In this inquiry I used Black Feminist Thought as the interpretive lens to investigate the characterizations and experiences of high achieving Black women undergraduate engineering and mathematics majors at a predominantly white institution. The qualitative inquiry considered intersecting oppressions to evaluate the experiences of this population. In particular, Black women operate in the intersection of race and gender, thus for a thorough analysis of their engineering and mathematics experiences to occur, the historical context of the United States and its oppressive structures must be considered. Stereotypes and systemic oppression follow this socially constructed identity as the participants enter the fields of engineering and mathematics as Black women. In order to develop relevant suggestions to increase the participation of this population in the field, I assert that the social construction of this intersectional identity must be considered. I evaluated the participants' experiences to determine its influence on their academic persistence and overall well-being. I implemented sista circle methodology, an ethnographic method that embodies a gender specific research methodology. Sista circle methodology expands beyond traditional methodology to draw on social relations, the wisdom of Black women in U.S. context, and functions as a medium for mentorship as a Black feminist practice. The data I collected as part of this study included a demographic survey, pre-interview, two sista circles, vision board collage, post-sista circle electronic reflection, "sista circle" alternative interview, and member checking. There were five participants in this study, and three of these participants engaged in the sista circle unity getaway and the remaining two participants completed the sista circle alternative interview. I analyzed the responses of all five participants in the interviews and sista circles to identify themes that emerged in this study. Eight themes emerged from the data: The first finding presented normalized policies and practices that reproduced an unwelcoming academic climate and specifically, 1) access to caring professors and the 2) competitive isolating environment. The academic climate forced the participants to negotiate self-doubt as they question if their program is the appropriate means to pursue their future career endeavors, in the second finding the participants experienced 3) variations in program expectations and reality, 4) a shift in academic self-concept, and 5) negotiated alternatives to persistence. In the third finding the participants responded to the conditions in the academic climate through forms of resistance, which include the construction of a 6) professional persona, 7) sense of community and peer bonds, and identifying 8) academic opportunities as motivational tools.

The present study had two main objectives. The first was to determine the degree of understanding of climate change, sea level and sea level rise among middle school students. Combining open-ended questions with likert-scaled questions, we identified student conceptions on these topics in 86 students from 7th and 8th grades during 2012 and 2013 before and after implementing a Curriculum Unit (CU). Additional information was obtained by adding drawings to the open-ended questions during the second year to gauge how student conceptions varied from a verbal and a visual perspective. Misconceptions were identified both pre- and post-CU among all the topics taught. Students commonly used climate and climate change as synonyms, sea level was often defined as water depth, and several students failed to understand the complexities that determine changes in sea level due to wind, tides, and changes in sea surface temperature. In general, 8th grade students demonstrated a better understanding of these topics, as reflected in fewer apparent misconceptions after the CU. No previous study had reported such improvement. This showed the value of implementing short lessons. Using Piaget’s theories on cognitive development, the differences between 7th and 8th grade students reflect a transition to a more mature level which allowed students to comprehend more complex concepts that included multiple variables. The second objective was to determine if the frequency of sea level maxima not associated with tides over the last 100 years increased in two tide gauges located on the two extremes of the Panama canal, i.e. Balboa in the Pacific Ocean and Cristobal in the Caribbean Sea. These records were compared to time series of regional sea surface temperature, wind speed, atmospheric pressure, and El Niño-Southern Oscillation (ENSO), to determine if these played a role as physical drivers of sea level at either location. Neither record showed an increase in the frequency of sea level maxima events. No parameter analyzed explained variability in sea level maxima in Cristobal. There was a significant correlation between the zonal component of the wind and sea level at Balboa for the early record (r=0.153; p-value0.05). There was a clear relationship between sea level maxima and ENSO. 70% of the years with higher counts of higher sea level events corresponded to El Niño years. A randomization test with 1000 iterations, shuffling the El Niño years, showed most of these randomizations grouped between 14-35% of the events occurring during a randomized El Niño year. In no iteration did the percentage of events that occurred during El Niño years rise above 65%. The correlation with zonal wind and the probable correlation with sea surface temperature can be linked via ENSO, since ENSO is associated with changes in the strength of the Trade Winds and positive anomalies in the sea surface temperature of the tropical Pacific Ocean.

