Standards-Based Math, Grades 7 - 8

Standards-Based Math, Grades 7 - 8

Author: Torrance

Publisher: Carson-Dellosa Publishing

Published: 2012-10-22

Total Pages: 130

ISBN-13: 1624420850

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The top-selling teacher resource line, The 100+ Series(TM) features over 100 reproducible activities in each book! Based on NCTM standards, these challenging and fun reproducible activities will utilize codes, puzzles, games, and artwork to strengthen students' mathematics aptitudes. Topics range from number exploration to geometry, algebra, measurement, and data analysis and probability. Students will learn to convey math concepts and ideas, determine financial pyramid schemes, prime numbers, theorems, stock investments and the interest paid, various uses of data, and true randoms. Each page contains a notation of the NCTM standard being addressed and the process standards are woven into the exercises on each page. An answer key is also included and it features 128 perforated pages.


Helping Children Learn Mathematics

Helping Children Learn Mathematics

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 53

ISBN-13: 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.


Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood

Author: National Research Council

Publisher: National Academies Press

Published: 2009-11-13

Total Pages: 399

ISBN-13: 0309147433

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Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.


Common Core Math Workouts, Grade 8

Common Core Math Workouts, Grade 8

Author: Mace

Publisher: Mark Twain Media

Published: 2013-12-01

Total Pages: 68

ISBN-13: 1622234987

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Each page in the Common Core Math Workouts for grade 8 contains two “workouts”–one for skills practice and one for applying those skills to solve a problem. These workouts make great warm-up or assessment exercises. They can be used to set the stage and teach the content covered by the standards. They can also be used to assess what students have learned after the content has been taught. Content is aligned with the Common Core State Standards for Mathematics and includes Geometry, Ratio and Proportional Relationships, The Number System, Expressions and Equations, and Statistics and Probability. The workbooks in the Common Core Math Workouts series are designed to help teachers and parents meet the challenges set forth by the Common Core State Standards. They are filled with skills practice and problem-solving practice exercises that correspond to each standard. With a little time each day, your students will become better problem solvers and will acquire the skills they need to meet the mathematical expectations for their grade level.


Mine the Gap for Mathematical Understanding, Grades 6-8

Mine the Gap for Mathematical Understanding, Grades 6-8

Author: John SanGiovanni

Publisher: Corwin Press

Published: 2017-09-12

Total Pages: 409

ISBN-13: 1506379834

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Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni and Jennifer Rose Novak help us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. The authors lay out 180 high-quality tasks aligned to the standards and big ideas of Grades 6–8 mathematics, including number systems, integers, ratio and proportion, equations and expressions, geometry, and statistics and probability. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task four student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning, better at discerning the quality and clarity of students’ understanding, and better at planning teaching based on the gaps you see.


Standards-based School Mathematics Curricula

Standards-based School Mathematics Curricula

Author: Sharon L. Senk

Publisher: Taylor & Francis

Published: 2020-07-24

Total Pages: 536

ISBN-13: 1000106152

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The Curriculum and Evaluation Standards for School Mathematics published by the National Council of Teachers of Mathematics in 1989 set forth a broad vision of mathematical content and pedagogy for grades K-12 in the United States. These Standards prompted the development of Standards-based mathematics curricula. What features characterize Standards-based curricula? How well do such curricula work? To answer these questions, the editors invited researchers who had investigated the implementation of 12 different Standards-based mathematics curricula to describe the effects of these curricula on students' learning and achievement, and to provide evidence for any claims they made. In particular, authors were asked to identify content on which performance of students using Standards-based materials differed from that of students using more traditional materials, and content on which performance of these two groups of students was virtually identical. Additionally, four scholars not involved with the development of any of the materials were invited to write critical commentaries on the work reported in the other chapters. Section I of Standards-Based School Mathematics Curricula provides a historical background to place the current curriculum reform efforts in perspective, a summary of recent recommendations to reform school mathematics, and a discussion of issues that arise when conducting research on student outcomes. Sections II, III, and IV are devoted to research on mathematics curriculum projects for elementary, middle, and high schools, respectively. The final section is a commentary by Jeremy Kilpatrick, Regents Professor of Mathematics Education at the University of Georgia, on the research reported in this book. It provides a historical perspective on the use of research to guide mathematics curriculum reform in schools, and makes additional recommendations for further research. In addition to the references provided at the end of each chapter, other references about the Standards-based curriculum projects are provided at the end of the book. This volume is a valuable resource for all participants in discussions about school mathematics curricula--including professors and graduate students interested in mathematics education, curriculum development, program evaluation, or the history of education; educational policy makers; teachers; parents; principals and other school administrators. The editors hope that the large body of empirical evidence and the thoughtful discussion of educational values found in this book will enable readers to engage in informed civil discourse about the goals and methods of school mathematics curricula and related research.