Author: Dylan WiliamPublisher: Granada Learning
ISBN: 9780708716878
Category : Juvenile Nonfiction
Languages : en
Pages : 28
Book Description
Author: Paul Black
Author: Paul BlackInside the FFT Black Box
Author: Eleanor ChuPublisher: CRC Press
ISBN: 9781420049961
Category : Mathematics
Languages : en
Pages : 346
Book Description
Are some areas of fast Fourier transforms still unclear to you? Do the notation and vocabulary seem inconsistent? Does your knowledge of their algorithmic aspects feel incomplete? The fast Fourier transform represents one of the most important advancements in scientific and engineering computing. Until now, however, treatments have been either brief, cryptic, intimidating, or not published in the open literature. Inside the FFT Black Box brings the numerous and varied ideas together in a common notational framework, clarifying vague FFT concepts. Examples and diagrams explain algorithms completely, with consistent notation. This approach connects the algorithms explicitly to the underlying mathematics. Reviews and explanations of FFT ideas taken from engineering, mathematics, and computer science journals teach the computational techniques relevant to FFT. Two appendices familiarize readers with the design and analysis of computer algorithms, as well. This volume employs a unified and systematic approach to FFT. It closes the gap between brief textbook introductions and intimidating treatments in the FFT literature. Inside the FFT Black Box provides an up-to-date, self-contained guide for learning the FFT and the multitude of ideas and computing techniques it employs.
Author: Bethan MarshallThe Brilliance of Black Children in Mathematics
Author: Jacqueline LeonardPublisher: IAP
ISBN: 1623960819
Category : Social Science
Languages : en
Pages : 397
Book Description
This book is a critically important contribution to the work underway to transform schooling for students who have historically been denied access to a quality education, specifically African American children. The first section of the book provides some historical perspective critical to understanding the current state of education in the U.S., specifically for the education of African American children. The following sections include chapters on policy, learning, ethnomathematics, student identity, and teacher preparation as it relates to the mathematical education of Black children. Through offering “counternarratives” about mathematically successful Black youth, advocating for a curriculum that is grounded in African American culture and ways of thinking, providing shining examples of the brilliance of Blacks students, and promoting high expectations for all rather than situating students as the problem, the authors of this book provide powerful insights related to the teaching and learning of mathematics for African American students. As is made evident in this book, effective teaching involves much more than just engaging students in inquiry-based pedagogy (Kitchen, 2003). The chapters offered in this book demonstrate how mathematics instruction for African American students needs to take into account historical marginalization and present-day policies that do harm to Black students (Kunjufu, 2005). Empowering mathematics instruction for African American students needs to take into consideration and promote students’ cultural, spiritual, and historical identities. Furthermore, mathematics instruction for African American students should create opportunities for students to express themselves and the needs of their communities as a means to promote social justice both within their classrooms and communities.
Derivative-Free and Blackbox Optimization
Author: Charles AudetPublisher: Springer
ISBN: 3319689134
Category : Mathematics
Languages : en
Pages : 307
Book Description
This book is designed as a textbook, suitable for self-learning or for teaching an upper-year university course on derivative-free and blackbox optimization. The book is split into 5 parts and is designed to be modular; any individual part depends only on the material in Part I. Part I of the book discusses what is meant by Derivative-Free and Blackbox Optimization, provides background material, and early basics while Part II focuses on heuristic methods (Genetic Algorithms and Nelder-Mead). Part III presents direct search methods (Generalized Pattern Search and Mesh Adaptive Direct Search) and Part IV focuses on model-based methods (Simplex Gradient and Trust Region). Part V discusses dealing with constraints, using surrogates, and bi-objective optimization. End of chapter exercises are included throughout as well as 15 end of chapter projects and over 40 figures. Benchmarking techniques are also presented in the appendix.
Assessment For Learning
Author: Black, PaulPublisher: McGraw-Hill Education (UK)
ISBN: 0335212972
Category : Education
Languages : en
Pages : 147
Book Description
Assessment for Learning is based on a two-year project involving thirty-six teachers in schools in Medway and Oxfordshire. After a brief review of the research background and of the project itself, successive chapters describe the specific practices which teachers found fruitful and the underlying ideas about learning that these developments illustrate. Later chapters discuss the problems that teachers encountered when implementing the new practices in their classroom and give guidance for school management and LEAs about promoting and supporting the changes. --from publisher description
Schools for Thought
Author: John T. BruerPublisher: MIT Press
ISBN: 9780262521963
Category : Education
Languages : en
Pages : 342
Book Description
Schools for Thought provides a straightforward, general introduction to cognitive research and illustrates its importance for educational change. If we want to improve educational opportunities and outcomes for all children, we must start applying what we know about mental functioning--how children think, learn, and remember in our schools. We must apply cognitive science in the classroom. Schools for Thought provides a straightforward, general introduction to cognitive research and illustrates its importance for educational change. Using classroom examples, Bruer shows how applying cognitive research can dramatically improve students' transitions from lower-level rote skills to advanced proficiency in reading, writing, mathematics, and science. Cognitive research, he points out, is also beginning to suggest how we might better motivate students, design more effective tools for assessing them, and improve the training of teachers. He concludes with a chapter on how effective school reform demands that we expand our understanding of teaching and learning and that we think about education in new ways. Debates and discussions about the reform of American education suffer from a lack of appreciation of the complexity of learning and from a lack of understanding about the knowledge base that is available for the improvement of educational practice. Politicians, business leaders, and even many school superintendents, principals, and teachers think that educational problems can be solved by changing school management structures or by creating a market in educational services. Bruer argues that improvement depends instead on changing student-teacher interactions. It is these changes, guided by cognitive research, that will create more effective classroom environments. A Bradford Book
Assessment in Mathematics Education
Author: Christine SuurtammPublisher: Springer
ISBN: 3319323946
Category : Education
Languages : en
Pages : 46
Book Description
This book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those common to all levels of assessment and those more connected with either classroom or large-scale assessment. Assessment design based on sound assessment principles is discussed, differentiating between large-scale and classroom assessment, but also examining how the design principles overlap. The focus then shifts to classroom assessment and provides specific examples of assessment strategies, before examining the impact of large-scale assessment on curriculum, policy, instruction, and classroom assessment. The book concludes by discussing the challenges that teachers currently face, as well as ways to support them. The book offers a common language for researchers in assessment, as well as a primer for those interested in understanding current work in the area of assessment. In summary, it provides the opportunity to discuss large-scale and classroom assessment by addressing the following main themes: ·Purposes, Traditions and Principles of Assessment ·Design of Assessment Tasks ·Classroom Assessment in Action ·Interactions of Large-Scale and Classroom Assessment ·Enhancing Sound Assessment Knowledge and Practices It also suggests areas for future research in assessment in mathematics education.
