Developing Essential Understanding Of Addition And Subtraction For Teaching Mathematics In Prekindergarten Grade 2
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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
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
The Mathematics Lesson Planning Handbook Grades K 2
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Author : Beth McCord Kobett
language : en
Publisher: Corwin Press
Release Date : 2018-02-09
The Mathematics Lesson Planning Handbook Grades K 2 written by Beth McCord Kobett and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-09 with Education categories.
"This book brings together the best of Visible Learning and the teaching of mathematics. The chapters on learning intentions, success criteria, misconceptions, formative evaluation, and knowing thy impact are stunning. Rich in exemplars, grounded in research about practice, and with the right balance about the surface and deep learning in math, it′s a great go-to book for all who teach mathematics." —John Hattie, Laureate Professor, Deputy Dean of MGSE, Director of the Melbourne Education Research Institute, Melbourne Graduate School of Education Your blueprint to planning K-2 math lessons for maximum impact and understanding Not sure of tomorrow morning’s lesson plan? Or maybe you feel it isn’t tailored enough for your students’ needs. What do you do? For that and more, help is here. The Mathematics Lesson-Planning Handbook, Grades K-2: Your Blueprint for Building Cohesive Lessons guides teachers step-by-step through the decision-making process of planning K-2 math lessons that are purposeful, rigorous, and coherent. Instructional experts Beth McCord Kobett, Ruth Harbin Miles, and Lois A. Williams streamline and deepen the lesson-planning process showing teachers how to access students′ complex needs, clarify learning intentions, and select tasks that will best lead to student understanding of mathematical concepts and skills. Along the way, teachers create an individualized blueprint for planning K-2 math lessons for maximum student learning. The lesson-planning process guides teachers to: Identify the mathematical content, language, and social learning intentions for a lesson or unit, and connect goals to success criteria Determine the purpose of a math lesson you’re planning by distinguishing between conceptual understanding, procedural fluency, and transfer Select worthwhile tasks and materials that make the best use of representations, manipulatives, and other instructional tools and resources Choose the format of your lesson using reasoning and number routines, games, whole-class discussion, and pairs, or small-group work Anticipate student misconceptions and evaluate understanding using a variety of formative assessment techniques Decide how you’ll launch your lesson, facilitate questioning, encourage productive struggle, and close your lesson Included is a lesson-planning template and examples from kindergarten, first-, and second-grade classrooms. Chapter by chapter, the decision-making strategies empower teachers to plan math lessons strategically, to teach with intention and confidence, and to build an exceptional foundation in math for all students.
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.
The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...
Common Core Mathematics In A Plc At Work Grades K 2
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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 K 2 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 K–2. 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
Your Mathematics Standards Companion Grades K 2
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Author : Linda M. Gojak
language : en
Publisher: Corwin Press
Release Date : 2017-05-17
Your Mathematics Standards Companion Grades K 2 written by Linda M. Gojak and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-17 with Education categories.
Transforming the standards into learning outcomes just got a lot easier In this resource, you can see in an instant how teaching to your state standards should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing Index for states implementing their own specific mathematics standards, allowing you to see and understand which page number to turn to for standards-based teaching ideas. It’s all here, page by page: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Sample lesson plans and lesson planning templates Cross-referenced index listing the standards in the following states, explaining what is unique to the standards of each state Your Mathematics Standards Companion is your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.
Putting Essential Understanding Of Addition And Subtraction Into Practice In Prekindergarten Grade 2
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Author : Janet H. Caldwell
language : en
Publisher:
Release Date : 2014
Putting Essential Understanding Of Addition And Subtraction Into Practice In Prekindergarten Grade 2 written by Janet H. Caldwell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Addition categories.
