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Exploring Best Practices in Developmental Mathematics

Exploring Best Practices in Developmental Mathematics PDF Author: Brian V. Cafarella
Publisher:
ISBN:
Category : Community colleges
Languages : en
Pages : 246

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.

Exploring Best Practices in Developmental Mathematics

Exploring Best Practices in Developmental Mathematics PDF Author: Brian V. Cafarella
Publisher:
ISBN:
Category : Community colleges
Languages : en
Pages : 246

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.

Increasing Student Success in Developmental Mathematics

Increasing Student Success in Developmental Mathematics PDF Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
ISBN: 0309496624
Category : Education
Languages : en
Pages : 123

Book Description
The Board on Science Education and the Board on Mathematical Sciences and Analytics of the National Academies of Sciences, Engineering, and Medicine convened the Workshop on Increasing Student Success in Developmental Mathematics on March 18-19, 2019. The Workshop explored how to best support all students in postsecondary mathematics, with particular attention to students who are unsuccessful in developmental mathematics and with an eye toward issues of access to promising reforms and equitable learning environments. The two-day workshop was designed to bring together a variety of stakeholders, including experts who have developed and/or implemented new initiatives to improve the mathematics education experience for students. The overarching goal of the workshop was to take stock of the mathematics education community's progress in this domain. Participants examined the data on students who are well-served by new reform structures in developmental mathematics and discussed various cohorts of students who are not currently well served - those who even with access to reforms do not succeed and those who do not have access to a reform due to differential access constraints. Throughout the workshop, participants also explored promising approaches to bolstering student outcomes in mathematics, focusing especially on research and data that demonstrate the success of these approaches; deliberated and discussed barriers and opportunities for effectively serving all students; and outlined some key directions of inquiry intended to address the prevailing research and data needs in the field. This publication summarizes the presentations and discussion of the workshop.

Increasing Student Success in Developmental Mathematics

Increasing Student Success in Developmental Mathematics PDF Author: Linda Clare Casola
Publisher:
ISBN: 9780309496636
Category : Mathematics
Languages : en
Pages : 110

Book Description
"The Board on Science Education and the Board on Mathematical Sciences and Analytics of the National Academies of Sciences, Engineering, and Medicine convened the Workshop on Increasing Student Success in Developmental Mathematics on March 18-19, 2019. The Workshop explored how to best support all students in postsecondary mathematics, with particular attention to students who are unsuccessful in developmental mathematics and with an eye toward issues of access to promising reforms and equitable learning environments. The two-day workshop was designed to bring together a variety of stakeholders, including experts who have developed and/or implemented new initiatives to improve the mathematics education experience for students. The overarching goal of the workshop was to take stock of the mathematics education community's progress in this domain. Participants examined the data on students who are well-served by new reform structures in developmental mathematics and discussed various cohorts of students who are not currently well served - those who even with access to reforms do not succeed and those who do not have access to a reform due to differential access constraints. Throughout the workshop, participants also explored promising approaches to bolstering student outcomes in mathematics, focusing especially on research and data that demonstrate the success of these approaches; deliberated and discussed barriers and opportunities for effectively serving all students; and outlined some key directions of inquiry intended to address the prevailing research and data needs in the field. This publication summarizes the presentations and discussion of the workshop"--Publisher's description.

Beyond Answers

Beyond Answers PDF Author: Mike Flynn
Publisher: Taylor & Francis
ISBN: 1003839533
Category : Education
Languages : en
Pages : 230

Book Description
Beyond Answers: Exploring Mathematical Practices with Young Children, author Mike Flynn provides teachers with a clear and deep sense of the Standards for Mathematical Practice and shares ideas on how to best implement them in K-2 classrooms.' Each chapter is dedicated to one of the eight common core standards. Using examples from his own teaching and vignettes from many other K-2 teachers, Flynn does the following: ' Invites you to break the cycle of teaching math procedurally Demonstrates what it means for children to understandnot just domath Explores what it looks like when young children embrace the important behaviors espoused by the practices The book's extensive collection of stories from K-2 classroom provides readers with glimpses of classroom dialogue, teacher reflections, and examples of student work. Focus questions at the beginning of each vignette help you analyze the examples and encourage further reflection. Beyond Answers' is a wonderful resource that can be used by individual teachers, study groups, professional development staff, and in math methods courses. '

