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common core math problem example: Strategies for Common Core Mathematics Leslie Texas, Tammy Jones, 2013-11-20 This new, practical book provides an explanation of each of the eight mathematical practices and gives middle school educators specific instructional strategies that align with the Common Core State Standards for Mathematics. Math teachers, curriculum coordinators, and district math supervisors get practical ideas on how to engage middle school students in mathematical practices, develop problem-solving skills, and promote higher-order thinking. Learn how to scaffold activities across grades and get strategies you can implement immediately in your classroom. All middle school mathematics educators should have this book in their professional libraries! |
common core math problem example: Grade 7 Common Core Math Review Sandra Luna McCune, 2015 A subject review of Common Core Math for Grade 7, including reviews of topics, example problems, and two practice tests for this high-stakes Grade 7 Math. |
common core math problem example: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking. |
common core math problem example: Common Core Math For Parents For Dummies with Videos Online Christopher Danielson, 2015-04-06 Help your child succeed with a better understanding of Common Core Math Common Core Math For Parents For Dummies is packed with tools and information to help you promote your child's success in math. The grade-by-grade walk-through brings you up to speed on what your child is learning, and the sample problems and video lessons help you become more involved as you study together. You'll learn how to effectively collaborate with teachers and keep tabs on your child's progress, so minor missteps can be corrected quickly, before your child falls behind. The Common Core was designed to improve college- and career-readiness, and to prepare U.S. students to be more competitive on an international stage when it's time to enter the workforce. This guide shows you how the standards were created, and how they've evolved over time to help ensure your child's future success. The Common Core Math Standards prepare students to do real math in the real world. Many new teaching methods are very different from the way most parents learned math, leading to frustration and confusion as parents find themselves unable to help with homework or explain difficult concepts. This book cuts the confusion and shows you everything you need to know to help your child succeed in math. Understand the key concepts being taught in your child's grade Utilize the homework tools that help you help your child Communicate more effectively with your child's teacher Guide your child through sample problems to foster understanding The Common Core was designed to ensure that every student, regardless of location or background, receives the education they need. Math skills are critical to real-world success, and the new standards reflect that reality in scope and rigorousness. Common Core Math For Parents For Dummies helps you help your child succeed. |
common core math problem example: Common Core Mathematics Workbook For Grade 6 Reza Nazari, Ava Ross, 2018-08-19 The Best Book for 6th-grade students to ACE the Common Core Math Exam! The goal of this book is simple. It will help your student incorporates the best method and the right strategies to prepare for the Common Core Mathematics test FAST and EFFECTIVELY. Common Core Mathematics Workbook is full of specific and detailed material that will be key to succeeding on the Common Core Math. It's filled with the critical math concepts a student will need in order to ace the test. Math concepts in this book break down the topics, so the material can be quickly grasped. Examples are worked step–by–step, so you learn exactly what to do. Common Core Mathematics Workbook helps your student to focus on all Math topics that students will need to ace the Common Core Math test. This book with 2 complete Common Core tests is all your student will ever need to fully prepare for the Common Core Math. This workbook includes practice test questions. It contains easy–to–read essential summaries that highlight the key areas of the Common Core Math test. Effortless Math test study guide reviews the most important components of the Common Core Math test. Anyone planning to take the Common Core Math test should take advantage of the review material and practice test questions contained in this study guide. Inside the pages of this workbook, students can learn basic math operations in a structured manner with a complete study program to help them understand essential math skills. It also has many exciting features, including: Dynamic design and easy–to–follow activitiesA fun, interactive and concrete learning processTargeted, skill–building practicesMath topics are grouped by category, so students can focus on the topics they struggle onAll solutions for the exercises are included, so you will always find the answers2 Complete Common Core Math Practice Tests that reflect the format and question types on Common Core Common Core Mathematics Workbook is a breakthrough in Math learning — offering a winning formula and the most powerful methods for learning basic Math topics confidently. Each section offers step–by–step instruction and helpful hints, with a few topics being tackled each chapter. Two complete REAL Common Core Math tests are provided at the back of the book to refine your student’s Math skills. Common Core Math Workbook is the only book your student will ever need to master Basic Math topics! It can be used as a self–study course – you do not need to work with a Math tutor. (It can also be used with a Math tutor). Ideal for self–study as well as for classroom usage. Published by: Effortless Math Education www.EffortlessMath.com |
