| common core state standards michigan math: Common Core Mathematics Standards and Implementing Digital Technologies Polly, Drew, 2013-05-31 Standards in the American education system are traditionally handled on a state-by-state basis, which can differ significantly from one region of the country to the next. Recently, initiatives proposed at the federal level have attempted to bridge this gap. Common Core Mathematics Standards and Implementing Digital Technologies provides a critical discussion of educational standards in mathematics and how communication technologies can support the implementation of common practices across state lines. Leaders in the fields of mathematics education and educational technology will find an examination of the Common Core State Standards in Mathematics through concrete examples, current research, and best practices for teaching all students regardless of grade level or regional location. This book is part of the Advances in Educational Technologies and Instructional Design series collection. |
| common core state standards michigan math: Common Core Standards for Middle School Mathematics Amitra Schwols, Kathleen Dempsey, 2013 This concise yet comprehensive look at the structure, terminology, and emphases of the Common Core State Standards for Mathematics at the middle school level provides the information teachers need to begin adapting their practices and planning lessons that will promote conceptual understanding, highlight real-world application, and prepare students for more advanced study. |
| common core state standards michigan math: Common Core Standards for Elementary Grades 3-5 Math & English Language Arts Amber Evenson, Monette McIver, Susan Ryan, Amitra Schwols, 2013 This guide explains how the standards lay the foundation for successful schooling and provide a bridge from foundational concepts taught in elementary school to the more complex studies students will undertake in middle school. |
| common core state standards michigan math: The Everything Parent's Guide to Common Core Math Grades K-5 Jim Brennan, 2015-05-08 The Common Core, a new set of national educational standards, has been adopted by 45 states across the nation. But you may be having a hard time understanding what your kids are bringing home from school. If you want to help your children with their homework, you need to learn these new methods, which focus on critical thinking and conceptual understanding. With the help of math teacher, you'll learn what your child will be learning in grades K-5; the multiple new ways to look at math problems; the rationale behind the Common Core math standards; and how to help your child with homework and studying. |
| common core state standards michigan math: Mathematics Learning in Early Childhood National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Committee on Early Childhood Mathematics, 2009-11-13 Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children. |
| common core state standards michigan math: Standards and Standardization: Concepts, Methodologies, Tools, and Applications Management Association, Information Resources, 2015-02-28 Effective communication requires a common language, a truth that applies to science and mathematics as much as it does to culture and conversation. Standards and Standardization: Concepts, Methodologies, Tools, and Applications addresses the necessity of a common system of measurement in all technical communications and endeavors, in addition to the need for common rules and guidelines for regulating such enterprises. This multivolume reference will be of practical and theoretical significance to researchers, scientists, engineers, teachers, and students in a wide array of disciplines. |
| common core state standards michigan math: K-12 Education: Concepts, Methodologies, Tools, and Applications Management Association, Information Resources, 2013-09-30 Primary and Secondary education is a formative time for young students. Lessons learned before the rigors of higher education help to inform learners future successes, and the increasing prevalence of learning tools and technologies can both help and hinder students in their endeavors. K-12 Education: Concepts, Methodologies, Tools, and Applications investigates the latest advances in online and mobile learning, as well as pedagogies and ontologies influenced by current developments in information and communication technologies, enabling teachers, students, and administrators to make the most of their educational experience. This multivolume work presents all stakeholders in K-12 education with the tools necessary to facilitate the next generation of student-teacher interaction. |
| common core state standards michigan math: Bringing the Common Core Math Standards to Life Yvelyne Germain-McCarthy, Ivan Gill, 2014-11-20 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 |