Breaking Barriers

Breaking Barriers PDF Author: Brian Cafarella
Publisher: CRC Press
ISBN: 1000403777
Category : Mathematics
Languages : en
Pages : 222

Book Description
The fact college students often struggle in mathematics is not new. They exhibit a great deal of anxiety, dislike, and overall disinterest. Quantitative data displaying abysmal student success rates are widely available and shared. This book explores the complexity surrounding the issue of student difficulties in community college math. Though much quantitative research focuses on the faculty experiences and perspectives regarding methods and practices, the author puts the focus on students’ experiences. The book presents the results of a study focused on students who struggled in mathematics. Though their experiences varied, they all entered community college with a great deal of disgust and anxiety toward mathematics courses and requirements. These impressions and attitudes create barriers to success. However, all the students eventually succeeded in fulfilling their college-level mathematics requirement. The author presents these students’ experiences prior to entering community college, what led to both success and failure in their math courses, and the common themes leading to success and failure. Through these student responses, the author assists readers in gaining a better understanding of the community college student who struggles in math and how to break students’ community college math barriers to success. TABLE OF CONTENTS Preface 1. Math is a Four-Letter Word 2. The Framework for Developmental and Introductory College-Level Math 3.The Study, Settings, and the Participants 4. Prior Experiences in Math 5. Attempting Math and Community College 6. Navigating the First Developmental Math Course 7. Math Pathways and Completing Developmental Math 8. The End of the Rainbow 9 I Need More Math...Now What? 10. Lessons Learned in the Aftermath Appendix A: Analyzing the Results and Ensuring Accuracy Appendix B: Pre-Algebra and Introduction to Algebra Course Content Appendix C: Stand-Alone Quantway 1 and Statway 1 Course Content Appendix D: Elementary Algebra (all half semester) Content Appendix E: Intermediate Algebra Content Appendix F: Lead Questions for Student Participants Appendix G: Lead Questions for the Lester Community College Faculty Index BIOGRAPHY With 21 years of experience in mathematics education and 17 years as a community college math professor, the author has instructed courses from developmental math through calculus. He has served as Chair of the Developmental Math Department and Assistant Chair of the Mathematics Department at Sinclair College, Dayton, Ohio. He received the Jon and Suanne Roueche Award for Teaching Excellence and the Ohio Magazine Excellence in Education Award. His published research focuses on faculty viewpoints regarding pedagogical practices as well as conceptual research concentrating on developmental math. His article, "Acceleration and Compression in Developmental Math: Faculty Viewpoints," was awarded Article of the Year by the Journal of Developmental Education.

Mathematizing

Mathematizing PDF Author: Allen C. Rosales
Publisher: Redleaf Press
ISBN: 1605543969
Category : Education
Languages : en
Pages : 150

Book Description
This proven, accessible approach to a curriculum presents a learner-centered approach to math education. Mathematizing provides both the emergent curriculum and professional development frameworks to help young children learn math throughout their everyday routine and to facilitate teachers' understanding of how to see and support children's math learning at every turn. With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful mathematical lessons and interactions.

Transforming the Workforce for Children Birth Through Age 8

Transforming the Workforce for Children Birth Through Age 8 PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309324882
Category : Social Science
Languages : en
Pages : 706

Book Description
Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children.

Developmental Math Assessment Teacher Resource Guide

Developmental Math Assessment Teacher Resource Guide PDF Author: Karen Boreman
Publisher:
ISBN: 9780979352607
Category :
Languages : en
Pages : 20

Book Description
Developmental Math Assessment is for young children age 3-8 and is used to: ? Assess the important number concepts and skills needed to be successful at a grade level. ? Gain insight into how effectively teachers are teaching and students are learning. ? Improve instruction and determine plans for individual students. ? Model a framework of early number concepts. ? Monitor annual yearly progress in number concepts ? Facilitate communication between teachers and parents so parents feel more informed about their student?s strengths and needs in mathematics.

Effective institutional and instructional practices in developmental math education

Effective institutional and instructional practices in developmental math education PDF Author: Anna F. Butler
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


The Young Child and Mathematics, Third Edition

The Young Child and Mathematics, Third Edition PDF Author: Angela Chan Turrou
Publisher:
ISBN: 9781938113932
Category : Education
Languages : en
Pages : 128

Book Description
Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!