AN EXAMINATION OF STANDARDS-BASED PRACTICES IN COLLEGE ALGEBRA IN THE FIRST TWO YEARS OF COLLEGE

by

Laurn Reye Jordan

Instructional practices in mathematics courses at two-year colleges include lecture as the predominant instructional form in 78% of two-year colleges, with class sizes averaging about 26 students (AACC, 2005). The National Assessment of Educational Progress (NAEP) indicates that there is a need for change in the practices of mathematics teachers because students are not being served well by the traditional pedagogical approaches (Burrill & Hollweg, 2003). The standards-based reform movement has had a positive impact on pedagogy but there are ongoing issues of alignment of teaching strategies to more student-centered practices (Barrington, 2004).

This study examined the standards-based teaching practices of college mathematics faculty in the first two years to answer the research questions: What alignment exists between two-year college mathematics instructor’s knowledge and the instructional standards published by the American Mathematical Association of Two-Year Colleges in Beyond Crossroads? What are the components that characterize the instructional practices of two-year college instructors? What relationship exists between the alignment of Two-Year College mathematics faculty instructional practices with Beyond Crossroads? An interpretative qualitative methodology with an embedded survey was applied to examine how the American Mathematical Association of Two Year Colleges standards are currently being aligned with instruction in the first two years of college.

An analysis of the data revealed that standards-based teaching strengthens instructor delivery and accommodates diverse learning styles. Mathematics faculty use technology as a teaching tool and use a variety of student-centered activities to engage students to help them make meaningful connections. Findings from the study suggest there exist a strong relationship between the American Mathematical Association of Two Year College standards and instructor practice in the first two years. The findings indicate that mathematics faculty struggled in changing their instructional practice to meet the needs of their students. Furthermore, findings suggest that those invested in the mathematics education in the first two years constantly adjust their teaching through professional development opportunities. Additionally, mathematics faculty modified the curriculum to customize their instruction to align with standards-based teaching practices as their knowledge and awareness of standards develops as a professional.

Data sources included interviews, observations of significant gaming (that is gaming in heightened states of enjoyment and success), observation de-briefs, co-analysis interview, and a research journal. The researcher coded observational data for elements of symbiotic flow and in response to interview data. Data are presented in narrative, expository, and graphic forms across the study. This inquiry has resulted in the creation of the Model of Nested Transaction in order to articulate and understand the nature of significant gaming experiences. Additional significant findings include: a) Time is the primary resource and commodity in this particular player's elite gaming world, because it represents a level of dedication and insider status; b) this gamer values particular affordances in his gaming, namely experiences that develop knowledge and skills that can then be applied instantaneously in gaming contexts and be harnessed for longitudinal participation; c) video games provide the participant, and gamers like him, with possibilities for greatness, an aspect of his identity that is both critically important to him and often strikingly absent outside of games. The study argues for productive consideration of video games as a mediational tool of both meaningful learning and powerful identity exploration.

UNHERALDED HISTORIAN: MARY SHELDON BARNES AND PRIMARY SOURCE MATERIAL IN HISTORY BOOKS

by

James A. Chisholm, Jr.

In the latter part of the nineteenth century, Mary Sheldon Barnes emerged as a leading historical methods professor and history textbook author. Although men dominated the field, she wrote several articles and books alone or with her husband Earl Barnes about primary source materials and teaching. She lived during an era in United States history when education was evolving. Students studied traditional subjects such as grammar, mathematics, and Latin using rote memorization. Students who failed to learn classroom material faced varying degrees of punishment from teachers. Classroom pedagogy in the nineteenth century was teacher-focused and teachers often employed a considerable amount of physical fear.

Mary Sheldon Barnes developed her pedagogy and writing style using scientific history and German seminary style classrooms. As a teacher, she taught in a normal school, gender specific college, and a co-educational institution of higher learning and these experiences impacted her pedagogy. Barnes rejected the regimented, teacher-centered, memorization/recitation pedagogy of the nineteenth century. She preferred a teaching style that provided more student-centered, discussion-oriented history pedagogy.

This study utilizes biography as a format to explore Mary Sheldon Barnes as a pioneer teacher and author. Following her death, history textbook authors turned away from source material textbooks back to traditional chronological design and ignored her contributions to social education history. This dissertation provides an examination of her life and explores its influence on contemporary textbooks and pedagogy.

