04711nam 22006735 450 991076752270332120240307124900.09783319297996331929799610.1007/978-3-319-29799-6(CKB)3710000000621638(EBL)4454898(DE-He213)978-3-319-29799-6(MiAaPQ)EBC4454898(EXLCZ)99371000000062163820160321d2016 u| 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierA 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children /by Jacqueline Sack, Irma Vazquez1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (48 p.)SpringerBriefs in Education,2211-193XDescription based upon print version of record.9783319297989 3319297988 Includes bibliographical references.1. Introduction/ Preface -- 1.1 Project's origins -- 1.2 Brief overview of the book’s organization -- 2. Theoretical Frameworks -- 2.1 Why are visualization skills important? -- 2.2 Research methodology -- 2.3 Spatial Operational Capacity framework -- 2.4 School and classroom context -- 2.5 Pre-program interview -- 3. Introductory Activities -- 3.1 Four block houses -- 3.2 The Soma puzzle figures -- 3.3 Coordinating 2-Soma assembly figures -- 4. 2D to 3D to abstract top-view plans – Geocadabra interface -- 4.1 Learning to use Geocadabra – the Geobuddy manual -- 4.2 Explaining Difficult Figures in the Geocadabra manual -- 4.3 Front side top views -- 5. 3D to 2D via top-view numeric plans -- 5.1 Self-created task card puzzles; solving others’ puzzle cards -- 5.2 Finding multiple solutions for each puzzle card -- 5.3 Invention of a coding system for assembly figures with holes or overhangs -- 5.4 Extended Construction Box – making sense of 3-space using shadows -- 5.5 Rectangular prisms and top-viewnumeric representations - making sense of the LWH volume formula -- 6. Connections to numeracy -- 6.1 Expanding and scaling the Soma cube -- 6.2 Permutations within cake patterns. .This monograph describes the development and use of a 3D visualization teaching-learning trajectory for elementary age learners. Using design research principles, the authors developed this trajectory using the NCTM recommendations and the Spatial Operational Capacity (SOC) theoretical framework to guide lesson development. The SOC framework utilizes actual 3D models, 2D and abstract representations of the actual models, and, a dynamic computer interface, the Geocadabra Construction Box, which integrates these representations dynamically in real time. The work begins with describing the theoretical SOC frameworks that guided the study, the inquiry-based learning focus, the research method used, and informal pre-program interviews with participant children. The next chapter describes introductory activities used to orient the children to the 3D objects that they used throughout the program. The book then focuses on the development of abstract top-view numeric plan representations leading to representations of rectangular prisms, followed by front-side-top view representations. The last chapter shows how numeracy was integrated into the program to support the demanding official mathematics curriculum.SpringerBriefs in Education,2211-193XMathematicsStudy and teachingTeachersTraining ofEarly childhood educationLearning, Psychology ofMathematics EducationTeaching and Teacher EducationEarly Childhood EducationInstructional PsychologyMathematicsStudy and teaching.TeachersTraining of.Early childhood education.Learning, Psychology of.Mathematics Education.Teaching and Teacher Education.Early Childhood Education.Instructional Psychology.370Sack Jacquelineauthttp://id.loc.gov/vocabulary/relators/aut1453085Vazquez Irmaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910767522703321A 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children3655577UNINA04448nam 22007095 450 991025411250332120200807132515.03-319-25465-010.1007/978-3-319-25465-4(CKB)3710000000580313(EBL)4386025(SSID)ssj0001606960(PQKBManifestationID)16317206(PQKBTitleCode)TC0001606960(PQKBWorkID)14896312(PQKB)11602822(DE-He213)978-3-319-25465-4(MiAaPQ)EBC4386025(PPN)191699705(EXLCZ)99371000000058031320160128d2016 u| 0engur|n|---|||||txtccrGeospatial Algebraic Computations Theory and Applications /by Joseph Awange, Béla Paláncz3rd ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (548 p.)Description based upon print version of record.3-319-25463-4 Includes bibliographical references and index.Part I Algebraic symbolic and numeric methods -- Basics of Ring Theory -- Basics of Polynominal Theory -- Groebner Basis -- Polynominal Resultants -- Linear and Nonlinear Homotpy -- Solutions of Overdetermined Systems -- Extended Newton-Raphson method -- Procrustes Solution -- EIV models and Pareto Optimality.-Symbolic Regression -- Robust Estimation -- Part II Applications to geodesy and geoinformatics -- LPS-GNSS Orientations and vertical Deflections -- Cartesian to Ellipsoidal Mapping -- Positioning by Ranging.-Positioning by resection Methods -- Positioning by intersection Methods -- GNSS Environmental Monitoring -- Algebraic Diagnosis of Outliers -- Datum Transformation Problems -- Appendix -- References -- Index.Improved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.g., point clouds. It is in realization that such huge amount of data requires efficient and robust mathematical solutions that this third edition of the book extends the second edition by introducing three new chapters: Robust parameter estimation, Multiobjective optimization and Symbolic regression.  Furthermore, the linear homotopy chapter is expanded to include nonlinear homotopy. These disciplines are discussed first in the theoretical part of the book before illustrating their geospatial applications in the applications chapters where numerous numerical examples are presented. The renewed electronic supplement contains these new theoretical and practical topics, with the corresponding Mathematica statements and functions supporting their computations introduced and applied. This third edition is renamed in light of these technological advancements.GeophysicsComputer scienceMathematicsCivil engineeringComputer science—MathematicsNumerical analysisGeophysics/Geodesyhttps://scigraph.springernature.com/ontologies/product-market-codes/G18009Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XCivil Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T23004Symbolic and Algebraic Manipulationhttps://scigraph.springernature.com/ontologies/product-market-codes/I17052Numeric Computinghttps://scigraph.springernature.com/ontologies/product-market-codes/I1701XGeophysics.Computer scienceMathematics.Civil engineering.Computer science—Mathematics.Numerical analysis.Geophysics/Geodesy.Computational Mathematics and Numerical Analysis.Civil Engineering.Symbolic and Algebraic Manipulation.Numeric Computing.550Awange Josephauthttp://id.loc.gov/vocabulary/relators/aut821723Paláncz Bélaauthttp://id.loc.gov/vocabulary/relators/autBOOK9910254112503321Geospatial Algebraic Computations2511327UNINA