the participants' instructional visions were aligned with ambitious instruction, while their responding practices were mostly inconsistent with their visions. Our findings suggest that while their instructional visions were highly reform based, prospective mathematics teachers still need to be oriented in an ambitious instructional direction in their practices.
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    Investigating How Prospective Mathematics Teachers Prepare History Integrated Lesson Plans with Assessing Historical Elements in Mathematics Textbooks
    (Springer, 2024) Girit-Yildiz, Dilek; Ulusoy, Fadime
    It is difficult for mathematics teachers to find and utilize relevant historical content for their students. In this study, we aimed to examine how prospective mathematics teachers (PMTs) evaluate the history of mathematics (HM) in curriculum resources and how they integrate the HM into lesson plans. We collected data through PMTs' evaluation reports on the analysis of textbooks, lesson plans, and lesson plan reflections. PMTs evaluated textbooks critically, acknowledging the limits and recognizing the possibilities. They mostly provided negative evaluations and criticized the quality of HM in the textbooks. The findings revealed that PMTs' evaluations of the analysis of HMs in textbooks served as a bridge to assist their utilization of HMs in lesson plans. When PMTs incorporated HM into their lesson plans in an effort to engage students in the learning of mathematics, the HM integration reached higher levels of cognitive demand. However, they performed less well when incorporating pedagogical instructions and student thinking. The theoretical and practical implications of the study are discussed.