Full Description
Teaching Secondary and Middle School Mathematics combines the latest developments in research, standards, and technology with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics today. In the fully revised fifth edition, scholar and mathematics educator Daniel Brahier invites teachers to investigate the nature of the mathematics curriculum and reflect on research-based "best practices" as they define and sharpen their own personal teaching styles.The fifth edition has been updated and expanded with a particular emphasis on the continued impact of the Common Core State Standards for Mathematics and NCTM's just-released Principles to Actions, as well as increased attention to teaching with technology, classroom management, and differentiated instruction.Features include:A full new Chapter 7 on selection and use of specific tools and technology combined with "Spotlight on Technology" features throughout clearly illustrate the practical aspects of how technology can be used for teaching or professional development.Foundational Chapters 1 and 2 on the practices and principles of mathematics education have been revised to build directly on Common Core State Standards for Mathematics and Principles to Actions, with additional references to both documents throughout all chapters.A new Chapter 4 focuses on the use of standards in writing objectives and organizing lesson plan resources while an updated Chapter 5 details each step of the lesson planning process.A fully revised Chapter 12 provides new information on teaching diverse populations and outlines specific details and suggestions for classroom management for mathematics teachers.Classroom Dialogues" features draws on the author's 35-year experience as an educator to present real-world teacher-student conversations about specific mathematical problems or ideas"How Would You React?" features prepares future teachers for real-life scenarios by engaging them in common classroom situations and offering tried-and-true solutions.With more than 60 practical, classroom-tested teaching ideas, sample lesson and activities, Teaching Secondary and Middle School Mathematics combines the best of theory and practice to provide clear descriptions of what it takes to be an effective teacher of mathematics.
Contents
ContentsPrefaceAcknowledgementsMeet the AuthorUniT 1 What Does It Mean to "Do," "Teach," and "Learn" Mathematics?Chapter 1 Mathematics as a ProcessNational and International Assessment Data How Would You React?The Need for Reform "Doing" Mathematics Problem Solving Mathematical Reasoning Spotlight on TechnologyCommunication Connections and StructureRepresentation Classroom DialoguesConclusionGlossaryDiscussion Questions and ActivitiesChapter 2 Principles of Mathematics EducationThe Six Principles Teaching and LearningHow Would You React?Access and Equity CurriculumTools and TechnologySpotlight on TechnologyAssessment ProfessionalismClassroom DialoguesConnecting the Principles ConclusionGlossaryDiscussion Questions and ActivitiesChapter 3 Learning Theories and Psychology in Mathematics Education Research in Mathematics Education Quantitative and Qualitative Methods How Would You React?Experimental and Descriptive Research Learning Theories in Mathematics Development of Learning Theory Bruner's Stages of Representation The van Hiele Model The Inquiry Approach and Constructivist Model Spotlight on TechnologyInductive versus Deductive Teaching Classroom DialoguesMotivationConclusionGlossary Discussion Questions and ActivitiesUnit 2 Mathematics Curriculum AND PLanningChapter 4 Standards, Objectives, and ResourcesDeveloping Curriculum Standards - Historical PerspectiveHow Would You React?The Common Core State Standards for MathematicsThe Core CurriculumTraditional versus Integrated Sequences Spotlight on TechnologyGoals and Objectives in the Mathematics ClassroomClassifying ObjectivesAffective ObjectivesCognitive ObjectivesSelection and Organization of ResourcesPrint ResourcesClassroom Dialogues The InternetOrganizing a Resource FileConclusionGlossaryDiscussion Questions and ActivitiesChapter 5 Planning for InstructionUnit PlanningHow Would You React?Lesson PlanningGeneral InformationStandards and ObjectivesMaterials and Resources Motivation Lesson Procedure Closure Extension Assessment Spotlight on TechnologySample Lesson Plans Classroom DialoguesLesson Imaging versus Lesson Planning Reflecting on a Lesson ConclusionGlossary Discussion Questions and ActivitiesUnit 3 Mathematics TEACHINGChapter 6 Teaching and Learning: Tasks, Learning Environment, and DiscourseTeaching Standards and Related Principles The NCTM Standards for Teaching and Learning Mathematics Knowledge Standards The Teaching and Learning PrincipleSelecting Activities and ProblemsHow Would You React?Learning Environment Spotlight on TechnologyClassroom DiscourseThe Role of Discourse Questioning Skills Reading and LiteracyClassroom DialoguesCooperative LearningReflective Practices ConclusionGlossary Discussion Questions and ActivitiesChapter 7 Teaching and Learning: Tools and TechnologyHow Would You React?Classroom ToolsHand-On Manipulative Materials Spotlight on TechnologyDiagrams, Graphs, and Other Discussion StartersClassroom TechnologyCalculatorsCAS TechnologyInteractive WhiteboardsMobile DevicesClassroom DialoguesDynamic Geometry SoftwareDocument CamerasBlended Classes and Flipped ClassroomsConclusionGlossary Discussion Questions and ActivitiesChapter 8 Teaching Number Sense and AlgebraReasoning and Sense MakingHow Would You React?The Teaching of Number Sense Sample Lesson Plan: Number Sense Number Sense-Activities Sampler Spotlight on TechnologyThe Teaching of Algebra Sample Lesson Plan: Algebra Classroom DialoguesAlgebra-Activities Sampler Conclusion Glossary Discussion Questions and ActivitiesChapter 9 Teaching Geometry, Statistics/Probability, and Discrete MathematicsThe Teaching of Geometry Sample Lesson Plan: Geometry How Would You React?Geometry-Activities Sampler Spotlight on TechnologyThe 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 DialoguesDiscrete Mathematics-Activities Sampler A Word on Pre-Calculus and Calculus ConclusionGlossaryDiscussion Questions and ActivitiesUnit 4 Assessment in MathematicSChapter 10 The Role of AssessmentWhat 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 TechnologyIndividual and Team Projects Observations and Checklists Interviews Self-Assessment Classroom DialoguesPortfolios ConclusionGlossaryDiscussion Questions and ActivitiesChapter 11 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 TechnologyUsing Homework Assignments in Assessment Classroom DialoguesEvaluation: Maintaining and Determining Final GradesConclusionGlossary Discussion Questions and ActivitiesUnit 5 Meeting Individual Student and Teacher NeedsChapter 12 Managing a Mathematics ClassroomDefining and Achieving Equity Students with Special Needs How Would You React?Gender Spotlight on TechnologyEthnic and Cultural IssuesEnglish Language LearnersClassroom DialoguesIdeas for Meeting Diverse Student Needs Differentiated InstructionGeneral Suggestions for Differentiating in the ClassroomClassroom Management TipsConclusionGlossaryDiscussion Questions and ActivitiesChapter 13 The Teacher of Mathematics in the School CommunityWorking with Parents How Would You React?The Supervision and Evaluation of Teachers Spotlight on TechnologyFunctioning in a Department Ongoing Professional Development Making the Case for Long-Term Development Classroom DialoguesOpportunities for Professional Development The Professional Development Plan ConclusionDiscussion Questions and ActivitiesBibliographic References and ResourcesIndex
