TEACHING MATHEMATICAL THINKING

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Teaching Mathematical Thinking

Author : Marian Small
ISBN : 9780807775882
Genre : Education
File Size : 70.84 MB
Format : PDF, ePub, Docs
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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

Exam Prep For Teaching Mathematical Thinking

Author : Dave Mason
ISBN :
Genre :
File Size : 86.1 MB
Format : PDF, Kindle
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5,600 Exam Prep questions and answers. Ebooks, Textbooks, Courses, Books Simplified as questions and answers by Rico Publications. Very effective study tools especially when you only have a limited amount of time. They work with your textbook or without a textbook and can help you to review and learn essential terms, people, places, events, and key concepts.
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Teaching Mathematical Reasoning In Secondary School Classrooms

Author : Karin Brodie
ISBN : 0387097422
Genre : Education
File Size : 81.13 MB
Format : PDF, ePub, Mobi
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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

Aimssec Maths Teacher Support Series Mathematical Thinking In The Lower Secondary Classroom

Author : AIMSSEC
ISBN : 9781316503621
Genre : Juvenile Nonfiction
File Size : 35.88 MB
Format : PDF
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This series is for maths teachers who want to develop their maths teaching skills. This book is for teachers and educators who want to develop their maths teaching skills where English is the language of instruction. It has been written by the international group of educators based at AIMSSEC, The African Institute for Mathematical Sciences Schools Enrichment Centre. The book provides practical classroom activities underpinned by sound pedagogy and recent research findings. The activities are designed for teachers working alone or in 'self-help' teachers' workshops. They are designed to develop mathematical thinking and offer immediate practical tools to help deliver this approach.
Category: Juvenile Nonfiction

Mathematical Thinking

Author : Masami Isoda
ISBN : 9789814350853
Genre : Mathematics
File Size : 77.86 MB
Format : PDF, ePub, Mobi
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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

Advanced Mathematical Thinking

Author : David Tall
ISBN : 9780306472039
Genre : Education
File Size : 30.59 MB
Format : PDF, ePub, Mobi
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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

Children S Mathematical Thinking In Primary Years

Author : Julia Anghileri
ISBN : 0826479111
Genre : Education
File Size : 41.90 MB
Format : PDF, Kindle
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This popular Continuum series, intended chiefly for teachers and trainee teachers, places strong emphasis on practice but at the same time incorporates the latest research in the field. The book demonstrates a strong belief in the ability of children to learn, and in the ability of teachers to increase children's learning potential. The series authors are distinguished practitioners in their fields who write with authority, but without jargon. With the increasingly popular constructivist framework for learning, teachers are coming to recognize the limitations of taught procedures and to find ways to encourage children to generate their own knowledge and understanding in mathematics. The challenge for teachers is to promote an environment that encourages mathematical thinking in which pupils of all abilities are able to achieve their full potential. This text brings together experiences of teachers and researchers who examine the ways children work mathematically, in order to provide an enhanced learning environment within the classroom. It also addresses key issues in current maths teaching.
Category: Education

2nd Grade Mathematical Thinking Linking Math To Everyday Life

Author : Jessica Koizim
ISBN : 1404285245
Genre : Juvenile Nonfiction
File Size : 35.70 MB
Format : PDF, ePub, Mobi
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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

Developing Mathematical Thinking

Author : Jonathan D. Katz
ISBN : 9781475810585
Genre : Education
File Size : 29.7 MB
Format : PDF, ePub
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Read : 750

The goal of this book is to begin to change the way students experience mathematics in the middle and high school classrooms. In this book you will find a theoretical basis for this approach to teaching mathematics, multiple guides and questions for teachers to think about in relation to their everyday teaching, and over 30 examples of problems, lessons, tasks, and projects that been used effectively with urban students.
Category: Education