Interactions on digital tablets in the context of 3D geometry learning / / David Bertolo |
Autore | Bertolo David |
Pubbl/distr/stampa | Hoboken, New Jersey : , : ISTE Ltd/John Wiley and Sons Inc, , 2016 |
Descrizione fisica | 1 online resource (229 p.) |
Collana |
Information systems, web and pervasive computing series. Human-machine interaction set
THEi Wiley ebooks |
Soggetto topico |
Geometry - Computer-assisted instruction
Geometry - Study and teaching Tablet computers Three-dimensional imaging |
ISBN |
1-119-32996-5
1-119-32997-3 1-119-33028-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Introduction; I.1. Observations and motivations; I.2. Contributions; I.3. Book outline; 1: Construction of Spatial Representation and Perspective in Students; 1.1. Spatial representation in children according to Piaget; 1.1.1. From perception to representation; 1.1.1.1. Stage I: "synthetic incapacity"; 1.1.1.2. Stage II: "intellectual realism"; 1.1.1.3. Stage III: "visual realism"; 1.1.2. Projective space; 1.1.2.1. Perspective; 1.1.2.2. Developing relationships between perspectives; 1.1.2.3. Nets (folds and surface development)
1.1.3. Euclidean space1.1.4. Summary; 1.2. The representation of geometric objects: the status of drawings; 1.2.1. Status of drawings in mathematics: drawings versus figures; 1.2.2. Use of geometrical representations; 1.2.2.1. The three geometrical paradigms of Houdemont and Kuzniak; 1.2.2.1.1. Natural geometry (GI); 1.2.2.1.2. Natural axiomatic geometry (GII); 1.2.2.1.3. Axiomatic geometry (GIII); 1.2.2.1.4. Explanation of the different paradigms; 1.2.2.2. Duval's cognitive point of view; 1.2.2.2.1. Iconic visualization; 1.2.2.2.2. Non-iconic visualization; 1.2.2.2.3. Dimensional hiatus 1.2.3. The three main functions of drawings in geometry1.3. From the physical shape to its planar representation; 1.3.1. The institutional perspective; 1.3.1.1. Primary; 1.3.1.2. Secondary; 1.3.1.3. Summary of secondary curriculums; 1.3.2. Teaching 3D geometry; 1.3.3. Different representations of 3D objects; 1.3.3.1. Models; 1.3.3.2. Planar representations of 3D objects; 1.3.3.2.1. Central perspective; 1.3.3.2.2. Cavalier projections; 1.3.4. The conflict between the SEEN and the KNOWN in children; 1.4. Benefits of new technologies and dynamic 3D geometry 1.4.1. Advantages of 3D geometry programs1.4.2. Limits of 3D geometry programs and consequences; 1.4.2.1. Construction of a cube with Geospace; 1.4.2.2. Construction of a cube with Cabri-3D; 1.4.3. Partial conclusions and initial hypotheses; 2: Mobile Devices and 3D Interactions; 2.1. Why mobile devices?; 2.1.1. A long-standing tradition in mathematics; 2.1.2. Interest from the educational community; 2.1.3. A field reality; 2.2. Mobile devices; 2.2.1. Different types of mobile devices; 2.2.1.1. Mobile phones/smartphones; 2.2.1.2. Portable video game consoles; 2.2.1.3. Ultra mobile 2.2.1.4. Tablets2.2.2. Entry systems of mobile terminals; 2.2.2.1. Keyboard / Buttons; 2.2.2.2. Joysticks; 2.2.2.3. Touchscreens; 2.2.2.3.1. A bit of history; 2.2.2.3.2. Capacitive; 2.2.2.3.3. Resistive; 2.2.2.3.4. Infrared; 2.2.2.3.5. Surface waves; 2.2.2.3.6. FTIR (frustrated total internal reflection); 2.2.2.4. Sensors; 2.2.2.5. Camera; 2.2.2.6. Microphone; 2.2.2.7. Our choice; 2.3. Interactions on mobile devices and physiology; 2.3.1. Specificities of mobile devices; 2.3.2. Limitations due to physiologic characteristics; 2.3.2.1. Imprecision of fingers 2.3.2.2. Characteristics of the hand |
Record Nr. | UNINA-9910137138103321 |
Bertolo David
![]() |
||
Hoboken, New Jersey : , : ISTE Ltd/John Wiley and Sons Inc, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Interactions on digital tablets in the context of 3D geometry learning / / David Bertolo |
Autore | Bertolo David |
Pubbl/distr/stampa | Hoboken, New Jersey : , : ISTE Ltd/John Wiley and Sons Inc, , 2016 |
