Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 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 Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 8 write by John K. Lannin. This book was released on 2011. Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 8 available in PDF, EPUB and Kindle. How do your students determine whether a mathematical statement is true? Do they rely on a teacher, a textbook or various examples? How can you encourage them to connect examples, extend their ideas to new situations that they have not yet considered and reason more generally? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of mathematical reasoning requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about mathematical reasoning. It is organised around one big idea, supported by multiple smaller, interconnected ideas - essential understandings.Taking you beyond a simple introduction to mathematical reasoning, 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.
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.
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 Functions for Teaching Mathematics in Grades 9-12
Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12 - 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 Functions for Teaching Mathematics in Grades 9-12 write by Thomas J. Cooney. This book was released on 2010. Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12 available in PDF, EPUB and Kindle. Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? How much do you know… and how much do you need to know? Helping your high school students develop a robust understanding of functions requires that you understand mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to functions, this 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.
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8
Developing Essential Understanding of Geometry 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 Geometry for Teaching Mathematics in Grades 6-8 write by Nathalie Sinclair. This book was released on 2012-01. Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 available in PDF, EPUB and Kindle. Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, 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.