| common core state standards michigan math: Teaching Secondary and Middle School Mathematics Daniel J. Brahier, 2024-01-22 Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The seventh edition has been updated and expanded with particular emphasis on the latest technology, standards, and other resources. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: • Following on from the sixth edition, assessment takes a central role in planning and teaching. Unit 3 (of 5) addresses the use of summative and formative assessments to inform classroom teaching practices. • A new appendix is included that lists websites that can be used in a methods class to view other teachers interacting with students for discussion of effective teaching practices. • The feature entitled “Links and Resources” has been updated in each of the 13 chapters. Five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. • Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. • Significant revisions have been made to Chapter 12, which now includes updated research and practices as well as a discussion on culturally responsive pedagogy. Likewise, Chapter 8 now includes a description of best and high-leverage teaching practices, and a discussion in Chapter 11 on alternative high school mathematics electives for students has been added. • Chapter 9, on the practical use of classroom technology, has again been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld personal devices, in light of changes in education resulting from the global pandemic. An updated Instructor’s Manual features a test bank, sample classroom activities, PowerPoint slide content, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9781032472867. |
| common core state standards michigan math: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society. |
| common core state standards michigan math: Implementing Effective Mathematics Teaching Practices in Kindergarten-grade 5 DeAnn Huinker, 2017 |
| common core state standards michigan math: Michigan 3rd Grade Math Test Prep Teachers Treasures, 2014-06-13 O Our 2nd edition Michigan 3rd Grade Math Test Prep for Common Core State Standards is an excellent resource to assess and manage student's understanding of concepts outlined in the Common Core State Standards Initiative. This resource is formatted into three sections: Diagnostic, Practice, and Assessment with multiple choice and open questions in each section. The material covered includes emphasis on representing and solving problems involving multiplication and division; understanding properties of multiplication and the relationship between multiplication and division; multiplying and dividing within 100; solving problems involving the four operations, and identify and explain patterns in arithmetic; using place value understanding and properties of operations to perform multi-digit arithmetic; developing understanding of fractions as numbers; solving problems involving measurement and estimation; representing and interpreting data; and reasoning with shapes and their attributes. These standards are covered extensively by the practice problems. This book contains over 500 practice problems aligned to each Common Core State Standard. In addition the book contains an answer key to practice problems. Paperback: 218 double-sided pages Publisher: Teachers' Treasures, Inc. Language: English |
| common core state standards michigan math: Mathematical Discourse that Breaks Barriers and Creates Space for Marginalized Learners , 2017-01-01 For the past decade reform efforts have placed importance on all students being able to participate in collaborative and productive mathematical discourse as an essential component for their learning of mathematics with deep conceptual understandings. In this book our intent is to support mathematics education researchers, teacher educators, teachers and policy makers in providing positive solutions to the enduring challenge in mathematics education of enabling all participants including diverse students to equitably access mathematical discourse. By diverse learners we mean learners who are minoritized in terms of gender, disability, or/and social, cultural, ethnic, racial or language backgrounds. We aim to increase understanding about what it means to imagine, design and engage with policy and practice which enhance opportunities for all students to participate in productive mathematical discourse. In widening the lens across policy and practice settings we recognize the interplay between the many complex factors that influence student participation in mathematics. The various chapters tell practical stories of equitable practices for diverse learners within a range of different contexts. Different research perspectives, empirical traditions, and conceptual foci are presented in each chapter. Various aspects of diversity are raised, issues of concern are engaged with, and at times conventional wisdom challenged as the authors provide insights as to how educators may address issues of equitable access of minoritized learners to the mathematical discourse within settings across early primary through to high school, and situated in schools or in family and community settings. |
| common core state standards michigan math: A Quiet Revolution Michael D. Steele, Craig Huhn, 2018-03-01 Over the past thirty years, Holt High School in central Michigan has engaged in a quiet revolution that has transformed mathematics teaching and learning in the district. From its roots as a rural high school housed in a single building in the 1980s, the high school mathematics staff has grown an innovative, meaningful high school mathematics curriculum that sees nearly every student in the district completing the equivalent of Precalculus. Tracking was dropped in favor of an evolving suite of supports designed to promote student success in unifying, rather than segregating, ways. Mathematics classrooms in Holt are discourse-rich environments where teachers and students explore meaningful uses for mathematics as they reason and problem solve together. This transformation took place and persists amidst changing professional partnerships, shifting district demographics, increasing accountability measures at the state and national level, and turnover in teaching staff and district leadership. In this book, we explore the case of Holt High School though an exploration of how the mathematics curriculum has shifted over the past thirty years, and the conditions and supports that have been put in place in the district to make this work fruitful and sustainable. The story includes successes, failures, celebrations and challenges as we chronicle Holt’s high school mathematics evolution. Guiding questions, protocols, and reflective activities are provided for teachers and district leaders to begin the challenging conversations in their own district that lead to meaningful change. |
