Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2 write by Barbara J. Dougherty. This book was released on 2010. Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2 available 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
Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2
Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2 write by Janet H. Caldwell. This book was released on 2011. Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2 available 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
Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5
Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5 write by Carne Barnett-Clarke. This book was released on 2010. Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5 available 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.
Putting Essential Understanding of Fractions Into Practice in Grades 3-5
Putting Essential Understanding of Fractions Into Practice in Grades 3-5 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Putting Essential Understanding of Fractions Into Practice in Grades 3-5 write by Kathryn Bouchard Chval. This book was released on 2013. Putting Essential Understanding of Fractions Into Practice in Grades 3-5 available in PDF, EPUB and Kindle. Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? 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 specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—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.
Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8
Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 write by Joanne Elizabeth Lobato. This book was released on 2010. Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 available in PDF, EPUB and Kindle. "A series for teaching mathematics."--P. [1] of cover.
