Developing Essential Understanding Of Number And Numeration For Teaching Mathematics In Prekindergarten Grade 2
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Developing Essential Understanding Of Number And Numeration For Teaching Mathematics In Prekindergarten Grade 2
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Author : Barbara J. Dougherty
language : en
Publisher:
Release Date : 2010
Developing Essential Understanding Of Number And Numeration For Teaching Mathematics In Prekindergarten Grade 2 written by Barbara J. Dougherty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Number concept categories.
How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organised around one big idea and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining this understanding is essential because numbers and numeration are building blocks for other mathematical concepts and for thinking quantitatively about the real-world. Essential Understanding series topics include: Number and Numeration for Grades Pre-K-2 Addition and Subtraction for Grades Pre-K-2 Geometry for Grades Pre-K-2 Reasoning and Proof for Grades Pre-K-8 Multiplication and Division for Grades 3-5 Rational Numbers for Grades 3-5 Algebraic Ideas and Readiness for Grades 3-5 Geometric Shapes and Solids for Grades 3-5 Ratio, Proportion and Proportionality for Grades 6-8 Expressions and Equations for Grades 6-8 Measurement for Grades 6-8 Data Analysis and Statistics for Grades 6-8 Function for Grades 9-12 Geometric Relationships for Grades 9-12 Reasoning and Proof for Grades 9-12 Statistics for Grades 9-12
Developing Essential Understanding Of Addition And Subtraction For Teaching Mathematics In Prekindergarten Grade 2
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Author : Janet H. Caldwell
language : en
Publisher: National Council of Teachers of English
Release Date : 2011
Developing Essential Understanding Of Addition And Subtraction For Teaching Mathematics In Prekindergarten Grade 2 written by Janet H. Caldwell and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Addition categories.
What is the relationship between addition and subtraction? How do you know whether an algorithm will always work? Can you explain why order matters in subraction but not in addition or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organised around two big ideas and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining an understanding about addition and subtraction is essential as they are the foundation for students’ later learning of multiplication and division. Essential Understanding Series topics include: Number and Numeration for Grades Pre-K-2 Addition and Subtraction for Grades Pre-K-2 Geometry for Grades Pre-K-2 Reasoning and Proof for Grades Pre-K-8 Multiplication and Division for Grades 3-5 Rational Numbers for Grades 3-5 Algebraic Ideas and Readiness for Grades 3-5 Geometric Shapes and Solids for Grades 3-5 Ratio, Proportion and Proportionality for Grades 6-8 Expressions and Equations for Grades 6-8 Measurement for Grades 6-8 Data Analysis and Statistics for Grades 6-8 Function for Grades 9-12 Geometric Relationships for Grades 9-12 Reasoning and Proof for Grades 9-12 Statistics for Grades 9-12
Planting The Seeds Of Algebra Prek 2
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Author : Monica Neagoy
language : en
Publisher: Corwin Press
Release Date : 2012-04-20
Planting The Seeds Of Algebra Prek 2 written by Monica Neagoy and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Education categories.
Help young minds explore algebraic concepts This book shows teachers how to create a strong foundation in algebra for very young children. Using in-depth math “explorations,” the author unpacks—step by step—the hidden connections to higher algebra. Each exploration contains an elegantly simple grade-banded lesson (on addition, subtraction, patterns, and odd and even numbers), followed by a discussion of the lesson's algebra connections, as well as suggestions for additional problems to explore. Throughout, readers will find: Clear explanations of algebraic connections Specific strategies for teaching the key ideas of algebra Lesson modifications for older or younger students An array of age-appropriate problems and games
Planting The Seeds Of Algebra 3 5
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Author : Monica Neagoy
language : en
Publisher: Corwin Press
Release Date : 2014-12-23
Planting The Seeds Of Algebra 3 5 written by Monica Neagoy and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-23 with Education categories.
'Planting the Seeds of Algebra, 3-5' will empower teachers with theoretical and practical knowledge about both the content and pedagogy of algebraic instruction, and shows them the different faces of algebra as it appears in the early grades.
The Learning And Teaching Of Number
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Author : Rina Zazkis
language : en
Publisher: Taylor & Francis
Release Date : 2021-05-23
The Learning And Teaching Of Number written by Rina Zazkis and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-23 with Education categories.
Numbers are the backbones of mathematics. From 1 to infinity, numbers accompany and underlie the learning of mathematics and research. While perceived as familiar and understood, numbers present fascinating and often mysterious patterns, relationships and pedagogical issues. The Learning and Teaching of Number explores how mathematics education research has addressed issues related to the structure of numbers and number operations and provides a classroom context. It invites readers to explore less-travelled paths through a well-trodden terrain of number. This fascinating book combines mathematical content with pedagogical ideas and research results. Focusing on number, the book illustrates central ideas related to numbers via a variety of tasks at different levels of complexity. The Learning and Teaching of Number will allow the reader to examine and develop personal understanding of number sets and the relationships among them; enhance personal understanding of familiar topics associated with number operations; engage in a variety of tasks and strengthen personal problem-solving skills; enrich their repertoire of mathematical tasks and pedagogical actions; and consider research ideas and results related to teaching numbers, number operations and number relationships. This is a valuable resource for teacher education courses, graduate programs in mathematics education and professional development programs. Teacher trainers and maths teachers will find their personal understanding of numbers and relationships enriched and will draw connections between research and classroom pedagogy which will extend and enhance their teaching.