ABSTRACT Public views on assigning students mathematics homework have been controversial. Although homework is designed for students to complete during non-school hours (Cooper, 1989), many see homework as excessive pressure on students. Most research placed their focus on the influence of the time spent on homework or the amount of homework on student achievement. Few studies have addressed the impact of types of mathematics homework. The purpose of this study is to examine the role of homework types in influencing opportunity to learn (OTL) on student achievement. This quantitative study used subsets of a large existing dataset collected by University of Chicago School Mathematics Project (UCSMP) in Pre-Transition Mathematics, Transition Mathematics, and Algebra. The findings showed that OTL measured by lesson coverage and by teachers’ reported posttest OTL have significant impact. Each type of homework as a mediator might have significant, positive or negative mediating effects or no mediating effects at all. The findings from having OTL measured by lesson coverage as the independent variable were more consistent with each mathematics course. The differences of the mediating effects of types of homework on the impact of OTL measured by lesson coverage on student mathematics achievement and on the impact of teachers’ reported posttest OTL on students’ mathematics achievement may be explained through the nature of the types of homework as well as through limitations of the study. Recommendations for future research and implications of the study were presented in the discussion part of the study.

Visualization in mathematics can be discussed in many ways; it is a broad term that references physical visualization objects as well as the process in which we picture images and manipulate them in our minds. Research suggests that visualization can be a powerful tool in mathematics for intuitive understanding, providing and/or supporting proof and reasoning, and assisting in comprehension. The literature also reveals some difficulties related to the use of visualization, particularly how illustrations can mislead students if they are not comfortable seeing concepts represented in varied ways. However, despite the extensive research on the benefits and challenges of visualization there is little research into what types of figures students are exposed to through their textbooks. This study examines 14 high school geometry textbooks in total, comprised of eight physical textbooks from the top three major textbook publishers in the United States and six FlexBooks created by a non-profit organization developing free and customizable textbooks online. In each textbook the printed images from four topics were classified: Parallel Lines and Transversals, Classifying Triangles, Parallelograms, and Trapezoids. The ‘typical’ images in each of the four topics were defined and the percentages of images that were typical for each textbook in both the lesson and exercise portions were calculated. Results indicate that lesson portions of sections generally contain more typical images than exercise portions and that the total percentage of typical images in an average section varies from 51.9% typical images in the Parallel Lines and Transversals section to 75.2% typical images in the Trapezoid section. Based on these results we list possible avenues for further research in this area.

Climate change science is complex and controversial in nature, yet seen by educators and policy makers as an important topic to be taught within secondary science education. This is becoming increasingly evident with the inclusion of climate change into the Next Generation Science Standards (NGSS) for Earth and Space Sciences as well as Life Science courses (NGSS, 2013). An overwhelming amount of information is available to students; however, it is often misrepresented, politically inflated and falsified, and littered with misconceptions (Dawson & Carson, 2014; Gayford, 2002). It is critical to engage students in discourse that challenges them ethically in order for students to become more informed citizens, be able to develop skills necessary to take part in democratic discourse, and cultivate resolution (Gore, 1999; Lockwood & Harris, 1985; Reitano, Kivunja, & Porter, 2008) Teacher’s personal beliefs about the instruction of climate change within science education are unclear (Gayford, 2002). The presence of controversy can influence teachers’ instructional decisions and cause confusion about the science of climate change and many teachers may fear objection from community members (Maibach, Roser-Renouf, & Leiserowitz, 2008). Therefore, we must consider the role of teachers’ beliefs when examining their classroom instruction (Kagan, 1992; Nespor, 1987). This research study examines the complex nature of science teacher beliefs about climate change, their instructional practice in the marine science classroom, and the impacts on student outcomes. The study takes place within four marine science classrooms over the course of one semester. The teachers taking part in the study and their respective students are representative participants of the greater school district. The purpose of this study was to better understand teachers’ understandings and beliefs about climate change, and how individuals feel their beliefs impact instructional practices. Teacher and student data were collected from classroom observations, surveys, interviews, and a comprehensive midterm exam of the content. The qualitative and quantitative data collected were analyzed and compared through a fully mixed methods approach by which the findings of both types of data were compared and contrasted to triangulate findings. Findings from the study suggest teachers have strong beliefs about the causes and implications of climate change, they have high levels of concern for the impacts it will have on future generations, and value the topic as a necessary component of science education. However, this study revealed the controversial nature of the topic, current political climate, and potential resistance from stakeholders inhibited teachers from espousing these beliefs within their instruction of the curriculum. Results from the study found teachers’ personal beliefs had essentially no impacts on their classroom instruction or resulting student outcomes

