Using Algebraic Thinking And Equations
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Using Algebraic Thinking And Equations
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Author : Educational Testing Service
language : en
Publisher:
Release Date : 2003
Using Algebraic Thinking And Equations written by Educational Testing Service and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
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.
Word Problems Using Operations And Algebraic Thinking
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Author : Zella Williams
language : en
Publisher: Enslow Publishing, LLC
Release Date : 2016-12-15
Word Problems Using Operations And Algebraic Thinking written by Zella Williams and has been published by Enslow Publishing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-15 with Juvenile Nonfiction categories.
Word problems using operations and algebraic thinking may sound dry and boring, but not when they are done at the amusement park. Each sample problem connects to real-life examples a young person might come across at the park. Text is accessible and engaging but also provides real math content and challenges.
Developing Algebraic Thinking
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Author : Don Balka
language : en
Publisher: R.I.C. Publications
Release Date : 2004
Developing Algebraic Thinking written by Don Balka and has been published by R.I.C. Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Algebra categories.
Develop algebraic thinking by exploring and conjecturing about patterns; verbalising relationships; making generalisations; symbolising relationships; working with functions and making connections between the real world and algebraic statemwnts. A resource for teachers to explore the components of alegbra.
Lessons For Algebraic Thinking
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Author : Maryann Wickett
language : en
Publisher: Math Solutions
Release Date : 2002
Lessons For Algebraic Thinking written by Maryann Wickett and has been published by Math Solutions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Education categories.
Lessons for K-8 teachers on making algebra an integral part of their mathematics instruction.
Early Algebra
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Author : Carolyn Kieran
language : en
Publisher: Springer
Release Date : 2016-07-11
Early Algebra 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 2016-07-11 with Education categories.
This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.
Algebraic Thinking Leveled Problem Writing Equations With Which Numbers
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Author : Linda Dacey, Ed.D.
language : en
Publisher: Teacher Created Materials
Release Date : 2014-01-01
Algebraic Thinking Leveled Problem Writing Equations With Which Numbers written by Linda Dacey, Ed.D. and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-01 with categories.
Differentiate problem solving in your classroom using effective, research-based strategies. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Developing Thinking In Algebra
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Author : John Mason
language : en
Publisher: SAGE
Release Date : 2005-04-23
Developing Thinking In Algebra written by John Mason and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-23 with Mathematics categories.
By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, this book makes it possible for all learners to succeed in thinking algebraically.
Lessons For Algebraic Thinking
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Author : Ann Lawrence
language : en
Publisher: Math Solutions
Release Date : 2002
Lessons For Algebraic Thinking written by Ann Lawrence and has been published by Math Solutions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Education categories.
These lessons show how to maximize instruction that prepares students for formal algebra. Through a series of investigations, students build their proficiency with key algebraic concepts. Connections between arithmetic and algebra are made through the use of drawings, tables, graphs, words, and symbols. Lessons include a technology component with suggestions for teaching with graphing calculators.