The following questions guided the study:

1. How do novice library media specialists describe their professional identities?

a. How does personal history inform the construction of professional identity of novice library media specialists?

b. How do novice library media specialists negotiate identity within the figured worlds of public K12 schools?

The four participants were first year LMSs recruited from a large urban school district in the southeastern United States. Data collection took place over the course of the 2011-2012 school year and included in-depth interviews, document analysis, journal responses, and observations. Findings indicate that the figured worlds in which novice library media practitioners begin their careers are often shaped by the experiences that faculty, administrators, and students have had with previous LMSs and bear significant influence on the identities afforded new LMSs as well as their own experiences with LMSs prior to their preparation programs.

The purpose of this study was to explore novice teachers’ cognitive processes, particularly video-aided schematization and theorization (VAST), which is a set of cognitive processes that help novice teachers construct, restructure and reconstruct their professional knowledge and pedagogical thinking while reflecting on videos of their own teaching. The researcher measured novice teachers’ VAST by examining their schema construction and automation in terms of schema accretion, schema tuning and schema restructuring. The study attempted to answer the following questions: a) What is the focus of novice teachers’ video-aided reflection? and b) How do novice teachers connect the focus of their reflections to their prior knowledge and future actions?

The findings indicate that video-aided reflection could help novice teachers (1) notice what was needed to improve in their teaching practice, (2) realize how various elements in teaching were interrelated, and (3) construct, restructure, or reconstruct their professional knowledge – in other words, develop their schemata about teaching and learning through VAST. With a more developed and mature schemata, novice teachers could be able to better understand the various elements involved in teaching and learning, and handle the situations they encounter in their teaching. This may be because people’s schemata can provide the link between concepts and patterns of what they do (Rumelhart, 1980).

This research has provided a new way to look at novice teachers’ video-aided reflection: how the cognitive processes they experience during their reflection can help them develop the knowledge about teaching and learning, and how their cognitive development can help them grow toward becoming teaching experts. The research findings add to the knowledge base about the use of video technology in teachers’ self-reflection and professional development in teacher education.

NEEDS OF DIVERSE STUDENTS WITHIN

A TEACHER STUDY GROUP

by

Megan A. Nason

According to Birchak, Connor, Crawford, Kahn, Kaser, Turner, & Short (1998), Fang, Fu, & Lamme (2004), Kennedy & Sheil (2010), and Wiliam (2008), teacher study groups can provide a supportive and collaborative professional development environment. The purpose of this study was to examine the professional development experiences of three third grade teachers working with culturally, linguistically, and economically diverse (CLED) students in a high-needs school as they participated in a teacher study group. The adoption of national standards and pressures for all students to achieve high standardized test scores in math and reading due to Adequate Yearly Progress (AYP) requirements mandated by the No Child Left Behind Act (2001) resulted in increased stress, anxiety, and uncertainty for the teachers participating in this study. The following research questions guided this qualitative, ethnographic case study: (1) In what ways does participation in a teacher study group impact elementary teachers’ knowledge, beliefs, and understandings when teaching culturally, linguistically, and economically diverse students in a high-needs school? (2) In what ways do teachers’ literacy practices shift as a result of engaging in teacher study groups focused on issues related to culturally, linguistically and economically diverse student populations? Bronfenbrenner’s (1979; 1994) ecological models, Vygotsky’s (1978; 1986) sociocultural theory, and Ruddell and Unrau’s (2004) sociocognitive reading model served as theoretical frameworks that informed this naturalistic inquiry. Through constant comparative analysis (Glaser and Strauss, 1967) of data collected through pre- and post-interviews, bi-weekly teacher study group meetings, and classroom observations, the teachers’ knowledge, beliefs, and understandings about how culturally, linguistically, and economically diverse (CLED) students learn and develop literacy skills were explored. The findings of this study demonstrate how teacher study groups can provide teachers with a safe space to build trusting relationships so that they can discuss school and classroom-related uncertainties, vulnerabilities, frustrations and successes. Shifts in enacted curriculum, instruction, and beliefs occurred as the teachers in this study attempted to negotiate their beliefs about how CLED children learn through engaging in conversations related to integrated curriculum, higher-order thinking, inquiry-based learning, literacy instruction, literacy development, and the diverse needs of their students.

