This research project aimed to extend the research literature by providing greater insight into the way individual prospective teachers develop their conceptual understanding of whole number concepts and operations in a social context. In this qualitative study, a case study analysis provided the opportunity for careful exploration of the manner in which prospective teachers' understanding changed and the ways two selected participants reorganized their mathematical thinking within a classroom teaching experiment. While previous research efforts insisted on creating a dichotomy of choosing the individual or the collective understanding, through the utilization of the emergent perspective both the individual and the social aspects were considered. Specifically, using the emergent perspective as a theoretical framework, this research endeavor has outlined the mathematical conceptions and activities of individual prospective teachers and thus has provided the psychological perspective correlate to the social perspective's classroom mathematical practices. As the research participants progressed through an instructional sequence taught entirely in base-8, a case study approach was used to select and analyze two individuals. In order to gain a more thorough understanding of the individual perspective, this research endeavor focused on whether teachers with varying initial content knowledge developed differently through this instructional sequence. The first participant initially demonstrated "Low-Content" knowledge according to the CKT-M instrument database questions which measure content knowledge for teaching mathematics. She developed a greater understanding of place value concepts and was able to apply this new knowledge to gain a deeper sense of the rationale behind counting strategies and addition and subtraction operations. She did not demonstrate the ability to consistently make sense of multiplication and division strategies. She participated in the classroom argumentation primarily by providing claims and data as she illustrated the way she would use different procedures to solve addition and subtraction problems. The second participant illustrated "High-Content" knowledge based on the CKT-M instrument. She already possessed a solid foundation in understanding place value concepts and throughout the instructional sequence developed various ways to connect and build on her initial understanding through the synthesis of multiple pedagogical content tools. She demonstrated conceptual understanding of counting strategies, and all four whole number operations. Furthermore, by exploring various ways that other prospective teachers solved the problems, she also presented a greater pedagogical perspective in how other prospective teachers think mathematically. This prospective teacher showed a shift in her participation in classroom argumentation as she began by providing claims and data at the outset of the instructional sequence. Later on, she predominantly provided the warrants and backings to integrate the mathematical concepts and pedagogical tools used to develop greater understanding of whole number operations. These results indicate the findings based on the individual case-study analysis of prospective elementary school teachers and the cross-case analysis that ensued. The researcher contends that through the synthesis of the findings of this project along with current relevant research efforts, teacher educators and educational policy makers can revisit and possibly revise instructional practices and sequences in order to develop teachers with greater conceptual understanding of concepts vital to elementary mathematics.

Students in preservice teacher preparation courses are instructed, assessed, and graded by either regular full-time faculty members or adjunct part-time instructors. The assessment practices utilized by individuals from these two different instructor levels may be inconsistent and differ significantly, thereby affecting the thorough preparation and training of preservice teacher credential students. There was a two-fold purpose for this study. The first was to determine what the assessment practices of regular faculty and adjunct instructors are in preservice teacher education courses. Specifically, the study did so by administering a survey to determine the course assessment practices; i.e. class attendance, class participation, quizzes, other written papers or assignments during a course, final exams (written in class, take home, oral, or none at all), utilized by the two different instructor levels. The second purpose for the study was to determine if there was a statistically significant difference between the assessment practices of regular instructors compared to adjunct faculty members. The subjects chosen for this study were the entire preservice teacher education full-time faculty or regular instructors, a total of 40 individuals, and 97 preservice course teaching adjunct or part-time instructors (selected at random) from a private university. Together this constituted a total sample population of 137 individuals that were included in the survey utilized for this study. The results of this study showed that there was a statistically significant difference in the utilization of 3 (or 15%) out of 20 assessment practices (Class Attendance, Portfolios, and Final Exam: Oral) between regular and adjunct instructors in preservice teacher education programs. Since the possible effects of differences in the utilization of assessment practices or teaching between full-time and part-time instructors has not been conducted at the higher education level, research in this area may make an important contribution to the future preparation of preservice teacher education students.

Cultivating preservice teachers' reflection on their practice has been a major objective in teacher education over the last twenty years. Teacher educators have designed a number of activities, usually related to coursework, to facilitate preservice teachers' reflectivity. These kinds of assignments might be described as asking preservice teachers to reflect on demand. Studies in the past have typically focused on the discussion of specific strategies used to elicit reflection or descriptions of reflective teacher education programs. This study explored how preservice and first-year teachers understand and engage in reflection in different contexts while learning to teach. A sample of seventeen respondents, education students enrolled in coursework, student teachers, and first-year teachers, was selected to participate in the study. The data consisted of interviews, classroom observations and the examination of related documents. Preservice teachers taking courses engaged in introspection or self-reflection. This time was spent exploring their emerging identities as teachers. As respondents got opportunities to work in school settings, they began to reflect more on content and students. First-year teachers applied some of the reflective strategies they learned during coursework in their own practice. Several factors appeared to enhance preservice and first-year teachers' ability to reflect as they moved from coursework into student teaching and their own classrooms: (1) building relationships with teachers and students in K--12 classrooms, (2) engaging in reflective dialogue with 'more knowledgeable others'---university faculty and practitioners, and (3) having opportunities to teach on a regular basis.

This study explored how preservice teachers perceive the influence and value of an embedded, school-based field experience. Information was gathered from preservice teachers using surveys and a focus group interview. The data collected showed that an embedded field experience tied to a language arts methods course was generally a positive influence leading to great self-efficacy. Further, the data compared similarly to research supporting the notion that embedded field experiences generally have the effect of strengthening preservice teachers’ self-efficacy. Looking at Bandura’s work in Self-efficacy: Toward a unifying theory of behavioral change, it shows that early interactions and successes will boost the self-efficacy of preservice teachers. This study found that successful experiences help preservice teachers value their embedded, school-based field experiences and help view it as something positive. Even if the experience had its difficulties, preservice teachers were able to learn from the situation and if they ever find themselves in a similar circumstance, they will feel more confident about handling things. Therefore, when these preservice teachers become in-service teachers, they will feel more confident about their abilities compared to in-service teachers who did not have similar experiences in their teacher preparation program.

This paper takes an autoethnographic approach in exploring the growth of an African American preservice teacher during internship. This research involved daily self-reflections from the preservice teacher and observations by the supervising teachers and university liaison in order to respond to the guiding questions of how the African American preservice teacher will find a need for her presence in the classroom. As a result of the procedure, the preservice teacher was able to make meaningful connections with all students but especially with African American students who benefit from having at least one African American teacher between grades three and five within public elementary schools (Gershenson, Hart, Lindsay, & Papageorge, 2017). Additionally, findings from the reflections hope to inspire more African Americans to consider the teaching profession.

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