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methods of teaching mathematics in secondary schools: Teaching Secondary Mathematics Alfred S. Posamentier, Beverly S. Smith, 2014-02-17 Note: This is the loose-leaf version of Teaching Secondary Mathematics and does not include access to the Pearson eText. To order the Pearson eText packaged with the loose-leaf version, use ISBN 0133783677. Teaching Secondary Mathematics, 9/e combines methods of teaching mathematics, including all aspects and responsibilities of the job, with a collection of enrichment units appropriate for the entire secondary school curriculum spectrum to give teachers alternatives for making professional judgments about their teaching performance–and ensuring effective learning. The book is divided into two parts designed to ensure effective teaching and learning: Part I includes a focus on the job of teaching mathematics and Part II includes enrichment activities appropriate for the entire secondary school curriculum. Both the Common Core State Standards and The National Council of teachers of Mathematics Principles and Standards for School Mathematics are referred to throughout the book. The new Ninth Edition features an alignment with the Common Core State Standards (CCSS), with special focus on the mathematical practices, an updated technology chapter that shows how current tools and software can be used for teaching mathematics, and an updated chapter on assessment showing show to provide targeted feedback to advance the learning of every student. |
methods of teaching mathematics in secondary schools: Teaching Mathematics in Secondary and Middle School James S. Cangelosi, 1996 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. |
methods of teaching mathematics in secondary schools: Building Support for Scholarly Practices in Mathematics Methods Signe E. Kastberg, Andrew M. Tyminski, Alyson E. Lischka, Wendy B. Sanchez, 2017-09-01 Building Support for Scholarly Practices in Mathematics Methods is the product of collaborations among over 40 mathematics teacher educators (MTEs) who teach mathematics methods courses for prospective PreK?12 teachers in many different institutional contexts and structures. Each chapter unpacks ways in which MTEs use theoretical perspectives to inform their construction of goals, activities designed to address those goals, facilitation of activities, and ways in which MTEs make sense of experiences prospective teachers have as a result. The book is organized in seven sections that highlight how the theoretical perspective of the instructor impacts scholarly inquiry and practice. The final section provides insight as we look backward to reflect, and forward with excitement, moving with the strength of the variation we found in our stories and the feeling of solidarity that results in our understandings of purposes for and insight into teaching mathematics methods. This book can serve as a resource for MTEs as they discuss and construct scholarly practices and as they undertake scholarly inquiry as a means to systematically examine their practice. |
methods of teaching mathematics in secondary schools: Teaching Mathematics at Secondary Level Tony Gardiner, 2016-02-08 Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important. |
methods of teaching mathematics in secondary schools: Teaching Mathematics in Grades 6 - 12 Randall E. Groth, 2012-08-10 Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies. |
methods of teaching mathematics in secondary schools: Laboratory Methods of Teaching Mathematics in Secondary Schools Adelia Roberts Hornbrook, 1895 |
methods of teaching mathematics in secondary schools: Teaching Mathematics Brent Davis, 2013-02-01 This book presents an approach to the teaching of mathematics that departs radically from conventional prescription-oriented and management-based methods. It brings together recent developments in such diverse fields as continental and pragmatist philosophy, enactivist thought, critical discourses, cognitive theory, evolution, ecology, and mathematics, and challenges the assumptions that permeate much of mathematics teaching. The discussion focuses on the language used to frame the role of the teacher and is developed around the commonsense distinctions drawn between thought and action, subject and object, individual and collective, fact and fiction, teacher and student, and classroom tasks and real life. The discussion also addresses the question of how mathematics teaching can be reformed to better suit current academic and social climates. Making use of the theoretical framework of enactivism, the book explores the subject through an account of a middle school teacher's appreciation and understanding of her role. Teaching mathematics, as both the report of this teacher's experience and the discussion make clear, demands an embracing of ambiguity, uncertainty, complexity, and moral responsibility. Courses for Adoption Education: Mathematics for Elementary Teachers, Methods for Teaching Elementary Schools, Methods for Teaching Secondary Schools, Curriculum Studies, Critical Pedagogy Special Features *Elucidates the importance and relationship between theory and practice. Employs reflective teaching techniques to focus students on their own learning, knowledge, and understanding of mathematics.Details a collaborative venture that traces the development of new thinking and insights about math teaching and learning. *A fine blending of theory with practice. |
methods of teaching mathematics in secondary schools: Principles to Actions National Council of Teachers of Mathematics, 2014-02 This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning. |
methods of teaching mathematics in secondary schools: Teaching Mathematical Reasoning in Secondary School Classrooms Karin Brodie, 2009-10-08 For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers. |
methods of teaching mathematics in secondary schools: Building Thinking Classrooms in Mathematics, Grades K-12 Peter Liljedahl, 2020-09-28 A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling non-thinking student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before. |
methods of teaching mathematics in secondary schools: Teaching Mathematics in the Secondary Schools John Harrison Minnick, 1939 |
methods of teaching mathematics in secondary schools: Making Sense of Mathematics for Teaching High School Edward C. Nolan, Juli K. Dixon, Farhsid Safi, Erhan Selcuk Haciomeroglu, 2016-05-19 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 |
methods of teaching mathematics in secondary schools: Strengths-Based Teaching and Learning in Mathematics Beth McCord Kobett, Karen S. Karp, 2020-02-27 This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful. |
methods of teaching mathematics in secondary schools: High Quality Teaching and Learning Linda Darling-Hammond, ANN LIEBERMAN, 2013-06-19 This book brings together and compares the teacher education policies and practices of eight high-achieving countries to consider what creates high-quality teachers in today's world. |
methods of teaching mathematics in secondary schools: Styles and Strategies for Teaching High School Mathematics Edward J. Thomas, John R. Brunsting, Pam L. Warrick, 2010-08-10 One key to raising achievement in mathematics is to recognize that all students have preferred styles of thinking and learning. By rotating teaching strategies, you can reach learners through their preferred styles, as well as challenge students to think in other styles. Styles and Strategies for Teaching High School Mathematics provides a set of powerful, research-based strategies to help high school teachers differentiate mathematics instruction and assessment according to their students' learning styles. Presenting four distinct mathematical learning styles--Mastery, Understanding, Self-Expressive, and Interpersonal--this book offers classroom-tested instructional strategies that can be mixed and matched to reach all learners. Compatible with any curriculum or textbook, the book: - Explains how the strategies address NCTM process standards and students' learning styles - Includes step-by-step directions, examples, and planning considerations for each strategy - Provides reproducible forms for implementing the strategies - Offers variations and ways to adapt each strategy to meet a variety of instructional demands With assessment components woven throughout, this invaluable guide helps high school mathematics teachers effectively reach and teach today's adolescents. |
methods of teaching mathematics in secondary schools: Handbook of Research on Teaching Drew Gitomer, Courtney Bell, 2016-05-19 The Fifth Edition of the Handbook of Research on Teachingis an essential resource for students and scholars dedicated to the study of teaching and learning. This volume offers a vast array of topics ranging from the history of teaching to technological and literacy issues. In each authoritative chapter, the authors summarize the state of the field while providing conceptual overviews of critical topics related to research on teaching. Each of the volume's 23 chapters is a canonical piece that will serve as a reference tool for the field. The Handbook provides readers with an unaparalleled view of the current state of research on teaching across its multiple facets and related fields. |
methods of teaching mathematics in secondary schools: Concept-Based Mathematics Jennifer T.H. Wathall, 2016-01-14 Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind! — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students. — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant |
methods of teaching mathematics in secondary schools: Making Sense of Mathematics for Teaching, Grades 3-5 Juli K. Dixon, Edward C. Nolan, 2016-04-11 Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. 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. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and 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. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals |
methods of teaching mathematics in secondary schools: Teaching Mathematics in Secondary Schools Linda Haggarty, 2013-09-13 A companion to Aspects of Teaching Secondary Mathematics, this book introduces and explores the contemporary issues and key ideas entailed in the teaching and learning of this subject. This book is concerned with exploring the bigger picture of mathematics education, and is aimed particularly at those learning to teach mathematics; teachers in the classroom who want to continue thinking and developing as mathematics teachers; and those concerned with education who would like to be better informed about mathematics education. Divided into seven sections to help structure reading, this book offers a completely up-to-date, comprehensive overview, written by the most-known, well-respected experts in the field. |
methods of teaching mathematics in secondary schools: Answers to Your Biggest Questions About Teaching Elementary Math John J. SanGiovanni, Susie Katt, Latrenda D. Knighten, Georgina Rivera, 2021-08-31 Your guide to grow and learn as a math teacher! Let’s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally “delivers knowledge” to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom: 1. How do I build a positive math community? 2. How do I structure, organize, and manage my math class? 3. How do I engage my students in math? 4. How do I help my students talk about math? 5. How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey? |
methods of teaching mathematics in secondary schools: Teaching Mathematics Through Problem-Solving Akihiko Takahashi, 2021-03-31 This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators. |
methods of teaching mathematics in secondary schools: How I Wish I'd Taught Maths Craig Barton, 2018 Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom. |
methods of teaching mathematics in secondary schools: Succeeding at Teaching Secondary Mathematics Cheryl D. Roddick, Julie Sliva Spitzer, 2010-03-22 Here is a resource that all math teachers can use. This book maps out a road to success by incorporating best practices, innovative ideas, and proven strategies that will help any teacher reach today′s students. It is filled with illustrations and explanations on how to turn your classroom into an active learning environment that appeals to the students of the 21st century. This book is an invaluable resource in transforming my classroom—now my students want to come to math class, and they are learning! —Amanda McKee, Mathematics Teacher Florence County School District #5, Johnsonville, SC All the support and guidance new mathematics teachers need—in one invaluable resource! In today′s world of increased accountability, teaching mathematics offers more challenges than ever before. This resource helps beginning teachers get off to a great start by providing information on everything from assessment to standards-based teaching to student engagement strategies. The authors focus on NCTM content and process standards and offer guidelines for instructing and assessing English language learners, students with special needs, and gifted students. Filled with practical strategies as well as helpful classroom vignettes that encourage thought-provoking discussions on teaching middle and high school mathematics, this guide shows teachers how to: Focus on the big ideas in teaching mathematics Design a curriculum that is meaningful Differentiate instruction to include all learners Engage students by meeting their affective, behavioral, and cognitive needs Use a variety of methods to assess students′ understanding Covering the key elements to successful teaching, this essential mathematics resource helps beginning educators lead their class with confidence! |
methods of teaching mathematics in secondary schools: Teaching Mathematics Michelle Selinger, 2013-10-31 In this reader, maths teachers in the early years of their careers will find a concise yet comprehensive guide to developments in mathematics teaching in secondary schools and the controversies which currently surround it. After a brief summary of the historical context, a series of short articles provides a range of perspectives on various issues of current debate which will help new teachers in the development of their own teaching styles. These include the impact of computers and calculators in maths teaching, the various arguments about the use of published schemes and for more investigational approaches to the curriculum, and the way in which social and cultural factors can be approached through the teaching of various topics in mathematics. The final section looks at how teachers might continue their professional development through action research in their own classrooms. |
methods of teaching mathematics in secondary schools: New Mathematics Education Research and Practice Jürgen Maasz, Wolfgang Schlöglmann, 2006 Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics. Although our knowledge of the process is more extensive and deeper despite the fragmented nature of research in this area, there is still a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview by addressing some carefully chosen questions on what is going on and what are the main results and questions what are important books or papers if further information is needed. |
methods of teaching mathematics in secondary schools: Culturally Responsive Teaching Geneva Gay, 2010 The achievement of students of color continues to be disproportionately low at all levels of education. More than ever, Geneva Gay's foundational book on culturally responsive teaching is essential reading in addressing the needs of today's diverse student population. Combining insights from multicultural education theory and research with real-life classroom stories, Gay demonstrates that all students will perform better on multiple measures of achievement when teaching is filtered through their own cultural experiences. This bestselling text has been extensively revised to include expanded coverage of student ethnic groups: African and Latino Americans as well as Asian and Native Americans as well as new material on culturally diverse communication, addressing common myths about language diversity and the effects of English Plus instruction. |
methods of teaching mathematics in secondary schools: Teaching Mathematics Creatively Linda Pound, Trisha Lee, 2021-09-30 This revised and updated third edition offers a range of strategies, activities and ideas to bring mathematics to life in the primary classroom. Taking an innovative and playful approach to maths teaching, this book promotes creativity as a key element of practice and offers ideas to help your students develop knowledge, understanding and enjoyment of the subject. In the creative classroom, mathematics becomes a tool to build confidence, develop problem solving skills and motivate children. The fresh approaches explored in this book include a range of activities such as storytelling, music and construction, elevating maths learning beyond subject knowledge itself to enable students to see mathematics in a new way. Key chapters of this book explore: • Learning maths outdoors - make more noise, make more mess or work on a larger scale • Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them • Music and maths – the role of rhythm in learning, and music and pattern in maths Stimulating, accessible and underpinned by the latest research and theory, this is essential reading for trainee and practising teachers who wish to embed creative approaches to maths teaching in their classroom. |
methods of teaching mathematics in secondary schools: The Five Practices in Practice [Elementary] Margaret (Peg) Smith, Victoria Bill, Miriam Gamoran Sherin, 2019-08-14 Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks. |
methods of teaching mathematics in secondary schools: Mathematics Methods for Elementary and Middle School Teachers Mary M. Hatfield, Nancy Tanner Edwards, Gary G. Bitter, 1997 This new edition continues its activity-based approach to teaching with an emphasis on using manipulatives to build conceptual understanding.Combining practical teaching ideas, updated assessment techniques, and the NCTM standards, the book now offers a free CD-ROM packaged inside every book to enhance readers' learning. The CD-ROM is referred to throughout the book to incorporate actual classroom footage and a variety of activities. This book provides an activity based approach that offers many practical suggestions for incorporating manipulatives and group work in the classroom. |
methods of teaching mathematics in secondary schools: The Reorganization of Mathematics in Secondary Education National Committee on Mathematical Requirements, 1923 |
methods of teaching mathematics in secondary schools: Learning to Teach Mathematics in the Secondary School Sue Johnston-Wilder, Peter Johnston-Wilder, David Pimm, 2005-01-14 Learning to Teach Mathematics in the Secondary School covers a wide range of issues in the teaching of mathematics and gives supporting activities to students to enable them to translate theory into practice. Topics covered include: mathematics in the National Curriculum different teaching approaches using ICT mathematics education for pupils with special needs in mathematics assessment and public examinations teaching mathematics post-16 professional development. |
methods of teaching mathematics in secondary schools: 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. |
methods of teaching mathematics in secondary schools: Teaching Mathematics in Secondary and Middle School James S. Cangelosi, 2003 For courses in secondary or middle school math. This text focuses on all the complex aspects of teaching mathematics in today's classroom and the most current NCTM standards. It demonstrates how to creatively incorporate the standards into teaching along with inquiry-based instructional strategies. Using one expansive case study that follows a mathematics teacher through his first year in the profession, the text illustrates how to lead pupils toward meaningful mathematics and strategies for developing mathematics skills. Interactive in its approach, the text includes an abundance of illustrative examples, mini case studies, cooperative learning activities, field-based activities, and transitional activities. |
methods of teaching mathematics in secondary schools: 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. |
methods of teaching mathematics in secondary schools: Basic Principles of Teaching Joseph Y. Bello, 1981 |
methods of teaching mathematics in secondary schools: EFFECTIVE TEACHING AND LEARNING Dr.P.C. NAGA SUBRAMANI, |
methods of teaching mathematics in secondary schools: Mathematics Explained for Primary Teachers Derek Haylock, Ralph Manning, 2014-06-19 Get access to an interactive eBook* when you buy the paperback! (Print paperback version only, ISBN 9781446285879) A Unique Blend of Digital and Print Learning Resources! 5 Star student reviews: “A must have for teachers-to-be, especially those who are a bit shaky on their maths knowledge!” “Not many maths books keep me fixated but this is one that is definitely worth the money.” “It is a book I will be using even when in the classroom.” Mathematics Explained for Primary Teachers develops your understanding of mathematical concepts and processes, and how children learn them, so you can confidently teach mathematics to primary children. Tried and tested, the fifth edition of Derek Haylock’s much loved textbook matches the 2014 curriculum requirements for England. Every chapter integrates children’s learning, classroom practice, and teacher’s own requirements for subject knowledge, making this the ideal text to guide you through your studies and beyond. More than just a book! The new edition is supported by FREE access to an interactive eBook and a companion website allowing you to use a wealth of teaching and learning resources. You can use the eBook to study where and when you want, and read, annotate and search the book on a tablet, laptop or PC. You can also visit study.sagepub.com/haylock5e to access: Videos by the author introduce core themes of each section and explain key mathematical processes. Links to the National Curriculum specify the statutory requirements for primary schools in England that relate to the mathematical content of each chapter. Learning and Teaching points highlight important issues you may face in the classroom and provide practical guidance for teaching. Self-assessment questions help check your understanding and provide immediate feedback to see how well you have done. Select SAGE journal articles to support literature reviews and wider reading. Lesson Plan Activities by Ralph Manning support content-focused chapters and contain creative mathematics tasks across the primary age range. A Student Workbook is also available to accompany this book, including over 700 practice problems to help you understand, apply and teach primary mathematics. Derek Haylock is an education consultant and writer with a background in mathematics teaching, teacher education and classroom-based research in mathematics education. Ralph Manning is an independent consultant in primary education. He has worked as a primary teacher and as a lecturer in primary teacher education for 18 years, following a career in IT. *interactivity only available through Vitalsource eBook |
methods of teaching mathematics in secondary schools: On Knowing Jerome Seymour Bruner, 1979 The left hand has traditionally represented the powers of intuition, feeling, and spontaneity. In this classic book, Jerome Bruner inquires into the part these qualities play in determining how we know what we do know; how we can help others to know--that is, to teach; and how our conception of reality affects our actions and is modified by them. The striking and subtle discussions contained in On Knowing take on the core issues concerning man's sense of self: creativity, the search for identity, the nature of aesthetic knowledge, myth, the learning process, and modern-day attitudes toward social controls, Freud, and fate. In this revised, expanded edition, Bruner comments on his personal efforts to maintain an intuitively and rationally balanced understanding of human nature, taking into account the odd historical circumstances which have hindered academic psychology's attempts in the past to know man. Writing with wit, imagination, and deep sympathy for the human condition, Jerome Bruner speaks here to the part of man's mind that can never be completely satisfied by the right-handed virtues of order, rationality, and discipline. |
methods of teaching mathematics in secondary schools: Whole Brain Teaching for Challenging Kids Chris Biffle, 2013 The revolutionary teaching system, based on cutting edge learning research, used by thousands of educators around the world--Cover. |
methods of teaching mathematics in secondary schools: 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. |
Innovative approaches in secondary mathematics education: …
Through a mixed-methods approach, combining quantitative surveys and qualitative interviews with secondary school mathematics teachers, the paper evaluates traditional and innovative teaching methods.
Modern Educational Methods and Strategies in Teaching …
These scenarios form a basis for creating math models, methods, and methods, as well as a framework in which students can subsequently use their knowledge of mathematics, which …
Mathematics: made to measure - GOV.UK
Leadership and management of mathematics in secondary schools have strengthened, driven at least in part by the increased emphasis on mathematics in the data used to measure schools’...
Effective Methodology in Teaching Mathematics: The Way Forward
In this paper a variety of teaching methodologies in teaching mathematics will be explored and their various advantages and disadvantages outlined. The following prominent methods for …
Teaching Secondary Mathermatics - Module 1 - Department of …
The Teaching Secondary Mathematics Resource provides support and guidelines for effective practice for classroom teachers and school leaders of mathematics, especially from Years …
EDS 4633/6633: Methods of Teaching of Mathematics - College of …
Aims and purposes of teaching mathematics in secondary school, curriculum problems, organization and presentation of subject matter, methods of teaching and evaluation.
Mathematical Teaching Strategies: Pathways to Critical Thinking …
When teaching mathematics, critical thinking skills can be used, practiced and enhanced by effective cognitive methods. Critical thinking can enhance creative problem solving options by …
MODELS FOR TEACHING MATHEMATICS - NRICH
methods of teaching. How do you help students to develop their mathematics in meaningful ways? At what point is it appropriate to ignore other aspects in order to develop fluency within …
Observing effective mathematics teaching: a review of the …
focuses particularly on the teaching of mathematics in secondary schools. Over approximately one year, more than 750 mathematics teachers in eight countries (including England) will take …
Mathematics teaching in secondary schools in England - JSTOR
Mathematics teaching in secondary schools in England a. p. ROLLETT, Her Majesty's Inspector of Schools, London, England. A description of the mathematics program for secondary schools …
The best pedagogical practices for teaching mathematics revisited ...
Today math teachers can best reach their students and show them how math surrounds us by using manipulatives, children’s literature, and GeoGebra while teaching mathematics. These …
Mathematics Teaching Secondary - Cambridge University Press
Teaching Secondary Mathematics Technology plays a crucial role in contemporary mathematics education. Teaching Secondary Mathematics covers major contemporary issues in …
Strategies to Improve All Students’ Mathematics Learning and …
Mathematics (DEBT-M) program, as well as my many years as a mathematics teacher and supervisor, I have found high-quality diversity training to be essential in helping teachers close …
Relationship Between Teaching Method And Students’ …
Abstract: The teaching method used by teachers largely determines student’ performance in mathematics. Secondary school students have in the past years continued to performdismally …
Preferences of Teaching Methods and Techniques in Mathematics …
This descriptive study aimed to identify various teaching techniques used in mathematics classes, and to understand why teachers prefer them. Descriptive models describe past or present …
Mathematics Teaching and Learning Processes in Secondary …
Therefore, this paper intended to x-ray mathematics teaching and learning, challenges encountered during teaching and learning and the ways forward in our secondary schools in …
Highlighting the Relevance of Mathematics to Secondary School
To address this issue, this paper outlines a novel approach to support teachers in their attempts to engage secondary school students in STEM subjects by informing them about the importance …
Active Learning in Secondary School Mathematics - JSTOR
During the 1980s, the teaching of mathematics in secondary schools experienced a number of major changes, which can be characterised as a move away from expository teaching towards …
Teaching Senior High School Mathematics: Problems and …
28 Nov 2018 · explored the teaching of specialized and core mathematics subjects (General Mathematics, Statistics & Probability, Precalculus, and Basic Calculus) in 2 Senior High …
Relationship Between Teaching Method And Students’ …
Abstract: The teaching method used by teachers largely determines student’ performance in mathematics. Secondary school students have in the past years continued to performdismally …
Innovative approaches in secondary mathematics education: …
Through a mixed-methods approach, combining quantitative surveys and qualitative interviews with secondary school mathematics teachers, the paper evaluates traditional and innovative …
Modern Educational Methods and Strategies in Teaching Mathematics
These scenarios form a basis for creating math models, methods, and methods, as well as a framework in which students can subsequently use their knowledge of mathematics, which …
Mathematics: made to measure - GOV.UK
Leadership and management of mathematics in secondary schools have strengthened, driven at least in part by the increased emphasis on mathematics in the data used to measure schools’...
Effective Methodology in Teaching Mathematics: The Way Forward
In this paper a variety of teaching methodologies in teaching mathematics will be explored and their various advantages and disadvantages outlined. The following prominent methods for …
Teaching Secondary Mathermatics - Module 1 - Department of …
The Teaching Secondary Mathematics Resource provides support and guidelines for effective practice for classroom teachers and school leaders of mathematics, especially from Years …
EDS 4633/6633: Methods of Teaching of Mathematics - College …
Aims and purposes of teaching mathematics in secondary school, curriculum problems, organization and presentation of subject matter, methods of teaching and evaluation.
Mathematical Teaching Strategies: Pathways to Critical Thinking …
When teaching mathematics, critical thinking skills can be used, practiced and enhanced by effective cognitive methods. Critical thinking can enhance creative problem solving options by …
MODELS FOR TEACHING MATHEMATICS - NRICH
methods of teaching. How do you help students to develop their mathematics in meaningful ways? At what point is it appropriate to ignore other aspects in order to develop fluency within …
Observing effective mathematics teaching: a review of the …
focuses particularly on the teaching of mathematics in secondary schools. Over approximately one year, more than 750 mathematics teachers in eight countries (including England) will take …
Mathematics teaching in secondary schools in England - JSTOR
Mathematics teaching in secondary schools in England a. p. ROLLETT, Her Majesty's Inspector of Schools, London, England. A description of the mathematics program for secondary schools …
The best pedagogical practices for teaching mathematics …
Today math teachers can best reach their students and show them how math surrounds us by using manipulatives, children’s literature, and GeoGebra while teaching mathematics. These …
Mathematics Teaching Secondary - Cambridge University Press …
Teaching Secondary Mathematics Technology plays a crucial role in contemporary mathematics education. Teaching Secondary Mathematics covers major contemporary issues in …
Strategies to Improve All Students’ Mathematics Learning and …
Mathematics (DEBT-M) program, as well as my many years as a mathematics teacher and supervisor, I have found high-quality diversity training to be essential in helping teachers close …
Relationship Between Teaching Method And Students’ …
Abstract: The teaching method used by teachers largely determines student’ performance in mathematics. Secondary school students have in the past years continued to performdismally …
Preferences of Teaching Methods and Techniques in Mathematics …
This descriptive study aimed to identify various teaching techniques used in mathematics classes, and to understand why teachers prefer them. Descriptive models describe past or present …
Mathematics Teaching and Learning Processes in Secondary Schools …
Therefore, this paper intended to x-ray mathematics teaching and learning, challenges encountered during teaching and learning and the ways forward in our secondary schools in …
Highlighting the Relevance of Mathematics to Secondary School …
To address this issue, this paper outlines a novel approach to support teachers in their attempts to engage secondary school students in STEM subjects by informing them about the importance …
Active Learning in Secondary School Mathematics - JSTOR
During the 1980s, the teaching of mathematics in secondary schools experienced a number of major changes, which can be characterised as a move away from expository teaching towards …
Teaching Senior High School Mathematics: Problems and …
28 Nov 2018 · explored the teaching of specialized and core mathematics subjects (General Mathematics, Statistics & Probability, Precalculus, and Basic Calculus) in 2 Senior High …
Relationship Between Teaching Method And Students’ …
Abstract: The teaching method used by teachers largely determines student’ performance in mathematics. Secondary school students have in the past years continued to performdismally …