Descrizione fisica | 1 online resource (229 p.) |
Collana |
Information systems, web and pervasive computing series. Human-machine interaction set
THEi Wiley ebooks |
Soggetto topico |
Geometry - Computer-assisted instruction
Geometry - Study and teaching Tablet computers Three-dimensional imaging |
ISBN |
1-119-32996-5
1-119-32997-3 1-119-33028-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Introduction; I.1. Observations and motivations; I.2. Contributions; I.3. Book outline; 1: Construction of Spatial Representation and Perspective in Students; 1.1. Spatial representation in children according to Piaget; 1.1.1. From perception to representation; 1.1.1.1. Stage I: "synthetic incapacity"; 1.1.1.2. Stage II: "intellectual realism"; 1.1.1.3. Stage III: "visual realism"; 1.1.2. Projective space; 1.1.2.1. Perspective; 1.1.2.2. Developing relationships between perspectives; 1.1.2.3. Nets (folds and surface development)
1.1.3. Euclidean space1.1.4. Summary; 1.2. The representation of geometric objects: the status of drawings; 1.2.1. Status of drawings in mathematics: drawings versus figures; 1.2.2. Use of geometrical representations; 1.2.2.1. The three geometrical paradigms of Houdemont and Kuzniak; 1.2.2.1.1. Natural geometry (GI); 1.2.2.1.2. Natural axiomatic geometry (GII); 1.2.2.1.3. Axiomatic geometry (GIII); 1.2.2.1.4. Explanation of the different paradigms; 1.2.2.2. Duval's cognitive point of view; 1.2.2.2.1. Iconic visualization; 1.2.2.2.2. Non-iconic visualization; 1.2.2.2.3. Dimensional hiatus 1.2.3. The three main functions of drawings in geometry1.3. From the physical shape to its planar representation; 1.3.1. The institutional perspective; 1.3.1.1. Primary; 1.3.1.2. Secondary; 1.3.1.3. Summary of secondary curriculums; 1.3.2. Teaching 3D geometry; 1.3.3. Different representations of 3D objects; 1.3.3.1. Models; 1.3.3.2. Planar representations of 3D objects; 1.3.3.2.1. Central perspective; 1.3.3.2.2. Cavalier projections; 1.3.4. The conflict between the SEEN and the KNOWN in children; 1.4. Benefits of new technologies and dynamic 3D geometry 1.4.1. Advantages of 3D geometry programs1.4.2. Limits of 3D geometry programs and consequences; 1.4.2.1. Construction of a cube with Geospace; 1.4.2.2. Construction of a cube with Cabri-3D; 1.4.3. Partial conclusions and initial hypotheses; 2: Mobile Devices and 3D Interactions; 2.1. Why mobile devices?; 2.1.1. A long-standing tradition in mathematics; 2.1.2. Interest from the educational community; 2.1.3. A field reality; 2.2. Mobile devices; 2.2.1. Different types of mobile devices; 2.2.1.1. Mobile phones/smartphones; 2.2.1.2. Portable video game consoles; 2.2.1.3. Ultra mobile 2.2.1.4. Tablets2.2.2. Entry systems of mobile terminals; 2.2.2.1. Keyboard / Buttons; 2.2.2.2. Joysticks; 2.2.2.3. Touchscreens; 2.2.2.3.1. A bit of history; 2.2.2.3.2. Capacitive; 2.2.2.3.3. Resistive; 2.2.2.3.4. Infrared; 2.2.2.3.5. Surface waves; 2.2.2.3.6. FTIR (frustrated total internal reflection); 2.2.2.4. Sensors; 2.2.2.5. Camera; 2.2.2.6. Microphone; 2.2.2.7. Our choice; 2.3. Interactions on mobile devices and physiology; 2.3.1. Specificities of mobile devices; 2.3.2. Limitations due to physiologic characteristics; 2.3.2.1. Imprecision of fingers 2.3.2.2. Characteristics of the hand |
Record Nr. | UNINA-9910808173803321 |
Bertolo David
![]() |
||
Hoboken, New Jersey : , : ISTE Ltd/John Wiley and Sons Inc, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Turtle geometry : the computer as a medium for exploring mathematics / / Harold Abelson, Andrea A. diSessa |
Autore | Abelson Harold |
Pubbl/distr/stampa | The MIT Press |
Disciplina | 516/.007/8 |
Altri autori (Persone) | DiSessaAndrea A |
Soggetto topico | Geometry - Computer-assisted instruction |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Altri titoli varianti | Turtle Geometry |
Record Nr. | UNINA-9910557451503321 |
Abelson Harold
![]() |
