Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

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Book Description
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.

Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

Get Book Here

Book Description
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.

Cognitive Science Foundations of Instruction

Cognitive Science Foundations of Instruction PDF Author: Mitchell Rabinowitz
Publisher: Routledge
ISBN: 1135443734
Category : Education
Languages : en
Pages : 277

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Book Description
This volume presents and discusses current research that makes the connection between cognitive theory and instructional application. Addressing two general issues, the first set of chapters specifies the relation between cognitive theory and the development and evaluation of instruction, while the second set deals with the questions involved in understanding and assessing cognitive skills. The outstanding feature of these chapters is that they all present in-depth discussions of the theoretical issues underlying instructional decisions. Many present specific implementations that provide examples of concrete applications of theory. In addition, the settings for implementing these examples span a broad range of instructional areas and environments, illustrating the generality and transferability of the application of theory to practice.

Learning in the Fast Lane

Learning in the Fast Lane PDF Author: Suzy Pepper Rollins
Publisher: ASCD
ISBN: 1416618716
Category : Education
Languages : en
Pages : 187

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Book Description
Too often, students who fail a grade or a course receive remediation that ends up widening rather than closing achievement gaps. According to veteran classroom teacher and educational consultant Suzy Pepper Rollins, the true answer to supporting struggling students lies in acceleration. In Learning in the Fast Lane, she lays out a plan of action that teachers can use to immediately move underperforming students in the right direction and differentiate instruction for all learners—even those who excel academically. This essential guide identifies eight high-impact, research-based instructional approaches that will help you * Make standards and learning goals explicit to students. * Increase students' vocabulary—a key to their academic success. * Build students' motivation and self-efficacy so that they become active, optimistic participants in class. * Provide rich, timely feedback that enables students to improve when it counts. * Address skill and knowledge gaps within the context of new learning. Students deserve no less than the most effective strategies available. These hands-on, ready-to-implement practices will enable you to provide all students with compelling, rigorous, and engaging learning experiences.

Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education

Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education PDF Author: Deborah Loewenberg
Publisher: Rand Corporation
ISBN: 0833034111
Category : Education
Languages : en
Pages : 123

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Book Description
A clear need exists for substantial improvement in mathematics proficiency in U.S. schools. The RAND Mathematics Study Panel was convened to inform the U.S. Department of Education's Office of Educational Research and Improvement on ways to improve the quality and usability of education research and development (R&D). The panel identified three areas for focused R&D: development of teachers' mathematical knowledge used in teaching; teaching and learning of skills needed for mathematical thinking and problem-solving; and teaching and learning of algebra from kindergarten through the 12th grade.

Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309147433
Category : Education
Languages : en
Pages : 399

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Book Description
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.

Error Patterns in Computation

Error Patterns in Computation PDF Author: Robert B. Ashlock
Publisher: Prentice Hall
ISBN:
Category : Education
Languages : en
Pages : 330

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Book Description
This book is the only one of its kind that instructs teachers to identify typical error patterns, to receive feedback on their diagnosis, and to gain insight regarding why a child may have adopted an incorrect procedure. Revised to link content to the new NCTM Standards, this new edition emphasizes the meaning of operations and using the appropriate method of computation. As in previous editions, it retains its focus on placing paper-and pencil instructional activities within the context of problem solving. Chapter topics cover diagnosing misconceptions and error patterns in computation, providing needed instruction in computation, and helping students who have learned error patterns. For mathematics teachers of special education classes or at the middle school level.

Driven by Data

Driven by Data PDF Author: Paul Bambrick-Santoyo
Publisher: John Wiley & Sons
ISBN: 0470548746
Category : Education
Languages : en
Pages : 336

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Book Description
Offers a practical guide for improving schools dramatically that will enable all students from all backgrounds to achieve at high levels. Includes assessment forms, an index, and a DVD.

Teaching Mathematics at Secondary Level

Teaching Mathematics at Secondary Level PDF Author: Tony Gardiner
Publisher: Open Book Publishers
ISBN: 1783741406
Category : Mathematics
Languages : en
Pages : 248

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Book Description
Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

Math Problem Solving in Action

Math Problem Solving in Action PDF Author: Nicki Newton
Publisher: Routledge
ISBN: 1315465035
Category : Education
Languages : en
Pages : 203

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Book Description
In this new book from popular math consultant and bestselling author Dr. Nicki Newton, you’ll learn how to help students become more effective and confident problem solvers. Problem solving is a necessary skill for the 21st century but can be overwhelming for both teachers and students. Dr. Newton shows how to make word problems more engaging and relatable, how to scaffold them and help students with math language, how to implement collaborative groups for problem solving, how to assess student progress, and much more. Topics include: Incorporating problem solving throughout the math block, connecting problems to students’ real lives, and teaching students to persevere; Unpacking word problems across the curriculum and making them more comprehensible to students; Scaffolding word problems so that students can organize all the pieces in doable ways; Helping students navigate the complex language in a word problem; Showing students how to reason about, model, and discuss word problems; Using fun mini-lessons to engage students in the premise of a word problem; Implementing collaborative structures, such as math literature circles, to engage students in problem solving; Getting the whole school involved in a problem-solving challenge to promote schoolwide effort and engagement; and Incorporating assessment to see where students are and help them get to the next level. Each chapter offers examples, charts, and tools that you can use immediately. The book also features an action plan so that you can confidently move forward and implement the book’s ideas in your own classroom. Free accompanying resources are provided on the author's website, www.drnickinewton.com.

Interventions in Mathematics

Interventions in Mathematics PDF Author: Tierney Kennedy
Publisher:
ISBN: 9780987059987
Category :
Languages : en
Pages : 88

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Book Description
Fractions is one concept that consistently proves difficult for students to understand. This intervention program has been designed as a targeted approach to catch kids up on multiple years of fraction concepts that ideally should have been developed in primary school, but which I have found are often missing for students in secondary school. Inside you will find diagnostic tasks to uncover misconceptions that are holding kids back from understanding fractions as well as lessons with unique confrontational questions to fix misconceptions for good. These lessons will show you how to lead kids to abandon their wrong ideas and figure out how fractions work for themselves so that they really understand them and don't forget what we are teaching.