Do your students have the incorrect idea that addition “makes numbers bigger” and subtraction “makes numbers smaller”? Do they believe that subtraction is always “taking away”? What tasks can you offer - what questions can you ask - to determine what your students know or don’t know - and move them forward in their thinking? This book focuses on the specialized pedagogical content knowledge that you need to teach addition and subtraction effectively in prekindergarten–grade 2. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with these computations - not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of addition and subtraction. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning. You have essential understanding. It’s time to put it into practice in your teaching. The Putting Essential Understanding into Practice Series moves NCTM’s Essential Understanding Series into the classroom. The new series details and explores best practices for teaching the essential ideas that students must grasp about fundamental topics in mathematics - topics that are challenging to learn and teach but are critical to the development of mathematical understanding. Classroom vignettes and samples of student work bring each topic to life, and questions for reader reaction open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, instructional strategies, and assessment that pedagogical content knowledge entails. Resources and tasks are available at nctm.org/more4U.
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.
Illuminating And Advancing The Path For Mathematical Writing Research
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Author : Colonnese, Madelyn W.
language : en
Publisher: IGI Global
Release Date : 2023-11-20
Illuminating And Advancing The Path For Mathematical Writing Research written by Colonnese, Madelyn W. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-20 with Reference categories.
Mathematical writing is essential for students’ math learning, but it’s often underutilized due to unclear guidelines. Mathematical writing is a mode of communication that provides teachers access to their students’ thinking and, importantly, offers students an opportunity to deepen their mathematical understanding, engage in mathematical reasoning, and learn a fundamental way to communicate mathematically. Notably, one needs to be able to judiciously combine mathematical symbols, representations, and text. However, more research is needed to exemplify the qualities of mathematical writing, develop implementation methods, and support teachers. Illuminating and Advancing the Path for Mathematical Writing Research, is a necessary comprehensive resource designed to enhance mathematical writing and promote equitable learning. This research book provides a comprehensive understanding of the current state of mathematical writing and illuminates various perspectives on moving the teaching and learning of k-12 mathematical writing forward. Mathematical writing is an important yet underutilized component of mathematical discourse, and this book offers further insight into understanding what it means to write mathematically for mathematics educators and researchers. It informs with research-based implementation strategies and creates purposeful professional learning opportunities. Ultimately, k-12 students will benefit from a more informed field because they will have access to a vital mode of mathematical reasoning and communication.
The Mathematics Lesson Planning Handbook Grades 3 5
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Author : Ruth Harbin Miles
language : en
Publisher: Corwin Press
Release Date : 2018-07-13
The Mathematics Lesson Planning Handbook Grades 3 5 written by Ruth Harbin Miles and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-13 with Education categories.
"This book brings together the best of Visible Learning and the teaching of mathematics. The chapters on learning intentions, success criteria, misconceptions, formative evaluation, and knowing thy impact are stunning. Rich in exemplars, grounded in research about practice, and with the right balance about the surface and deep learning in math, it′s a great go-to book for all who teach mathematics." —John Hattie, Laureate Professor, Deputy Dean of MGSE, Director of the Melbourne Education Research Institute, Melbourne Graduate School of Education YOU are the architect in the mathematics classroom. When it comes to mathematics lessons, do you sometimes feel overly beholden to the required texts from which you teach? Do you wish you could break the mold, but feel like you get conflicting guidance on the "right" things to do? How often do you find yourself in the last-minute online scramble for a great task activity that will capture your students′ interest and align to your state standards? In The Mathematics Lesson-Planning Handbook, Grades 3–5: Your Blueprint for Building Cohesive Lessons, you’ll learn the streamlined decision-making processes that will help you plan the focused, research-based, standards-aligned lessons your students need. This daily reference offers practical guidance for when and how to pull together mathematics routines, resources, and effective teaching techniques into a coherent and manageable set of lesson plans. This resource will Lead teachers through a process of lesson planning based on various learning objectives Set the stage for lesson planning using relatable vignettes Offer sample lesson plans for Grades 3–5 Create opportunities to reflect on each component of a mathematics lesson Suggest next steps for building a unit from the lessons Provide teachers the space and tools to create their own lesson plans going forward Based on years of classroom experience from seasoned mathematics educators, this book brings together the just-in-time resources and practical advice you need to make lesson planning simple, practical, and doable. From laying a solid foundation to choosing the right materials, you’ll feel confident structuring lessons that lead to high student achievement.