Download or read book Developing Essential Understanding of Ratios Proportions and Proportional Reasoning for Teaching Mathematics in Grades 6 8 written by Joanne Elizabeth Lobato and published by National Council of Teachers of English. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A series for teaching mathematics."--P. [1] of cover.
Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2006-08-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
Download or read book Parallel Curriculum Units for Mathematics Grades 6 12 written by Jann H. Leppien and published by Corwin Press. This book was released on 2011-04-07 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximize your mathematics curriculum to challenge all students This collection of lessons from experienced teachers provides multifaceted examples of rigorous learning opportunities for mathematics students in Grades 6–12. The four sample units focus on fractions, linear programming, geometry, and quadratic relationships. The authors provide user-friendly methods for instruction and demonstrate how to differentiate the lessons for the benefit of all students. Included are standards-based strategies that guide students through: Understanding secondary mathematics concepts Discovering connections between mathematics and other subjects Developing critical thinking skills Connecting mathematics learning to society through the study of real-world data, proportional reasoning, and problem solving
Download or read book Number Concepts and Operations in the Middle Grades written by James Hiebert and published by Routledge. This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many students, learning mathematics in the middle grades represents a watershed activity. If they fall behind or fail at this point, they are unlikely to recover and to pursue a career in the sciences or other mathematics-dependent occupations. The authors reveal at least two of the reasons for this watershed experience. First, the content itself is much more complex than that at the primary grades, a complexity that is only now being fully appreciated. Second, conventional instruction often is based on faulty assumptions about the way in which the content is learned. The chapters present the latest understanding of the nature of the mathematics content in the middle grades and the processes by which it is learned.
Download or read book Ratio and Proportion written by David Ben-Chaim and published by Springer Science & Business Media. This book was released on 2012-07-30 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ratio and Proportion—Research and Teaching in Mathematics Teachers’ Education offers its readers an intellectual adventure where they can acquire invaluable tools to turn teaching ratio and proportion to professionals and school children into an enjoyable experience. Based on in-depth research, it presents a deep, comprehensive view of the topic, focusing on both the mathematical and psychological-didactical aspects of teaching it. The unique teaching model incorporates both theoretical and practical knowledge, allowing instructors to custom-design teacher courses according to their speci?c needs. The book reports on hands-on experience in the college classes plus teachers’ experience in the actual classroom setting. An important feature is the extensive variety of interesting, meaningful authentic activities. While these activities are on a level that will engage pre- and in-service mathematics teachers in training, most can also be utilized in upper elementary and middle school classes. Accompanying the majority of these activities are detailed remarks, explanations, and solutions, along with creative ideas on how to conduct and expand the learning adventure. While primarily written for educators of mathematics teachers, this book can be an invaluable source of information for mathematics teachers of elementary and middle school classes, pre-service teachers, and mathematics education researchers.
Download or read book If You Hopped Like A Frog written by David M. Schwartz and published by Scholastic Inc.. This book was released on 2017-03-28 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: How far could you hop?If you hopped like a frog...you could jump from home plate to first base in one mighty leap!Did you know that a frog can jump 20 times its body length? Or that an ant can lift an object 50 times its own weight?Read this book and find out what you could do -- if you had the amazing abilities of animals! And there are endless possibilities for making more hilarious comparisons of your own. Get ready for ratio and proportion like you've never seen them before!
Download or read book N Gen Math 7 Bundle 20 written by Kirk Weiler and published by . This book was released on 2021-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Glencoe Math Course 1 Student Edition written by McGraw-Hill Education and published by McGraw-Hill Education. This book was released on 2014-06-06 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Glencoe Math Student Edition is an interactive text that engages students and assist with learning and organization. It personalizes the learning experience for every student. The write-in text, 3-hole punched, perfed pages allow students to organize while they are learning.
Download or read book Counting on Frank written by Rod Clement and published by Gareth Stevens Publishing LLLP. This book was released on 1990-12-15 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: A boy and his dog present amusing counting, size comparison, and mathematical facts.
Download or read book Professional Standards for Teaching Mathematics written by National Council of Teachers of Mathematics. Commission on Teaching Standards for School Mathematics and published by National Council of Teachers of Mathematics. This book was released on 1991 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authorized Teacher resource for Mathematics, K-12 in Alberta. 1991-2001.