| common core state standards michigan math: Michigan Law Review , 2014 |
| common core state standards michigan math: Scripting Approaches in Mathematics Education Rina Zazkis, Patricio Herbst, 2017-10-30 This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education. It provides an opportunity for script-writers to articulate their mathematical arguments and/or their pedagogical approaches. It further provides researchers with a corpus of narratives that can be analyzed using a variety of theoretical perspectives. Various chapters argue for the use of dialogical method and highlight its benefits and special features. The chapters examine both “low tech” implementations as well as the use of a technological platform, LessonSketch. The chapters present results of and insights from several recent studies, which utilized scripting in mathematics education research and practice. |
| common core state standards michigan math: A Framework for K-12 Science Education National Research Council, Division of Behavioral and Social Sciences and Education, Board on Science Education, Committee on a Conceptual Framework for New K-12 Science Education Standards, 2012-02-28 Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments. |
| common core state standards michigan math: Math Education for America? Mark Wolfmeyer, 2013-12-04 Math Education for America? analyzes math education policy through the social network of individuals and private and public organizations that influence it in the United States. The effort to standardize a national mathematics curriculum for public schools in the U.S. culminated in 2010 when over 40 states adopted the Common Core State Standards for Mathematics. Rather than looking at the text of specific policy documents, this book complements existing critical reviews of the national math education curriculum by employing a unique social network analysis. Breaking new ground in detailing and theorizing the politics of math education, Wolfmeyer argues that the private interests of this network are closely tied to a web of interrelated developments: human capital education policy, debates over traditional and reform pedagogy, the assumed content knowledge deficit of math teachers, and the proliferation of profit-driven educational businesses. By establishing the interconnectedness of these interests with the national math education curriculum, he shows how the purported goals of math education reform are aligned with the prevailing political agendas of this social network rather than the national interest. |
| common core state standards michigan math: Handbook of Research on Teaching and Learning in K-20 Education Wang, Victor C.X., 2013-06-30 While the general agreement in education remains that the more senses involved in learning, the better we learn; the question still remains as to the distinction between the education of children and the education of adults. Handbook of Research on Teaching and Learning in K-20 Education provides well-rounded research in providing teaching and learning theories that can be applied to both adults and children while acknowledging the difference between both. This book serves as a comprehensive collection of expertise, research, skill, and experiences which will be useful to educators, scholars, and practitioners in the K-12 education, higher education, and adult education field. |
| common core state standards michigan math: Standards Deviation James P. Spillane, 2009-06-30 What happens to federal and state policies as they move from legislative chambers to individual districts, schools, and, ultimately, classrooms? Although policy implementation is generally seen as an administrative problem, James Spillane reminds us that it is also a psychological problem. After intensively studying several school districts' responses to new statewide science and math teaching policies in the early 1990s, Spillane argues that administrators and teachers are inclined to assimilate new policies into current practices. As new programs are communicated through administrative levels, the understanding of them becomes increasingly distorted, no matter how sincerely the new ideas are endorsed. Such patterns of well-intentioned misunderstanding highlight the need for systematic training and continuing support for the local administrators and teachers who are entrusted with carrying out large-scale educational change, classroom by classroom. Table of Contents: Acknowledgments 1. Making Education Policy Here, There, and Everywhere 2. Doing Standards: Content and Context 3. Interactive Policymaking 4. Making Policy, Making Sense 5. Resources for Sense-Making 6. The Schoolteacher and Interactive Policymaking 7. Policy in Practice 8. Implementation Reconsidered Appendix: Research Methods References Index Policy implementation is like the telephone game. . . . the player at the start of the line tells a story to the next person in line, who then relays the story to the third person in line. . . . by the time the story is retold by the final player, it is very different from the original. --chapter 1 |
