A Focus on Multiplication and Division - 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 A Focus on Multiplication and Division write by Elizabeth T. Hulbert. This book was released on 2017-06-26. A Focus on Multiplication and Division available in PDF, EPUB and Kindle. A Focus on Multiplication and Division is a groundbreaking effort to make mathematics education research readily accessible and understandable to pre- and in-service K–6 mathematics educators. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book is sure to equip educators with the knowledge and tools needed to modify their lessons and to improve student learning of multiplication and division. Special Features: Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students. Instructional Links help teachers relate concepts from each chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division. Answer Key posted online offers extensive explanations of in-chapter questions. Each chapter includes sections on the Common Core State Standards for Mathematics and integrates the Ongoing Assessment Project (OGAP) Multiplicative Reasoning Progression for formative assessment purposes. Centered on the question of how students develop their understanding of mathematical concepts, this innovative book places math teachers in the mode of ongoing action researchers.
A Focus on Multiplication and Division
A Focus on Multiplication and Division - 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 A Focus on Multiplication and Division write by Elizabeth T. Hulbert. This book was released on 2023-07-04. A Focus on Multiplication and Division available in PDF, EPUB and Kindle. The second edition of this book offers a unique approach to making mathematics education research on the teaching and learning of multiplication and division concepts readily accessible and understandable to preservice and in-service K-6 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction, and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP) and updated throughout, this engaging and easy-to-use resource also features the following: New chapters on the OGAP Multiplicative Reasoning Framework and Learning Progressions and Using the OGAP Multiplicative Progression to inform instruction and support student learning In-chapter sections on how Common Core State Standards for Math are supported by math education research Case Studies focusing on a core mathematical idea and different types of instructional responses to illustrate how teachers can elicit evidence of student thinking and use that information to inform instruction Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students Instructional Links to help teachers relate concepts from each chapter to their own instructional materials and programs Accompanying online Support Material that includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression A Focus on Multiplication and Division is part of the popular A Focus on . . . collection, designed to aid the professional development of preservice and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and fractions, this updated new edition bridges the gap between what math education researchers know and what teachers need to know to better understand evidence in student work and make effective instructional decisions.
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.
A Focus on Addition and Subtraction
A Focus on Addition and Subtraction - 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 A Focus on Addition and Subtraction write by Caroline B. Ebby. This book was released on 2020-11. A Focus on Addition and Subtraction available in PDF, EPUB and Kindle. "This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K-3. Revealing students' thought processes with extensive annotated samples of student work and vignettes characteristic of teachers' experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students' errors and misconceptions, as well as their developing conceptual understanding; A focus on the OGAP Addition, Subtraction, and Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs. A Focus on Addition and Subtraction marks the fourth instalment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following on from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions. Caroline B. Ebby is a Senior Researcher at the Graduate School of Education, University of Pennsylvania. Elizabeth T. Hulbert is a Managing Partner at the Ongoing Assessment Project. Rachel M. Broadhead is Project Director for the Alabama Math, Science, and Technology Initiative, University of South Alabama"--
Putting Essential Understanding of Multiplication and Division Into Practice in Grades 3-5
Putting Essential Understanding of Multiplication and Division 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 Multiplication and Division Into Practice in Grades 3-5 write by John Lannin. This book was released on 2013-01-01. Putting Essential Understanding of Multiplication and Division Into Practice in Grades 3-5 available in PDF, EPUB and Kindle. Do your students believe that division "doesn't make sense" if the divisor is greater than the dividend? Explore rich, researched-based strategies and tasks that show how students are reasoning about and making sense of mulitplication and division. This book focuses on the specialised pedagogical content knowledge that you need to teach multiplication and division 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 these computations - not only in their current work, but also in higher-level maths 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 multiplication and division. 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. About the Series: You have essential understanding. It’s time to put it into practise 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 practises 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, understanding into practise, instructional strategies and assessment that pedagogical content knowledge entails. Maximise the potential of student-centred learning and teaching by putting essential understanding into practise.
