Closed Circles
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Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda's 60th Birthday
This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such as differential geometers) who are interested in the theory of real hypersurfaces in a non-flat complex space form.
Mathematics Tasks for the Thinking Classroom, Grades K-5
Practical and proven math tasks to maximize student thinking and learning Building upon the blockbuster success of Building Thinking Classrooms in Mathematics, Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, Mathematics Tasks for the Thinking Classroom, Grades K-5. But this book is so much more than simply a collection of good thinking tasks. It delves deeper into the implementation of the 14 practices from the BTC framework by updating the practices with the newest research, and focusing on the practice through the lens of rich math tasks that address specific mathematical learning outcomes or standards. Across the 20 non-curricular tasks and 30 curricular tasks used as models, this book: Helps you choose tasks to fit your particular math standards, goals, and the competencies you want your students to build Walks you through all the steps and scripts to launch, facilitate, and consolidate each task Shares examples of possible student solutions along with hints you might offer to help their thinking along Offers tasks for consolidation, example notes to my future forgetful self, and mild, medium, and spicy check-your-understanding questions (CYUs) for every thin sliced sequences of curricular tasks Imparts reflections from the authors on each task The book closes with specific guidance on how to find more tasks or craft your own non-curricular and curricular tasks, along with answers to educators’ frequently asked questions. It includes access to a companion website that includes downloadables and a task template for creating your own tasks. Whether you are new to BTC or a seasoned user, Mathematics Tasks for the Thinking Classroom, Grades K-5 will help teachers, coaches, and specialists transform traditional math classrooms into dynamic and thought-provoking learning spaces.
Brain Microtuble Associated Proteins
Brain Microtubule Associated Proteins lays a firm foundation for understanding the brain microtubule associated proteins and how they contribute to the neurodegeneration of Alzheimer's disease. Few other reference works contain within a single source such a complete treatment of this topic. The authors cast a broad net over the field by devoting the first four chapters to each of the major brain microtubule associated proteins, MAP1A, MAP1B, MAP2 and tau. Completing this background material are chapters on the cellular role of these proteins in developing neurons and the sorting of tau to axons. The remaining chapters focus on tau - its kinases, its phosphatases, and other post-translational modifications such as ubiquitination and glycation. The second part of the book takes a more practical approach and includes chapters on the purification of microtubule associated proteins, functional assays using gene-transfer experiments, immunofluorescence and video microscopic analysis. This book is intended not only to be a reference source for expert laboratories but also to provide information which will allow a novice in the field to choose the best method for a particular purpose.