• Fri frakt över 249 kr
  • •
  • Snabba leveranser
  • •
  • Billiga böcker
Kundservice

Du är på sajten för privatpersoner.

Företag, bibliotek eller offentlig verksamhet?

Du handlar på classic.bokus.com, där alla dina funktioner finns intakta.
Till classic.bokus.com
Bokus logotyp. Gå till startsidan.
  • Erbjudanden
  • Nyheter
  • Student
  • Topplistor
  • Barn & ungdom
  • Bokus Play
  • E-böcker
  • Pocketböcker
  • Spel & pussel

10% rabatt på allt med kod NYSTART10 →

Sidfot

Mina sidor

    Hjälp

    • Kundservice
    • Vanliga frågor och svar
    • Frakt och leverans
    • Retur vid ångerrätt
    • Reklamera vara
    • Betalning
    • Köpvillkor
    • Allmänna villkor
    • Information om webbplatsens tillgänglighet

    Om Bokus

    • Om oss
    • Pressrum
    • För studenter
    • För företag
    • För bibliotek och offentlig verksamhet
    • För leverantörer
    • Hållbarhet

    Populärt

    • Aktuella erbjudanden
    • Presentkort
    • Studentlitteratur
    • Nya böcker
    • Topplistor
    • Signerade böcker
    • Engelska böcker

    Inspiration

    • Boktips
    • BookTok
    • Populära bokserier
    • Barnbokskaraktärer
    • Populära författare
    Logotyp för Bokus
    Följ oss på Facebook (extern länk)Följ oss på Instagram (extern länk)Följ oss på YouTube (extern länk)Följ oss på TikTok (extern länk)
    bokus @ CookiesAnpassa cookiesIntegritetspolicyKöpvillkor
    Till Citymail hemsida (extern länk)Till Budbee hemsida (extern länk)Till Postnord hemsida (extern länk)Till Schenker hemsida (extern länk)Till Early Bird hemsida (extern länk)Till Walleys hemsida (extern länk)
    1. Psykologi och pedagogik
    2. Pedagogik

    College Geometry with GeoGebra

    AvBarbara E. Reynolds,William E. Fenton

    Häftad, Engelska, 2021

    2 240 kr

    Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

    Beskrivning

    From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using GeoGebra, a book that is ideal for geometry courses for both mathematics and math education majors. The book's discovery-based approach guides students to explore geometric worlds through computer-based activities, enabling students to make observations, develop conjectures, and write mathematical proofs. This unique textbook helps students understand the underlying concepts of geometry while learning to use GeoGebra software—constructing various geometric figures and investigating their properties, relationships, and interactions. The text allows students to gradually build upon their knowledge as they move from fundamental concepts of circle and triangle geometry to more advanced topics such as isometries and matrices, symmetry in the plane, and hyperbolic and projective geometry.Emphasizing active collaborative learning, the text contains numerous fully-integrated computer lab activities that visualize difficult geometric concepts and facilitate both small-group and whole-class discussions. Each chapter begins with engaging activities that draw students into the subject matter, followed by detailed discussions that solidify the student conjectures made in the activities and exercises that test comprehension of the material. Written to support students and instructors in active-learning classrooms that incorporate computer technology, College Geometry with GeoGebra is an ideal resource for geometry courses for both mathematics and math education majors.

    Produktinformation

    • Utgivningsdatum:2021-04-14
    • Mått:201 x 252 x 15 mm
    • Vikt:658 g
    • Format:Häftad
    • Språk:Engelska
    • Antal sidor:368
    • Förlag:John Wiley & Sons Inc
    • ISBN:9781119718116

    Utforska kategorier

    • Pedagogik inom Psykologi och pedagogik

    Innehållsförteckning

    • PrefaceEspecially for StudentsNotes for InstructorsOur Motivation, Philosophy, and PedagogyPrerequisites and Chapter DependenciesAcknowledgmentsONEUsing GeoGebra1.1 Activities: Getting Started with GeoGebra1.2 Discussion: Exploring and ConjecturingSome GeoGebra TipsConstructing −→ Exploring −→ Conjecturing:Inductive ReasoningLanguage of GeometryExplorations, Observations, QuestionsThe Family of QuadrilateralsAngles Inscribed in CirclesRules of Logic1.3 Exercises1.4 Chapter Overview  TWO  Constructing → Proving2.1 Activities2.2 Discussion: Euclid’s Postulates and ConstructionsEuclid’s PostulatesCongruence and SimilarityConstructionsGeometric Language RevisitedConditional Statements: ImplicationUsing Robust Constructions to Develop a ProofAngles and Measuring AnglesConstructing Perpendicular and Parallel LinesProperties of TrianglesEuclid’s Parallel PostulateEuclid’s Constructions in the ElementsIdeas About Betweenness2.3 Exercises2.4 Chapter OverviewTHREE Mathematical Arguments and Triangle Geometry3.1 Activities3.2 DiscussionDeductive ReasoningUniversal and Existential QuantifiersNegating a Quantified StatementDirect Proof and Disproof by CounterexampleStep-by-Step ProofsCongruence Criteria for TrianglesThe Converse and the ContrapositiveConcurrence Properties for TrianglesCeva’s Theorem and Its ConverseBrief Excursion into Circle GeometryThe Circumcircle of ΔABCThe Nine-Point Circle: A First PassMenelaus’ Theorem and Its Converse3.3 Exercises3.4 Chapter OverviewFOUR Circle Geometry and Proofs4.1 Activities4.2 DiscussionAxiom Systems: Ancient and Modern ApproachesLanguage of CirclesInscribed AnglesMathematical ArgumentsAdditional Methods of ProofCyclic QuadrilateralsIncircles and ExcirclesSome Interesting Families of CirclesThe Arbelos and the SalinonPower of a PointThe Radical AxisThe Nine-Point Circle: A Second Pass4.3 Exercises4.4 Chapter OverviewFIVE Analytic Geometry5.1 Activities5.2 DiscussionPointsLinesDistanceUsing Coordinates in ProofsAnother Look at the Radical AxisPolar CoordinatesThe Nine-Point Circle, Revisited5.3 Exercises5.4 Chapter OverviewSIX Taxicab Geometry6.1 Activities6.2 DiscussionAn Axiom System for Metric GeometryCirclesEllipsesMeasuring Distance from a Point to a LineParabolasHyperbolasAxiom Systems6.3 Exercises6.4 Chapter OverviewSEVEN  Finite Geometries7.1 Activities7.2 DiscussionAn Axiom System for an Affine PlaneAn Axiom System for a Projective PlaneDualityRelating Affine Planes to Projective PlanesCoordinates for Finite Geometries7.3 Exercises7.4 Chapter OverviewEIGHTTransformational Geometry8.1 Activities8.2 DiscussionTransformationsIsometriesOther TransformationsComposition of IsometriesInverse IsometriesUsing Isometries in ProofsIsometries in Space8.3 Exercises8.4 Chapter OverviewNINE  Isometries and Matrices9.1 Activities9.2 DiscussionUsing Vectors to Represent TranslationsUsing Matrices to Represent RotationsUsing Matrices to Represent ReflectionsComposition of IsometriesThe General Form of a Matrix RepresentationUsing Matrices in ProofsSimilarity Transformations9.3 Exercises9.4 Chapter OverviewTENSymmetry in the Plane10.1 Activities10.2 DiscussionSymmetriesGroups of SymmetriesClassifying Figures by Their SymmetriesFriezes and SymmetryWallpaper SymmetryTilings10.3 Exercises10.4 Chapter Overview    ELEVEN  Hyperbolic GeometryPart I: Exploring a New Universe11.1 Activities Part I11.2 Discussion Part IHyperbolic Lines and SegmentsThe Poincaré Disk Model of the Hyperbolic PlaneMeasuring Distance in the Poincaré Disk ModelHyperbolic CirclesHyperbolic TrianglesCircumcircles and Incircles of Hyperbolic TrianglesCongruence of Triangles in the Hyperbolic PlanePart II: The Parallel Postulate in Hyperbolic Geometry11.3 Activities Part II11.4 Discussion Part IIThe Hyperbolic and Elliptic Parallel PostulatesThe Angle of ParallelismThe Exterior Angle TheoremQuadrilaterals in the Hyperbolic PlaneAnother Look at Triangles in the Hyperbolic PlaneArea in the Hyperbolic Plane11.5 ExercisesThe Upper-Half-Plane Model11.6 Chapter OverviewTWELVE Projective Geometry12.1 Activities12.2 DiscussionAn Axiom SystemModels for the Projective PlaneDualityCoordinates for Projective GeometryProjective Transformations12.3 Exercises12.4 Chapter OverviewAPPENDIX A TrigonometryA.1 ActivitiesA.2 DiscussionRight Triangle TrigonometryUnit Circle TrigonometrySolving Trigonometric EquationsDouble Angle FormulasAngle Sum FormulasHalf-Angle FormulasThe Law of Sines and the Law of CosinesA.3 ExercisesAPPENDIX B Calculating with MatricesB.1 ActivitiesB.2 DiscussionLinear Combinations of VectorsDot Product of VectorsMultiplying a Matrix Times a VectorMultiplying Two MatricesThe Determinant of a MatrixB.3 ExercisesBIBLIOGRAPHYINDEX