Ebook: Visual Mathematics and Cyberlearning

This first book in the series will describe the Net Generation as visual learners who thrive when surrounded with new technologies and whose needs can be met with the technological innovations. These new learners seek novel ways of studying, such as collaborating with peers, multitasking, as well as use of multimedia, the Internet, and other Information and Communication Technologies. Here we present mathematics as a contemporary subject that is engaging, exciting and enlightening in new ways. For example, in the distributed environment of cyber space, mathematics learners play games, watch presentations on YouTube, create Java applets of mathematics simulations and exchange thoughts over the Instant Messaging tool. How should mathematics education resonate with these learners and technological novelties that excite them?

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.

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.

Content:
Front Matter....Pages i-x
Patterns of Collaboration: Towards Learning Mathematics in the Era of the Semantic Web....Pages 1-21
Collaborative Mathematics Learning in Online Environments....Pages 23-48
The Integration of Mathematics Discourse, Graphical Reasoning and Symbolic Expression by a Virtual Math Team....Pages 49-96
Investigating the Mathematical Discourse of Young Learners Involved in Multi-Modal Mathematical Investigations: The Case of Haptic Technologies....Pages 97-118
Embodied Interaction as Designed Mediation of Conceptual Performance....Pages 119-139
Sensuous Cognition....Pages 141-162
New Media and Online Mathematics Learning for Teachers....Pages 163-186
Web-Based Video Clips: A Supplemental Resource for Supporting Pre-service Elementary Mathematics Teachers....Pages 187-207
Visual Mathematics and Cyberlearning in View of Affordance and Activity Theories....Pages 209-238
Back Matter....Pages 239-249

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.

Content:
Front Matter....Pages i-x
Patterns of Collaboration: Towards Learning Mathematics in the Era of the Semantic Web....Pages 1-21
Collaborative Mathematics Learning in Online Environments....Pages 23-48
The Integration of Mathematics Discourse, Graphical Reasoning and Symbolic Expression by a Virtual Math Team....Pages 49-96
Investigating the Mathematical Discourse of Young Learners Involved in Multi-Modal Mathematical Investigations: The Case of Haptic Technologies....Pages 97-118
Embodied Interaction as Designed Mediation of Conceptual Performance....Pages 119-139
Sensuous Cognition....Pages 141-162
New Media and Online Mathematics Learning for Teachers....Pages 163-186
Web-Based Video Clips: A Supplemental Resource for Supporting Pre-service Elementary Mathematics Teachers....Pages 187-207
Visual Mathematics and Cyberlearning in View of Affordance and Activity Theories....Pages 209-238
Back Matter....Pages 239-249
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