ISBN:
9789400723214
,
1283944987
,
9781283944984
Sprache:
Englisch
Seiten:
Online-Ressource (X, 250 p, online resource)
Serie:
Mathematics Education in the Digital Era 1
Serie:
SpringerLink
Serie:
Bücher
Paralleltitel:
Druckausg. Martinovic, Dragana Visual Mathematics and Cyberlearning
Schlagwort(e):
Visualization
;
Computer software
;
Mathematics
;
Education
;
Education
;
Visualization
;
Computer software
;
Mathematics
;
Education Philosophy
Kurzfassung:
The first volume in this new Springer series explores innovative ways of learning and doing mathematics to make it more appealing to the Net Generation. This generation consists of visual learners who thrive when surrounded with new technologies and whose diverse needs can be met by a variety of cyber tools. In their search for novel ways of studying, such as collaboration with peers and multitasking by using multimedia, the Internet, and other Information and Communication Technologies, they learn mathematics by playing games online, watching and sharing presentations on YouTube, exploring and creating Java applets of mathematics simulations and exchanging thoughts over the instant chat tools. This volume presents mathematics teaching and learning in a way that resonates with these new learners: as a contemporary subject that is engaging, exciting and enlightening. It offers educators insight into how they can make meaningful use of the dynamic, interactive, collaborative, and visual nature of new learning environments while having a deeper understanding of their potential advantages and limitations. This volume:- Bridges the gap between Net Generation learners and mathematics education- Presents conceptual frameworks for research in this area- Explores research data that shed a light on innovative theories and practices in the field of visual mathematics and cyberlearning.
Beschreibung / Inhaltsverzeichnis:
Visual Mathematics and Cyberlearning; Introduction; Mathematics Education in the Digital Era (MEDEra) Series; Visual Mathematics and Cyberlearning - The First Book in the MEDEra Series; Contents; Patterns of Collaboration: Towards Learning Mathematics in the Era of the Semantic Web; Introduction; Cyberlearning: From Web 1.0 to Web 2.0; Patterns of Collaboration: The Case of the MiGen and Metafora Projects; Collaboration in Exploratory Learning Environments; The MiGen System and the Metafora Platform; Collaboration Within the MiGen System and the Metafora Platform
Beschreibung / Inhaltsverzeichnis:
Student Collaboration and the TeacherCyberlearning: From Web 2.0 to Web 3.0; The Likely Impact of Web 3.0 on Systems Such as MiGen and Metafora; Conclusion; References; Collaborative Mathematics Learning in Online Environments; Introduction; Collaborative Online Learning of Research-Level Mathematics; Why Talk About the Research Level?; Overview of Online Collaboration at the Research Level; The Polymath Projects; The MathOverflow Website; Collaborative Online Learning: Undergraduate and School-Age Mathematics; Mathematics - Stack Exchange
Beschreibung / Inhaltsverzeichnis:
An Excerpt of an Exchange on Mathematics - Stack ExchangeA Global Learning Project; Virtual Math Teams; Analysis and Contextualization; Computer Supported Collaborative Learning; The Computer Moderated Communication Model; Networked Learning, and Collaboration Versus Cooperation; Self-Regulated Learning; Discussion; References; The Integration of Mathematics Discourse, Graphical Reasoning and Symbolic Expression by a Virtual Math Team; Mathematical Practices; Data Collection and Methodology; Setting Up the Mathematical Analysis; Excerpt 1: Constitution of a New Math Task
Beschreibung / Inhaltsverzeichnis:
Excerpt 2: Co-construction of a Method for Counting SticksExcerpt 3: Collective Noticing of a Pattern of Growth; Excerpt 4: Resolution of Referential Ambiguity via Visual Proof; Concluding the Mathematical Analysis; Excerpt 5: Re-initiating the Discussion of the Algebraic Formula; Excerpt 6: Co-reflection on What the Team has Achieved So Far; Excerpt 7: Overcoming the Problem of Overlapping Sticks; Excerpt 8: Derivation of the Formula for the Number of Sticks; Discussion; Visibility of the Production Process; Persistent Presence of Contributions
Beschreibung / Inhaltsverzeichnis:
Methods for Referencing Relevant Artifacts in the Shared Visual FieldCoordination of Whiteboard Visualizations and Chat Narratives; Past and Future Relevancies Implied by Shared Mathematical Artifacts; Conclusion; References; Investigating the Mathematical Discourse of Young Learners Involved in Multi-Modal Mathematical Investigations: The Case of Haptic Technologies; Background and Rationale; Dynamic Geometry; Haptic Technology; Merging Fields; Theoretical Perspectives; Multi-modal Environment Design; Technical Specifications; Design of Mathematical Activities; Classification of Solids
Beschreibung / Inhaltsverzeichnis:
Planar Intersections
Beschreibung / Inhaltsverzeichnis:
1. Keith Jones, Eirini Geraniou, & Thanassis Tiropanis: Patterns of collaboration: Towards learning mathematics in the era of the semantic web -- 2. Gorjan Alagic & Mara Alagic: Collaborative mathematics learning in online environments -- 3. Murat Perit Cakir & Gerry Stahl: The integration of mathematics discourse, Graphical reasoning and symbolic expression by a Virtual Math Team -- 4. Beste Güçler, Stephen Hegedus, Ryan Robidoux, & Nicholas Jackiw: Investigating the Mathematical Discourse of Young Learners Involved in Multi-Modal Mathematical Investigations: The Case of Haptic Technologies -- 5. Dragan Trninic & Dor Abrahamson: Embodied interaction as designed mediations of conceptual performance -- 6. Luis Radford: Sensuous Cognition -- 7. George Gadanidis & Immaculate Namukasa: New media and online mathematics learning for teachers -- 8. Ann LeSage: Web-based video clips: A supplemental resource for supporting pre-service elementary mathematics teachers -- 9. Dragana Martinovic, Viktor Freiman, & Zekeriya Karadag: Visual mathematics and cyberlearning in view of Affordance and Activity Theories. .
Anmerkung:
Description based upon print version of record
DOI:
10.1007/978-94-007-2321-4
URL:
Volltext
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