Download or read book Pedagogy and Content in Middle and High School Mathematics written by G. Donald Allen and published by Springer. This book was released on 2017-11-10 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an accumulation of articles, included in Focus on Mathematics Pedagogy and Content, a newsletter for teachers, published by Texas A&M University. Each article presents a discussion of a middle or high school mathematics topic. Many of the articles are written by professors at Texas A&M University. The book is broken into three parts, with the first part focusing on content and pedagogy, related to the NCTM content strands of Number, Algebra, Geometry, Measurement, and Statistics and Probability. Articles include an in-depth presentation of mathematical content, as well as suggested instructional strategies. Thus, the integration of content knowledge and pedagogical knowledge is emphasized. The second and third parts apply to assessments, mathematical games, teaching tips, and technological applications. While other pedagogical reference books may provide an in-depth look at how to teach a topic, this book includes articles that also explain a topic, in great length. Thus, teachers may develop content knowledge first and then re-read each article, in order to learn appropriate instructional strategies to use. Many articles include technological applications, which are interspersed throughout the book. In addition, a special section, which includes helpful information, available tools, training sessions, and other references, for using technology in mathematics, is also presented.

Download or read book High School Mathematics Lessons to Explore Understand and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

Download or read book Teaching to the Math Common Core State Standards written by F. D. Rivera and published by Springer. This book was released on 2015-06-17 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a methods book for preservice middle level majors and beginning middle school teachers. It takes a very practical approach to learning to teach middle 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 Grade 5 through Grade 8 and (traditional pathway) Algebra I 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 Common Core state 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 middle school 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 prepares preservice middle level majors and beginning middle school teachers to work within the realities of accountable pedagogy and to develop a proactive disposition that is capable of supporting all middle school students in order for them to experience growth in mathematical understanding that is necessary for high school and beyond, including future careers.

Download or read book The Learning and Teaching of Geometry in Secondary Schools written by Pat Herbst and published by Routledge. This book was released on 2017-03-16 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.

Download or read book Teaching Mathematics in Secondary and Middle School written by James S. Cangelosi and published by Prentice Hall. This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For senior-level and graduate courses in Methods of Teaching Mathematics for Secondary and Middle School Teachers. Focused on all the complex aspects of teaching mathematics in today's classroom and the most current NCTM recommendations and standards this text shows students how to creatively incorporate the Standards into their teaching along with inquiry instructional strategies (for leading pupils to do meaningful mathematics) and direct strategies (for developing mathematical skills). Interactive in approach, it includes an abundance of illustrative examples, numerous cases, one expansive case study that follows a mathematics teacher through his first year in the profession, cooperative learning activities, field-based activities, and transitional activities.

Download or read book Embracing Mathematics written by Peter Appelbaum and published by Routledge. This book was released on 2008-06-30 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This "alternative textbook" integrates pedagogy and content exploration in ways that are unique in mathematics education, provoking new ideas for making mathematics education meaningful to teachers at all levels as well as their students.

Download or read book Teacher Education Matters written by William H. Schmidt and published by International Perspectives on. This book was released on 2011-01-20 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a major international teacher education research project—the Mathematics Teaching in the 21st Century Study (MT21)—this book investigates the preservice preparation of middle school mathematics teachers in the United States, South Korea, Taiwan, Germany, Bulgaria, and Mexico. The study was funded by the National Science Foundation and the participating countries. William Schmidt (co-author of the influential TIMSS study on student test results in science and math) and Maria Teresa Tatto (director of the Teacher Education and Development study, or TEDS-M) led a collaborative team of international researchers in this study. Using the results of more than 2,500 surveys, the authors examine the differential contribution of the six countries’ teacher-education models to the knowledge, skills, and dispositions of their future mathematics teachers. Case studies and detailed analyses of the teacher education curriculum across the participating countries provide rich contextual information to explain the survey findings. This study is the first to examine the resource allocation and economic support in teacher education vis-à-vis other mathematics-related professions, and it shows that differential investment patterns are consistent with the level of teaching knowledge found in each country’s new teachers. The book includes a chapter on policy implications, with a special focus on teacher preparation in the United States.

