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.


Grandfather Tang's Story

Grandfather Tang's Story

Author: Ann Tompert

Publisher: Knopf Books for Young Readers

Published: 1990

Total Pages: 38

ISBN-13: 051757487X

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Grandfather tells a story about shape-changing fox fairies who try to best each other until a hunter brings danger to both of them.


Culturally Responsive Teaching

Culturally Responsive Teaching

Author: Geneva Gay

Publisher: Teachers College Press

Published: 2010

Total Pages: 321

ISBN-13: 0807750786

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The achievement of students of color continues to be disproportionately low at all levels of education. More than ever, Geneva Gay's foundational book on culturally responsive teaching is essential reading in addressing the needs of today's diverse student population. Combining insights from multicultural education theory and research with real-life classroom stories, Gay demonstrates that all students will perform better on multiple measures of achievement when teaching is filtered through their own cultural experiences. This bestselling text has been extensively revised to include expanded coverage of student ethnic groups: African and Latino Americans as well as Asian and Native Americans as well as new material on culturally diverse communication, addressing common myths about language diversity and the effects of "English Plus" instruction.


How Big Is a Foot?

How Big Is a Foot?

Author: Rolf Myller

Publisher: Yearling

Published: 2009-07-01

Total Pages: 42

ISBN-13: 0307567710

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The perfect book to understand standing six feet apart! Follow the story about the King who wants to give the Queen something special for her birthday. The Queen has everything, everything except a bed. The trouble is that no one in the Kingdom knows the answer to a very important question: How Big is a Bed? because beds at the time had not yet been invented. The Queen's birthday is only a few days away. How can they figure out what size the bed should be? How can the people figure out how to measure? Readers will learn it's not that difficult and that everyone can learn to do it.


Powerful Problem Solving

Powerful Problem Solving

Author: Max Ray

Publisher: Heinemann Educational Books

Published: 2013

Total Pages: 0

ISBN-13: 9780325050904

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How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray-Riek and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core: communicating ideas and listening to the reflections of others estimating and reasoning to see the "big picture" of a problem organizing information to promote problem solving using modeling and representations to visualize abstract concepts reflecting on, revising, justifying, and extending the work. Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems. Read a sample chapter.


Number Sense Routines

Number Sense Routines

Author: Jessica F. Shumway

Publisher: Stenhouse Publishers

Published: 2011

Total Pages: 194

ISBN-13: 1571107908

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Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.


Routines for Reasoning

Routines for Reasoning

Author: Grace Kelemanik

Publisher: Heinemann Educational Books

Published: 2016

Total Pages: 0

ISBN-13: 9780325078151

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Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.


Illustrative Mathematics for Class 1

Illustrative Mathematics for Class 1

Author: R. S. Dhauni

Publisher: Goyal Brothers Prakashan

Published: 2024-01-02

Total Pages: 176

ISBN-13: 9357263748

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Illustrative Mathematics for Primary Classes is an exciting and innovative series which is based on the latest features of the National Education Policy (NEP) 2020 and National Curriculum Framework (NCF) 2023. This series is suitable for all schools affiliated with CBSE, New Delhi. Each chapter has been meticulously crafted to conform with the NCF's Panchpadi, ensuring a comprehensive and cutting-edge learning experience. The concept based age-appropriate activities and assessment section are based on Panchakosha and Pramanas, aiming for the holistic development of the learner. To improve the learning experience, we have seamlessly incorporated 21st century skills and the Sustainable Development Goals (SDGs) into this edition. The components of this series are: • Illustrative Mathematics Books 1 to 5 for primary classes (with online support). • Illustrative Mathematics Teacher's Resource Books 1 to 5 for primary classes. Salient Features of the books in this series are: • A graded and spiralling approach has been used, keeping in mind the age and level of understanding of the child. • Eye-catching illustrations and a child-friendly layout capture the imagination of the child and create an interest in the subject. • Each chapter begins with the heading Warm Up, which refreshes the concepts learnt in the previous class. • Maths Lab Activity helps the children develop different problem-solving strategies. • Puzzles I Riddles encourage children to think critically, analyse information, and apply problem-solving strategies to find solutions. • Games/ Activities to enhance engagement, learning retention, and critical thinking skills while making learning more enjoyable. • Art Integration Activities foster creativity, enhance comprehension, and connect mathematical concepts with Art and Culture. • Sustainable Development Goals (SDGs) to develop insights into critical issues around the world such as poverty, inequality, and environmental sustainability to create a better future for all. • Multiple Choice Questions (MCQs) for better understanding of the lesson. • Value-Based Questions to inculcate moral values in the children. • Fun Time contains out of the box questions which challenge the understanding capacity of the children. • Assignments under Mental Maths not only enhance the mathematical and calculation skills of the children but also cement the concepts learnt. • Competency-Based questions to improve analytical and logical reasoning, and observation skills. • Case Study Based questions to inspire the students to apply the mathematical knowledge acquired, to solve real life problems. Salient Features of the Teacher's Resource Books are: • Learning Objectives of the Lesson • Overview of the Lesson • Teaching-Learning Strategies • Hints for some Selected Problems Salient Features of Online Support are: • Animated Videos/Video Lectures • Interactive Exercises • Chapter-wise Worksheets • Maths Glossary It is hoped that the series will meet the requirements of students, teachers and parents alike. Suggestions and constructive criticism for the improvement of the books would be highly appreciated. -The Publishers