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The MIT Press | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Turtle geometry : the computer as a medium for exploring mathematics / / Harold Abelson, Andrea A. diSessa |
Autore | Abelson Harold |
Pubbl/distr/stampa | The MIT Press |
Disciplina | 516/.007/8 |
Altri autori (Persone) | DiSessaAndrea A |
Soggetto topico | Geometry - Computer-assisted instruction |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Altri titoli varianti | Turtle Geometry |
Record Nr. | UNINA-9910688337703321 |
Abelson Harold
![]() |
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The MIT Press | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Visualizing mathematics with 3D printing / / Henry Segerman |
Autore | Segerman Henry <1979-> |
Pubbl/distr/stampa | Baltimore : , : Johns Hopkins University Press, , 2016 |
Descrizione fisica | 1 online resource (201 p.) |
Disciplina | 516.028/6 |
Soggetto topico |
Geometry - Computer-assisted instruction
Mathematics - Computer-assisted instruction Geometry - Study and teaching Geometrical constructions Three-dimensional imaging Three-dimensional printing |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4214-2036-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Cover; Half Title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Symmetry; 2 Polyhedra; 3 Four-Dimensional Space; 4 Tilings and Curvature; 5 Knots; 6 Surfaces; 7 Menagerie; Appendix A: Commentary on Figures; Appendix B: How I Made These Models; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; W |
Record Nr. | UNINA-9910466035603321 |
Segerman Henry <1979->
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||
Baltimore : , : Johns Hopkins University Press, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Visualizing mathematics with 3D printing / / Henry Segerman |
Autore | Segerman Henry <1979-> |
Pubbl/distr/stampa | Baltimore : , : Johns Hopkins University Press, , 2016 |
Descrizione fisica | 1 online resource (201 p.) |
Disciplina | 516.028/6 |
Soggetto topico |
Geometry - Computer-assisted instruction
Mathematics - Computer-assisted instruction Geometry - Study and teaching Geometrical constructions Three-dimensional imaging Three-dimensional printing |
ISBN | 1-4214-2036-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Cover; Half Title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Symmetry; 2 Polyhedra; 3 Four-Dimensional Space; 4 Tilings and Curvature; 5 Knots; 6 Surfaces; 7 Menagerie; Appendix A: Commentary on Figures; Appendix B: How I Made These Models; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; W |
Record Nr. | UNINA-9910798408703321 |
Segerman Henry <1979->
![]() |
||
Baltimore : , : Johns Hopkins University Press, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Visualizing mathematics with 3D printing / / Henry Segerman |
Autore | Segerman Henry <1979-> |
Pubbl/distr/stampa | Baltimore : , : Johns Hopkins University Press, , 2016 |
Descrizione fisica | 1 online resource (201 p.) |
Disciplina | 516.028/6 |
Soggetto topico |
Geometry - Computer-assisted instruction
Mathematics - Computer-assisted instruction Geometry - Study and teaching Geometrical constructions Three-dimensional imaging Three-dimensional printing |
ISBN | 1-4214-2036-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Cover; Half Title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Symmetry; 2 Polyhedra; 3 Four-Dimensional Space; 4 Tilings and Curvature; 5 Knots; 6 Surfaces; 7 Menagerie; Appendix A: Commentary on Figures; Appendix B: How I Made These Models; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; W |
Record Nr. | UNINA-9910825024803321 |
Segerman Henry <1979->
![]() |
||
Baltimore : , : Johns Hopkins University Press, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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