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.
Knowing and Learning Mathematics for Teaching
Knowing and Learning Mathematics for Teaching - 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 Learning Mathematics for Teaching write by National Research Council. This book was released on 2001-02-25. Knowing and Learning Mathematics for Teaching available in PDF, EPUB and Kindle. There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.
Helping Children Learn Mathematics
Helping Children Learn 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 Helping Children Learn Mathematics write by National Research Council. This book was released on 2002-07-31. Helping Children Learn Mathematics available 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.
Visible Learning for Mathematics, Grades K-12
Visible Learning for Mathematics, Grades K-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 Visible Learning for Mathematics, Grades K-12 write by John Hattie. This book was released on 2016-09-15. Visible Learning for Mathematics, Grades K-12 available in PDF, EPUB and Kindle. Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.
Improving Teaching and Learning in Science and Mathematics
Improving Teaching and Learning in Science and 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 Improving Teaching and Learning in Science and Mathematics write by David F. Treagust. This book was released on 1996. Improving Teaching and Learning in Science and Mathematics available in PDF, EPUB and Kindle. Contains nineteen essays in which the authors discuss issues related to teaching and learning in science and mathematics, discussing the need to determine student understanding, ways to improve curriculum and teaching, and methods of implementing teacher change.
