This study investigated the extent to which elementary education mathematics methods courses exposed preservice teachers to research-based pedagogical practices grounded in cognitive science as well as best practices for mathematics instruction. A line-by-line content analysis of textbooks and course syllabi from ten teacher education programs within the State University System SUS) of Florida was completed. Evidence of the National Council of Teachers of Mathematics' (NCTM) eight high leverage Mathematics Teaching Practices (MTPs) was documented on the © Scoring Rubric for the National Council of Teachers of Mathematics' Mathematics Teaching Practices (MTPs), and Mayer's (2009) Science of Instruction Principles (SOIPs) were documented on © Scoring Rubric for Mayer's Science of Instruction Principles (SOIPs). Coding techniques were utilized to document the presence of additional theories of learning, instruction, and motivation. The results were reported using descriptive and inferential statistics, as well as relative and absolute color comparisons. Data analysis indicated that the Mathematics Teaching Practices were documented significantly more than the Science of Instruction Principles. The findings from this investigation may be used to inform textbook authors and teacher education faculty members as they develop future content for mathematics methods courses.

The purpose of this multiple comparative case study was to examine how professional development sessions based on the IQA Mathematics Toolkit rubrics influenced teachers' ambitious teaching practices, including approaches to selecting, adapting, and implementing high-cognitive demand tasks during small-group instruction in mathematics. Guided by the Instructional Quality Assessment (IQA) and the Mathematical Task Framework (MTF), this qualitative inquiry gathered data through informal interviews; participant portfolios of tasks, rubric scores, and student work samples; observation tools; and transcripts during weekly professional development sessions from two in-service elementary school teachers at a K-8 charter school in Florida. Two research questions drove this study: (a) What factors influence the selection, adaptation, and implementation of high-quality mathematical tasks for small-group instruction; and (b) In what ways are teachers' approaches to planning and implementing instruction impacted by using the IQA rubrics? Qualitative analysis of the data revealed five themes pertaining to the experiences of participants: (a) pressures from pandemic concerns; (b) perceptions of students' ability and motivation; (c) understanding of state standards and school prescriptions; (d) teachers' level of interest and exposure to outside distractions; and (e) level of experience. Teachers' approaches to high-quality tasks when mixed with heterogeneous grouping were found to best support opportunities for teacher change and provide students with opportunities to make sense of mathematics. Results show reflection of practice using the IQA rubrics can influence teachers' approaches to planning, adaptation, and implementation of tasks and support changes in classroom practice. Discussion of the findings in relation to the relevant literature, their implications, and recommendations for further research are provided. These findings add to the research in the field of mathematics education in equitable grouping strategies for small-group instruction, approaches to high-quality tasks to promote sense making in small groups and assessing ambitious teaching practices in mathematics.

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The focus of this research was to expand on existing literature by providing information on elementary school pre-service teachers' ability to contextualize fraction expressions and decontextualize fraction word problems. The elementary school pre-service teachers who participated in this study were enrolled in a mathematics for elementary school teachers content course in a college of education at a large university during the Spring 2016 semester. In this mixed-method study, the participants were given the Contextualization and Decontextualization of Fractions Instrument (CDFI) which assessed elementary school pre-service teachers' ability to solve fraction word problems and identify decontextualized fraction word problems into expressions and contextualized fraction expressions into word problems. The elementary school pre-service teachers were given the CDFI before and after they completed a unit on fractions. Of the 52 participants who completed both the pre- and post- CDFI, 11 were selected to participant in think aloud interviews in which they decontextualized fraction expressions from word problems and solved and contextualized fraction word problems from expressions. Quantitative results showed an overall statistically significant difference in the elementary school pre-service teachers' pre- and post- test scores. With the exception of two questions, all questions on the CDFI showed a statistically significant difference between the pre- and the post- test scores. No statistical significance was found in the responses to the question that required the elementary school pre-service teachers to identify the expression that matched the given fraction subtraction word problem. A large number of participants correctly identified the correct subtraction expression on the pre-test, and only slightly more of them were able to identify the correct subtraction expression on the post-test. No statistical significance was found in the responses to the question that required the elementary school pre-service teachers to explain their selection of a contextualized fraction multiplication expression. Though there was an increase in the elementary school pre-service teachers' ability to explain their selection of the contextualized fraction multiplication expression, it was not statistically significant. The qualitative analysis of the think aloud interview data showed that some of the elementary school pre-service teachers struggled with contextualizing fraction expressions. Most of the elementary school pre-service teachers did not struggle with solving the fraction word problems, but did struggle with decontextualizing fraction multiplication word problems.

The undergraduate microbiology lab serves an important role in establishing a foundation of best practices in aseptic technique and infection control for pre-medical, pre-nursing, pre-pharmacy, or pre-allied health students. The high incidence of hospital-acquired infections (HAIs) in the US and evidence in the literature of less effective implementation of proper aseptic technique among apprentice doctors and nursing students suggests that more effective transfer of learning could improve implementation of these procedures in the clinical setting. The research described in this study aimed to assess learning transfer as it applied to aseptic techniques and infection control skills learned in the undergraduate microbiology lab from pre- and post-lab formative assessments to midterm and lab practical summative assessments. Assisting students in building connections between the aseptic techniques learned in general microbiology and their application in the clinical setting through pre-lab formative assessments and reflective practices may lead to improvements in use of aseptic techniques and infection control measures as they progress into clinical careers and may ultimately reduce infection rates and mortality rates due to HAIs. The first major aim of this study was to explore the experiences of students with respect to learning transfer through qualitative analysis of student responses to post-lab free-response questions regarding difficulties faced in the lab and the relevance of microbiology to students' future careers. The second major aim of this study was to determine if the implementation of an in-class pre-lab formative assessment facilitates learning transfer as evidenced by significant improvements on summative lab midterm and final lab practical exam scores. Qualitative analysis of student responses to open-ended reflection questions indicated evidence of predominantly low-road transfer with respect to transfer of automaticity. Additionally, qualitative analysis of student responses indicated evidence of lateral transfer regarding transfer of complexity. Finally, there was evidence of an evolution from near to far transfer of context indicating that students were able to perceive the application of the knowledge gained in the microbiology lab in contexts similar to the lab as well as contexts outside of the lab. Evidence from student responses suggested that primarily students intending to pursue careers in healthcare fields were able to perceive specific applications of the microbiology lab to their future careers. Further, evidence from student responses suggested that students predominantly had difficulties with procedures, interpretation of results, manual dexterity with microbiological equipment and materials, and expressed the need to practice these procedures and techniques. Statistical analyses provided quantifiable evidence that the implementation of pre-lab quizzes had both a statistically significantly positive impact and a practically positive impact on lab practical final scores in both of the semesters studied as compared to historical control groups with a large effect size. The statistically and practically significant impact of the pre-lab quizzes on lab practical final exams is an important finding and will add to the current literature on the importance of formative assessment in undergraduate microbiology education.

The goal of this research study was to explore the nature of the relationship between engagement in model-eliciting activities (MEAs) and pre-service secondary mathematics teachers' (PSMTs') mathematical knowledge for teaching (MKT) algebra. The data collection took place in an undergraduate mathematics education content course for secondary mathematics education majors. In this multiple case study, PSMTs were given a Learning Mathematics for Teaching (LMT) pre-assessment designed to measure their MKT algebra, and based on those results, three participants were selected with varying levels of knowledge. This was done to ensure varied cases were represented in order to be able to examine and describe multiple perspectives. The three examined cases were Oriana, a PSMT with high MKT, Bianca, a PSMT with medium MKT, and Helaine, a PSMT with low MKT. Over the course of five weeks, the three PSMTs were recorded exploring three MEAs, participated in two interviews, and submitted written reflections. The extensive amount of data collected in this study allowed the researcher to deeply explore the PSMTs' MKT algebra in relation to the given MEAs, with a focus on three specific constructs—bridging, trimming, and decompressing— based on the Knowledge of Algebra for Teaching (KAT) framework. The results of this study suggest that engaging in MEAs could elicit PSMTs' MKT algebra, and in some cases such tasks were beneficial to their trimming, bridging, and decompressing abilities. Exploring MEAs immersed the PSMTs in generating descriptions, explanations, and constructions, that helped reveal how they interpreted mathematical situations that they encountered. The tasks served as useful tools for PSMTs to have deep discussions and productive discourse on various algebra topics, and make many different mathematical connections in the process.