LINKS AND DISCONNECTS BETWEEN THIRD GRADE TEACHERS’ BELIEFS, KNOWLEDGE, AND PRACTICES REGARDING NONFICTION READING COMPREHENSION INSTRUCTION FOR STRUGGLING READERS

by

Nicole P. Maxwell

In the current era of accountability, U. S. teachers face strict demands from No Child Left Behind (NCLB) to ensure that all students’ reading achievement meets the requirements of their respective grade levels (Coburn, Pearson, & Woulfin, 2011). These demands are especially stressful when teachers have students who struggle with reading. Regrettably, many students grapple with reading difficulties, particularly with comprehending fiction and nonfiction texts (Allington, 2011).

The purpose of this study was to examine the beliefs and understandings three third grade teachers held concerning nonfiction reading comprehension instruction for struggling readers and how these beliefs and knowledge influenced their pedagogical practices. This qualitative, interpretive case study examined their beliefs using the theoretical lenses of epistemology (Crotty, 2007; Cunningham & Fitzgerald, 1996; Dillon, O’Brien, & Heilman, 2004; Magrini, 2009), social constructivism (Vygotsky, 1978), transactional theory of reading (Rosenblatt, 1994), and the sociocognitive interactive model of reading (Ruddell & Unrau, 2004). The following research questions guided this inquiry: (1) How do third grade teachers support struggling readers when navigating nonfiction texts? (2) What are these third grade teachers’ beliefs and understandings about struggling readers? (3) How do these beliefs influence the third grade teachers’ pedagogical practices with struggling readers? Data collection lasted for five months and involved interviews, classroom observations, teacher debriefs, and the collection of artifacts, including DeFord’s (1985) Theoretical Orientation to Reading Profile (TORP). Data analysis was conducted using the constant comparative approach (Glaser & Strauss, 1967). The findings in this study revealed links and disconnects between the accommodations teachers believed their struggling readers needed and what they actually provided their struggling readers. These teachers faced pressures of time constraints and a focus on testing, which affected their pedagogical practices. Furthermore, they demonstrated a reliance on content area textbooks and dissatisfaction with the accessibility of nonfiction materials. These findings highlight the need for pre-service and in-service teachers to have access to quality nonfiction materials to use in the classroom and instruction on how to provide nonfiction comprehension instruction to their struggling readers.

1. Does the Southeastern State University System have a primarily transformational or transactional orientation?
2. What are the key change facilitating factors within the Southeastern State University System?
3. What are the key change restraining factors within the Southeastern State University System?

The key change facilitating factors identified as part of the first phase of the study included: motivation to change, job/task requirements and organizational culture supportive of change. The perspectives of the administrators regarding facilitating factors differed, as did views on if the organizational culture was supportive of change. The CIO interviewed described a variation in perspectives regarding online learning based on institutional categories and missions, which was reflected in the interviews. The key change restraining factors were identified during the survey phase of the study as: change related systems, emotional impact of change and change mission and strategy. Financial incentives, both for the institutions and the individuals involved in online or blended activities was identified in the interviews. However, the CIO interviewed outlined a perspective that the funding model for collaborative programs in the university system was flawed. A perceived lack of change mission strategy was common through the interviews, with signs pointing towards improvement within the system, with a new focus on online learning as part of an initiative to have more college graduates within the state. This study provides a snapshot of the state of a university system as it adapts to the changing environment of higher education. The study describes the application of an established organizational change and development model to the study of online learning, which provides future researchers with a framework to investigate online learning at a university system level.

Framed within a sociocultural lens (Vygotsky, 1978), this action research study (Schmuck, 2006) examined how high school content area teachers engaged students in reading content material as they implemented literacy strategies to support students’ access to content. Guiding this study were the following questions: (a) How do content area teachers define and perceive literacy and specifically define literacy in their content area? (b) How do teachers use literacy strategies they learn in professional development sessions? (c) Is there a benefit when a literacy specialist and a content area teacher collaborate to design literacy instruction?

Participants in this study included three content area teachers: a math teacher, a business teacher, and English teacher. Data collection occurred throughout the spring term 2012 in the school where the participants work. Data sources included semi-structured interviews, observations, discussions generated from collaborative planning sessions with the researcher, informal debriefings with participants, and a researcher journal. Themes abstracted from the data were (a) teachers’ definitions of literacy did not change over the course of the study, (b) their disposition toward use of strategies did change over the course of the study, and (c) collaborative, embedded professional development between the content area teacher and literacy specialist was an important factor in changing disposition. This action research study emphasizes a need for literacy specialists in schools and embedded, ongoing professional development, and informs literacy specialists how content area teachers can be supported as they engage students in reading content material.

Two important findings were that only one of the eleven students knew what to expect from the program; and that completers were more likely to report that their primary motivation for pursuing the Ph.D. was for personal satisfaction. Recommendations were made based on student feedback, and included implications for students as well as implications for the university/program. Examples of advice for students were: 1) contemplate their goal(s) in pursuing the Ph.D. and consider the impact if something happened to alter that goal, and 2) seek out doctoral support groups and begin to establish relationships with current members. Two selected recommendations for the university/program were 1) develop a pre-application seminar or eLearning module to provide potential doctoral students with a realistic understanding of the program, and 2) consider developing a mentoring program that matched more experienced students or non-advisory professors to new students.

Results of the study indicated that multiple factors affected both completers and non-completers; and these factors were often similar. However, among the key factors separating completers from non-completers were the determination of the student and the quality of the advisor relationship.

STANDARDS-BASED INSTRUCTION: A CASE STUDY OF

A COLLEGE ALGEBRA TEACHER

by

Anthonia Ekwuocha

The lecture method has dominated undergraduate mathematics education (Bergsten, 2007). The lecture method promotes passive learning instead of active learning among students, thus contributing to attrition in undergraduate mathematics. Standards-based instruction has been found to be effective in reducing students’ attrition in undergraduate mathematics (Ellington, 2005). College algebra is gatekeeper for higher undergraduate mathematics courses (Thiel, Peterman & Brown, 2008). Research indicates that if college algebra is taught with standards-based teaching strategies, it will help reduce students’ attrition and encourage more students to take higher level mathematics courses (Burmeister, Kenney, & Nice, 1996). Standards-based instructional strategies include but are not limited to real life applications, cooperative learning, proper use of technology, implementation of writing, multiple approaches, connection with other experiences, and experiential teaching (American Mathematical Association of Two-Year Colleges (AMATYC), 2006).

Despite all effort to improve undergraduate mathematics instruction, there are still limited empirical studies on standards-based instruction in college algebra. Research in undergraduate mathematics education is a new field of study (Brown & Murphy, 2000). Research reported that overall students’ attrition in college algebra could be as high as 41% in a community college (Owens, 2003). This high attrition rate in college algebra may impact students’ continuation in higher mathematics courses and their interest in the field of mathematics. As a result more research efforts must be focused on ways to improve college algebra instruction. Thus, the purpose of this study was to explore the teaching practices of a college algebra teacher who adopts standards-based techniques in his classroom. The research questions that guided the study were: What teaching practices are used in the mathematics classroom of a college algebra teacher? How are the teaching practices of the teacher aligned with the characteristics of standards-based instruction?

The participant of the study was a college algebra teacher who was identified as a standards-based teacher. The teaching practices of the teacher were analyzed and presented using a qualitative single case study method. Data were collected from interviews with the teacher, classroom observations, and artifacts. The research project was drawn from the frameworks of culturally relevant pedagogy theory, symbolic interaction theory, experiential teaching theory, and standards-based instruction.

Analysis of the data showed that the teaching practices of the participant were mathematical communication, proper use of technology in instruction and assessment, building mathematical connections, multiple representations, motivating students to learn mathematics, and repetition of key terms. The teaching practices aligned with the characteristics of standards-based instruction. Findings from the study suggest that standards-based instruction strategies should be used in undergraduate mathematics education, especially in teaching college algebra to alleviate some of the problems. Moreover, university administrators at college level should organize workshops and professional development about standards-based instruction strategies for their teachers.

