The Building a System of Tens Casebook was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation of specific mathematical concepts and teaching strategies.

Developing mathematical ideas : part 1, building a system of tens : DS21961.

Illustrates students solving problems and explores their thinking to discover what they understand and misunderstand about place value in our base ten number system. Examines how this understanding affects their work with computation. Filmed in a variety of classroom settings with children and teachers of different races and ethnic groups and a balance of girls and boys.

Transcutaneous electrical nerve stimulation (TENS) is a technique that delivers mild electrical currents across the intact surface of the skin to reduce pain. TENS is used by practitioners throughout the world to manage painful conditions and TENS equipment can be purchased by the general public so that they can self-administer treatment. There are thousands of experimental and clinical research studies published on TENS and related techniques yet there is uncertainty about the best way to administer TENS in clinical practice. This is because currents used during TENS can be administered in a variety of ways and the findings of research studies have been inconclusive. This book provides guidance on how best to use TENS based on an evaluation of current research evidence. The book covers what TENS is, how it works, and safe and appropriate clinical techniques for many conditions including chronic low back pain, osteoarthritis and cancer pain. It also offers solutions to the problems faced by researchers when trying to design clinical trials on TENS. Accessibility written, Transcutaneous Electrical Nerve Stimulation (TENS) provides a comprehensive coverage of research issues and findings about TENS and will be essential reading for healthcare professionals, practitioners and students.

Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.

An effective state is essential to achieving socio-economic and sustainable development. With the advent of globalization, there are growing pressures on governments and organizations around the world to be more responsive to the demands of internal and external stakeholders for good governance, accountability and transparency, greater development effectiveness, and delivery of tangible results. Governments, parliaments, citizens, the private sector, NGOs, civil society, international organizations and donors are among the stakeholders interested in better performance. As demands for greater accountability and real results have increased, there is an attendant need for enhanced results-based monitoring and evaluation of policies, programs, and projects. This Handbook provides a comprehensive ten-step model that will help guide development practitioners through the process of designing and building a results-based monitoring and evaluation system. These steps begin with a OC Readiness AssessmentOCO and take the practitioner through the design, management, and importantly, the sustainability of such systems. The Handbook describes each step in detail, the tasks needed to complete each one, and the tools available to help along the way."

This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.