Understanding the Math We Teach and How to Teach It, K-8, Small Marian

Автор: David Costello
Название: Making Math Stick: Classroom strategies that support the long-term understanding of math concepts
ISBN: 1551383500 ISBN-13(EAN): 9781551383507
Издательство: Taylor&Francis
Рейтинг:
Цена: 32650.00 T
Наличие на складе: Невозможна поставка.
Описание: This remarkable book shows teachers how to stop working harder and start working smarter. It describes a shift from ""teach-test-move-on"" to ""teach-connect-apply"" to optimise student learning. This valuable resource provides teachers with an understanding of simple, manageable, and sustainable strategies to change their approach immediately.

Автор: Barbara J. Dougherty, Karen S. Karp
Название: Putting Essential Understanding into Practice: Number and Numeration PK-2
ISBN: 0873537165 ISBN-13(EAN): 9780873537162
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 36760.00 T
Наличие на складе: Невозможна поставка.
Описание: Do your students say that one object is “bigger” than another without attending more precisely to the attribute they are comparing? Do they have difficulty naming numbers from 11 to 19? Do some students still count all while their classmates are counting on or counting by tens?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 specialized pedagogical content knowledge that you need to teach number and numeration effectively in prekindergarten–grade 2. 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 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 number and numeration. 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.You have essential understanding. It’s time to put it into practice 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 practices 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 reaction 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, instructional strategies, and assessment that pedagogical content knowledge entails. Resources and tasks are available at nctm.org/more4U.Maximize the potential of student-centered learning and teaching by putting essential understanding into practice.

Автор: Shumway Jessica F.
Название: Number Sense Routines: Building Mathematical Understanding Every Day in Grades 3-5
ISBN: 1625310889 ISBN-13(EAN): 9781625310880
Издательство: Taylor&Francis
Рейтинг:
Цена: 29590.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Upper elementary teachers have a big job: to help students deepen their mathematical understanding and become more efficient mathematicians. Number Sense Routines: Developing Mathematical Understanding Every Day in Grades 3-5 is about tapping into every child’s innate number sense and providing daily, connected experiences that are responsive to children’s learning needs.Through familiar five-, ten-, or fifteen-minute warm-up routines, author Jessica Shumway offers both beginner and veteran teachers easy and effective ways to build and solidify students’ number sense foundations. No matter how familiar the routine, Jessica infuses each with new joy, depth, and life. She reveals the careful thinking and planning that goes into each routine and provides detailed vignettes and dialogues of how they unfold in real classrooms. She gives teachers a clear view into her nuanced facilitation. Each routine becomes an exciting opportunity to understand where students are in their understanding and to help students articulate and extend their mathematical thinking. Not only will these routines help develop students’ mathematical understanding as they move towards using standard algorithms, but teachers will learn to better recognize the big ideas that emerge in discussions, how to encourage important strategies based in number sense, and how to facilitate discussions on key mathematical concepts.

Автор: Heid M. Kathleen, Wilson Patricia S., Blume Glendon W.
Название: Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations
ISBN: 1681231131 ISBN-13(EAN): 9781681231136
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 76690.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level.The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use—each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice.Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations—examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.

Автор: Heid Mary Kathleen, Wilson Patricia S., Blume Glendon W.
Название: Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations (Hc)
ISBN: 168123114X ISBN-13(EAN): 9781681231143
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 104410.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level.The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use—each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice.Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations—examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.

Автор: Neagoy Monica
Название: Unpacking Fractions: Classroom-Tested Strategies to Build Students` Mathematical Understanding
ISBN: 1416621237 ISBN-13(EAN): 9781416621232
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 40650.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, Monica Neagoy addresses seven big ideas in the teaching and learning of fractions in grades 2-6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking.