Offers practical advice on using and improving assessment for learning in the classroom.

Offers practical advice on using and improving assessment for learning in the classroom.

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.

The future of Assessment for Learning 20 years after Inside the Black Box Twenty years after the publication of Inside the Black Box, the landmark review of formative classroom assessment, international education experts Christine Harrison and Margaret Heritage tackle assessment for learning (AfL) anew, with fresh insights gained from two decades of research, theory, and classroom practice. The Power of Assessment for Learning: Twenty Years of Research and Practice in UK & US Classrooms examines the practices and processes of formative assessment over time in both countries, evaluates the benefits accrued to teaching and learning, and considers future developments in growing and sustaining AfL practice. It features: Key AfL ideas, approaches, and supports Vignettes of classroom practice that illustrate AfL in action in the U.K. and U.S. Practice-based evidence to enrich understanding of AfL from both the teacher’s and the student’s perspective Focused on student-centeredness and rich with classroom examples, this book is a ‘sounding board’ for educators to explore and reflect on their own AfL practices and beliefs.

A Practical Guide to Teaching Mathematics in the Secondary School offers straightforward advice, inspiration and a wide range of tried and tested approaches to help you find success in the secondary mathematics classroom. Illustrated throughout, this fully updated second edition includes new chapters on using ICT in the classroom and promoting a positive learning environment, as well as fresh and easy to use ideas that can help you engage your pupils and inspire mathematical thinking. Covering all key aspects of mathematics teaching, it is an essential companion for all training and newly qualified mathematics teachers. Combining ideas and practical insights from experienced teachers with important lessons from educational research, this book covers key aspects of mathematics teaching, including: planning effective lessons using assessment to support learning encouraging mathematical activity integrating ICT into your teaching making lessons engaging building resilient learners. A Practical Guide to Teaching Mathematics in the Secondary School is an essential companion to the core textbook Learning to Teach Mathematics in the Secondary School. Written by expert practitioners, it will support you in developing imaginative and effective mathematics lessons for your pupils.