common core math problem example: 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 math problem example: 50 Leveled Math Problems Level 3 Linda Dacey, 2012-04-01 It includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a dstudent activity sheet featuring a problem tiered at three levels, plus digital resources that inc electronic versions of activity sheets. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction. |
common core math problem example: Advanced Common Core Math Explorations Jerry Burkhart, 2021-09-03 Students become mathematical adventurers in these challenging and engaging activities designed to deepen and extend their understanding of concepts from the Common Core State Standards in Mathematics. The investigations in this book stretch students' mathematical imaginations to their limits as they solve puzzles, create stories, and explore fraction-related concepts that take them from the mathematics of ancient Greece to the outer reaches of infinity. Each activity comes with detailed support for classroom implementation including learning goals, discussion guides, detailed solutions, and suggestions for extending the investigation. There is also a free supplemental e-book offering strategies for motivation, assessment, parent communication, and suggestions for using the materials in different learning environments. Grades 5-8 |
common core math problem example: Mathematics, the Common Core, and RTI Dolores Burton, John Kappenberg, 2013-09-27 Don't let the revolution in math education pass your teachers by By now, most teachers have a shelf full of books, articles, and reports on the Common Core and RTI. But where's the resource that addresses how the two fit together? Individually, the Common Core and RTI are formidable enough. Together, they create a perfect storm of challenges, with most teachers left wondering where to turn first. Finally, here's a guide that distills the central elements of the Common Core and RTI into a single, manageable resource that provides strategies for serving all students. You will find: Real-world scenarios based on actual school-based issues Multiple classroom-ready work samples Content-area applications of RTI, including math vocabulary and literacy A focus on instructional technology, with references to online resources in every chapter Preparation for future developments in state and national educational policy With additional guidance on students with special needs, behavioral issues, English language learners, and parent involvement, this all-in-one resource gives your teachers a distinct advantage in providing the superior math instruction all students deserve. |
common core math problem example: Assessment Prep for Common Core Mathematics, Grade 7 Mace, 2015-01-05 The Assessment Prep for Common Core Mathematics series is designed to help students in grades 6 through 8 acquire the skills and practice the strategies needed to successfully perform on Common Core State Standards assessments. Covers geometry, ratios and proportional relationships, the number system, expressions and equations, and statistics and probability. Each book includes test-taking strategies for multiple-choice questions, test-taking strategies for open-ended questions, and answers and diagnostics. Mark Twain Media Publishing Company specializes in providing captivating, supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, the product line covers a range of subjects including mathematics, sciences, language arts, social studies, history, government, fine arts, and character. |
common core math problem example: Blended Learning in Grades 412 Catlin R. Tucker, 2012-06-13 This book comes at the right time with answers for teachers, principals, and schools who want to be on the cutting edge of the effective use of technology, the internet, and teacher pedagogy. |
common core math problem example: Assessment Prep for Common Core Mathematics, Grade 6 Karise Mace, 2015-01-05 The Assessment Prep for Common Core Mathematics series is designed to help students in grades 6 through 8 acquire the skills and practice the strategies needed to successfully perform on Common Core State Standards assessments. Covers geometry, ratios and proportional relationships, the number system, expressions and equations, and statistics and probability. Each book includes test-taking strategies for multiple-choice questions, test-taking strategies for open-ended questions, and answers and diagnostics. Mark Twain Media Publishing Company specializes in providing captivating, supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, the product line covers a range of subjects including mathematics, sciences, language arts, social studies, history, government, fine arts, and character. |
