Developing Essential Understanding Of Functions For Teaching Mathematics In Grades 9 12
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Developing Essential Understanding Of Functions For Teaching Mathematics In Grades 9 12
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Author : Thomas J. Cooney
language : en
Publisher:
Release Date : 2010
Developing Essential Understanding Of Functions For Teaching Mathematics In Grades 9 12 written by Thomas J. Cooney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Curriculum enrichment categories.
Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? How much do you know… and how much do you need to know? Helping your high school students develop a robust understanding of functions requires that you understand mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to functions, this book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Answers To Your Biggest Questions About Teaching Secondary Math
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Author : Frederick L. Dillon
language : en
Publisher: Corwin Press
Release Date : 2022-03-22
Answers To Your Biggest Questions About Teaching Secondary Math written by Frederick L. Dillon and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-22 with Education categories.
Let’s face it, teaching secondary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Teaching math in a student-centered way changes the role of the teacher from one who traditionally "delivers knowledge" to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching secondary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your secondary math classroom: How do I build a positive math community? How do I structure, organize, and manage my math class? How do I engage my students in math? How do I help my students talk about math? How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey?
Standards For Preparing Teachers Of Mathematics
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Author : Association of Mathematics Teacher Educators (AMTE)
language : en
Publisher: IAP
Release Date : 2020-02-01
Standards For Preparing Teachers Of Mathematics written by Association of Mathematics Teacher Educators (AMTE) and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-01 with Mathematics categories.
Also available in a black + white version AMTE, in the Standards for Preparing Teachers of Mathematics (SPTM), puts forward a national vision of initial preparation for all Pre-K–12 teachers who teach mathematics. SPTM contains critical messages for all who teach mathematics, including elementary school teachers teaching all disciplines, middle and high school mathematics teachers who may teach mathematics exclusively, special education teachers, teachers of emergent multilingual students, and other teaching professionals and administrators who have responsibility for students’ mathematical learning. SPTM has broad implications for teacher preparation programs, in which stakeholders include faculty and administrators in both education and mathematics at the university level; teachers, principals, and district leaders in the schools with which preparation programs partner; and the communities in which preparation programs and their school partners are situated. SPTM is intended as a national guide that articulates a vision for mathematics teacher preparation and supports the continuous improvement of teacher preparation programs. Such continuous improvement includes changes to preparation program courses and structures, partnerships involving schools and universities and their leaders, the ongoing accreditation of such programs regionally and nationally, and the shaping of state and national mathematics teacher preparation policy. SPTM is also designed to inform assessment practices for mathematics teacher preparation programs, to influence policies related to preparation of teachers of mathematics, and to promote national dialogue around preparing teachers of mathematics. The vision articulated in SPTM is aspirational in that it describes a set of high expectations for developing a well-prepared beginning teacher of mathematics who can support meaningful student learning. The vision is research-based and establishes a set of goals for the continued development and refinement of a mathematics teacher preparation program and a research agenda for the study of the effects of such a program. SPTM contains detailed depictions of what a well-prepared beginning teacher knows and is able to do related to content, pedagogy, and disposition, and what a strong preparation program entails with respect to learning experiences, assessments, and partnerships. Stakeholders in mathematics teacher preparation will find messages related to their roles. Standards for Preparing Teachers of Mathematics includes standards and indicators for teacher candidates and for the design of teacher preparation programs. SPTM outlines assessment practices related to overall quality, program effectiveness, and candidate performance. SPTM describes specific focal practices by grade band and provides guidance to stakeholders regarding processes for productive change.
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.
Quantitative Reasoning In Mathematics And Science Education
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Author : Gülseren Karagöz Akar
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Quantitative Reasoning In Mathematics And Science Education written by Gülseren Karagöz Akar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Education categories.
This book focuses on quantitative reasoning as an orienting framework to analyse learning, teaching and curriculum in mathematics and science education. Quantitative reasoning plays a vital role in learning concepts foundational to arithmetic, algebra, calculus, geometry, trigonometry and other ideas in STEM. The book draws upon the importance of quantitative reasoning and its crucial role in education. It particularly delves into quantitative reasoning related to the learning and teaching diverse mathematics and science concepts, conceptual analysis of mathematical and scientific ideas and analysis of school mathematics (K-16) curricula in different contexts. We believe that it can be considered as a reference book to be used by researchers, teacher educators, curriculum developers and pre- and in-service teachers.
