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.
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.
Описание: Finding your Math Power: Concepts in Mathematics for Elementary School Teachers helps pre-service teachers become more effective problem-solvers so they can better teach their students. This manual features practical suggestions and tools that transcend rote procedures and emphasize methods that work best for students.After a brief history of math education and an examination of current standards, the book discusses different areas of instruction and how to teach them effectively. Target skills include sets and Venn diagrams, whole numbers, fractions and decimals, percent, integers, and real numbers. Readers learn various ways to approach and work through the problems to meet the varied needs of their students.The second edition features a new chapter on addition, subtraction, multiplication, and division utilizing the Base 5 numeration system, fresh review problems throughout, and new problem-solving content in Chapter 7: Problem Solving Revisited. Finding your Math Power helps readers increase their abilities and embrace their math power. The book is appropriate for elementary and middle school education programs for pre-service teachers. It is also an excellent reference for teaching professionals seeking to improve their skills as math educators.
Автор: Luzniak Chris Название: Up for Debate!: Exploring Math Through Argument ISBN: 1625312814 ISBN-13(EAN): 9781625312815 Издательство: Taylor&Francis Рейтинг: Цена: 4286.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Shares stories, examples, and step-by-step routines that will help you build a classroom culture where students do the talking, explain their thinking, and critique each other`s reasoning, all in the context of the maths content you`re expected to teach.
Описание: Technology has the power and potential to support the teaching and learning of math content at all grade levels, but the presence of technology is insufficient unless it`s paired with effective teaching practices and meaningful content. This book illustrates practical strategies for integrating technology in the K-5 maths classroom.
Автор: Kaplinsky Robert Название: Open Middle Math: Problems That Unlock Student Thinking, 6-12 ISBN: 1625311745 ISBN-13(EAN): 9781625311740 Издательство: Taylor&Francis Рейтинг: Цена: 4592.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Gives teachers the problems and planning guidance that will encourage students to see mathematics in an entirely different light. These challenging and rewarding Open Middle maths problems will help you see your students build genuine conceptual understanding, perseverance, and creativity.
Описание: This work is the result of an exciting NSF supported endeavour that gathered leaders in the field and explored curriculum, case studies of programme models at several institutions, as well as issue papers on such key topics as assessment, technology, and preparing culturally responsive teachers.
Описание: "Where are we ever going to use this?" Every high school math student has either asked this or at least thought it. Every math teacher has heard it. This book presents hundreds of applications of mathematics from baseball statistics to the theory of relativity. All can be understood by anyone with a knowledge of high school mathematics.
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