common core math problem example: Assessment Prep for Common Core Mathematics, Grade 8 Mace, 2015-01-05 The Assessment Prep for Common Core Mathematics series is designed to help students in grades 6 through 8 acquire the skills and practice the strategies needed to successfully perform on Common Core State Standards assessments. Covers geometry, ratios and proportional relationships, the number system, expressions and equations, and statistics and probability. Each book includes test-taking strategies for multiple-choice questions, test-taking strategies for open-ended questions, and answers and diagnostics. Mark Twain Media Publishing Company specializes in providing captivating, supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, the product line covers a range of subjects including mathematics, sciences, language arts, social studies, history, government, fine arts, and character. |
common core math problem example: CliffsNotes Grade 6 Common Core Math Review Sandra Luna McCune, 2015 A subject review of the Common Core Math for Grade 6, including topic reviews, example problems, and two practice tests to help students better understand this high-stakes subject. |
common core math problem example: SWYK on the Common Core Math Gr. 7, Student Workbook Show What You Know Publishing, 2012-09-01 Assess student knowledge of the national Common Core State Standards (CCSS) for Reading and Mathematics with two full-length Assessments for each subject. Questions provide students with the necessary practice needed to achieve academic success with the CCSS. Chapters on test-taking strategies and test anxiety build students confidence and test-taking skills. Glossaries familiarize students with vocabulary terms and concepts found on state proficiency tests. |
common core math problem example: Teaching Mathematics Using Popular Culture Elana Reiser, 2015-10-29 Mathematics teachers often struggle to motivate their students. One way to cultivate and maintain student interest is for teachers to incorporate popular media into their methodology. Organized on the subject strands of the Common Core, this book explores math concepts featured in contemporary films and television shows and offers numerous examples high school math teachers can use to design lessons using pop culture references. Outlines for lessons are provided along with background stories and historical references. |
common core math problem example: Using Developmentally Appropriate Practices to Teach the Common Core Lisa S. Goldstein, 2015-07-16 Using Developmentally Appropriate Practices to Teach the Common Core: Grades PreK–3 provides current and prospective primary grade teachers with an understanding of the CCSS-ELA and CCSS-M that highlights their compatibility with developmentally appropriate practices (DAP), the instructional approach generally preferred by teachers of young children. The book begins by framing the CCSS as a distinct improvement over lengthy lists of academic content standards and as a carefully conceptualized and DAP-friendly set of curriculum guidelines. Next, the CCSS-ELA and CCSS-M for Grades K–3 are unpacked, analyzed, synthesized, and cross-referenced to key features of DAP. Finally, several hot topic issues—differentiating instruction to meet the needs of all learners, ensuring equitable access to the curriculum for English Language Learners, addressing assessment and accountability expectations, and educating parents and families about the CCSS and DAP—are prioritized and examined in depth. Using Developmentally Appropriate Practices to Teach the Common Core: Grades PreK–3 is a highly useful guide for both pre-service and in-service early childhood education teachers. |
common core math problem example: Uncomplicating Algebra to Meet Common Core Standards in Math, K-8 Marian Small, 2014-05-26 In the second book in the Uncomplicating Mathematics Series, professional developer Marian Small shows teachers how to uncomplicate the teaching of algebra by focusing on the most important ideas that students need to grasp. Organized by grade level around the Common Core State Standards for Mathematics, Small shares approaches that will lead to a deeper and richer understanding of algebra for both teachers and students. The book opens with a clear discussion of algebraic thinking and current requirements for algebraic understanding within standards-based learning environments. The book then launches with Kindergarten, where the first relevant standard is found in the operations and algebraic thinking domain, and ends with Grade 8, where the focus is on working with linear equations and functions. In each section the relevant standard is presented, followed by a discussion of important underlying ideas associated with that standard, as well as thoughtful, concept-based questions that can be used for classroom instruction, practice, or assessment. The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical doers. This resource will be invaluable for pre- and inservice teachers as they prepare themselves to understand and teach algebra with a deep level of understanding. |
