Rethinking Mathematics


Book Description

In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.




The Development of Multiplicative Reasoning in the Learning of Mathematics


Book Description

Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.




Increasing Student Success in Developmental Mathematics


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.




Mathematics Professional Development


Book Description

This resource will help school leaders and other professional development providers conduct ongoing, structured learning opportunities for mathematics teachers (K-12). The authors present models for professional development and the preparation of PD leaders designed and field-tested as part of two research projects supported by the National Science Foundation. The Problem-Solving Cycle model and the Mathematics Leadership Preparation model focus on topics of primary interest to mathematics teachers - mathematics content, classroom instruction, and student learning. They are intentionally designed so that they can be tailored to meet the needs and interests of participating teachers and schools. Through engaging vignettes, the authors describe the models, summarize key research findings, and share lessons learned. The book also includes detailed examples of workshop activities for both teachers and PD leaders.







Community College Mathematics


Book Description

This book explores the rich history of community college math with a specific focus on gatekeeper math classes. Gatekeeper math classes include courses such as college algebra, introduction to statistics, and all developmental math classes. For community colleges, successful completion of these classes is imperative for student retention. This book presents a decade-by-decade analysis of the history of community college mathematics. The author employs a mix of conceptual, empirical, and quantitative research. The empirical research stems from interviews with 30 community college faculty members from seven community colleges. From the 1970s to the pandemic in the early 2020s, the book explores math curricula as well as trends, initiatives, teaching practices, and mandates that have impacted community college math. The positives and negatives of such trends, initiatives, and mandates are presented along with suggestions on how to apply such knowledge going forward. The author addresses the key questions: How can we build a future model for community college gatekeeper math classes that is both successful and sustainable? Additionally, how can we learn from the past and the present to build such a model? This book will be ideal for students in graduate programs focusing on community college leadership or developmental education leadership as well as all those hoping to improve success rates in community college mathematics programs.




Comprehensive Reform for Student Success


Book Description

Community colleges face pressure to “do more with less” that have prompted many college leaders to consider fundamental changes to the ways they have typically done business. Because piecemeal solutions have not often been effective or efficient, colleges are moving far beyond discreet “programs” or “interventions,” and are attempting to implement comprehensive reform efforts. This volume conceptualizes comprehensive reform as being marked by: a focus on student success; a theory of change that ties programmatic components together in an intentional and cohesive package, implemented at multiple levels throughout the college and touching the majority of students; and a culture of evidence that uses data to continuously assess programs and processes against student success. Presenting original analyses that describe the rationale for comprehensive reform, this volume examines the challenges involved in implementing, evaluating, and sustaining those efforts. This is the 176th volume of this Jossey-Bass quarterly report series. Essential to the professional libraries of presidents, vice presidents, deans, and other leaders in today's open-door institutions, New Directions for Community Colleges provides expert guidance in meeting the challenges of their distinctive and expanding educational mission.




Community Colleges in the Evolving STEM Education Landscape


Book Description

The National Research Council (NRC) and National Academy of Engineering (NAE) have released a new report, Community Colleges in the Evolving STEM Education Landscape: Summary of a Summit. Based on a national summit that was supported by the National Science Foundation and organized by the NRC and the NAE, the report highlights the importance of community colleges, especially in emerging areas of STEM (Sciene, Technology, Engineering, and Mathematics) and preparation of the STEM workforce. Community colleges are also essential in accommodating growing numbers of students and in retraining displaced workers in skills needed in the new economy. Community Colleges in the Evolving STEM Education Landscape: Summary of a Summit looks at the changing and evolving relationships between community colleges and four-year institutions, with a focus on partnerships and articulation processes that can facilitate student success in STEM; expanding participation of students from historically underrepresented populations in undergraduate STEM education; and how subjects, such as mathematics, can serve as gateways or barriers to college completion.




Practical Leadership in Community Colleges


Book Description

Anticipate, manage, and overcome the complex issues facing community colleges Practical Leadership in Community Colleges offers a path forward through the challenges community colleges face every day. Through field observations, reports, news coverage, and interviews with leaders and policy makers, this book digs deep into the issues confronting college leaders and provides clear direction for managing through the storm. With close examination of both emerging trends and perennial problems, the discussion delves into issues brought about by changing demographics, federal and state mandates, public demand, economic cycles, student unrest, employee groups, trustees, college supporters, and more to provide practical guidance toward optimal outcomes for all stakeholders. Written by former presidents, including a past president of the American Association of Community Colleges, this book provides expert guidance on anticipating and managing the critical issues that affect the entire institution. Both authors serve as consultants, executive coaches, and advisors to top leaders, higher education institutions, and leadership development programs throughout the United States. Community colleges are facing increasingly complex issues from both without and within. Some can be avoided, others only mitigated—but all must be managed, and college leaders must be fully prepared or risk failing the students and the community. This book provides real-world guidance for current and emerging leaders and trustees seeking more effective management methods, with practical insight and expert perspective. Tackle the college completion challenge and performance-based funding initiatives Manage through economic cycles, declining support, and calls for accountability Delve into the issues of privatization and employee unionization Execute strategies to align institutional goals and mission Manage organizational change and new ways of thinking that are essential in today's competitive environment Manage issues involving diversity, inclusiveness, and equity Prepare adequately for campus emergencies Community colleges are the heartbeat of the nation's higher education system, and bear the tremendous responsibility of serving the needs of a vast and varied student body. Every day may bring new issues, but effective management allows institutions to rise to the challenge rather than falter under pressure. Practical Leadership in Community Colleges goes beyond theory to provide the practical guidance leadership needs to more effectively lead institutions to achieve results and serve the students and the community.




Integrating Research on Teaching and Learning Mathematics


Book Description

During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.