Discourse and Knowledge in Two Community College Developmental Mathematics Classrooms


Book Description

To address the limited mathematical preparation of many entry-level community college students, they are referred to developmental mathematics classes. However, documented student underachievement in these classes demonstrates that efforts to prepare students in mathematics have not been effective. In this research study, I sought to gain an insight into both the teaching methods and learning of developmental mathematics in community college. Using classroom observations, I documented the verbal exchanges between teacher and students in two classrooms during teacher-led lectures and supported my interpretations with data from interviews of teachers and focal students. I examined regularities in the classroom activity to define patterns of participation that framed the social and sociomathematical norms fostered in each classroom. Classroom norms deepened my understanding of how teachers invited students to participate in classroom discourse and the roles teachers and students played. This understanding, as well as a focus on the mathematical content of the discourse, allowed me to explicate how the forms of discourse operated in the construction of knowledge availed by classroom context. Supported by the teacher's known-answer questions, the monologic discourse in one of the classrooms was focused on rote memorization of mathematical procedures, whereas a less monologic discourse in the other focused on understanding these procedures. I conclude that classroom discourse and normative interaction patterns guide and influence student learning in ways that can improve mathematical achievement.




Equity in Discourse for Mathematics Education


Book Description

This book explores the connection between the ways people speak in mathematics classrooms and their opportunities to learn mathematics. The words spoken, heard, written and read in mathematics classrooms shape students’ sense of what mathematics is and of what people can do with mathematics. The authors employ multiple perspectives to consider the means for transformative action with respect to increasing opportunities for traditionally marginalized students to form mathematical identities that resonate with their cultural, social, linguistic, and political beings.




The Role of Mathematics Discourse in Producing Leaders of Discourse


Book Description

The intent of this monograph is to showcase successful implementation of mathematical discourse in the classroom. Some questions that might be addressed are: * How does a teacher begin to learn about using discourse purposefully to improve mathematics teaching and learning? * How is discourse interwoven into professional development content courses to provide teachers with the tools necessary to begin using discourse in their own classrooms? * What does a discourse-rich classroom look like and how is it different from other classrooms, from both the teacher's and the students' perspectives? * How can teachers of pre-service teachers integrate discourse into their content and methods courses? * How can we use discourse research to inform work with teachers, both pre- and in-service, for example, to help them know how to respond to elicited knowledge from students in their classrooms? * What are the discourse challenges in on-line mathematics courses offered for professional development? Can on-line classrooms also be discourse-rich? What would that look like? * In what ways does mathematical discourse differ from discourse in general?




Inside the Community College Developmental Math Classroom


Book Description

This study provides a better understanding of how student and faculty perceive the developmental math classroom experience and the impact on students’ ability to successfully complete developmental math courses. A significant contribution of the study is the identification of a positive correlation between students’ attitudes and perceptions of the classroom environment and successful course completion. A second major contribution is a detailed description of pedagogical strategies and classroom leadership behaviors exhibited by developmental math faculty who do, and do not, have high student pass rates. The three research questions for this study were: 1. What is the relationship between students’ attitudes and perceptions of their developmental math classroom experience and their likelihood for successful course completion? 2. To what extent are student and faculty attitudes and perceptions of the developmental math classroom learning environment congruent? 3. What are the pedagogical strategies and classroom leadership behaviors exhibited by developmental math faculty who do, and do not, have high student pass rates in these courses? Two theoretical frameworks; Goal Theory Model of Achievement Motivation and Transformational Leadership; were used to guide this research. This mixed methods study was a case study of developmental math students and faculty from a medium sized rural community college in Texas, enrolled and teaching in the fall 2013. The sample included 661students enrolled in developmental math during the fall 2013 semester. There were a total of 17 developmental math instructors, of which three were employed full time, and 14 were employed part time. Quantitative data was collected from all 17 faculty and seven of these faculty were interviewed about the instructional practices they use when teaching developmental math students. A quantitative analysis was conducted of secondary course evaluation and student success data. A factor analysis was first conducted and reliability established for the course evaluation data. Next, a Pearson product moment r correlation was conducted in to determine the correlation between student perception and student success rates. The qualitative methods employed included 7 interviews (2 full time and 5 part time) with recruited developmental math faculty. Transcribed interview data were organized by thematic data analysis using a deductive process (Creswell, 2008) The Pearson product-moment r correlation conducted in this study found moderate positive correlations, r(14) = .64, p




Exploring Best Practices in Developmental Mathematics


Book Description

Currently, many community colleges are struggling with poor student success rates in developmental math. Therefore, this qualitative study focused on employing best practices in developmental mathematics at an urban community college in Dayton, Ohio. Guiding the study were the following research questions: What are the best practices utilized by a group of developmental mathematics instructors at an urban community college? How do these instructors employ such practices to enhance student learning? Participants consisted of 20 developmental mathematics instructors from Sinclair Community College in Dayton, Ohio who had taught at least six developmental math classes over a two-year period and who self-reported success rates of at least 60% during that time. This study employed a pre-interview document and a face-to-face interview as the primary research instruments. Using the constant comparison method (Merriam, 2002a), the researcher constructed findings from both approaches regarding best practices in developmental math. Such practices included communication with students, the art of organization, collaborative learning, frequent low stake assessments, technology supplements, the use of mnemonics and memorable wording, and manipulatives, visuals and real-life applications. When addressing the topic of acceleration, the participants reported that this strategy is a proper fit for some students but not all. The following conclusions were based on the findings from this study. Effective communication should be established between developmental math instructors and students as well as among developmental math instructors. Developmental math faculty ought to work with their students in developing their organizational skills. Developmental math instructors should couple the implementation of frequent low stake assessments with student outreach. Collaborative learning can be beneficial to some developmental math students, but instructors must take into account the composition of the class as well their own comfort level with collaborative learning. It is also important for developmental math instructors to employ some creativity in their classes. Accelerated instruction should be reserved for higher ability developmental math students with a strong work ethic. Lastly, college administrators must recognize and respect instructor comfort level. The findings from this dissertation will assist both new and veteran developmental math instructors with implementing practices that will enhance student success in their classes. The findings are also intended to aid community college leaders in gaining an understanding of the culture of developmental math and assist these leaders in the implementation of policy and practice regarding developmental math.