common core math problem example: Common Core Standards and Mathematics Grades 6 -12: Strategies for Student Success Toby Karten, 2013-01-01 Common Core Standards & Mathematics: Strategies for Student Success (Grades 6-12) is an easy access, 6-page (tri-fold) laminated guide by Toby Karten. This classroom tool is designed to help middle and high school teachers understand the organization and application of the Common Core State Standards for Mathematics (CCSS.M), which define the grade-specific knowledge and procedural skills students are expected to achieve in their study of mathematics. Karten, an expert on inclusion, notes that the standards apply to all students¿including students with disabilities receiving special education services¿and provides ideas for helping diverse students meet grade-level standards. This comprehensive guide defines key terms, such as domains and clusters, and provides multiple quick-reference charts, including ones that that depict * Grades K-5 domains, Grades 6-8 domains, Grades 9-12 Categories * The Standards for Mathematical Practice (CCSSMP) and grade-specific student scenarios * The Standards for Mathematical Content (CCSS.Math.Content.HS) The guide also offers ten tips for connecting math standards to students¿ lives/interests, with detailed examples provided for applying each tip to various content standards. In addition, a valuable list of additional online and print resources for secondary teachers is provided. |
common core math problem example: SWYK on the Common Core Math Gr. 6, Student Workbook Show What You Know Publishing, 2012-09-01 Assess student knowledge of the national Common Core State Standards (CCSS) for Reading and Mathematics with two full-length Assessments for each subject. Questions provide students with the necessary practice needed to achieve academic success with the CCSS. Chapters on test-taking strategies and test anxiety build students confidence and test-taking skills. Glossaries familiarize students with vocabulary terms and concepts found on state proficiency tests. |
common core math problem example: SWYK on the Common Core Math Gr. 6, Parent/Teacher Edition Show What You Know Publishing, 2012-09-01 Correlates with the Student Workbook; Reviews the Common Core State Standards (CCSS) for Reading and Mathematics; Provides correct answers and sample responses for the Assessments; Correlation charts and skills charts help educators track students strengths and weaknesses with the CCSS. |
common core math problem example: Common Core Standards in Diverse Classrooms Jeff Zwiers, Susan O'Hara, Robert Pritchard, 2023-10-10 The Common Core State Standards require students to do more with knowledge and language than ever before. Rather than be mere consumers of knowledge, students must now become creators, critics, and communicators of ideas across disciplines. Yet in order to take on these new and exciting roles, many students need daily teaching with an extra emphasis on accelerating their academic communication skills. Common Core Standards in Diverse Classrooms: Essential Practices for Developing Academic Language and Disciplinary Literacy describes seven research-based teaching practices for developing complex language and literacy skills across grade levels and disciplines: using complex texts, fortifying complex output, fostering academic interaction, clarifying complex language, modeling, guiding, and designing instruction. Most important, you will find clear descriptions and examples of how these essential practices can-;and should-;be woven together in real lessons. The book: Clarifieshow to support the learning of complex language that students need for reaching Common Core and other standardsProvides practical ways to realize the instructional shifts needed with the implementation of new standards in diverse classroomsIncludes frameworks and descriptions on how to develop students' complex language, speaking, and writingHelps maximize strategies and tools for building system-wide capacity for sustained growth in the practicesCommon Core Standards in Diverse Classrooms is a concise guide for helping us improve our practices to strengthen two vital pillars that support student learning: academic language and disciplinary literacy. |
common core math problem example: Getting to the Common Core Sharon L. Spencer, Sandra Vavra, 2015-01-01 The Common Core Standards have recently been adopted in most states across the nation and teachers are in the process of getting to the core of these standards. Teaching to standards is not a new concept; teachers have adapted to new standards every few years for quite some time. And teachers are adaptable, as can be seen in this book. We are writing this book to demonstrate how teachers use research-based strategies to meet Common Core Standards while still focusing on students. Our goal is to help teachers visualize students in action as other teachers describe the implementation of research-based strategies in their own classrooms, show student work samples, and provide reflections of student success in achieving the standards. Many Common Core Standards books focus on the standards, but our approach focuses on strategies that engage the students in the classroom--showing how different teachers at varying grade levels have used the strategies to meet the standards. With this focus, we believe that teachers gain a new and positive perspective on approaching the new standards and see the flexibility of strategies for meeting standards across subject areas. We have examined research on the strategies with the purpose of giving teachers a brief description of why these strategies work before giving actual examples from classrooms. We also work closely with teachers in the public schools and have our finger on the pulse of what is happening in the public schools—one of the current stressors being unpacking the Common Core Standards This book actually focuses on practice. We begin by laying out a rationale in our first chapter---The Core Value(s) of Education. Then, each chapter focuses on a strategy, including 1) a brief description about the research supporting each strategy and 2) several examples from different grade levels, which include a description of how the strategy was used, student work samples, and a reflection on the use of the strategy. The research descriptions are fairly short because, while we believe professional educators (aka teachers, in this case) should know the research that supports practice, we know they are not typically interested in long diatribes about the research. |
