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Stephen Wolfram, creator of Mathematica, talks about his quest to make all knowledge computational -- able to be searched, processed and manipulated. His new search engine, Wolfram Alpha, has no lesser goal than to model and explain the physics underlying the universe.

BusinessWeek's 2006 Cover Story, "Math Will Rock Your World," announced a new age of numbers. With the rise of new networks, the story argued, all of us were channeling the details of our lives into vast databases. Every credit-card purchase, every cell-phone call, every click on the computer mouse fed these digital troves. Those with the tools and skills to make sense of them could begin to decipher our movements, desires, diseases, and shopping habits-and predict our behavior. This promised to transform business and society. In a book expanding upon this Cover Story, The Numerati, Senior Writer Stephen Baker introduces us to the mathematical wizards who are digging through our data to decode us as patients, shoppers, voters, potential terrorists-even lovers.

I've been following developments in intelligent tutoring systems for a while,  and find it interesting to see how researchers are combining artificial intelligence, learning theory, affective computing, and sensor networks to create applications that might prove to be useful and effective.

Here we've got a classmate PC demo that shows off Richard Beckwith shows off Classmate Assist which supports users seated or standing at the desk or table. This is an example of context aware computing. There are visual sensors that recognize the items on the table and instruct and walk the students through a series of educational tasks. The goal is to support existing curriculum and practices of teachers.

As the integration of community-centred teaching practices intensifies, an understanding of the types of relationships that manifest in this network and the associated impact on student learning is required. This paper explores the relationship between a student's position in a classroom social network and their reported level of sense of community. Quantitative methods, such as Rovai's (2002b) Classroom Community Scale and social network centrality measures, were incorporated to evaluate an individual's level of sense of community and their position within the classroom social network. Qualitative methods such as discussion forum content analysis and student interviews were adopted to clarify and further inform this relationship. The results demonstrate that the centrality measures of  closeness and  degrees are positive predictors of an individual's reported sense of community whereas,  betweenness indicates a negative correlation. Qualitative analyses indicate that an individual's pre-existing external social network influences the type of support and information exchanges an individual requires and therefore, the degree of sense of community ultimately experienced. The paper concludes by discussing future recommendations for teaching practices incorporating computer-mediated communications. 

Social network analysis [SNA] is the mapping and measuring of relationships and flows between people, groups, organizations, computers, URLs, and other connected information/knowledge entities. The nodes in the network are the people and groups while the links show relationships or flows between the nodes. SNA provides both a visual and a mathematical analysis of human relationships. Management consultants use this methodology with their business clients and call it Organizational Network Analysis [ONA].

According to Eva Tardos, Jacob Gould Schurman Professor of Computer Science at Cornell University, the researchers' paper "is more the beginning of research than a definitive result or end product." The researchers' models make several simplifying assumptions - including the number of competitors - that make the math easier but limit their applicability. Nonetheless, "just raising the questions is an important step forward," Tardos says.

Singapore's government has also provided substantial support for the Living Analytics Research Centre. The Centre, a research partnership between Carnegie Mellon and Singapore Management University, "seeks to make Singapore one of the world's premier locations for the development and applied use of real-time consumer and social analytics, as well as one of the world's leading centres for computational social science related R&D and education."

Among the greatest innovations might be the advent of real-time analytics, which allow the processing of information in real time to enable instantaneous decision-making.