“MUSIC IS WAITING FOR YOU:” THE LIVED EXPERIENCE

OF CHILDREN’S MUSICAL IDENTITY

by

L. Michelle Mercier-De Shon

This phenomenological study of lived experience (Van Manen, 1990) explored the perspectives of four 4^th grade children as they live in and live through music to formulate their musical identities. Framed within perspectives of symbolic interaction theory (Blumer, 1969), communities of practice (Wenger, 1998), and figured worlds (Holland, et al., 1998), data were collected using methods consistent with qualitative inquiry. These included: observations of quasi-formal music learning settings, in musical playgroups and during professional musicians’ presentations; close observations of children’s daily school lives; and planned discussion group interviews (O’Reilly, 2005). Findings emerged from the data via a bricolage of existentialist (Morrisette, 1999; Holyroyd, 2001) and interpretative phenomenological analyses (Smith, 2003).

Children in my study explored and expressed their musical identities through self-directed engagement across multiple modalities of singing, listening, performing on instruments, and creating music. They engaged with these modalities in individualized and shared ways. Singing was situated, by context and in concert with social and gender comparisons. Listening, performing, and creating encompassed a trajectory from experimentation to intentionality, with continually embedded exploration and musical play.

Findings indicated that children in middle childhood may actively shape their musical identities within a dynamic nexus of individualized and social continuums of music experience and learning. These continuums may be understood along three dimensions: development; components, i.e., music participation and learning; and processes. The developmental spectrum of children in middle childhood provides a fluid context for understanding musical identity, revealed not as a fixed entity, but through interweaving elements of their past, present, and future musical lives. Self-directed music participation and learning may shape musical identity and provide a context for its expression through both musical and social roles, as children enact musical behaviors through social interaction. Finally, children’s musical identity may be understood as a process, in which personal dialogue meets external discourses, as children continuously negotiate self-conceptions of musicality within and among their musical worlds. Findings indicate that music teachers may offer opportunities for exploration and musical play as a basis for concurrently nurturing the development of musical identities and fostering musical understanding.

As a method of inquiry, a/r/tography is an arts-based approach to research that is interested in how artistic practices produce meaning and a/r/tographers use art to “construct the very ‘thing’ [they] are attempting to make sense of” (Springgay, 2008, p. 159). In this study, I wrote and illustrated a postmodern picturebook and interpreted how this experience generated understandings about what it means to write. In response to the process model of writing (Flower & Hayes, 1981), the data led to representations that offer new perspectives on contemporary writing theory, in particular, the interpretive, public, and situated nature of writing (Kent, 1999). As a result, I use theories of metaphor (Lakoff & Johnson, 1980/2003; Lakoff & Turner, 1989) to critique writing process theory (Elbow, 1973, 1981; Flower & Hayes, 1981) and propose that a/r/tographic inquiry creates openings for new possibilities within the post-process movement (Kent, 1999) by demonstrating how a writer’s evolving questions (Irwin & Springgay, 2008) relate to writing pedagogy.

FOREIGN LANGUAGE FOR CONTENT: AIMING TO DEVELOP

LIFELONG LEARNING DISPOSITIONS

by

Svetoslava Dimova

In the context of emphasis on English language, mathematics and science within the American educational system (No Child Left Behind, 2001), foreign language education appears to be increasingly dissociated from educational priorities. Ways to create relevant goals and optimize the effects of foreign language teaching emerge through the use of communication technologies and connections to academic content.

This qualitative study explores the relationship between high school students’ skills in French as a foreign language (L2), their cognitive strategies during reading in L2 for academic content, and their motivation to read authentic French texts. The following questions guided the study: 1) How do students internalize the task of self-selected online reading in L2 for content understanding pertaining to their History of the Americas course? 2) What processes and skills do students evidence and draw upon to locate and read for information in L2?, and 3) What are the implications for building a theory of student motivations for extensive reading in L2 beyond the classroom context?

The study was realized in the setting of an International Baccalaureate (IB) program, where 4 key informants were selected, and analysis was presented in the form of 4 case studies. Informants’ French language proficiency ranged from intermediate-mid to advanced levels (ACTFL Guidelines, 1999). Data collection occurred during 8 weeks and included three rounds of formal, phenomenological interviews, classroom observations, and students’ learning journals. Data were analyzed through the lens of Activity theory (Engeström, 1999) and motivation theory (Keller, 2008) in order to determine emerging themes.