Download or read book Springboard Mathematics written by College Entrance Examination Board and published by . This book was released on 2014 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: SpringBoard Mathematics is a highly engaging, student-centered instructional program. This revised edition of SpringBoard is based on the standards defined by the College and Career Readiness Standards for Mathematics for each course. The program may be used as a core curriculum that will provide the instructional content that students need to be prepared for future mathematical courses.
Download or read book Enriching Your Math Curriculum written by Lainie Schuster and published by Math Solutions. This book was released on 2010 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents practices and routines designed to support and nourish teachers as they prepare and present a meaningful year of mathematics instruction for fifth-grade mathematicians. Offers activities, lessons, and narration that can be easily adapted or adjusted to fit the particular needs of the students or the requirements of a prescribed curriculum"--
Download or read book Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten grade 8 written by John K. Lannin and published by National Council of Teachers of English. This book was released on 2011 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do your students determine whether a mathematical statement is true? Do they rely on a teacher, a textbook or various examples? How can you encourage them to connect examples, extend their ideas to new situations that they have not yet considered and reason more generally? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of mathematical reasoning requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about mathematical reasoning. It is organised around one big idea, supported by multiple smaller, interconnected ideas - essential understandings.Taking you beyond a simple introduction to mathematical reasoning, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students' understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Download or read book Building Proportional Reasoning Across Grades and Math Strands K 8 written by Marian Small and published by Teachers College Press. This book was released on 2015-04-10 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although proportional reasoning is not formally introduced as a topic in the Common Core and other mathematics curricula until 6th grade, introducing its fundamental ideas in the early grades helps students develop essential skills in ratios, percentages, and other proportional representations when they reach the upper grades. The author takes this complex subject and crafts examples and questions that help teachers see the larger purpose in teaching concepts, such as unitizing, and how that understanding is essential for more complex ideas, such as ratios. Teachers and vertical teams can see how the concepts can build year after year. This new resource by well-known professional developer Marian Small suggests questions that are both interesting for students and useful for providing diagnostic information to teachers. Chapters are organized by grade level (K-8) around the Common Core State Standards for Mathematics to help teachers use the resource more easily.
Download or read book Common Core Mathematics in a PLC at WorkTM Grades 6 8 written by Diane J. Briars and published by Solution Tree Press. This book was released on 2012-10-26 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This teacher guide illustrates how to sustain successful implementation of the Common Core State Standards for mathematics, grades 6–8. Discover what students should learn and how they should learn it at each grade level. Comprehensive research-affirmed analysis tools and strategies will help you and your collaborative team develop and assess student demonstrations of deep conceptual understanding and procedural fluency.
Download or read book Math That Matters written by Marian Small and published by Teachers College Press. This book was released on 2019-05-17 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this insightful math resource for grades 3–8, popular professional developer Marian Small helps teachers understand and facilitate meaningful assessments to advance student understandings. Small shows new and veteran teachers how to do three fundamental things well: identify the most important math to assess; construct meaningful assessments—both formative and summative—to measure student understanding; and provide students with feedback that is clear, timely, and specific. Examples for each grade level are provided, along with details on how to pose questions, analyze errors, and help students understand and learn from their mistakes. The book provides specific guidance for when and how to offer feedback on both correct and incorrect answers in order to advance students’ mathematical thinking. Like other Marian Small bestsellers, Math That Matters combines her special brand of lucid explanation of difficult concepts with fresh and engaging activities. “Our understanding of the power of assessment to improve learning has deepened significantly in the past two decades. . . . Marian Small draws upon the critical research behind this understanding to explain what effective practice looks like. It is essential reading for all elementary educators and has the potential to profoundly affect the quality of mathematics assessment in our schools.” —From the Foreword by Damian Cooper, president, Plan Teach Assess “Teachers are often clamoring for concise classroom assessments that can capture students’ conceptual understanding. Clamor no more! Math That Matters is a timely response to that need. Marian Small removes the mystery of how to engage students in learning while collecting assessment data that drive next instructional plans.” —Karen Karp, Johns Hopkins University “The beauty of this book is that it is simple enough for brand new teachers and complex enough for experienced teachers. The author offers an amazing gift by linking assessment ideas directly to common state standards.” —Felicia Darling, Santa Rosa Junior College
Download or read book MathLinks 8 written by Bruce McAskill and published by . This book was released on 2008 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
