Developing Essential Understanding Of Number And Numeration For Teaching Mathematics In Prekindergarten Grade 2
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Author | : Barbara J. Dougherty |
Publisher | : |
Total Pages | : 60 |
Release | : 2010 |
Genre | : Number concept |
ISBN | : 9780873536295 |
Download Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2 Book in PDF, Epub and Kindle
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
Author | : Janet H. Caldwell |
Publisher | : National Council of Teachers of English |
Total Pages | : 85 |
Release | : 2011 |
Genre | : Addition |
ISBN | : 9780873536646 |
Download Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2 Book in PDF, Epub and Kindle
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
Author | : Carne Barnett-Clarke |
Publisher | : National Council of Teachers of English |
Total Pages | : 83 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9780873536301 |
Download Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5 Book in PDF, Epub and Kindle
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.
Author | : Barbara J. Dougherty |
Publisher | : National Council of Teachers of English |
Total Pages | : |
Release | : 2019 |
Genre | : Number concept |
ISBN | : 9780873537162 |
Download Putting Essential Understanding of Number and Numeration Into Practice in Pre-K--Grade 2 Book in PDF, Epub and Kindle
Author | : Maria L. Blanton |
Publisher | : |
Total Pages | : 102 |
Release | : 2011 |
Genre | : Algebra |
ISBN | : 9780873536684 |
Download Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5 Book in PDF, Epub and Kindle
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.
Author | : Joanne Elizabeth Lobato |
Publisher | : National Council of Teachers of English |
Total Pages | : 0 |
Release | : 2010 |
Genre | : Curriculum planning |
ISBN | : 9780873536226 |
Download Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 Book in PDF, Epub and Kindle
"A series for teaching mathematics."--P. [1] of cover.
Author | : Monica Neagoy |
Publisher | : Corwin Press |
Total Pages | : 210 |
Release | : 2012-04-20 |
Genre | : Education |
ISBN | : 1412996600 |
Download Planting the Seeds of Algebra, PreK2 Book in PDF, Epub and Kindle
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 ...
Author | : Juanita V. Copley |
Publisher | : National Council of Teachers of English |
Total Pages | : 182 |
Release | : 2016-11 |
Genre | : Geometry |
ISBN | : 9780873537315 |
Download Putting Essential Understanding of Geometry and Measurement Into Practice, in Prekindergarten-Grade 2 Book in PDF, Epub and Kindle
Do your students recognize a square if the base is oriented horizontally but call it a "diamond" if it is turned 45 degrees? Do they claim that a shape is a triangle because it "looks like" one? Do they say that one object is "bigger" than another without attending more precisely to the attribute they are comparing? What tasks can you offer--what questions can you ask--to determine what they 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 geometry and measurement effectively in prekindergarten to 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 concepts--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 fractions. 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 reflection 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 More4U. Maximize the potential of student-centered learning and teaching by putting essential understanding into practice.
Author | : |
Publisher | : |
Total Pages | : 20 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9780873534840 |
Download Principles and Standards for School Mathematics Book in PDF, Epub and Kindle
This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.
Author | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 53 |
Release | : 2002-07-31 |
Genre | : Education |
ISBN | : 0309131987 |
Download Helping Children Learn Mathematics Book in PDF, Epub and Kindle
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.