common core math problem example: SWYK on the Common Core Math Gr. 8, Student Workbook Show What You Know Publishing, 2012-09-01 Assess student knowledge of the national Common Core State Standards (CCSS) for Reading and Mathematics with two full-length Assessments for each subject. Questions provide students with the necessary practice needed to achieve academic success with the CCSS. Chapters on test-taking strategies and test anxiety build students confidence and test-taking skills. Glossaries familiarize students with vocabulary terms and concepts found on state proficiency tests. |
common core math problem example: Why Johnny Can't Add Morris Kline, 1974 Briefly discusses the traditional mathematics formerly taught in American schools and views the language and weaknesses of the modern math curriculum |
common core math problem example: 50 Leveled Math Problems Level 4 Linda Dacey, 2012-04-01 It includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a dstudent activity sheet featuring a problem tiered at three levels, plus digital resources that inc electronic versions of activity sheets. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction. |
common core math problem example: Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8 Judith A. Muschla, Gary R. Muschla, Erin Muschla, 2012-04-10 Helpful advice for teaching Common Core Math Standards to middle-school students The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards. This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies. Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real life This practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics. |
common core math problem example: SWYK on the Common Core Math Gr. 7, Parent/Teacher Edition Show What You Know Publishing, 2012-09-01 Correlates with the Student Workbook; Reviews the Common Core State Standards (CCSS) for Reading and Mathematics; Provides correct answers and sample responses for the Assessments; Correlation charts and skills charts help educators track students strengths and weaknesses with the CCSS. |
common core math problem example: Cases on Technology Integration in Mathematics Education Polly, Drew, 2014-09-30 Common Core education standards establish a clear set of specific ideas and skills that all students should be able comprehend at each grade level. In an effort to meet these standards, educators are turning to technology for improved learning outcomes. Cases on Technology and Common Core Mathematics provides a compilation of cases and vignettes about the application of technology in the classroom in order to enhance student understanding of math concepts. This book is a timely reference source for mathematics educators, educational technologists, and school district leaders employed in the mathematics education or educational technology fields. |
common core math problem example: 50 Leveled Math Problems Level 6 Anne Collins, 2012-04-01 Developed in conjunction with Lesley University, this classroom resource for Level 6 provides effective, research-based strategies to help teachers differentiate problem solving in the classroom and includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a student activity sheet featuring a problem tiered at three levels, plus a ZIP file with electronic versions of activity sheets.This resource was developed with Common Core State Standards as its foundation, is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction. 144pp. |
common core math problem example: 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 math problem example: CliffsNotes Grade 7 Common Core Math Review Sandra Luna McCune, 2015-06-30 Nearly half of adults, including parents of middle-school students, have never heard of the Common Core State Standards, let alone have a working knowledge of what exactly their children face when it comes to middle-school math. Even teachers acknowledge struggling with how best to teach their students these math standards. CliffsNotes comes to the rescue with this Grade 7 Common Core Math Review. Aligned to the state standards, this book provides essential coverage of the Grade 7 CCSS math that's challenging middle-school students, teachers, and parents alike. The material covers all of the math standards that comprise Grade 7 CCSS math: • Ratios and proportional relationships • The number system • Geometry • Expressions and equations • Statistics and probability Two practice tests round out the book, plus every review chapter includes example problems. |