American students no longer lead the world in quantitative skills. This decline in mathematical ability has potentially significant negative national and personal consequences. Math anxiety, low self-efficacy in relation to math, and a sense of hopelessness about math are all possible barriers to being successful in learning and using math, not only in school but ultimately in many aspects of adult life. The purpose of this study was to examine the relationships between hope, expectation, math anxiety (positive and negative affect related components), and students’ final course scores in College Algebra within the context of an instructional strategy intended to improve student achievement and reduce math anxiety. Data were collected from 214 College Algebra students in 12 different classrooms, taught by five instructors using this strategy. These data were analyzed using multilevel modeling. Within the context of the study, the scores students hoped to earn and pre-course negative affect related math anxiety subscores did not significantly influence their final course scores. However, the scores students expected to earn and positive affect related math anxiety subscores did impact final course scores. Scores students hoped to earn at the beginning of the course were significantly related to total math anxiety as well as positive and negative affect related math anxiety subscores at the end of the course. Classroom average attitudes, including averages of scores students hoped to earn, scores students expected to earn, and math anxiety scores were significantly related to post-course positive and negative affect related math anxiety subscores and total post-course math anxiety. The number of students indicating that they enjoyed math and would like to take more math classes in the future was higher at the end of the course than at the beginning. Fewer students disagreed with every negative affect related item on the instrument at the end of the course than did at the beginning, indicating improving affect. Instructional strategies similar to the one used in this study may provide a rich context for supporting student achievement and improving attitudes towards math in College Algebra. The results of this study may help inform the work of practitioners through improved understanding of the impact and interactions of hope, expectation, math anxiety, classroom attitudes, and achievement.

The aim of this study was to investigate the effectiveness of a game-based app (Motion Math: Fraction) to help students with Mathematics Learning Disabilities (MLD) to gain fraction skills including comparison, estimation, and word problem solving in an after school program. The researcher used multiple baseline design by extending with follow-up phase to determine whether students retained the knowledge they learned while engaging with the app. Even though six students participated to the study, the researcher withdrew two of them and analyzed data came from four students. The result o the study showed that all of the students improved their fractions skills after engaging with Motion Math: Fraction and maintained the knowledge after no longer playing. The researcher presented recommendations for further studies, for implementation into classroom, and recommend for app developers to increase app efficiency for students who have different learning profiles, and needs variety learning materials while learning the content matters.

This study is an examination and evaluation of the outcomes of a series of courses that I helped build to create a graduate certificate. Specifically, I wanted to evaluate whether or not the online iteration of the Informal Science Institutions Environmental Education Graduate Certificate Program truly provided the long term professional development needed to enhance the skills of the formal and informal educators participating so that they could contribute meaningfully to the improvement of science literacy in their respective communities. My role as an internal evaluator provided an extraordinary opportunity to know the intent of the learning opportunities and why they were constructed in a particular fashion. Through the combination of my skills, personal experiences both within the certificate’s predecessor and as an educator, I was uniquely qualified to explore the outcomes of this program and evaluate its effectiveness in providing a long-term professional development for participants. After conducting a literature review that emphasized a need for greater scientific literacy in communities across America, it was evident that the formal education enterprise needs the support of informal educators working on the ground in myriad different settings in ways that provide science as both content and process, learning science facts and doing real science. Through a bridging of informal science educators with formal teachers, it was thought each could learn the culture of the other, making each more fluent in accessing community resources to help make these educators more collaborative and able to bridge the classroom with the outside world. This bridge promotes ongoing, lifelong learning, which in turn can help the national goal of greater scientific literacy. This study provided insight into the thinking involved in the learners’ growth as they converted theory presented in course materials into practice. Through an iterative process of reviewing the course generated content, I was able to piece through the many layers of this two year long program to examine the growth of these individuals over time. While all participants showed growth completing the certificate program, those who could fully invest themselves in the experiences seemed to have gained the most. These cases indicate the Informal Science Institutions Environmental Education Graduate Certificate Program was effective at enhancing the careers of formal and informal science educators. Additionally, it suggests informal science educators, although busy with their professional obligations and personal lives, can be successful in a formal graduate program designed to meet ISE needs as explicated in Learning Science in Informal Environments: People, Places, and Pursuits (Bell, Lewenstein, Shouse, & Feder, 2009). The emergent model indicating connections among a person’s personal life, professional life, and graduate study may also have implications for other professionals desiring to enroll in graduate school. For example, science teachers in university graduate programs may also benefit from applying this model to their lives.

Throughout the history of teacher education, the final fieldwork experience has often been called the single most influential experience in teacher preparation programs (Burns, Jacobs, & Yendol-Hoppey, 2016; Feiman-Nemser & Buchmann, 1986; Parker-Katz & Bay, 2008). Though this experience has been expanded to include fieldwork experiences throughout many teacher education programs (Guyton & McIntyre, 1990), the final fieldwork experience remains the closing activity and the lasting image of teacher preparation (Feiman-Nemser & Buchmann, 1986; Rosaen & Florio-Ruane, 2008). Given its importance, though, researchers know relatively little about it. “The knowledge thus produced is akin to the quantum theory of physics; we know what goes in . . . and what comes out . . . but not what occurs in the interim” (Guyton & McIntyre, 1990, p. 524). Given the current reforms in mathematics education and mathematics teacher education (National Council for the Accreditation of Teacher Education, 2010; National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010), Guyton and McIntyre’s observation is still relevant today. During the final fieldwork experience, university-based and school-based mathematics educators must work together on behalf of the novice to marry university-promoted theory (especially reform-oriented theory) with the practical classroom expectations of day-to-day teaching life. Though there is much research on how this kind of work should be done and the dilemmas that have arisen during fieldwork (e.g., Knight, 2009; Loughran, 2006; Nolan & Hoover, 2004; Sergiovanni & Starratt, 2006; Sullivan & Glanz, 2013), we have little information about the experiences of the mathematics educators who collaborate during final fieldwork. Furthermore, we have very little information on how these educators navigate mathematics reforms to prepare teachers of mathematics. This multi-case study was designed to investigate three novices, their school-based mentors, and their university-based mentor (me) who collaborated during a year-long final fieldwork experience at the close of a middle school mathematics teacher preparation program. To write single case reports that illuminated our collaborative experiences, I wrote the “stories” of each triad. To collect these stories, I used individual and group interviews, paired conversations, asynchronous text interviews, conference observations, collaborative fieldwork artifacts, my own practitioner-researcher journal, and three cycles of participant member checks. After verifying the veracity of the stories of each triad, I engaged in cross-case analysis to make assertions about the commonalities and unique circumstances that defined these fieldwork cases. This study adds to teacher preparation fieldwork literature by evoking a response from educators working in the field and providing them with examples of open dialogue that created more empathetic collaborative experiences. The study also provides evidence that the empathy generated by sharing stories can create more productive and effective learning experiences for the novices involved. In particular, open dialogue provided the collaborators in these cases with a platform for acknowledging pedagogical differences, negotiating fieldwork expectations, and setting and meeting novices’ professional goals. For future investigations of teacher preparation fieldwork collaboration, this study provides evidence that a practitioner approach to research affords the researcher exceptional access to the stories of novices and mentors and establishes empathetic bonds that can make the telling of those stories both illuminating and respectful of the voices they represent.

A perennial goal of environmental education is to produce a scientifically literate citizenry capable of negotiating and resulting complex environmental problems. Popular methods of environmental education instruction tend to overemphasize scientific content knowledge and neglect to consider ethical and moral aspects of the problem. This qualitative study examines the longitudinal association between an experiential environmental education course infused with SSI instruction and students’ environmental behaviors. The results indicate that several students’ conceptualizations of contentious environmental issues change after completing the course and specifically. Furthermore, students’ willingness to act to resolve contentious environmental issues was most closely associated with their environmental behaviors. The most significant theoretical implication of the study is the effectiveness of the SSI framework in authentic experiences. Additionally, this study supports the notion that SSI instruction in authentic experiences is an effective alternative approach to teaching environmental education.