While both L2 skills and interest in historical content influenced the task completion, and informants used multiple strategies to search and read, internalization and motivation aspects related to acquiring content superseded those related to increasing language skills. Informants’ differences in attitudes toward the curriculum integrative task were additionally caused by their ideas of content appropriateness in a L2 course. Development of cultural awareness and critical thinking was also primarily shaped by interest in content. Findings from the analysis suggested further directions for L2 classroom instruction that could lead to developing students’ lifelong learning dispositions.

High stakes testing is popularly examined in educational research, but contemporary analyses tend to reflect a qualitative or quantitative research design (e.g., Au, 2007; Cochran-Smith & Lytle, 2006; Gamble, 2010). Exhaustive debate over the relative success or failure of high stakes testing is often framed between competing visions of epistemological constructs, and the historical foundations of high stakes testing policies are rarely explored. The origins of high stakes testing can be traced to local school reform efforts in states like Louisiana, and investigating the roots of high stakes testing at the state level contextualizes the national debate on student assessment in research and scholarship.

Using historical research methods, this project details the local campaign to implement the Louisiana Educational Assessment Program (LEAP) as Louisiana’s comprehensive high stakes testing program. Enacted under state law in 1986, the LEAP is a series of K-12 student assessments aligned to prescriptive state standards. The LEAP is among the nation’s longest comprehensive high stakes testing programs and is the centerpiece to Louisiana’s school accountability system. The narrative of its development offers critical insight into the overarching rationales for high stakes testing that continue to drive accountability policies throughout the country. This study interweaves sociological and political history into a singular chronological record of the LEAP. Historical research methodology informs this study by establishing the basis for data collection and analysis. Historical research method is the systematic collection and evaluation of primary source data in order to determine trends, causes, or effects of past events (Gay, 1996; Lucey, 1984). Methods used in this research investigation include document analysis and oral history interviews. Multiple data sources are used to gain a thorough understanding of the historical context surrounding the implementation of the LEAP. The LEAP functions as both a student assessment program and policy of school accountability, and the story of its development is an important narrative within the field of high stakes testing research and scholarship.

Findings revealed that the preschoolers in both families use a multimodal process such as talking, drawing, singing, chanting, recitation, technologies, and sociodramatic play in their daily literacy experiences. The parents are not concerned with teaching their children specific literacy skills; but they naturally use techniques for keeping them on task and questioning skills to enhance oral language and comprehension development. These families’ home literacy practices are Americanized by living in the mainstream social group, and English is frequently used among the family members. However, their bilingualism and religious literacy practices enrich and vary their children’s emergent literacy experiences and their family literacy practices. The significance of this study resides in the importance of getting to know individual families’ backgrounds to better understand and respect the cultural practices of family literacy.

The purpose of this research was to investigate the effect of ALEKS on students’ achievement in mathematics in an online learning environment and to determine the cognitive complexity of mathematical tasks enacted by ALEKS’s initial (pretest) and final (posttest) assessments. The targeted population for this study was undergraduate students in College Mathematics I, in an online course at a private university in the southwestern United States. The study used a quasi-experimental One-Group non-randomized pretest and posttest design.

Five methods of analysis and one model were used in analyzing data: t-test, correctional analysis, simple and multiple regression analysis, Cronbach’s Alpha reliability test and Webb’s depth of knowledge model. A t-test showed a difference between the pretest and posttest reports, meaning ALEKS had a significant effect on students’ mathematics achievement. The correlation analysis showed a significant positive linear relationship between the concept mastery reports and the formative and summative assessments reports meaning there is a direct relationship between the ALEKS concept mastery and the assessments. The regression equation showed a better model for predicting mathematics achievement with ALEKS when the time spent learning in ALEKS and the concept mastery scores are used as part of the model.

According to Webb’s depth of knowledge model, the cognitive complexity of the pretest and posttest question items used by ALEKS were as follows: 50.5% required application of skills and concepts, 37.1% required recall of information, and 12.4% required strategic thinking: None of the questions items required extended thinking or complex reasoning, implying ALEKS is appropriate for skills and concepts building at this level of mathematics.