Academic Language in Diverse Classrooms: Mathematics, Grades K–2


Book Description

Help your students unlock important mathematical concepts! If you’ve ever watched a student struggle with learning math concepts, you know that academic English can sometimes create stumbling blocks to understanding. To grasp complicated concepts, build skills, and demonstrate achievement, students need to master academic language in math. The Common Core and ELD standards provide pathways to academic success through academic language. Using an integrated Curricular Framework, districts, schools and professional learning communities can: Design and implement thematic units for learning Draw from content and language standards to set targets for all students Examine standards-centered materials for academic language Collaborate in planning instruction and assessment within and across lessons Consider linguistic and cultural resources of the students Create differentiated content and language objectives Delve deeply into instructional strategies involving academic language Reflect on teaching and learning Each grade-specific chapter models the types of interactions and learning experiences that help students master both math content and academic language. This essential book shows you why mastery of academic language is the key to students’ academic success. "With growing numbers of English Language Learners in our classrooms, teachers need to be able to help students as they learn academic vocabulary and concepts. This series offers teachers a practical support, complete with abundant rubrics and detailed plans for teaching math vocabulary!" —Renee Peoples, Teacher Swain County Schools, Bryson City, NC




Understanding Community Colleges


Book Description

Understanding Community Colleges provides a comprehensive review of the community college landscape--management and governance, finance, student demographics and development, teaching and learning, policy, faculty, and workforce development--and bridges the gap between research and practice. This contributed volume brings together highly respected scholars in the field who rely upon substantial theoretical perspectives--critical theory, social theory, institutional theory, and organizational theory--for a rich and expansive analysis of community colleges. The latest text to publish in the Core Concepts in Higher Education series, this exciting new text fills a gap in the higher education literature available for students enrolled in Higher Education and Community College graduate programs. This text provides students with: A review of salient research related to the community college field. Critical theoretical perspectives underlying current policies. An understanding of how theory links to practice, including focused end-of-chapter discussion questions. A fresh examination of emerging issues and insight into contemporary community college practices and policy.




Mathematics Teaching and Professional Learning in sub-Sahara Africa


Book Description

The book represents a crop of wide-ranging research conducted by renown scholars in sub-Sahara Africa revolving around mathematics teaching and professional development programs for mathematics teachers. The research-based proposals and actual how-to-conduct professional development initiatives that enhance effective mathematics instruction are rooted in teacher input and informed by learners’ errors and misconceptions. The book provides a comprehensive snapshot on mathematics teaching, learning and effective professional development programmes for mathematics teachers in sub-Sahara Africa. It is the only research output that advances and disseminates issues of mathematics education and research in the region with input from South Africa, Kenya, Rwanda, Uganda, Malawi, Namibia, Lesotho, Ethiopia and Zimbabwe.




Classroom Discourse Analysis


Book Description

This second edition of Classroom Discourse Analysis continues to make techniques widely used in the field of discourse analysis accessible to a broad audience and illustrates their practical application in the study of classroom talk, ideal for upper-level undergraduate and graduate students in discourse analysis, applied linguistics, and anthropology and education. Grounded in a unique tripartite "dimensional approach," individual chapters investigate interactional resources that model forms of discourse analysis teachers may practice in their own classrooms while other chapters provide students with a thorough understanding of how to actually collect and analyse data. The presence of a number of pedagogical features, including activities and exercises and a comprehensive glossary help to enhance students‘ understanding of these key tools in classroom discourse analysis research. Features new to this edition reflect current developments in the field, including: increased coverage of peer interaction in the classroom greater connecting analysis to curricular and policy mandates and standards-based reform movements sample excerpts from actual student classroom discourse analysis assignments a new chapter on the repertoire approach, an increasingly popular method of analysis of particular relevance to today’s multilingual classrooms




Mathematical and Analogical Reasoning of Young Learners


Book Description

Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Australia, of children's reasoning development as they progressed from preschool through the end of second grade. The multifaceted analysis of young children's development of mathematical and analogical reasoning focuses on individual learners, their learning environments, and the interaction between the two. The multidisciplinary team of authors present multiple perspectives and multiple methodologies, and provide valuable information on organizing and sustaining interdisciplinary and cross-cultural inquiry. Key issues addressed include: *the relationship between mathematical and analogical reasoning; *how changes in children's reasoning relate to the implicit instruction they receive in their classrooms; *analyses of the participating teachers' knowledge, beliefs, and practices with respect to mathematical and analogical reasoning of young learners; and *ways in which we might promote development of mathematical and analogical reasoning in young children. This volume is highly relevant for mathematics educators, researchers in mathematics education, educational psychologists, early childhood teachers, and others interested in mathematical development of young children, in particular, the development of their reasoning processes.