The Fostering Algebraic Thinking Toolkit Asking Questions Of Students
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The Fostering Algebraic Thinking Toolkit Asking Questions Of Students
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Author : Judith Zawojewski
language : en
Publisher: Heinemann Educational Books
Release Date : 2001
The Fostering Algebraic Thinking Toolkit Asking Questions Of Students written by Judith Zawojewski and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Education categories.
Together with the accompanying video, this module offers a change both in the type of student data considered--from written to real time--and in the emphasis of the module--from understanding to fostering student thinking.
Fostering Algebraic Thinking Toolkit Bundle
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Author : Mark J. Driscoll
language : en
Publisher: Heinemann Educational Books
Release Date : 2009-08-15
Fostering Algebraic Thinking Toolkit Bundle written by Mark J. Driscoll and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-15 with Education categories.
This set of professional development materials helps teachers identify, describe, and foster algebraic thinking in their students. The toolkit features classroom video, four complete modules containing notes for facilitators, and reproducibles for workshop participants. Each module concentrates on a different kind of classroom evidence to share and analyze with colleagues: Analyzing Written Student Work Asking Questions of Students Documenting Patterns of Student Thinking Listening to Students
The Fostering Algebraic Thinking Toolkit Introduction And Analyzing Written Student Work
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Author : Mark J. Driscoll
language : en
Publisher: Heinemann Educational Books
Release Date : 2001
The Fostering Algebraic Thinking Toolkit Introduction And Analyzing Written Student Work written by Mark J. Driscoll and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Education categories.
Part of the Fostering Algebraic Thinking series, this module gives participants an opportunity to analyze students' written work for evidence of algebraic thinking.
The Fostering Algebraic Thinking Toolkit Documenting Patterns Of Student Thinking
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Author : Mark J. Driscoll
language : en
Publisher: Heinemann Educational Books
Release Date : 2001
The Fostering Algebraic Thinking Toolkit Documenting Patterns Of Student Thinking written by Mark J. Driscoll and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Education categories.
Participants will find in this module more written student work to analyze, but the focus, instead, is on patterns of thinking across a class of students.
Fostering Algebraic Thinking
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Author : Mark J. Driscoll
language : en
Publisher: Heinemann Educational Books
Release Date : 1999
Fostering Algebraic Thinking written by Mark J. Driscoll and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Education categories.
Fostering Algebraic Thinking is a timely and welcome resource for middle and high school teachers hoping to ease their students' transition to algebra.
The Fostering Algebraic Thinking Toolkit
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Author : Mark J. Driscoll
language : en
Publisher:
Release Date : 2001
The Fostering Algebraic Thinking Toolkit written by Mark J. Driscoll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Algebra categories.
Fostering Geometric Thinking
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Author : Mark Driscoll
language : en
Publisher: Heinemann Educational Books
Release Date : 2017-05-12
Fostering Geometric Thinking written by Mark Driscoll and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-12 with Education categories.
The Trends in International Mathematics and Science Study has shown that American schools have consistently helped students understand algebraic and statistical concepts, leading to high achievement internationally. Now it's time to do the same for geometry. Mark Driscoll, author of the powerful and popular Fostering Algebraic Thinking, takes up the challenge and leads you to new, research-based ways to improve how your students conceptualize and apply geometric ideas. With Fostering Geometric Thinking any math teacher can discover essential, practical ideas for helping students cultivate geometric habits of mind that lead to success in this crucial mathematical subject. The book focuses on rigorous, problem-based teaching that encourages students to deepen their thinking in three key geometric strands: geometric properties geometric transformations measurement of geometric objects. Fostering Geometric Thinking shows you how the interplay of these strands helps students devise multiple solutions and develop a broader sense of geometric principles. It's loaded with helpful resources, including: engaging problems to use in your classroom examples of student solutions to these problems transcripts of classroom interactions online resources featuring in-the-field footage of students working through open-ended problems highlighted in the book. Geometry is a vital component of mathematical understanding, and it's time that it received the same attention that algebra and statistics do. With engaging problems and straightforward suggestions that can help students deepen, recognize, and describe their thinking, Fostering Geometric Thinking is the resource you need to ensure that when it comes to geometry, your students know all the angles.
How Students Think When Doing Algebra
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Author : Steve Rhine
language : en
Publisher: IAP
Release Date : 2018-11-01
How Students Think When Doing Algebra written by Steve Rhine and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-01 with Education categories.
Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students’ struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics’ (NCTM) call to better link research and practice by capturing what we have learned about students’ algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their experiences in the classroom. Through a Fund for the Improvement of Post-Secondary Education (FIPSE) grant, 17 teachers and mathematics educators read through the past 40 years of research on students’ algebraic thinking to capture what might be useful information for teachers to know—over 1000 articles altogether. The resulting five domains addressed in the book (Variables & Expressions, Algebraic Relations, Analysis of Change, Patterns & Functions, and Modeling & Word Problems) are closely tied to CCSS topics. Over time, veteran math teachers develop extensive knowledge of how students engage with algebraic concepts—their misconceptions, ways of thinking, and when and how they are challenged to understand—and use that knowledge to anticipate students’ struggles with particular lessons and plan accordingly. Veteran teachers learn to evaluate whether an incorrect response is a simple error or the symptom of a faulty or naïve understanding of a concept. Novice teachers, on the other hand, lack the experience to anticipate important moments in the learning of their students. They often struggle to make sense of what students say in the classroom and determine whether the response is useful or can further discussion (Leatham, Stockero, Peterson, & Van Zoest 2011; Peterson & Leatham, 2009). The purpose of this book is to accelerate early career teachers’ “experience” with how students think when doing algebra in middle or high school as well as to supplement veteran teachers’ knowledge of content and students. The research that this book is based upon can provide teachers with insight into the nature of a student’s struggles with particular algebraic ideas—to help teachers identify patterns that imply underlying thinking. Our book, How Students Think When Doing Algebra, is not intended to be a “how to” book for teachers. Instead, it is intended to orient new teachers to the ways students think and be a book that teachers at all points in their career continually pull of the shelf when they wonder, “how might my students struggle with this algebraic concept I am about to teach?” The primary audience for this book is early career mathematics teachers who don’t have extensive experience working with students engaged in mathematics. However, the book can also be useful to veteran teachers to supplement their knowledge and is an ideal resource for mathematics educators who are preparing preservice teachers.
Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds
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Author : Carolyn Kieran
language : en
Publisher: Springer
Release Date : 2017-12-04
Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds written by Carolyn Kieran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Education categories.
This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.
Algebra In The Early Grades
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Author : James J. Kaput
language : en
Publisher: Routledge
Release Date : 2017-09-25
Algebra In The Early Grades written by James J. Kaput and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Education categories.
This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.