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This second edition is a must-read for today's mathematics teachers offering research-based strategies and best practices that are critical and highly effective in mathematics instruction. This invaluable resource provides practical suggestions, resources, and templates to support the areas of classroom management, instructional planning, content and practice standard implementation, assessment, and differentiation, as well as methods to build students' conceptual understanding. It also guides teachers in using the Professional Learning Community model effectively in order to support professional growth and student achievement. With a focus on student thinking and learning, this book is an essential guide for all educators.
Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: by analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the case studies of the title. Just as a good mathematician seeks both to understand the details of a particular problem and to put it in a broader context, the examples presented here are chosen to offer a serious set of detailed teaching issues and to afford analysis from a broad perspective. Each case raises a variety of pedagogical and communication issues that may be explored either individually or in a group facilitated by a faculty member. The methodology of case studies is widely used in areas such as business and law. The consideration of the mathematics cases presented here should help readers to develop teaching skills for their own classrooms.
Mathematics Teaching Today: Improving Practice, Improving Student Learning, Second Edition, updates the NCTM groundbreaking publication Professional Standards for Teaching Mathematics, first published in 1991. Like the original, this updated volume articulates a vision for effective mathematics teaching and describes the support systems that are required to achieve that vision. This book delineates Standards for various aspects of the teaching profession, including teachers' practise, professional supervision, collegial interaction and career-long professional growth. However, more than curriculum standards documents are needed to improve student learning and achievement. Teaching matters. Therefore, exploring what goes on in mathematics classrooms is essential to identifying issues and looking for opportunities for improvement. Principles and Standards for School Mathematics provides a framework for professional practise that supports the NCTM's vision of more and better mathematics for all children. This book expounds on that framework, explicating the roles of teachers, supervisors, teacher educators, mathematicians, professional developers, parents, politicians, community members and others in improving the teaching and learning of mathematics. The Standards offer a vision for high-quality mathematics teaching and support structures for teachers. What matters in the long run, however, is how classrooms across North America are transformed and how teaching practises evolve to address the mathematical learning needs of children.
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Mathematics today is approaching a state of cnSIS. As the demands of science and society for mathematical literacy increase, the percentage of American college students intending to major in mathematics plummets and achievement scores of entering college students continue thelt unremit ting decline. As research in core mathematics reaches unprecedented heights of power and sophistication, the growth of diverse applied special ties threatens to fragment mathematics into distinct and frequently hostile mathematical sciences. These crises in mathematics presage difficulties for science and engineer ing, and alarms are beginning to sound in the scientific and even in the political communities. Citing a trend towards "virtual scientific and techno logical illiteracy" and a "shrinking of our national commitment to excel lence . . . in science, mathematics and technology," a recent study con ducted for the President by the U. S. National Science Foundation and Department of Education warns of serious impending shortcomings in public understanding of science. "Today people in a wide range of non scientific . . . professions must have a greater understanding of technology than at any time in our history. Yet our educational system does not now provide such understanding. " The study goes on to conclude that present trends pose great risk of manpower shortages in the mathematical and engineering sciences. "The pool from which our future scientific and engineering personnel can be drawn is . . . in danger of becoming smaller, even as the need for such personnel is increasing. " It is time to take a serious look at mathematics tomorrow.
New teachers and anyone interested in best practices for mathematics instruction will score big with this useful resource that puts it all together in one easy-to-use format. Boost your professional resource library with this up-to-date, research-based guide based on solid research and proven methodology. This resource equips teachers with sound educational strategies and resources, and provides interactive elements while promoting a thorough understanding of mathematics and its importance. In addition, this resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills and supports core concepts of STEM instruction. 200pp.
Practice makes perfect! With this invaluable classroom resource, fifth grade students will become comfortable taking state mathematics tests and will develop their higher-order thinking skills through extensive practice. These practice sets include higher-level questions and multi-step math problems and are the perfect test preparation for Partnership for Assessment of Readiness for College and Careers (PARCC), Smarter Balanced Assessment Consortium (SBAC), and other state testing.
This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.
Practice makes perfect! With this invaluable classroom resource, fourth grade students will become comfortable taking state mathematics tests and will develop their higher-order thinking skills through extensive practice. These practice sets include higher-level questions and multi-step math problems and are the perfect test preparation for Partnership for Assessment of Readiness for College and Careers (PARCC), Smarter Balanced Assessment Consortium (SBAC), and other state testing.