The purpose of this research is to explore preservice teachers’ attitudes and beliefs towards mathematics, mental and written computations, and mental computation anxiety, to investigate their use of different mental computation strategies using different approaches (i.e., Direct Teaching (DT) and Open-Approach (OA)) among the three different groups, and to identify how the use of preservice teachers’ mental computation strategies affects their flexibility regarding mental computation. The participants were preservice teachers (PTS). Three classes were used for this study: two classes in a mathematics class (Course A) for experimental groups and one class for the control group. One class from professional education courses was selected. A mixed methods design was used, more specifically, the Mathematics Attitude Survey (MAS) was administrated before and after intervention to examine PTS’ attitudes towards mathematics, mental and written computation, and mental computation anxiety. In addition, to determine whether there is any statistically significant difference among the three groups, the one-way analysis of variance (ANOVA) was used. Then, the MAS was analyzed descriptively. Next, a pre-and post-Mental Computation Test (MCT) was given to investigate PTS’ mental computation knowledge in relation to whole numbers, integers, and rational numbers (i.e., fractions, decimals, and percentages). A one-way analysis of covariance (ANCOVA) was conducted to determine if there were significant differences in mental computation performance among the three groups (i.e., DT, OA, and Control) with different instructions. Further, before and after intervention, face-to-face interviews were given to both the experimental and control groups to identify how they arrived at their answers. During interviews, 38 interviewees in the pre-interviews and 36 in the post-interviews for all groups participated. The interview items were selected from the pre-and post-MCT problems. Three levels of problems (i.e., high, medium, and low difficulty) for each operation were selected. The results of the MAS showed that with respect to the attitudes towards mathematics, PTS were generally shown positive attitudes towards learning mathematics and were aware of the importance of learning mathematics; however, in reality, about half of them did not want to spend time on learning or studying mathematics. In terms of PTS’ attitudes towards mental and written computation, PTS were aware that learning mental computation is more useful in real life situations and provides benefits in their mathematics learning. However, they do not feel comfortable and safe when using mental computation because of their lack of confidence and teaching abilities. For the mental computation, PTS showed slightly higher anxiety levels from pre-to post-tests. The findings of Mental Computation Test (MCT) revealed that there was a statistically significant difference in post-MCT scores between the different instructional groups when adjusted for pre-MCT scores. In particular, PTS using Open-Approach (OA) performed better than the PTS in the group using Direct Teaching (DT). The PTS in the control group performed worst. Significant differences between pre-and post-MCT performance were found among the three groups in solving multiplication, fraction, and decimal operations. The results of interviews suggest that there was an association between each interviewee’s quintile level and their flexibility in the use of the mental computation strategies. Regarding the whole number operation strategies, the results revealed that the interviewees in the middle and upper quintiles in both DT and OA used more than two different strategies with higher accuracy and were more likely to use the strategies. Interviewees in the middle and upper quintiles for the DT and OA groups were more likely to use the strategies that reflect efficient number facts or number-sense (e.g., Adding by place, Decomposing, & Compensation). The mental image of the Traditional method was frequently observed in the OA group. In contrast, for the lower quintiles, alternative strategies were not provided for both groups. The interviewees in the control group offered the smallest range of strategies. For the integer and rational operations, the interviewees in the DT group showed strategies that focused more on conceptual understanding. Surprisingly, the interviewees in the OA group were more likely to apply teacher-taught methods, including the Traditional method. The control group was not able to provide any alternative strategies. Plans for future research are set forth to add to the body of knowledge that exists regarding mental computation.

The purpose of the study was to better understand social studies teacher education through preservice professional development that incorporates an online gaming and simulation component. Examination of the impact of online gaming and simulations on the self-efficacy and content knowledge of preservice teachers in the methods course was undertaken. This study employed a mixed methods approach with primacy given to quantitative statistical analyses of data collected pre and post using a content knowledge assessment (AP Government and Politics practice test) and two self-efficacy assessments (SSTEBI-PSSTE and TSES). Results from a repeated measures ANOVA revealed statistically significant differences in preservice social studies teachers content knowledge of civics from pre to posttest administration by gaming status (less than 2 hours and 2 hours or more), testing occasion (pre and posttest), and group by occasion. The gains in content knowledge by participants spending 2 hours or more gaming were greater than the gains for those who spent less than 2 hours gaming. Qualitative analysis revealed themes of content knowledge change, gaming, and active learning in support of quantitative findings. Results from the repeated measures ANOVA on the TSES measure revealed no significant differences by gaming status, testing occasion, or group by occasion from pre to posttest. There was a minimal raw score change from pre to posttest with the participants who played 2 hours or more in iCivics showing slightly less growth in self-efficacy scores on the TSES in comparison to those playing less than 2 hours in iCivics. Results from the repeated measures ANOVA on the SSTEBI-PSSTE measure revealed a statistically significant main effect for testing occasion. Results showed no significant difference by gaming status or for the interaction of group by occasion. Qualitative data collected throughout the research study via interviews and document analysis aided in the explanation of the quantitative results. The present study extends previous research into the use of games to enhance educational experiences. It is clear from this research that the amount of time spent gaming has an effect on participants‘ content knowledge of civics and that online simulations are an effective teaching method.