Reconceptualizing Stem Education
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Author : Richard A. Duschl
language : en
Publisher: Routledge
Release Date : 2016-01-08
Reconceptualizing Stem Education written by Richard A. Duschl and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-08 with Education categories.
Reconceptualizing STEM Education explores and maps out research and development ideas and issues around five central practice themes: Systems Thinking; Model-Based Reasoning; Quantitative Reasoning; Equity, Epistemic, and Ethical Outcomes; and STEM Communication and Outreach. These themes are aligned with the comprehensive agenda for the reform of science and engineering education set out by the 2015 PISA Framework, the US Next Generation Science Standards and the US National Research Council’s A Framework for K-12 Science Education. The new practice-focused agenda has implications for the redesign of preK-12 education for alignment of curriculum-instruction-assessment; STEM teacher education and professional development; postsecondary, further, and graduate studies; and out-of-school informal education. In each section, experts set out powerful ideas followed by two eminent discussant responses that both respond to and provoke additional ideas from the lead papers. In the associated website highly distinguished, nationally recognized STEM education scholars and policymakers engage in deep conversations and considerations addressing core practices that guide STEM education.
Developing Essential Understanding Of Expressions Equations And Functions For Teaching Mathematics In Grades 6 8
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Author : Gwendolyn M. Lloyd
language : en
Publisher: National Council of Teachers of English
Release Date : 2011
Developing Essential Understanding Of Expressions Equations And Functions For Teaching Mathematics In Grades 6 8 written by Gwendolyn M. Lloyd and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Effective teaching categories.
Why do some equations have one solution, others two or even more solutions and some no solutions? Why do we sometimes need to ""switch"" the direction of an inequality symbol in solving an inequality? What could you say if a student described a function as an equation? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of expressions, equations and functions requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about expressions, equations and functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas - essential understandings. Taking you beyond a simple introduction to expressions, equations and functions, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students - and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students' understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Bringing The Common Core Math Standards To Life
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Author : Yvelyne Germain-McCarthy
language : en
Publisher: Routledge
Release Date : 2014-11-20
Bringing The Common Core Math Standards To Life written by Yvelyne Germain-McCarthy and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-20 with Education categories.
Provides a clear explanation of the big shifts happening in the classroom as a result of the Common Core State Standards Offers real examples and detailed analyses of how exemplary teachers are using engaging strategies across the curriculum Includes practical, ready-to-use tools you can take back to your classroom
Handbook Of Research On Tpack In The Digital Age
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Author : Niess, Margaret L.
language : en
Publisher: IGI Global
Release Date : 2018-11-02
Handbook Of Research On Tpack In The Digital Age written by Niess, Margaret L. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-02 with Education categories.
This title is an IGI Global Core Reference for 2019 as it was co-edited by a leading education scholar, this title provides the latest research on the enhancement of Technological Pedagogical Content Knowledge (TPACK). Building upon her previous studies conducted through multiple Mathematics and Science Partnership (MSP) grants from the U.S. Department of Education, this comprehensive publication brings together over 45 educational experts, from the U.S., South America, and Europe, to provide online learning, digital technologies, and pedagogical strategies. The Handbook of Research on TPACK in the Digital Age provides innovative insights into teacher preparation for the effective integration of digital technologies into the classroom. The content within this publication represents the work of online learning, digital technologies, and pedagogical strategies. It is designed for teachers, educational designers, instructional technology faculty, administrators, academicians, and education graduate students, and covers topics centered on classroom technology integration and teacher knowledge and support.
Developing Essential Understanding Of Ratios Proportions And Proportional Reasoning For Teaching Mathematics In Grades 6 8
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Author : Joanne Elizabeth Lobato
language : en
Publisher: National Council of Teachers of English
Release Date : 2010
Developing Essential Understanding Of Ratios Proportions And Proportional Reasoning For Teaching Mathematics In Grades 6 8 written by Joanne Elizabeth Lobato and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Curriculum planning categories.
"A series for teaching mathematics."--P. [1] of cover.