common core math problem example: Conceptual Programming with Python Thorsten Altenkirch, Isaac Triguero, 2019 Thorsten and Isaac have written this book based on a programming course we teach for Master's Students at the School of Computer Science of the University of Nottingham. The book is intended for students with little or no background in programming coming from different backgrounds educationally as well as culturally. It is not mainly a Python course but we use Python as a vehicle to teach basic programming concepts. Hence, the words conceptual programming in the title. We cover basic concepts about data structures, imperative programming, recursion and backtracking, object-oriented programming, functional programming, game development and some basics of data science. |
common core math problem example: Teaching to the Math Common Core State Standards F. D. Rivera, 2014-02-05 This is a methods book for elementary majors and preservice/beginning elementary teachers. It takes a very practical approach to learning to teach elementary school mathematics in an emerging Age of the Common Core State Standards. The Common Core State Standards in Mathematics (CCSSM) is not meant to be “the” official mathematics curriculum; it was purposefully developed primarily to provide clear learning expectations of mathematics content that are appropriate at every grade level and to help prepare all students to be ready for college and the workplace. A quick glance at the Table of Contents in this book indicates a serious engagement with the recommended mathematics underlying the kindergarten through grade 5 portions of the CCSSM first, with issues in content-practice assessment, learning, teaching, and classroom management pursued next and in that order. In this book we explore what it means to teach to the CCSSM within an alignment mindset involving content-practice learning, teaching, and assessment. The CCSSM content standards, which pertain to mathematical knowledge, skills, and applications, have been carefully crafted so that they are teachable, learnable, coherent, fewer, clearer, and higher. The practice standards, which refer to institutionally valued mathematical actions, processes, and habits, have been conceptualized in ways that will hopefully encourage all elementary students to engage with the content standards more deeply than merely acquiring mathematical knowledge by rote and imitation. Thus, in the CCSSM, proficiency in content alone is not sufficient, and so does practice without content, which is limited. Content and practice are both equally important and, thus, must come together in teaching, learning, and assessment in order to support authentic mathematical understanding. This blended, multisourced text is a “getting smart” book. It helps elementary majors and preservice/beginning elementary teachers work within the realities of accountable pedagogy and develop a proactive disposition that is capable of supporting all elementary students in order for them to experience growth in mathematical understanding necessary for middle school and beyond, including future careers. |
common core math problem example: Bringing the Common Core Math Standards to Life Yvelyne Germain-McCarthy, 2014-04-16 As middle school math teachers shift to the Common Core State Standards, the question remains: What do the standards actually look like in the classroom? This book answers that question by taking you inside of real, Common Core classrooms across the country. You’ll see how exemplary teachers are meeting the new requirements and engaging students in math. Through these detailed examples of effective instruction, you will uncover how to bring the standards to life in your own classroom! Special Features: • A clear explanation of the big shifts happening in the classroom as a result of the Common Core State Standards • Real examples of how exemplary teachers are meeting the CCSS by teaching problem solving for different learning styles, proportional reasoning, the Pythagorean theorem, measurements, and more • A detailed analysis of each example to help you understand why it is effective and how you can try it with your own students • Practical, ready-to-use tools you can take back to your classroom, including unit plans and classroom handouts |
common core math problem example: Mathematical Problem Posing Florence Mihaela Singer, Nerida F. Ellerton, Jinfa Cai, 2015-06-12 The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. |
common core math problem example: Opening the Common Core Carol Corbett Burris, Delia T. Garrity, 2012-03-13 The CCSS open the door to success Do you wish you could leverage the Common Core State Standards (CCSS) to equip all students--not just high achievers--with the higher-level thinking skills they need? You can, and this book will show you how. The authors helped lead their district--Rockville Centre in Long Island, New York--in closing achievement gaps and increasing the number of students who completed four-year college programs. The results of their efforts show a remarkable increase in both excellence and equity in English language arts, math, and science. This book outlines the authors′ research-based ACES framework for instructional improvement to help achieve similar results: Acceleration rather than remediation Critical thinking Equity in education for all students Support Educators will find practical strategies that are applied and developed in model lessons linked to the CCSS and KSUS (Knowledge and Skills for University Success) standards. Understanding why we need to prepare all children to be college and career ready is easy. Making it happen is not. Learn from those who have succeeded, and your students will reap the rewards. |