Download or read book Making Sense of Mathematics for Teaching High School written by Edward C. Nolan and published by Solution Tree Press. This book was released on 2016-05-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Download or read book Teaching and Learning High School Mathematics written by Charlene E. Beckmann and published by John Wiley & Sons. This book was released on 2009-11-02 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Too many high school students, faced with mathematics in courses at the level of algebra and beyond, find themselves struggling with abstract concepts and unwilling to pursue further study of mathematics. When students curtail their course taking in mathematics, they may be impacting their college and career options. Thus, high school mathematics teachers have the responsibility to help students recognize the value and importance of mathematics while also designing instruction that makes mathematics accessible to all students. Ball and Bass (2000), as well as other mathematics educators, have recognized that mathematics teachers not only need to know mathematics content and mathematics pedagogy (i.e., teaching strategies) but they also need to know how these ideas are integrated. This mathematical knowledge for teaching is the knowledge that teachers of mathematics need and it differs from the knowledge that research or applied mathematicians must know. This text is designed to provide teachers with insights into this mathematical knowledge for teaching. Teaching and Learning High School Mathematics is likely different from many other texts that you have used. It integrates both content and pedagogy to help you develop and build your own understanding of teaching. The text is designed to help you develop “deep conceptual understanding of fundamental mathematics” (Ma 1999) so that you are able to approach mathematics from multiple perspectives with many tools. Such flexibility in teaching is essential if teachers are to help all students become mathematically proficient. Throughout this book, you are encouraged to work in cooperative teams. This strategy is designed to help you develop a mathematics learning community and build a professional network that will be a valuable resource during your professional career. Hopefully, you will experience the benefits of engaging in rich mathematical discussions with peers and consider how to encourage such learning environments in your own classrooms. Lesson planning is another element pervasive throughout this text. To help teachers plan for effective student-centered lessons, the Question Response Support (QRS) Guide is introduced in Lesson 1.1 and used throughout the remainder of the lessons. The QRS Guide is a tool on which teachers may record tasks or questions (Q) for students, expected and observed student responses (R), and teacher support (S) in the form of additional “just enough” questions to support students in their progress on the task. In each unit, teachers expand their repertoire of teaching and learning elements and strategies and incorporate these elements as they plan additional lesson segments. In Unit 4 lesson planning is formally introduced as teachers put together elements from previous units into complete, cohesive lesson plans.

Download or read book Teaching Middle School Mathematics written by Douglas K. Brumbaugh and published by Routledge. This book was released on 2013-05-13 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Middle school teaching and learning has a distinct pedagogy and curriculum that is grounded in the concept of developmentally appropriate education. This text is designed to meet the very specific professional development needs of future teachers of mathematics in middle school environments. Closely aligned with the NCTM Principles and Standards for School Mathematics, the reader-friendly, interactive format encourages readers to begin developing their own teaching style and making informed decisions about how to approach their future teaching career. A variety of examples establish a broad base of ideas intended to stimulate the formative development of concepts and models that can be employed in the classroom. Readers are encouraged and motivated to become teaching professionals who are lifelong learners. The text offers a wealth of technology-related information and activities; reflective, thought-provoking questions; mathematical challenges; student life-based applications; TAG (tricks-activities-games) sections; and group discussion prompts to stimulate each future teacher's thinking. "Your Turn" sections ask readers to work with middle school students directly in field experience settings. This core text for middle school mathematics methods courses is also appropriate for elementary and secondary mathematics methods courses that address teaching in the middle school grades and as an excellent in-service resource for aspiring or practicing teachers of middle school mathematics as they update their knowledge base. Topics covered in Teaching Middle School Mathematics: *NCTM Principles for School Mathematics; *Representation; *Connections; *Communication; *Reasoning and Proof; *Problem Solving; *Number and Operations; *Measurement; *Data Analysis and Probability; *Algebra in the Middle School Classroom; and *Geometry in the Middle School Classroom.

Download or read book Mathematics Matters in Education written by Yeping Li and published by Springer. This book was released on 2017-10-03 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.

Download or read book Improving Reading Comprehension of Middle and High School Students written by Kristi L. Santi and published by Springer. This book was released on 2015-03-04 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on our understanding of the reading comprehension of adolescents in a high stakes academic environment. Leading researchers share their most current research on each issue, covering theory and empirical research from a range of specializations, including various content areas, English language learners, students with disabilities, and reading assessment. Topics discussed include: cognitive models of reading comprehension and how they relate to typical or atypical development of reading comprehension, reading in history classes, comprehension of densely worded and symbolic mathematical texts, understanding causality in science texts, the more rigorous comprehension standards in English language arts classes, balancing the practical and measurement constraints of the assessment of reading comprehension, understanding the needs and challenges of English language learners and students in special education with respect to the various content areas discussed in this book. This book is of interest to researchers in literacy and educational psychology as well as curriculum developers.

