TEACHING MATHEMATICAL THINKING

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Teaching Mathematical Thinking

Author : Marian Small
ISBN : 9780807775882
Genre : Education
File Size : 56.85 MB
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This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and to effectively and respectfully critique the reasoning of others (Standard 3). The author also discusses how to formatively assess student performance for each practice standard. To provide additional support to U.S. teachers in their instructional planning, this resource includes attention to the Canadian math processes of visualization and mental math and estimation. “Whether you are a new teacher or a seasoned educator, this book will enrich your abilities to develop your students' mathematical thinking.” —From the Foreword by Linda Dacey, professor emerita, Mathematics, Lesley University “One of the best ways to prepare students for their futures is to teach mathematical thinking. Marian Small shows us the way with powerful tasks, probing questions, and incredible student work samples. This is the book I have been looking for and is definitely a must-have for every teacher.” —Ruth Harbin Miles, Mary Baldwin University
Category: Education

Mathwise

Author : Arthur A. Hyde
ISBN : 0435083112
Genre : Education
File Size : 60.29 MB
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Mathwise, written especially for teachers in grades three through six, introduces teachers to a broad view of what it means for students to do mathematics. Arthur and Pamela Hyde explore the powerful kinds of mathematical thinking that students are capable of doing and offer exciting approaches, methods, and strategies for teaching that will foster this capability. By building a bridge between students' lives and the key concepts of the curriculum, Mathwise helps teachers make mathematics a meaningful part of their students' world.
Category: Education

Teaching Mathematical Reasoning In Secondary School Classrooms

Author : Karin Brodie
ISBN : 0387097422
Genre : Education
File Size : 80.1 MB
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For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.
Category: Education

Teaching Mathematics In Grades 6 12

Author : Randall E. Groth
ISBN : 9781412995689
Genre : Education
File Size : 74.6 MB
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Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a “researcher—constantly experimenting with methods for developing students’ mathematical thinking—and connecting this research to practices that enhance students’ understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students’ thinking may develop in response to different teaching strategies.
Category: Education

Mathematical Thinking

Author : Masami Isoda
ISBN : 9789814350853
Genre : Mathematics
File Size : 66.57 MB
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Developing mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties developing it in the classrooms. This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical thinking: Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.
Category: Mathematics

Strategies For Teaching Mathematics

Author :
ISBN : 9781425891152
Genre : Electronic books
File Size : 74.1 MB
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Enhance mathematics instruction and build students' understanding of mathematical concepts with this exceptional resource notebook. Choose from a wide range of easy-to-implement strategies that enhance mathematical content. Topics include developing students' mathematical vocabulary and problem-solving abilities, assessing students' mathematics thinking, and using manipulatives. Highlights include tips on planning instruction and managing the mathematics classroom, plus differentiation strategies for each lesson. Includes Teacher Resource CD with reproducibles including rubrics and assessment.
Category: Electronic books

Key Ideas In Teaching Mathematics

Author : Anne Watson
ISBN : 9780191643422
Genre : Mathematics
File Size : 39.89 MB
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Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.
Category: Mathematics

Advanced Mathematical Thinking

Author : David Tall
ISBN : 9780306472039
Genre : Education
File Size : 81.63 MB
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This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.
Category: Education

2nd Grade Mathematical Thinking Linking Math To Everyday Life

Author : Jessica Koizim
ISBN : 1404285245
Genre : Juvenile Nonfiction
File Size : 42.27 MB
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Placing math in a valuable real-world context helps students to make connections, develop deeper understanding, and obtain greater retention of mathematics skills and concepts. Curriculum-correlated activities help learners succeed in the 2nd grade math classroom, and teacher support makes it easy to implement mathematics standards. Valuable pre- and post-assessments aid teachers in individualizing instruction, diagnosing the areas where students are struggling, and measuring achievement.
Category: Juvenile Nonfiction