| common core state standards michigan math: Michigan 3rd Grade Math Test Prep Teachers' Treasures, 2013-02-10 UPDATED with 150 additional math problems! Our CCLS (Common Core Learning Standards) series for 3rd Grade Mathematics version prepares students throughout Michigan for the required Common Core Standards to test students' math proficiency. The emphasis is on representing and solving problems involving multiplication and division; understanding properties of multiplication and the relationship between multiplication and division; multiplying and dividing within 100; solving problems involving the four operations, and identify and explain patterns in arithmetic; using place value understanding and properties of operations to perform multi-digit arithmetic; developing understanding of fractions as numbers; solving problems involving measurement and estimation; representing and interpreting data; and reasoning with shapes and their attributes. These standards are covered extensively by the practice problems. This book contains over 500 practice problems aligned to each Common Core Learning Standard. In addition the book contains an answer key to practice problems. |
| common core state standards michigan math: Learning Over Time Alan P. Maloney, Jere Confrey, Kenny H. Nguyen, 2014 The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics-how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings-and how to use these insights to improve instruction and student learning. In this book, readers will come to understand what learning trajectories are, the research and methodology that are necessary for developing them, and gain insight into potential applications of learning trajectories. A synthesis and research outcome in their own right, learning trajectories provide detailed description of instructionally-grounded development of mathematical concepts and reasoning from the perspective of student learning, and, overall, building on decades of accumulated experience in mathematics education research. However, their greater importance may lie in their potential as frameworks that contribute an unprecedented coherence across classroom instruction, professional development, standards, and assessment, by focusing squarely on conceptual understanding and reasoning instead of assessment-driven procedural knowledge. This potential was sufficiently compelling as an organizing framework to have been cited as a basis for the Common Core mathematics standards, the new mathematics learning expectations that are now consistent across most of the United States. (Among the conference attendees were the writers of the Common Core State Standards for Mathematics, at the beginning of the Standards drafting process.) This book is an outgrowth of a conference on learning trajectories, hosted in 2009 at North Carolina State University, which examined research on learning trajectories. An overarching message of the chapters in this volume is that learning trajectories, by focusing on how children's mathematical reasoning develops, are coming into their own as a rigorous underpinning for both instruction and accountability. Some of the learning scientists featured in this volume have played major roles learning trajectories' evolution--from small-scale day-to-day conjectures by individual teachers, to systematic research endeavors that teachers and scientists alike can use to interpret standards, plan instruction, and formatively assess student work. The work in this volume will be of interest to mathematics educators, teachers, and professional development specialists. |
| common core state standards michigan math: The Mathematics Teacher Education Partnership W. Gary Martin, Brian R. Lawler, Alyson E. Lischka, Wendy M. Smith, 2020-01-01 This book provides an overview of a body of work conducted over the past seven years related to the preparation of secondary mathematics teachers by the Mathematics Teacher Education Partnership (MTE-Partnership), a national consortium of more than 90 universities and 100 school systems. The MTE-Partnership is organized as a Networked Improvement Community (NIC), which combines the disciplined inquiry of improvement science with the power of networking to accelerate improvement by engaging a broad set of participants. The MTE-Partnership is addressing key challenges in secondary mathematics teacher preparation, including: • Supporting the development of content knowledge relevant to teaching secondary mathematics; • Providing effective clinical experiences to teacher candidates; • Recruiting secondary mathematics teacher candidates, ensuring program completion and their subsequent retention in the field as early career teachers; • Supporting overall transformation of secondary mathematics teacher preparation in alignment with these challenges; • Ensuring a focus on equity and social justice in secondary mathematics teacher recruitment, preparation, and induction. This book outlines existing knowledge related to each of these key challenges, as well as the work of Research Action Clusters (RACs) formed to address the challenges. Each RAC includes participants from multiple institutions who work collaboratively to iteratively develop, test, and refine processes and products that can help programs more effectively prepare secondary mathematics teacher candidates. The book describes promising approaches to improving aspects of secondary mathematics teacher preparation developed by the RACs, including specific products that have been developed, which will inform the work of others involved in secondary mathematics teacher preparation. In addition, reflections on the use of the NIC model provides insights for others considering this research design. Particular references to the Standards for Preparing Teachers of Mathematics (Association of Mathematics Teacher Educators, 2017) are included throughout the book. |
| common core state standards michigan math: Uncovering Student Thinking About Mathematics in the Common Core, High School Cheryl Rose Tobey, Carolyn B. Arline, 2014-03-10 Provides 25 new assessment probes pinpoint subconcepts to promote deep learning & expert maths instruction while learning is underway. Grade-specific probes eliminate guesswork, helps systematically address conceptual & procedural mistakes, pinpoint where students are struggling, plan targeted instruction. |
| common core state standards michigan math: The Handbook of TESOL in K-12 Luciana C. de Oliveira, 2022-04-04 The first handbook to explore the field of Teaching English to Speakers of Other Languages in elementary and secondary education (K-12) The number of students being educated in English has grown significantly in modern times — globalization, immigration, and evolving educational policies have prompted an increased need for English language learner (ELL) education. The Handbook of TESOL in K-12 combines contemporary research and current practices to provide a comprehensive overview of the origins, evolution, and future direction of Teaching English to Speakers of Other Languages at the elementary and secondary levels (K-12). Exploring the latest disciplinary and interdisciplinary issues in the field, this is a first-of-its-kind Handbook and contributions are offered from a team of internationally-renowned scholars. Comprehensive in scope, this essential Handbook covers topics ranging from bilingual language development and technology-enhanced language learning, to ESOL preparation methods for specialist and mainstream teachers and school administrators. Three sections organize the content to cover Key Issues in Teaching ESOL students in K-12, Pedagogical Issues and Practices in TESOL in K-12 Education, and School Personnel Preparation for TESOL in K-12. Satisfies a need for inclusive and in-depth research on TESOL in K-12 classrooms Presents a timely and interesting selection of topics that are highly relevant to working teachers and support staff Applies state-of-the-art research to real-world TESOL classroom settings Offers a balanced assessment of diverse theoretical foundations, concepts, and findings The Handbook of TESOL in K-12 is an indispensable resource for undergraduate and graduate students, researchers and scholars, and educators in the field of Teaching English to Speakers of Other Languages in elementary and secondary education. |
| common core state standards michigan math: Common Core Meets Education Reform Frederick M. Hess, Michael Q. McShane, 2014 How can the Common Core complement and not conflict with school improvement efforts already at work across the United States? How can it be seamlessly integrated into accountability systems, teacher preparation and development, charter schools, and educational technology? This timely volume brings together prominent scholars and policy analysts to examine the pressing issues that will mark Common Core implementation. Whether or not you agree with the standards, the Common Core is coming, and this book will help policymakers, practitioners, and other stakeholders anticipate the challenges and take steps to address them. “Common Core Meets Education Reform raises the hard questions about implementing and sustaining the Common Core State Standards so they don’t end up in the dustbin of abandoned public education reforms. These new standards can help students enormously in becoming problem solvers and critical thinkers—which is essential in the 21st century—but only if teachers become engaged in the rollout, get the support they need, and the fixation on high-stakes testing gives way to a fixation on learning.” —Randi Weingarten, president, American Federation of Teachers “Adopting the Common Core in a mad dash for federal gold, policymakers across the country blew right past critical questions about how they’d implement the thing. This volume, in stark contrast, meticulously studies the road ahead, seeking out tripwires, pitfalls, and boulders, making it a must-read for anyone who hopes to avoid total Common Core disaster.” —Neal McCluskey, associate director, Center for Educational Freedom, Cato Institute, Washington, DC “This balanced, wide-ranging, and deeply informed book is certain to guide educators and reformers through a complex time of transition for U.S. education. But it also turns out to be timely and clarifying as politicians battle over ambitious new academic standards with plenty of heat and smoke but appallingly little illumination. Thanks to the authors for turning on some lights!” —Chester E. Finn, Jr., senior fellow, Hoover Institution, Stanford University and president, Thomas B. Fordham Institute Frederick M. Hess is director of education policy studies at the American Enterprise Institute (AEI) and serves as executive editor of Education Next. Michael Q. McShane is a research fellow in education policy studies at AEI. |