The purpose of the study was to determine the validity and reliability of a revised observation and evaluation instrument of middle and secondary pre-service clinical teaching to be used as part of the clinical supervision cycle and for formative purposes. The North Texas Appraisal of Classroom Teaching (NTACT) serves as a performance assessment tool utilized by a south-central university-based educator preparation program for the evaluation and supervision of pre-service teachers during their last semester of their program. The researcher piloted and field-tested a redesigned observation and evaluation instrument (NTACT-V2) on observer participants with varying educational experiences in the south-central region. To accumulate evidence of validity and reliability, this study employed methods of factor analysis and generalizability study for developing a valid and reliable instrument to guide the refinement process of the NTACT observation and evaluation instrument. Some of the significant conclusions reached in this study were (a) the NTACT-V2 is a practical, user-friendly classroom observation and evaluation instrument; (b) the instrument refined and developed in this study exhibits appropriate content, face, and criterion validity as determined by a panel of experts and an extensive review of the literature; and, (c) a variety of observers can use the evaluation instrument with relative ease while achieving a high degree of reliability.

The purpose of my study was to determine if there are any differences in performance measures of student teachers with varying levels of participation in professional development schools. The population in my study was the 2002 through the spring of 2006 kindergarten through 6th-grade student teachers from a small, private postsecondary institution. A requirement of the teacher education program was to complete sequential, field-based experiences in kindergarten through 6th-grade schools culminating in student teaching. My study included kindergarten through 6thgrade student teachers who had experienced a number of semesters in a Professional Development School (PDS) classified into 4 levels: (a) 0 or 1 semester, (b) 2 semesters, (c) 3 semesters, and (d) 4 semesters of field experience in PDSs of partnership. Using analysis of variance procedures, the relationships between levels of participation in a PDS with each of 6 student performance measures were investigated. Several sources of data were used to evaluate the student teachers' performances. My study was based on the test results from 3 subtests of the PRAXIS II series examinations, the student teacher evaluation instruments, and the senior exit interviews. The performance evaluation scores were used to determine the knowledge, skills, and professional dispositions of every student teacher before graduating from the teacher licensure program at Lincoln Memorial University. Based on the analysis of the data and findings of my study, PDS field-based experiences appear to have no significant relationship with student teachers' PRAXIS II examination subtests scores, student teacher evaluation instrument scores, or their senior exit interview scores.

Lesson study is a form of professional development for teachers adopted in recent years from Japan. Introducing lesson study to U.S. teachers and researchers has been the focus of most of the literature on this subject. Much of the literature outlines how lesson study works and describes its essential features. One of the features of lesson study is anticipating student responses, also known as anticipating student thinking. Anticipating student responses is passingly described in lesson study literature. This research was conducted to understand what it means to anticipate student responses for preservice mathematics teachers in a lesson study group. Lesson study literature indicates that anticipating student responses is to anticipate conceptual development from the students' perspective, and the purpose is to be prepared to have meaningful discussions and questions to enable students to develop the understanding. Anticipating student responses is highly related to the hypothetical learning trajectory described by Simon (1995), the self directed anticipative learning model described by Christensen and Hooker (2000) and the expert blind spot discussed by Nathan and Petrosino (2003). While their work does not stem from lesson study, they add theoretical perspective to the idea of anticipating student responses. Their work indicates that anticipating student responses is difficult, valuable, that one gets better at it through experience, and that it is very useful in refining lessons. Participants were enrolled in the mathematics education methods class of a large private university in the U.S. A characterization of anticipating student responses was developed as the participants met in group meetings to create a lesson. They anticipated student responses in ways that facilitated lesson planning and task design. Participants did not anticipate student responses toward students' conceptual development. This research reports five particular ways that anticipating student responses was used as a tool to define and refine the lesson so that it ran smoothly toward lesson goals. These ways are related to: goals, tasks and materials, procedural mathematical reasoning, successful student efforts, and emotional responses. It is believed that anticipating student responses towards task design is a necessary precursor to anticipating student responses toward students' conceptual development.