common core math problem example: Cases for Mathematics Teacher Educators Dorothy Y. White, Sandra Crespo, Marta Civil, 2016-10-01 The Association of Mathematics Teacher Educators (AMTE) in its 2015 position paper on Equity in Mathematics Teacher Education provides a list of actions for mathematics teacher educators (MTE’s) to help them develop and implement equitable practices. The position paper states it is critical that mathematics teacher educators: “Model equity?based pedagogy that emphasizes rich and rigorous mathematics; elicit and build on children’s and young adults’ mathematical thinking; connect to P?12 students’ cultural/linguistic knowledge and backgrounds as well as individual interests; facilitate mathematical discourse; minimize status issues by expanding broader participation and engagement where varied mathematical strengths are valued; and promote positive mathematical identity and agency (p. 2)”. Cases for Mathematics Teacher Educators: Facilitating Conversations about Inequities in Mathematics Classrooms provides an excellent resource to start conversations describing the enactment of these actions. The book is organized into three main sections: (1) Conversations About Inequities in Mathematics Methods Courses, (2) Conversations About Inequities in Mathematics Content Courses, and (3) Conversations about Inequities in Graduate and Professional Development Contexts. Across these sections there are 19 cases and 57 corresponding commentaries focused on dilemmas that arise when mathematics teacher educators foreground equity in their work. This book of cases provides a needed resource for MTEs to engage prospective teachers, practicing teachers, and future teacher educators in discussions about inequities, privilege, and oppression in society, in schools, and in the mathematics classroom. It is the product of the thinking and experiences of 87 authors who are committed to the improvement of mathematics teacher education. |
common core math problem example: The Common Core Mathematics Companion: The Standards Decoded, High School Frederick L. Dillon, W. Gary Martin, Basil M. Conway IV, Marilyn E. Strutchens, 2017-09-12 Your User’s Guide to the Mathematics Standards When it comes to mathematics, standards aligned is achievement aligned... In the short time since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. Page by page, the authors lay out the pieces of an in-depth explanation, including The mathematical progression of each conceptual category, starting with modeling as a unifying theme, and moving through number & quantity, algebra, functions, geometry, and statistics and probability, building from the 8th grade standards The mathematics embedded in each conceptual category for a deeper understanding of the content How standards connect within and across domains, and to previous grade standards, so teachers can better appreciate how they relate How standards connect with the standards for mathematical practice, with a focus on modeling as a unifying theme Example tasks, progressions of tasks, and descriptions of what teachers and students should be doing to foster deep learning The Common Core Mathematics Companion: The Standards Decoded, High School has what every high school teacher needs to provide students with the foundation for the concepts and skills they will be expected to know . |
common core math problem example: Common Core Standards for Elementary Grades K–2 Math & English Language Arts Amber Evenson, Monette McIver, Susan Ryan, Amitra Schwols, 2013-05-20 Smart implementation of the Common Core State Standards requires both an overall understanding of the standards and a grasp of their implications for planning, teaching, and learning. This Quick-Start Guide provides a succinct, all-in-one look at * The content, structure, terminology, and emphases of the Common Core standards for mathematics and English language arts and literacy in the lower elementary grades. * The meaning of the individual standards within each of the four ELA/literacy strands and five math domains, with an emphasis on areas that represent the most significant changes to business as usual. * How the standards connect across and within strands, domains, and grade levels to develop the foundational language arts, literacy, and mathematics understanding that will support a lifetime of successful learning. Here, teachers of grades K–2 and elementary school leaders will find information they need to begin adapting their practices to help all students master the new and challenging material contained in the standards. A practical lesson planning process to use with the Common Core, based on Classroom Instruction That Works, 2nd Ed., is included, along with six sample lessons. LEARN THE ESSENTIALS OF THE COMMON CORE The grade-level and subject-specific Quick-Start Guides in the Understanding the Common Core Standards series, edited by John Kendall, are designed to help school leaders and school staffs turn Common Core standards into coherent, content-rich curriculum and effective, classroom-level lessons. |
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