Developing Essential Understanding Of Rational Numbers For Teaching Mathematics In Grades 3 5
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Author : Carne Barnett-Clarke
language : en
Publisher: National Council of Teachers of English
Release Date : 2010
Developing Essential Understanding Of Rational Numbers For Teaching Mathematics In Grades 3 5 written by Carne Barnett-Clarke and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? How are rational numbers related to irrational numbers, which your students will study in later grades? How much do you know… and how much do you need to know? Helping your upper elementary school students develop a robust understanding of rational numbers requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about rational numbers. It is organised around four big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to rational numbers, 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.
Numbers And Stories
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Author : Rita C. Janes
language : en
Publisher: Corwin Press
Release Date : 2014-04-11
Numbers And Stories written by Rita C. Janes and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-11 with Education categories.
Written by a respected internationally known math professional development professional and a language arts specialist this book will provide a teaching and learning resource book for teachers of children in Kindergarten to Grade 2 (4-8 year olds) that will help all children learn important mathematics based on the Common Core Standards of Mathematics and English Language Arts and reflects the knowledge and skills that young people need for success in college and careers. Rita Janes and Elizabeth Strong are well versed in the theoretical underpinnings of using Children's Literature to teach young children number sense through investigations and problem solving tasks. The book is based on the learning standards and practices in both the CCSS-M and the CCSS-LA. This very practical book will support teachers in integrating children's literature with meaningful mathematical learning experiences and provide a balance of procedural knowledge and understanding.
Integrating Touch Enabled And Mobile Devices Into Contemporary Mathematics Education
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Author : Meletiou-Mavrotheris, Maria
language : en
Publisher: IGI Global
Release Date : 2015-07-13
Integrating Touch Enabled And Mobile Devices Into Contemporary Mathematics Education written by Meletiou-Mavrotheris, Maria and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-13 with Education categories.
Despite increased interest in mobile devices as learning tools, the amount of available primary research studies on their integration into mathematics teaching and learning is still relatively small due to the novelty of these technologies. Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education presents the best practices in mathematics education research and teaching practice by providing an account of current and future trends and issues in mobile mathematics learning and associated technologies and educational methodologies. This edited volume approaches a broad audience including researchers and practitioners interested in the exploitation of mobile technologies in mathematics teaching and learning, as well as mathematics teachers at all levels. This premier reference source compiles the best practices and recommended processes for effectively utilizing the vast capabilities of mobile technologies in the mathematics classroom through a collection of chapters covering topics including, but not limited to, touch-enabled virtual mapping, perceptual learning technologies, mobile teaching, statistics apps for mobile devices, smartphones for the visually impaired, pedagogical and instructional design, and touch screen interfaces in algebraic instruction.
Eyes On Math
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Author : Marian Small
language : en
Publisher: Teachers College Press
Release Date : 2025
Eyes On Math written by Marian Small and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Education categories.
This unique teaching resource provides over 100 engaging, full-color visuals and explains how teachers can use each image to stimulate mathematics learning, to explain mathematical concepts, and to assess students’ mathematical understanding in grades K–8. Readers are provided with a strong mathematical background, copies of the visuals they can download and use directly, and helpful questions to raise with their students. Expected answers for each question and follow-up extensions are also provided. New to this second edition are suggestions for Notice and Wonder stimuli to get mathematical conversations started, with suggestions for teacher responses and probes, and suggestions for visuals that students can create to help teachers assess comprehension. This user-friendly book will help teachers find new ways to clarify concepts that students find difficult. It will also help teachers working with students with low reading ability, including English language learners and special education students. Book Features: 130 visuals, including color artwork and graphics.Questions and tasks to use with students to lead the instructional conversation.Expected answers and explanations of why each question is important.Prompts for students to show their understanding of a concept by using visuals.Important mathematical background and context. “The visual models in Eyes on Math allow students to see the interconnectedness of mathematical ideas, and the provocative images and stimulating questions spark rich classroom conversations. This is a resource that every teacher should have in their library. Kudos to Small and Lin for making an amazing book even better!” —Patrick Vennebush, Chief Learning Officer, The Math Learning Center
The Math Pact Elementary
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Author : Karen S. Karp
language : en
Publisher: Corwin Press
Release Date : 2020-09-19
The Math Pact Elementary written by Karen S. Karp and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-19 with Education categories.
A school-wide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid "rules that expire"—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics!