Description
Taylor and Francis Teaching Secondary And Middle School Mathematics 6Th Edition 2020 Edition by Daniel J. Brahier
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 sixth edition has been updated and expanded with particular emphasis on the latest technology, resources, and standards. 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:The entire text has been reorganized so that assessment takes a more central role in planning and teaching. Unit 3 (of 5) now addresses the use of summative and formative assessments to inform classroom teaching practices.A new feature, "Links and Resources," has been added to each of the 13 chapters. While the book includes a substantial listing of citations and resources after the 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.A Quick Reference Guide has been added to the front of the book to assist the reader in identifying the most useful chapter features by topic. A significant revision to Chapter 13 now includes discussions of common teaching assessments used for field experiences and licensure, as well as a discussion of practical suggestions for success in methods and student teaching experiences.Chapter 9 on the practical use of classroom technology has been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld, personal devices.An updated Instructor's Manual features a test bank, sample classroom activities, Powerpoint slides, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9780367146511 Preface Acknowledgments About the Author Quick Reference Guide UNIT 1 What Does It Mean to "Do," "Teach," and "Learn" Mathematics? CHAPTER 1 Mathematics as a ProcessNational and International Assessment DataTrends in Mathematics and Science Study (TIMSS)Program for International Student Assessment (PISA)National Assessment of Educational Progress (NAEP) How Would You React? The Need for Reform21st Century Skills "Doing" Mathematics Problem Solving Mathematical Reasoning Spotlight on Technology Communication Connections and Structure Representation Classroom Dialogues Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources CHAPTER 2 Principles of Mathematics Education The Six Principles Teaching and Learning How Would You React? Access and Equity Curriculum Tools and Technology Spotlight on Technology Assessment Professionalism Classroom Dialogues Connecting the Principles Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources CHAPTER 3 Learning Theories and Psychology inMathematics Education Research in Mathematics Education Quantitative and Qualitative Methods How Would You React?Experimental and Descriptive Research Learning Theories in Mathematics Development of Learning TheoryBehaviorist TheoryZone of Proximal DevelopmentCommunities of PracticeMultiple IntelligencesMindsets Bruner's Stages of Representation The van Hiele Model The Inquiry Approach and Constructivist Model Spotlight on Technology Inductive versus Deductive Teaching Classroom Dialogues MotivationEgo Versus Mastery GoalsEmotions - Interest and CuriositySelf-Confidence (Self-Efficacy)Disposition and Math Anxiety Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources UNIT 2 Mathematics Curriculum and Planning CHAPTER 4 Standards, Objectives, and Resources Developing Curriculum Standards-Historical Perspective How Would You React? The Common Core State Standards for Mathematics The Core Curriculum Traditional versus Integrated SequencesTrackingReasons Why Schools Choose (or Reject) an Integrated Curriculum Spotlight on Technology Goals and Objectives in the Mathematics Classroom Classifying Objectives Affective Objectives Cognitive Objectives Knowledge and SkillConceptApplicationSelection and Organization of Resources Textbooks Print Resources Classroom Dialogues Organizing a Resource File Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources CHAPTER 5 Planning for Instruction Unit Planning How Would You React? Lesson Planning General Information Standards and Objectives Materials and Resources Motivation Lesson Procedure Closure Extension Assessment Spotlight on Technology Sample Lesson Plans Analysis of Sample Lesson Plan 1 Analysis of Sample Lesson Plan 2 Classroom Dialogues Lesson Imaging versus Lesson Planning Reflecting on a Lesson Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources UNIT 3 Assessment in Mathematics CHAPTER 6 Assessment: Purposes and Strategies What Is Assessment? Purposes for Assessment Test Construction Preparing Items Ensuring Validity and Reliability Scoring Student Work How Would You React? Including Review Items Limitations to Written Tests Alternate Strategies for Assessing Student Progress Journals Open-Ended Questions and Rubrics Spotlight on Technology Individual and Team Projects Observations and Checklists Interviews Self-Assessment Classroom Dialogues Portfolios Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources CHAPTER 7 Assessment: Standards, Homework, and Grading NCTM Recommendations on Assessment The Assessment Standards How Would You React? The Assessment Principle Equity and Assessment Homework Assignments Homework Amount and Frequency Checking Homework Assignments Spotlight on Technology Using Homework Assignments in AssessmentData-Driven Decision Making Classroom Dialogues Evaluation: Maintaining and Determining Final Grades Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources UNIT 4 Mathematics Teaching CHAPTER 8 Teaching and Learning: Tasks, LearningEnvironment, and Discourse Teaching Standards and Related Principles The NCTM Standards for Teaching and Learning Mathematics Knowledge Standards The Teaching and Learning Principle Selecting Activities and Problems How Would You React? Learning Environment Spotlight on Technology Classroom Discourse The Role of Discourse Questioning Skills Reading and Literacy Classroom Dialogues Cooperative LearningStructures of Cooperative Learning Reflective Practices Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources CHAPTER 9 Teaching and Learning: Tools and Technology How Would You React? Classroom Tools Hands-on Manipulative Materials Spotlight on Technology Diagrams, Graphs, and Other Discussion Starters Classroom Technology Calculators CAS Technology Interactive Whiteboards Mobile Devices Classroom Dialogues Dynamic Geometry Software Document Cameras Blended Classes and Flipped Classrooms Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources CHAPTER 10 Teaching Number Sense and Algebra Reasoning and Sense Making How Would You React? The Teaching of Number Sense Sample Lesson Plan: Number Sense Number Sense-Activities Sampler Spotlight on Technology The Teaching of Algebra Sample Lesson Plan: Algebra Classroom Dialogues Algebra-Activities Sampler Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources CHAPTER 11 Teaching Geometry, Statistics/Probability,and Discrete Mathematics The Teaching of Geometry Sample Lesson Plan: Geometry How Would You React? Geometry-Activities Sampler Spotlight on Technology The Teaching of Statistics and Probability Sample Lesson Plan: Statistics and Probability Statistics and Probability-Activities Sampler The Teaching of Discrete Mathematics Sample Lesson Plan: Discrete Mathematics Classroom Dialogues Discrete Mathematics-Activities Sampler A Word on Pre-Calculus and Calculus Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources UNIT 5 Meeting Individual Student and Teacher Needs CHAPTER 12 Managing a Mathematics Classroom Defining and Achieving Equity Students with Special Needs How Would You React? Gender Spotlight on Technology Ethnic and Cultural Issues English Language Learners Classroom Dialogues Ideas for Meeting Diverse Student Needs Differentiated Instruction General Suggestions for Differentiating in the Classroom Classroom Management Tips Conclusion Glossary Discussion Questions and ActivitiesLinks and Resources CHAPTER 13 The Teacher of Mathematics in the School Community Working with Parents Hints for Helping Your Child in MathematicsHow Would You React? The Supervision and Evaluation of Teachers Spotlight on Technology Functioning in a Department Ongoing Professional Development Making the Case for Long-Term Development Classroom Dialogues Opportunities for Professional Development The Professional Development Plan Conclusion Discussion Questions and ActivitiesLinks and Resources BibliographyIndex