Developing Essential Understanding Of Rational Numbers For Teaching Mathematics In Grades 3 5
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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.
Common Core Mathematics In A Plc At Work Grades 3 5
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Author : Timothy D. Kanold
language : en
Publisher: Solution Tree Press
Release Date : 2012-04-12
Common Core Mathematics In A Plc At Work Grades 3 5 written by Timothy D. Kanold and has been published by Solution Tree Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-12 with Education categories.
This teacher guide illustrates how to sustain successful implementation of the Common Core State Standards for mathematics, grades 3–5. 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.
Developing Essential Understanding Of Proof And Proving For Teaching Mathematics In Grades 9 12
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Author : Amy B. Ellis
language : en
Publisher: National
Release Date : 2012
Developing Essential Understanding Of Proof And Proving For Teaching Mathematics In Grades 9 12 written by Amy B. Ellis and has been published by National this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Education categories.
Focuses on essential knowledge for teachers about proof and the process of proving. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to proof and the activities involved in proving, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students...and teachers.
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.
Standards For Preparing Teachers Of Mathematics
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Author : Association of Mathematics Teacher Educators (AMTE)
language : en
Publisher: IAP
Release Date : 2020-02-01
Standards For Preparing Teachers Of Mathematics written by Association of Mathematics Teacher Educators (AMTE) and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-01 with Mathematics categories.
Also available in a black + white version AMTE, in the Standards for Preparing Teachers of Mathematics (SPTM), puts forward a national vision of initial preparation for all Pre-K–12 teachers who teach mathematics. SPTM contains critical messages for all who teach mathematics, including elementary school teachers teaching all disciplines, middle and high school mathematics teachers who may teach mathematics exclusively, special education teachers, teachers of emergent multilingual students, and other teaching professionals and administrators who have responsibility for students’ mathematical learning. SPTM has broad implications for teacher preparation programs, in which stakeholders include faculty and administrators in both education and mathematics at the university level; teachers, principals, and district leaders in the schools with which preparation programs partner; and the communities in which preparation programs and their school partners are situated. SPTM is intended as a national guide that articulates a vision for mathematics teacher preparation and supports the continuous improvement of teacher preparation programs. Such continuous improvement includes changes to preparation program courses and structures, partnerships involving schools and universities and their leaders, the ongoing accreditation of such programs regionally and nationally, and the shaping of state and national mathematics teacher preparation policy. SPTM is also designed to inform assessment practices for mathematics teacher preparation programs, to influence policies related to preparation of teachers of mathematics, and to promote national dialogue around preparing teachers of mathematics. The vision articulated in SPTM is aspirational in that it describes a set of high expectations for developing a well-prepared beginning teacher of mathematics who can support meaningful student learning. The vision is research-based and establishes a set of goals for the continued development and refinement of a mathematics teacher preparation program and a research agenda for the study of the effects of such a program. SPTM contains detailed depictions of what a well-prepared beginning teacher knows and is able to do related to content, pedagogy, and disposition, and what a strong preparation program entails with respect to learning experiences, assessments, and partnerships. Stakeholders in mathematics teacher preparation will find messages related to their roles. Standards for Preparing Teachers of Mathematics includes standards and indicators for teacher candidates and for the design of teacher preparation programs. SPTM outlines assessment practices related to overall quality, program effectiveness, and candidate performance. SPTM describes specific focal practices by grade band and provides guidance to stakeholders regarding processes for productive change.
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
Understanding The Math We Teach And How To Teach It K 8
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Author : Small Marian
language : en
Publisher: Taylor & Francis
Release Date : 2025-08-26
Understanding The Math We Teach And How To Teach It K 8 written by Small Marian and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-26 with Education categories.
Dr. Marian Small has written a landmark book for a wide range of educational settings and audiences, from pre-service math methods courses to ongoing professional learning for experienced teachers. Understanding the Math We Teach and How to Teach It, K-8 focuses on the big mathematical ideas in elementary and middle school grade levels and shows how to teach those concepts using a student-centered, problem-solving approach. Comprehensive and Readable: Dr. Small helps all teachers deepen their content knowledge by illustrating core mathematical themes with sample problems, clear visuals, and plain language Big Focus on Student Thinking: The book's tools, models. and discussion questions are designed to understand student thinking and nudge it forward. Particularly popular features include charts listing common student misconceptions and ways to address them, a table of suggested manipulatives for each topic, and a list of related children's book Implementing Standards That Make Sense: By focusing on key mathematics principles, Understanding the Math We Teach and How to Teach It, K-8 helps to explain the "whys" of state standards and provides teachers with a deeper understanding of number sense, operations, algebraic thinking, geometry, and other critical topics Dr. Small, a former dean with more than 40 years in the field, conceived the book as an essential guide for teachers throughout their career: "Many teachers who teach at the K-8 level have not had the luxury of specialist training in mathematics, yet they are expected to teach an increasingly sophisticated curriculum to an increasingly diverse student population in a climate where there are heightened public expectations. They deserve help."
Research Advances In The Mathematical Education Of Pre Service Elementary Teachers
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Author : Gabriel J. Stylianides
language : en
Publisher: Springer
Release Date : 2017-11-16
Research Advances In The Mathematical Education Of Pre Service Elementary Teachers written by Gabriel J. Stylianides and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-16 with Education categories.
This book examines new trends and developments in research related to the mathematical education of pre-service elementary teachers, and explores the implications of these research advances for theory and practice in teacher education. The book is organized around the following four overarching themes: pre-service teachers’ mathematics content and mathematics-specific pedagogical preparation; professional growth through activities and assessment tools used in mathematics teacher preparation programs; pre-service mathematics teachers’ knowledge and beliefs; and perspectives on noticing in the preparation of elementary mathematics teachers. Including contributions from researchers working in 11 different countries, the book offers a forum for discussing and debating the state of the art regarding the mathematical preparation of pre-service elementary teachers. By presenting and discussing the findings of research conducted in different countries, the book offers also opportunities to readers to learn about varying teacher education practices around the world, such as: innovative practices in advancing or assessing teachers’ knowledge and beliefs, similarities and differences in the formal mathematics education of teachers, types of and routes in teacher education, and factors that can influence similarities or differences.
Developing Essential Understanding Of Ratios Proportions And Proportional Reasoning For Teaching Mathematics In Grades 6 8
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Author : Joanne Elizabeth Lobato
language : en
Publisher: National Council of Teachers of English
Release Date : 2010
Developing Essential Understanding Of Ratios Proportions And Proportional Reasoning For Teaching Mathematics In Grades 6 8 written by Joanne Elizabeth Lobato 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 Curriculum planning categories.
"A series for teaching mathematics."--P. [1] of cover.
Developing Essential Understanding Of Algebraic Thinking For Teaching Mathematics In Grades 3 5
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Author : Maria L. Blanton
language : en
Publisher:
Release Date : 2011
Developing Essential Understanding Of Algebraic Thinking For Teaching Mathematics In Grades 3 5 written by Maria L. Blanton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Algebra categories.
Like algebra at any level, early algebra is a way to explore, analyse, represent and generalise mathematical ideas and relationships. This book shows that children can and do engage in generalising about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential understandings for developing algebraic thinking in grades 3-5. The big ideas relate to the fundamental properties of number and operations, the use of the equals sign to represent equivalence, variables as efficient tools for representing mathematical ideas, quantitative reasoning as a way to understand mathematical relationships and functional thinking to generalise relationships between covarying quantities. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers’ reflection.