Girls and women face several forms of gender-based biases and discrimination in the science community. These issues create difficult circumstances for them to develop positive science identities. Since these difficult circumstances exist, science education and sociology researchers have used a deficit model to learn about their experiences, achievements, and attitudes. Understanding the experiences of successful women in science offers insight into how women can navigate the challenges presented by the science community and how science educators can support them. However, research studies that explore the experiences of successful women in science are scant. Therefore, the objective of this study was to learn about the experiences of successful women who are professionals in science fields. Twelve participants engaged in three semi-structured interviews. Findings showed that participants had access to and support in authentic science experiences. They developed a passion for science that was supported by a self-selected support system. Advancement in workplaces that were often dominated by males required a sophisticated understanding of organizational norms. This advancement required strategic agency in how they spent their time and the relationships that they built. Two differences in experiences were found that were based on race. The first difference based on race was that Black and Hispanic participants experienced racial and ethnic discrimination. The second difference was that Black and Hispanic participants discussed the centrality of their faith to their work in every interview. These findings provide insight for the science community. Science methods instructors could educate pre-service teachers about how participants navigated gender-based challenges in science communities. Furthermore, the stories of these women could structure lessons that cover inclusion and equity. For industry, all employees should adhere to professional standards and mentors should be relatable to their mentees.

The purpose of this study was to find the effectiveness of digital storytelling technology integration through a project-based learning approach using digital stories combined with hands-on guided inquiry science lessons. As a teacher researcher, the focus was on the effectiveness in the performance of second-grade students using higher-order thinking science standards. For a period of ten weeks, the researcher through comparative action research investigated how emergent technology integration improved the performance of two second-grade classrooms implementing three higher-order thinking life science standards. A total of 27 students from two second-grade classrooms volunteered for this research. For the study, a pretest and posttest from Classroom A and Classroom B were utilized for the quantitative data analysis. A web-based rubric was created to assess the science digital story and student journals. The students also completed a self-assessment progression scale at the end of the study. The data collected showed an improvement in the performance of second-grade students using higher-order thinking science standards with technology integration.

On September 20, 2017, Hurricane Maria struck the island of Puerto Rico. The damage was extensive, and many people found themselves to be natural disaster refugees. As a result, schools in Central Florida saw an influx of new students who had their educations interrupted by the disaster and now were resuming school in a new language of instruction. These students not only faced linguistic challenges but also academic differences due to the high prevalence of poverty and the effects of neocolonialism in their previous schooling. This mixed methods study implemented an intensive intervention in probability to aid students in developing mathematical understanding and forming meaningful connections. Student participants, who had been affected by Hurricane Maria, were now attending a public high school and were paired one-on-one with a bilingual, mathematically high performing student mentor to complete culturally responsive, bilingual probability tasks. Data collection occurred over the course of six weeks in fall 2019. Both mentor and mentee students participated in focus group interviews, and the mentees completed a probability pre-test and post-test. Student participants were found to have statistically significant increases in the understanding of probability concepts when comparing pre-intervention and post-intervention results, with the understanding and usage of the multiplication rule showing the most significant improvement. Both mentors and mentees reported feeling a stronger sense of unity and belonging post-intervention as well as improvement in bilingual academic vocabulary. With the impact of natural disasters on the rise, implications of this study include its adaption to respond to future displaced students as they resume schooling post-interruption in Central Florida and beyond.