| common core state standards michigan math: Pedagogical Content Knowledge in STEM Stephen Miles Uzzo, Sherryl Browne Graves, Erin Shay, Marisa Harford, Robert Thompson, 2018-10-25 This volume represents both recent research in pedagogical content knowledge (PCK) in science, technology, engineering and math (STEM), as well as emerging innovations in how PCK is applied in practice. The notion of “research to practice” is critical to validating how effectively PCK works within the clinic and how it can be used to improve STEM learning. As the need for more effective educational approaches in STEM grows, the importance of developing, identifying, and validating effective practices and practitioner competencies are needed. This book covers a wide range of topics in PCK in different school levels (middle school, college teacher training, teacher professional development), and different environments (museums, rural). The contributors believe that vital to successful STEM education practice is recognition that STEM domains require both specialized domain knowledge as well as specialized pedagogical approaches. The authors of this work were chosen because of their extensive fieldwork in PCK research and practice, making this volume valuable to furthering how PCK is used to enlighten the understanding of learning, as well as providing practical instruction. This text helps STEM practitioners, researchers, and decision-makers further their interest in more effective STEM education practice, and raises new questions about STEM learning. |
| common core state standards michigan math: International Perspectives on Writing Curricula and Development Jill Jeffery, Judy M. Parr, 2021-05-27 This book contributes to the innovation of writing education and research globally by providing crucial insights into how the structures and aims of literacy curricula vary internationally. It examines how nine education systems across five continents represent ‘good writing’ in curricula that shape students’ experiences learning to write in school. The book presents curricular analyses aimed at providing insight into how writing development can be better supported through innovative policy and research. The findings regarding international variation are presented under three broad dimensions: social and contextual factors that shape writing curricula; the discourses of writing reflected in curricula and official documents; and hallmarks of classroom practice, including the relationship with official discourse. Case study chapters present integrated inductive and deductive document analyses, findings of which are compared in a concluding, cross-case analysis chapter. Offering a detailed comparative analysis of writing research, International Perspectives on Writing Curricula and Development will be of great interest to academics, researchers and students in the fields of education, literacy and curriculum studies. It will also be relevant reading for policymakers and curriculum designers. Chapters 1, 7, 9, 10, and 11 of this book are freely available as downloadable Open Access PDFs at http://www.taylorfrancis.com under a Creative Commons Attribution-Non Commercial-No Derivatives (CC-BY-NC-ND) 4.0 license. |
| common core state standards michigan math: The Language of Mathematics Patrick M. Jenlink, 2020-02-04 The Language of Mathematics: How the Teacher’s Knowledge of Mathematics Affects Instruction introduces the reader to a collection of thoughtful works by authors that represent current thinking about mathematics teacher preparation. The book provides the reader with current and relevant knowledge concerning preparation of mathematics teachers. The complexity of teaching mathematics is undeniable and all too often ignored in the preparation of teachers with substantive mathematical content knowledge and mathematical teaching knowledge. That said, this book has a focus on the substantive knowledge and the relevant pedagogy required for preparing teachings to enter classrooms to teach mathematics in K-12 school settings. Each chapter focuses on the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. Chapter One opens the book with a focus on the language and knowledge of mathematics teaching. The authors of Chapters Two-Nine present field-based research that examines the complexities of content and pedagogical knowledge as well as knowledge for teaching. Each chapter offers the reader an examination of mathematics teacher preparation and practice based on formal research that provides the reader with insight into how the research study was conducted as well as providing the findings and conclusions drawn with respect to mathematics teacher preparation and practice. Finally, Chapter 10 presents an epilogue that focuses on the future of mathematics teacher preparation. |
| common core state standards michigan math: International Perspectives on Mathematics Curriculum Denisse R Thompson, Mary Ann Huntley, Christine Suurtamm, 2018-01-01 Curriculum can be defined in a variety of ways. It might be viewed as a body of knowledge, a product, or a process. Curricula can differ as they are conceptualized from various theoretical perspectives to address the needs of teachers, students, and the context of schooling. One reason to study curriculum is “to reveal the expectations, processes and outcomes of students’ school learning experiences that are situated in different cultural and system contexts. … further studies of curriculum practices and changes are much needed to help ensure the success of educational reforms in the different cultural and system contexts” (Kulm & Li, 2009, p. 709). This volume highlights international perspectives on curriculum and aims to broaden the wider mathematics education community’s understandings of mathematics curriculum through viewing a variety of ways that curricula are developed, understood, and implemented in different jurisdictions/countries. Within this volume, we define curriculum broadly as the set of mathematics standards or outcomes, the messages inherent in mathematics curriculum documents and resources, how these standards are understood by a variety of stakeholders, and how they are enacted in classrooms. The focus is on the written, implied, and enacted curriculum in various educational settings throughout the world. |
| common core state standards michigan math: Multilingual Learners and Academic Literacies Daniella Molle, Edynn Sato, Timothy Boals, Carol A. Hedgspeth, 2015-03-05 Shifting the discourse from a focus on academic language to the more dynamic but less researched construct of academic literacies, this volume addresses three key questions: • What constitutes academic literacy? • What does academic literacy development in adolescent multilingual students look like and how can this development be assessed? • What classroom contexts foster the development of academic literacies in multilingual adolescents? The contributing authors provide divergent definitions of academic literacies and use dissimilar theoretical and methodological approaches to study literacy development. Nevertheless, all chapters reflect a shared conceptual framework for examining academic literacies as situated, overlapping, meaning-making practices. This framework foregrounds students’ participation in valued disciplinary literacy practices. Emphasized in the new college and career readiness standards, the notion of disciplinary practices allows the contributing authors to bridge the language/content dichotomy, and take a more holistic as well as nuanced view of the demands that multilingual students face in general education classrooms. The volume also explores the implications of the emphasis on academic literacy practices for classroom instruction, research, and policy. |
| common core state standards michigan math: Wisconsin Administrative Register , 2010 |
| common core state standards michigan math: Common Core Nicholas Tampio, 2018-03 Intro -- Contents -- Acknowledgments -- Introduction. Do We Need a Common Core? -- 1. Arguments for National Education Standards -- 2. Arguments against National Education Standards -- 3. English Standards, Close Reading, and Testing -- 4. Math Standards, Understanding, and College and Career Readiness -- 5. Science Standards, Scientific Unity, and the Problem of Sustainability -- 6. History Standards, American Identity, and the Politics of Storytelling -- 7. Sexuality Standards, Gender Identity, and Religious Minorities -- Conclusion. Democracy, Education Standards, and Local Control -- Epilogue. Democracy and the Test Refusal Movement -- Notes -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W -- Z -- About the Author |
| common core state standards michigan math: Exploring the Integer Addition and Subtraction Landscape Laura Bofferding, Nicole M. Wessman-Enzinger, 2018-08-24 Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students’ learning. This book brings together recent work from researchers to illuminate the state of our understanding about issues related to integer addition and subtraction with a goal of highlighting how the variety of perspectives support each other or contribute to the field in unique ways. In particular, this book focuses on three main areas of integer work: students’ thinking, models and metaphors, and teachers’ thinking. Each chapter highlights a theoretically guided study centered on integer addition and subtraction. Internationally known scholars help connect the perspectives and offer additional insights through section commentaries. This book is an invaluable resource to those who are interested in mathematics education and numerical thinking. |
| common core state standards michigan math: Michigan 2nd Grade Math Test Prep Teachers' Treasures, 2014-10-13 Our Michigan 2nd Grade Math Test Prep for Common Core State Standards is an excellent resource to assess and manage student's understanding of concepts outlined in the Common Core State Standards Initiative. This resource is formatted into three sections: Diagnostic, Practice, and Assessment with multiple choice and open questions in each section. The material covered includes emphasis on representing and solving problems involving addition and subtraction; adding and subtracting within 20; working with equal groups of objects to gain foundations for multiplication; understanding place value; using place value understanding and properties of operations to add and subtract; measuring and estimating lengths in standard units; relating addition and subtraction to length; working with time and money; representing and interpreting data; reasoning with shapes and their attributes. These standards are covered extensively by the practice problems. This book contains over 600 practice problems aligned to each Common Core State Standard. In addition the book contains an answer key to practice problems. Paperback: 221 double-sided pages Publisher: Teachers' Treasures, Inc. Language: English |
| common core state standards michigan math: Illuminating and Advancing the Path for Mathematical Writing Research Colonnese, Madelyn W., Casa, Tutita M., Cardetti, Fabiana, 2023-11-20 Mathematical writing is essential for students’ math learning, but it’s often underutilized due to unclear guidelines. Mathematical writing is a mode of communication that provides teachers access to their students’ thinking and, importantly, offers students an opportunity to deepen their mathematical understanding, engage in mathematical reasoning, and learn a fundamental way to communicate mathematically. Notably, one needs to be able to judiciously combine mathematical symbols, representations, and text. However, more research is needed to exemplify the qualities of mathematical writing, develop implementation methods, and support teachers. Illuminating and Advancing the Path for Mathematical Writing Research, is a necessary comprehensive resource designed to enhance mathematical writing and promote equitable learning. This research book provides a comprehensive understanding of the current state of mathematical writing and illuminates various perspectives on moving the teaching and learning of k-12 mathematical writing forward. Mathematical writing is an important yet underutilized component of mathematical discourse, and this book offers further insight into understanding what it means to write mathematically for mathematics educators and researchers. It informs with research-based implementation strategies and creates purposeful professional learning opportunities. Ultimately, k-12 students will benefit from a more informed field because they will have access to a vital mode of mathematical reasoning and communication. |
| common core state standards michigan math: What Lies Ahead for America's Children and Their Schools Richard Sousa, 2014-03-01 The coming decade holds immense potential for dramatic improvement in U.S. education and in the achievement of American children and in this volume, members of the Hoover Institution’s Koret Task Force on K–12 Education examine both the potential gains and the pitfalls that lie ahead, informed by where U.S. education has been, what changes have been made in recent years, and what’s still required for the comprehensive overhaul that this vital enterprise so urgently needs. Looking backward is infinitely easier than predicting the future, but planning for the future is necessary if anything is to change and by analyzing the recent past and present condition of American primary and secondary school education across a host of key topics, task force members in this volume chart a bold course for the years ahead. Optimistic about the opportunities at hand, they identify essential—and feasible—reforms as well as the barriers that must be overcome if those changes are to occur. They offer high-quality scholarship and thoughtful prescriptions for productive policy alternatives. |
| common core state standards michigan math: Fewer, Clearer, Higher Robert Rothman, 2013-10-01 In clear and concise language, veteran education writer Robert Rothman identifies nine instructional “shifts” encouraged by the new Common Core State Standards and provides examples of how teachers and school districts are overcoming challenges in implementation. He presents the research and rationale behind each change and provides examples of teachers making the shifts as well as sample test questions that could be used to gauge student progress in the future. Rothman also addresses major challenges that are emerging as districts and schools move to implement the standards and highlights the ways leading school districts are working to overcome them. Fewer, Clearer, Higher—the mantra adopted by the writers of the Common Core to emphasize the difference between existing state standards and the new ones needed to truly prepare all students for college or careers—is an indispensable guide for educators and anyone else seeking a better understanding of this major new development in education policy. |
| common core state standards michigan math: Common Core State Standards for Mathematics , 2012 |
| common core state standards michigan math: Lesson Imaging in Math and Science Michelle Stephan, David Pugalee, Julie Cline, Chris Cline, 2016-10-26 From respected voices in STEM education comes an innovative lesson planning approach to help turn students into problem solvers: lesson imaging. In this approach, teachers anticipate how chosen activities will unfold in real time—what solutions, questions, and misconceptions students might have and how teachers can promote deeper reasoning. When lesson imaging occurs before instruction, students achieve lesson objectives more naturally and powerfully. A successful STEM unit attends to activities, questions, technology, and passions. It also entails a careful detailed image of how each activity will play out in the classroom. Lesson Imaging in Math and Science presents teachers with A process of thinking through the structure and implementation of a lesson A pathway to discovering ways to elicit student thinking and foster collaboration An opportunity to become adept at techniques to avoid shutting down the discussion—either by prematurely giving or acknowledging the “right” answer or by casting aside a “wrong” answer Packed with classroom examples, lesson imaging templates, and tips on how to start the process, this book is sure to help teachers anticipate students’ ideas and questions and stimulate deeper learning in science, math, engineering, and technology. |
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