The tasks with which students engage in their mathematics courses determine, for a large part, what students learn. Therefore, it is essential that teachers are able to design tasks that are worthwhile for developing mathematical understanding. Since practicing teachers seldom incorporate worthwhile mathematical tasks in their lessons, we would expect that they did not become proficient at designing worthwhile tasks while in their teacher education programs. This thesis describes a study that investigated what preservice secondary teachers attend to as they attempt to design worthwhile mathematical tasks. Three participants were selected from a course at a large private university where preservice teachers are taught and practice the skill of task design. This "Task Design" course was observed, and the three participants were interviewed to determine what they attend to while designing tasks. There were seven main characteristics that the main participants in the study attended to the most often and thought were the most important: sound and significant mathematics, reasoning, appropriateness, clarity, communication, engagement, and openness. How the participants attended to these characteristics is described. Some implications for teacher education, such as requiring preservice teachers to explain how their tasks embody certain characteristics, are given based on the results.

No description available.

The purpose of this study was to determine if first year teachers in Florida perceived they were adequately prepared by their preservice education programs to meet the National Educational Technology Standards for Teachers (NETS-T). The study was designed to gather data about first year teacher perceptions of personal technology proficiency and self-reported technology integration practices. The data were measured using the First Year Teacher Perceptions Related to Preparedness to Meet National Educational Technology Standards for Teachers (NETS-T) survey instrument. The sample (N=257) for this study was drawn from the population of Florida first year PreK-12 public classroom teachers from the 2005-2006 school year who were still teaching during the 2006-2007 school year. Demographic variables, perceptions of personal technology skills, and self-reported technology integration practices were collected on the sample. Descriptive and comparative statistics were used to identify relationships between the variables. It was concluded that first year teachers in Florida who held a professional teaching certificate or graduated from a Florida public university's teacher education program perceived they were better prepared to meet national educational technology standards than first year teachers in Florida who did not. It was also determined that there was a statistically significant relationship between first year teacher perceptions for preparedness for technology integration and their perceived personal technology skills, as well as between self-reported technology integration practices of first year teachers and their perceptions of their ability to integrate technology. Two additional findings came to light during the study. The majority of first year teachers in Florida did not take the traditional university teacher preparation program as their path to certification. Additionally, the vast majority of first year teachers in Florida gave credit to independent learning in increasing their own personal technology skills.

A classroom teaching experiment was conducted to document prospective teachers' development of whole number concepts and operations. The purpose of this mixed-methods study was to examine the collective understanding of prospective teachers in an elementary mathematics content course. Design research methodology, specifically a classroom teaching experiment was the methodology selected for this study since it allows learning to be documented in a classroom environment and is iterative in nature. A revised hypothetical learning trajectory and instructional tasks from a previous classroom teaching experiment were used in this study (Andreasen, 2006). Research about children's development of whole number concepts and operations was used in developing instructional learning goals. In addition, research regarding prospective teachers' development supported the instructional modification that all tasks would be presented and expected to be reasoned about in base-8. Both qualitative data and quantitative data were collected. Qualitative data included whole class dialogue that was videotaped and transcribed, as well as student work samples. Quantitative data included items from the Content Knowledge for Teaching Mathematics database that were administered prior to and subsequent to the instructional sequence in base-8 (Hill, Schilling, & Ball, 2005). It should be noted that the items selected from the database were in base-10. The emergent perspective served as the interpretive framework of the collected qualitative data. This perspective reflexively coordinates the social or group perspective simultaneously with psychological or individual perspective. As stated, this study sought to describe the communal mathematics understanding of prospective teachers in an elementary mathematics content course. Toulmin's (1969) model of argumentation and Rasmussen and Stephan's three-phase methodology served to document normative ways of group reasoning called classroom mathematical practices. The following classroom mathematical practices were identified as taken-as-shared by prospective teachers: (a) developing small number relationships using Double 10-Frames, (b) developing two-digit thinking strategies using the open number line, (c) flexibly representing equivalent quantities using pictures or Inventory Forms, and (d) developing addition and subtraction strategies using pictures or an Inventory Form. Quantitative results indicated that prospective teachers were able to apply mathematical understandings grounded in base-8 to whole number concepts in base-10. In the end, counting and calculating in base-8 provides a meaningful context for prospective teachers to reconstruct their knowledge of whole number concepts and operations.

Given current legislation to ensure education for students with disabilities and that institutions of higher education are required to use universal design for learning (UDL) principles, the purpose of this study was to explore the impact of video modeling on preservice teachers' knowledge, understanding and application of the three principles of UDL. Preservice teachers were randomly assigned to control or experimental groups to determine if video embedded with UDL principles impacted their thinking. Specifically, pre and posttest information of knowledge and understanding as well as self-perceived ability to teach students with disabilities using UDL was analyzed. In addition preservice teacher created lesson plans were analyzed for application of UDL principles after viewing the video intervention. Quantitative analyses were conducted to compare pre and posttest scores of the control group (n = 41) and experimental group (n =45). The quantitative analyses of knowledge, understanding