Download or read book Mathematics Education in the Middle Grades written by National Research Council and published by National Academies Press. This book was released on 2000-02-11 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: In September 1998, the Math Science Education Board National held a Convocation on Middle Grades Mathematics that was co-sponsored by the National Council of Teachers of Mathematics, the National Middle School Association, and the American Educational Research Association. The Convocation was structured to present the teaching of middle school mathematics from two points of view: teaching mathematics with a focus on the subject matter content or teaching mathematics with a focus on the whole child and whole curriculum. This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.

Download or read book Teaching Secondary and Middle School Mathematics written by Daniel J. Brahier and published by Allyn & Bacon. This book was released on 2005 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Secondary and Middle School Mathematics combines up-to-date technology and research with a vibrant writing style to help teachers grasp curriculum, teaching, and assessment issues as they relate to secondary and middle school mathematics. Designed for pre-service or in-service teachers, the second edition presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. This extensively revised, practical resource offers a balance of theory and practice, including a wealth of examples and descriptions of classroom situations to assist students in visualizing mathematics instruction in the classroom. Each chapter contains specific outcomes for the reader, a glossary of relevant terms, several discussion questions and an extensive bibliography that contains references and suggested readings. Appendices include a descriptive list of recommended Internet Web sites on mathematics education and two case studies for further discussion. New To This Edition! A new chapter (Chapter 7) examines four major content areas of the secondary and middle school curriculum--algebra, geometry, data analysis and probability, and discrete mathematics--and the teaching methodology and NCTM Standards specific to each area. A new chapter (Chapter 10) devoted to the topic of equity discusses special needs students, gender equity, and ethnic/cultural differences. "How Would You React?" scenarios have been added in each chapter which allow students (and professors) to explore various teaching and learning issues and ideas for making decisions in a debate setting. "Spotlight on Technology" and examples highlighting major chapter concepts involving the use of technology have been interspersed throughout and encourage students to think about the appropriate use of technology in teaching mathematics. Daniel Brahier is Associate Professor of Mathematics Education at Bowling Green State University in Ohio and a current eighth grade teacher. He is also the author of Assessment in Middle and High School Mathematics: A Teacher's Guide (Eye On Education, 2001). With experience as a teacher, administrator, guidance counselor, and curriculum coordinator, his teaching and writing draws from every angle.

Download or read book Practitioner s Guide to Technology Pedagogy and Content Knowledge Tpack Rich Media Cases of Teacher Knowledge written by Mark Hofer and published by . This book was released on 2015-09-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Decade of Middle School Mathematics Curriculum Implementation written by Margaret R. Meyer and published by IAP. This book was released on 2008-12-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Associate Editors Fran Arbaugh, University of Missouri–Columbia, David C. Webb, University of Colorado at Boulder and Murrel Brewer Hoover, WVSTEM Center @ Marshall University The purpose of this book is to document the work of the Show-Me Project (1997–2007) and to highlight lessons learned about curriculum implementation. Although the Show-Me Project was charged with promoting the dissemination and implementation of four distinct comprehensive curriculum programs (Connected Mathematics, Mathematics in Context, MathScape, and MathThematics), most of the lessons learned from this work are not curriculum specific. Rather, they cut across the four programs and share commonalities with standards-based curriculum reform at any level. We believe that documenting these lessons learned will be one of the legacies of the Show-Me Project. We anticipate that the comprehensive nature of this work will attract readers from multiple audiences that include state and district mathematics supervisors, middle grades mathematics teachers and administrators involved in curriculum reform, as well as mathematics teacher educators. Those about to embark on the review of curriculum materials will appreciate reading about the processes employed by other districts. Readers with interests in a particular curriculum program will be able to trace the curriculum-specific chapters to gain insights into how the design of the curricula relate to professional development, adoption and implementation issues, and teachers’ personal experience using the curriculum materials. Individuals who provide professional development at the middle grades level will find chapters that they can use for both general and focused discussions. Teachers at all stages of implementation will recognize their own experiences in reading and reflecting on the stories of teacher change. Mathematics educators will find ideas on how these curricula can be used in the preparation of preservice middle grades teachers.

Download or read book How Chinese Acquire and Improve Mathematics Knowledge for Teaching written by Yeping Li and published by BRILL. This book was released on 2018-05-16 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: How Chinese Acquire and Improve Mathematics Knowledge for Teaching takes a unique approach to present new research that views knowledge acquisition and improvement as part of teachers’ life-long professional learning process in China.