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Offers coverage of the higher course. This series includes multiple-choice questions that offer support for the multiple-choice paper. It contains worked examples and exam questions that help consolidate learning and provide exam preparation.
"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
Building Powerful Numeracy for Middle and High School Students brought the world of research on numeracy at the elementary level to the secondary level, helping teachers build numeracy in their students and showing how that work supports students in understanding higher math. Now, Pam Harris continues her work by offering lessons and activities that promote her strategies for teaching as much mathematics as possible with as little memorization as possible. Two types of activities for building numeracy are included in this workbook: Student Workouts include reproducible worksheets that students can work on independently or in pairs, followed by robust class discussion to promote understanding of the ideas. Teacher Directed Activities are whole-class mini-lessons designed to help students construct numerical relationships as they work with the teacher. While the student workouts provide starting points for students to build important numerical relationships and choose effective strategies, the teacher directed activities provide opportunities for discussing, comparing, modeling, verbalizing strategies, finding and describing patterns, and making generalizations. Together they help develop the mathematical habits of mind that students need for higher math.
As secondary math teachers, we're often frustrated by the lack of true number sense in our students. Solid research at the elementary level shows how to help all students become mathematically proficient by redefining what it means to compute with number sense. Pam Harris has spent the past ten years scrutinizing the research and using the resulting reform materials with teachers and students, seeing what works and what doesn't work, always with an eye to success in higher math. This book brings these insights to the secondary world, with an emphasis on one powerful goal: building numeracy.--Page [4] of cover
Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author's university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a "toolbox for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical). - Delivers a focused and concise treatment on the underlying theory and direct application of mathematical methods so that the reader has a collection of important mathematical tools that are easily understood and ready for application as a practicing engineer - The book material has been derived from class-tested courses presented over many years in applied mathematics for engineering students (all problem sets and exam questions given for the course(s) are included along with a solution manual) - Provides fundamental theory for applied mathematics while also introducing the application of commercial software packages as modern tools for engineering application, including: EXCEL (statistical analysis); MAPLE (symbolic and numeric computing environment); and COMSOL (finite element solver for ordinary and partial differential equations)
Discusses the learning and teaching of mathematics in light of the recommendations set forth in the National Council of Teachers of Mathematic's standards.
Take advantage of what this volume offers. You will be in a better position to make well-informed decisions because you will be able to see the full sweep of what constitutes quality professional development for mathematics and science teachers. - Barbara Miller Education Development Center, Inc. You've decided it's time for something different. A new way to teach mathematics and science that supports higher achievement in all students. And that means rethinking how you provide teacher professional development. Sounds like a tough task, but you've got a guide to doing it right. Mathematics and Science for a Change collects the wisdom of successful initiatives into one concise guide to making successful change. Mathematics and Science for a Changedescribes the lessons learned by effective National Science Foundation - funded Local Systemic Change programs. Iris Weiss and Joan Pasley support your initiative with key practices drawn from a careful examination of more than ten years of case histories and data. With their observations, you'll: lay the groundwork for change by diagnosing your building or district needs and establishing a vision for high-quality mathematics and science instruction that is consistent with national standards design professional development that achieves your goals by deepening teacher content knowledge, modeling best-practice instruction, and encouraging more productive assessments launch and sustain your professional development model by identifying, preparing, and supporting PD providers then uncovering and nurturing leadership among your staff bolster your improvement effort by enlisting key school or district leaders, partnering with the mathematics and science community outside your system, and engaging the support of parents. Weiss and Pasley fill Mathematics and Science for a Change with on-the-ground advice and the specific strategies of top initiatives around the country. Everything in their book helps you smoothly meet the most important objective of any change program: helping every student learn mathematics and science better.
Raising students' math achievement doesn't mean ripping up your planning book and starting over. In Accessible Mathematics Steven Leinwand (author of Sensible Mathematics) shows how small shifts in the good teaching you already do can make a big difference in student learning. Steve focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to your teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking. But all of them will improve your students' performance. Thoroughly practical and ever-aware of the limits of teachers' time, Steve gives you everything you need to put his commonsense ideas to use immediately. His extensive planning advice will help you streamline your teaching to get more from everything you do. Classroom examples from every grade level model teaching language and instructional moves. And his suggestions for professional learning help increase your effectiveness through the power of collaboration. Steven Leinwand shares your priority: raising the mathematical understanding and achievement of every one of your students. Read Accessible Mathematics, try his 10 suggestions in your practice, and discover how minor shifts in your teaching can put student learning into high gear.
"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.
"If education is to be the learning profession, then we must walk the walk of learners. The bottom line is not perfection, constant success, and high test scores. The bottom line is creating a culture in which learning, innovation, and collaboration are the norms-a learning culture. When adults in schools create such environments, children will thrive." -Lucy West and Antonia Cameron How can teacher leaders cultivate an adult learning environment that will upgrade teaching capacity system-wide, and ultimately improve student learning in every classroom? Lucy West and Toni Cameron turn decades of experience designing and implementing coaching initiatives into a practical resource for transforming school culture and inspiring true learning at every level. Agents of Change provides coaches, administrators, and teacher leaders with specific techniques, tools, and strategies for working with individual classroom teachers to plan and co-teach lessons, reflect on them afterwards, and find evidence of student learning. Lucy and Toni argue that when we infuse rich learning conversations into the professional discourse via coaching, study lessons, and regular meeting times for professionals to work collaboratively, we're able to examine what it takes on a day to day basis to reach every student in our classrooms. The transformative potential of content coaching to improve both teacher and student learning on a school-wide level has never been more clear. Purchase includes free access to an online video case study. Read a sample chapter