Challenging Mathematics In And Beyond The Classroom

Author : Edward J. Barbeau,Peter J. Taylor
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 49,8 Mb
Release : 2009-04-21
Category : Education
ISBN : 9780387096032

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Challenging Mathematics In and Beyond the Classroom by Edward J. Barbeau,Peter J. Taylor Pdf

In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.

Author : Edward J. Barbeau,Peter J. Taylor
Publisher : Springer
Page : 337 pages
File Size : 55,7 Mb
Release : 2010-10-28
Category : Education
ISBN : 1441934979

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Challenging Mathematics In and Beyond the Classroom by Edward J. Barbeau,Peter J. Taylor Pdf

In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.

Author : Anonim
Publisher : Unknown
Page : 336 pages
File Size : 51,8 Mb
Release : 2009
Category : Games in mathematics education
ISBN : OCLC:402270537

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Challenging Mathematics in and Beyond the Classroom by Anonim Pdf

Author : Sylvia Celedon-Pattichis,Nora G. Ramirez
Publisher : National Council of Teachers of English
Page : 236 pages
File Size : 41,9 Mb
Release : 2012
Category : Communication in education
ISBN : 0873536886

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Beyond Good Teaching by Sylvia Celedon-Pattichis,Nora G. Ramirez Pdf

English language learners share a basic need—to engage, and be engaged, in meaningful mathematics. Through guiding principles and instructional tools, together with classroom vignettes and video clips, this book shows how to go beyond good teaching to support ELLs in learning challenging mathematics while developing language skill. Position your students to share the valuable knowledge that they bring to the classroom as they actively build and communicate their understanding. The design of this book is interactive and requires the reader to move back and forth between the chapters and online resources at www.nctm.org/more4u. Occasionally, the reader is asked to stop and reflect before reading further in a chapter. At other times, the reader is asked to view video clips of teaching practices for ELLs or to refer to graphic organizers, observation and analysis protocols, links to resources, and other supplementary materials. The authors encourage the reader to use this resource in professional development.

Author : Alexandre Borovik,Tony Gardiner
Publisher : Unknown
Page : 398 pages
File Size : 51,8 Mb
Release : 2019-06-11
Category : Mathematics
ISBN : 1783746998

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The Essence of Mathematics Through Elementary Problems by Alexandre Borovik,Tony Gardiner Pdf

Author : Rose Marie Walker M Ed,Rose Walker
Publisher : Independently Published
Page : 283 pages
File Size : 54,9 Mb
Release : 2019-07-18
Category : Electronic
ISBN : 1080936939

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Mathematics Beyond The Classroom by Rose Marie Walker M Ed,Rose Walker Pdf

Mathematics Beyond the Classroom gives you the power to transform your child's Mathematical experiences. It provides quick and easy ways to do various calculations and ensures that students understand difficult concepts by providing the reasoning behind several formulas. In addition, we have eliminated some of the pain associated with learning the timetable.. Mathematics Beyond the Classroom is user-friendly and the explanations provided will help students to successfully prepare for any internal or external examinations. Get ready to have highly motivated children who, as they engage in these calculations, will develop an appreciation for the subject. Consequently, the information provided can be used to teach or reinforce topics. This Mathematics book is appropriate and fun for students at any level but it is ideal for Mathematics program that focus on Critical Thinking and getting children to think "out of the box.

Author : Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak
Publisher : Corwin Press
Page : 184 pages
File Size : 50,8 Mb
Release : 2020-04-23
Category : Education
ISBN : 9781071811375

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Mathematize It! [Grades K-2] by Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak Pdf

"This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources." John SanGiovanni Coordinator, Elementary Mathematics Howard County Public School System, Ellicott City, MD Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades K-2 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades K-2 · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division · Demonstrates the use of concrete manipulatives to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Author : Denise H Sutton,Alfred S Posamentier
Publisher : World Scientific
Page : 222 pages
File Size : 45,7 Mb
Release : 2021-01-26
Category : Mathematics
ISBN : 9789811231681

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Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers by Denise H Sutton,Alfred S Posamentier Pdf

Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world — and beyond — are applicable to the world of education. It also offers educators practical advice with regard to the changing culture of education, keeping up with technology, navigating politics at work, interacting with colleagues, developing leadership skills, group behavior, and gender differences.Innovative Teaching demonstrates how the classroom environment is similar to the marketplace. Educators, like businesses, for example, must capture and hold the attention of their audience while competing with a constant stream of 'noise.' With the introduction of the Internet and the wide use of social media, promoters understand that they must not only engage their audience, but also incorporate audience feedback into the promotional work and product or service they offer. Innovative Teaching shows educators how to take the best practices from business — and beyond — and recombine these resources for appropriate use in the classroom.

Author : Peter Liljedahl
Publisher : Corwin
Page : 345 pages
File Size : 41,6 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374864

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Author : Daniel Chazan
Publisher : Teachers College Press
Page : 222 pages
File Size : 47,6 Mb
Release : 2000-01-01
Category : Education
ISBN : 0807739189

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Beyond Formulas in Mathematics and Teaching by Daniel Chazan Pdf

Based on the author’s experience as a researcher and teacher of lower-track students, Beyond Formulas in Mathematics and Teaching illuminates the complex dynamics of the algebra classroom. From within this setting, Daniel Chazan thoughtfully explores topics that concern all dedicated educators, how to really know one’s students, how to find engaging material, and how to inspire meaningful classroom conversations. Throughout, he addresses the predicaments that are central to the lives of teachers who work in standard educational settings. By highlighting teaching dilemmas, Chazan prompts readers to consider what their own responses would be in similar situations. With an eye to ways of restructuring roles and relationships, Beyond Formulas in Mathematics and Teaching is essential reading for educators seeking to enhance their teaching practices and understanding of students who may be estranged from school.

Author : Sara Delano Moore,Kimberly Morrow-Leong,Linda M. Gojak
Publisher : Corwin Press
Page : 188 pages
File Size : 45,9 Mb
Release : 2019-09-04
Category : Education
ISBN : 9781506395258

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Mathematize It! [Grades 3-5] by Sara Delano Moore,Kimberly Morrow-Leong,Linda M. Gojak Pdf

"The list of math books to truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!" Suni Singh Author of Pi of Life: the Hidden Happiness of Mathematics and Math Recess: Playful Learning in an Age of Disruption Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 3–5 • Offers a systematic mathematizing process for students to use when solving word problems • Gives practice opportunities and dozens of problems to leverage in the classroom • Provides specific examples of questions and explorations for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals • Demonstrates the use of concrete manipulatives to model problems with dozens of short videos • Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Author : Peter Liljedahl,Maegan Giroux
Publisher : Corwin Press
Page : 441 pages
File Size : 52,7 Mb
Release : 2024-05-21
Category : Education
ISBN : 9781071951903

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Mathematics Tasks for the Thinking Classroom, Grades K-5 by Peter Liljedahl,Maegan Giroux Pdf

Practical and proven math tasks to maximize student thinking and learning Building upon the blockbuster success of Building Thinking Classrooms in Mathematics, Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, Mathematics Tasks for the Thinking Classroom, Grades K-5. But this book is so much more than simply a collection of good thinking tasks. It delves deeper into the implementation of the 14 practices from the BTC framework by updating the practices with the newest research, and focusing on the practice through the lens of rich math tasks that address specific mathematical learning outcomes or standards. Across the 20 non-curricular tasks and 30 curricular tasks used as models, this book: Helps you choose tasks to fit your particular math standards, goals, and the competencies you want your students to build Walks you through all the steps and scripts to launch, facilitate, and consolidate each task Shares examples of possible student solutions along with hints you might offer to help their thinking along Offers tasks for consolidation, example notes to my future forgetful self, and mild, medium, and spicy check-your-understanding questions (CYUs) for every thin sliced sequences of curricular tasks Imparts reflections from the authors on each task The book closes with specific guidance on how to find more tasks or craft your own non-curricular and curricular tasks, along with answers to educators’ frequently asked questions. It includes access to a companion website that includes downloadables and a task template for creating your own tasks. Whether you are new to BTC or a seasoned user, Mathematics Tasks for the Thinking Classroom, Grades K-5 will help teachers, coaches, and specialists transform traditional math classrooms into dynamic and thought-provoking learning spaces.

Author : Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak
Publisher : Corwin
Page : 265 pages
File Size : 54,7 Mb
Release : 2020-08-21
Category : Education
ISBN : 9781071819852

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Mathematize It! [Grades 6-8] by Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak Pdf

Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 6–8 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 6–8: · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for multiplication and division, fractions and decimals, as well as operations with rational numbers · Demonstrates the use of visual representations to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Author : Maitree Inprasitha,Masami Isoda,Patsy Wang-Iverson,Ban-Har Yeap
Publisher : World Scientific
Page : 392 pages
File Size : 50,5 Mb
Release : 2015-03-25
Category : Mathematics
ISBN : 9789814641081

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Lesson Study by Maitree Inprasitha,Masami Isoda,Patsy Wang-Iverson,Ban-Har Yeap Pdf

Classroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study implementation from members of the APEC economies. Lesson study is one of the best ways to improve the quality of teaching. It is a model approach for improvement of teacher education across the globe. This book focuses on mathematics education, teacher education, and curriculum implementation and reforms. Contents:The Role of Lesson Study in Overcoming Challenges in Mathematics Education:Mathematics Education for the Knowledge-Based Society (Alan J Bishop)Mathematical Thinking for Classroom Decision Making (Kaye Stacey)Setting Lesson Study within a Long-Term Framework of Learning (David Tall)Lesson Study: An Essential Process for Improving Mathematics Teaching and Learning (Akihiko Takahashi)Comparative Study of Mathematics Classrooms — What can be Learned from the TIMSS 1999 Video Study? (Frederick K S Leung)The Science of Lesson Study in the Problem Solving Approach (Masami Isoda)Preparing Ground for the Introduction of Lesson Study in Thailand (Maitree Inprasitha)Perspectives on Lesson Study and Professional Development:History of Lesson Study to Develop Good Practices in Japan (Shizumi Shimizu & Kimiho Chino)What have We Learned about Lesson Study Outside Japan? (Catherine Lewis)Enhancing Mathematics Teachers' Professional Development through Lesson Study ~ A Case Study in Singapore ~ (Ban-Har Yeap, Peggy Foo & Poh Suan Soh)Using Lesson Study to Develop an Approach to Problem Solving: Adding and Subtracting Fractions (Kazuyoshi Okubo & Hiroko Tsuji)Prospective Teacher Education in Mathematics through Lesson Study (Maitree Inprasitha)In-service Teacher Education in Mathematics through Lesson Study (Soledad A Ulep)Lesson Study for Illustrating Innovative Approaches in the Classroom:Transforming Education through Lesson Study: Thailand's Decade-Long Journey (Maitree Inprasitha)Mathematics Teachers Professional Development through Lesson Study in Indonesia (Marsigit)Lesson Study in Chile (Grecia Gálvez)Initiating Lesson Study to Promote Good Practices: A Malaysian Experience (Chap Sam Lim & Chin Mon Chiew)Using Lesson Study as a Means to Innovation for Teaching and Learning Mathematics in Vietnam: Research Lesson on the Property of the Three Medians in a Triangle (Tran Vui)Lesson Study in Singapore: A Case of Division with Remainder in a Third Grade Mathematics Classroom (Yanping Fang & Christine Kim Eng Lee)Enabling Teachers to Introduce Innovations in the Classroom through Lesson Study (Soledad A Ulep)What is a Good Lesson in Japan? An Analysis (Takeshi Miyakawa)Using Lesson Study to Connect Procedural Knowledge with Mathematical Thinking (Patsy Wang-Iverson & Marian Palumbo) Readership: Mathematics educators of teacher training colleges, mathematics teachers, prospective teachers (elementary and secondary school) and undergraduate students in mathematics. Key Features:Presents the world reform movement by top researchersIncludes the challenges of lesson study and videos of model lessons in the world (lesson videos will be available on the website: http://www.criced.tsukuba.ac.jp/math/apec)Includes the Japanese teaching methods called “problem-solving approaches”Keywords:Lesson Study;Mathematics;Mathematics Education;Elementary School;Secondary School;Open-Ended Approach;Problem Solving;Teacher Education;Pedagogical Content Knowledge;Action Research;Lesson Videos;Curriculum Standards

Author : Robert Kaplinsky
Publisher : Unknown
Page : 195 pages
File Size : 49,8 Mb
Release : 2019
Category : Language arts
ISBN : 9781625311740

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Open Middle Math by Robert Kaplinsky Pdf

Imagine that you assign a math problem and your students, instead of getting discouraged after not solving it on the first attempt, start working harder--as if on a quest to figure out the answer. They talk to each other and enthusiastically share their discoveries. What could possibly make this fantastic scenario come true? The answer is: the Open Middle math problems and strategies in this book. Open Middle Math by Robert Kaplinsky gives middle and high school teachers the problems and planning guidance that will encourage students to see mathematics in an entirely different light. These challenging and rewarding Open Middle math problems will help you see your students build genuine conceptual understanding, perseverance, and creativity. Inside, you'll learn how to: Implement Open Middle math problems that are simultaneously accessible for both students who are struggling and those looking for more challenge. Select and create Open Middle math problems that will help you detect students' misconceptions and strengthen their conceptual understanding. Prepare for and facilitate powerful classroom conversations using Open Middle math problems. Access resources that will help you continue learning beyond this book. With these practical and intuitive strategies, extensive resources, and Robert's own stories about his journey learning to use Open Middle math problems successfully, you will be able to support, challenge, and motivate all your students.