Understanding Numbers in Elementary School Mathematics - 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 Understanding Numbers in Elementary School Mathematics write by Hongxi Wu. This book was released on 2011. Understanding Numbers in Elementary School Mathematics available in PDF, EPUB and Kindle. This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7. Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.
Knowing and Teaching Elementary Mathematics
Knowing and Teaching Elementary Mathematics - 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 Knowing and Teaching Elementary Mathematics write by Liping Ma. This book was released on 2010-03-26. Knowing and Teaching Elementary Mathematics available in PDF, EPUB and Kindle. Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
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.
Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2
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
Number Talks
Number Talks - 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 Number Talks write by Sherry Parrish. This book was released on 2010. Number Talks available in PDF, EPUB and Kindle. "A multimedia professional learning resource"--Cover.
