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Geometry Labs is a book of hands-on activities that use manipulatives to teach important ideas in geometry. These 78 activities have enough depth to provide excellent opportunities for discussion and reflection in both middle school and high school classrooms.
Much of the content that students study in a high school geometry course is totally new to them. The middle school mathematics curriculum does not contain preparatory work for many of these topics as it does in preparing students for the study of Algebra. The proposed text would be a landmark book giving students the ability to gain some understanding of the content before it is formally addressed in the lesson in the course. While many teachers use initial classroom activities called ‘DoNows,’ there are no structured materials available to teachers of Geometry for this purpose. When teachers do use them, these activities are constructed by the teachers. The text provides the teachers with such materials and is structured to address what the teachers are about to present to the students. The Labs can also be used for exploration of topics at the middle school level enhancing the program there and giving students a better preparation for their high school Geometry program.
A collaboration between a seasoned math teacher and a research mathematician, this resource offers balanced instructional ideas based on student intellectual engagement and skilled teacher leadership. It is solidly grounded in many areas of classroom practice, but rather than serving as a prescriptive how-to manual, the authors invite reflection and discussion across classrooms and math departments, much in the way you would share ideas in the teachers’ lounge or across the table at a conference. Chapters offer practical suggestions and concrete examples to teachers of grades 6–12 on just about every aspect of the job: manipulatives, technology, lesson planning, group work, classroom discussion, and more. In opposition to the idea of a “one-size-fits-all” curriculum, the authors explain how to integrate teaching techniques: formal and informal, student-centered and teacher-led, experiential and rigorous. Chapters also include vignettes, as well as many links to curricular materials. Ideal for math educators of grades 6–12, this book is both comprehensive in its strategies and sensitive to the complexities of teaching. For these reasons, math departments, coaches, teacher leaders, and faculty at other levels can also easily reference its content where relevant. This book offers multiple entry points for teachers and departments to discuss and enhance their practice, making it essential reading for any math educator or professional development opportunity.
As the healthcare industry continues to expand, a higher volume of new professionals must be integrated into the field. Providing these professionals with a quality education will likewise ensure the further progress and advancements in the medical field. Medical Education and Ethics: Concepts, Methodologies, Tools, and Applications presents a compendium of contemporary research on the educational practices and ethical considerations in the medical industry. This multi-volume work contains pedagogical frameworks, emerging trends, case studies, and technological innovations essential for optimizing medical education initiatives. This comprehensive publication is a pivotal resource for medical professionals, upper-level students, researchers, and practitioners.
"Cheryl Beaver, Laurie Burton, Maria Fung, Klay Kruczek, editors"--Cover.
Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. There follows a new introduction to symmetry and hands-on explorations of isometries that precedes an extensive analytic treatment of similarities and affinities. Chapter 4 presents plane projective geometry both synthetically and analytically, and the new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history, plus this second edition points to Web locations of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".
The delivery of quality education to students relies heavily on the actions of an institution’s administrative staff. Effective leadership strategies allow for the continued progress of modern educational initiatives. Educational Leadership and Administration: Concepts, Methodologies, Tools, and Applications provides comprehensive research perspectives on the multi-faceted issues of leadership and administration considerations within the education sector. Emphasizing theoretical frameworks, emerging strategic initiatives, and future outlooks, this publication is an ideal reference source for educators, professionals, school administrators, researchers, and practitioners in the field of education.
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
John Ogbu has studied minority education from a comparative perspective for over 30 years. The study reported in this book--jointly sponsored by the community and the school district in Shaker Heights, Ohio--focuses on the academic performance of Black American students. Not only do these students perform less well than White students at every social class level, but also less well than immigrant minority students, including Black immigrant students. Furthermore, both middle-class Black students in suburban school districts, as well as poor Black students in inner-city schools are not doing well. Ogbu's analysis draws on data from observations, formal and informal interviews, and statistical and other data. He offers strong empirical evidence to support the cross-class existence of the problem. The book is organized in four parts: *Part I provides a description of the twin problems the study addresses--the gap between Black and White students in school performance and the low academic engagement of Black students; a review of conventional explanations; an alternative perspective; and the framework for the study. *Part II is an analysis of societal and school factors contributing to the problem, including race relations, Pygmalion or internalized White beliefs and expectations, levelling or tracking, the roles of teachers, counselors, and discipline. *Community factors--the focus of this study--are discussed in Part III. These include the educational impact of opportunity structure, collective identity, cultural and language or dialect frame of reference in schooling, peer pressures, and the role of the family. This research focus does not mean exonerating the system and blaming minorities, nor does it mean neglecting school and society factors. Rather, Ogbu argues, the role of community forces should be incorporated into the discussion of the academic achievement gap by researchers, theoreticians, policymakers, educators, and minorities themselves who genuinely want to improve the academic achievement of African American children and other minorities. *In Part IV, Ogbu presents a summary of the study's findings on community forces and offers recommendations--some of which are for the school system and some for the Black community. Black American Students in an Affluent Suburb: A Study of Academic Disengagement is an important book for a wide range of researchers, professionals, and students, particularly in the areas of Black education, minority education, comparative and international education, sociology of education, educational anthropology, educational policy, teacher education, and applied anthropology.