Community Building With And For Teachers At The Math Forum

This chapter addresses the way in which the Internet forms the core of an intentional, online community by promoting communication between interested parties. The Math Forum (mathforum.org) is a unique group of individuals who are committed to using computers and the Internet to enhance what they know about learning, teaching, and doing mathematics. The Math Forum includes programmers, project and service staff, Web persons, and an ever-expanding number of teachers, students, and other individuals (i.e., parents, software developers, mathematicians). Thus, community building for The Math Forum staff includes work with teachers, with partners (National Council of the Teachers of Mathematics, Mathematics Association of America, and so on), and with specific services developed by The Math Forum staff that enable teachers and students to come together to pose and seek solutions to problems. The Math Forum uses the Internet to provide interactive services that foster mathematical thinking and discussion. These services include Ask Dr. Math and several Problems of the Week (PoWs); a teacher discussion format called Teacher to Teacher (T2T); an archive of problems, participant contributions (e.g., lesson plans), and past discussions; and an Internet newsletter. Within four years, with no explicit efforts to garner promotion or publicity, the site grew to include 1,600,000 Web pages and to attract 3.5 million accesses and over 800,000 visitors per month – a third of which constitutes sticky traffic ranging from world-famous mathematicians to elementary school children

The Centrality Of Culture And Community To Participant Learning At And With The Math Forum

In this chapter, the terms culture and community are problematized, and their centrality to participant learning at and with The Math Forum (mathforum.org) is discussed. Culture, as it is used here, refers to the rituals and norms that come to be associated with a site and its functioning. Community describes recognition of connections to and identification with other participants. The Math Forum is an interactive and inquiry-informed digital library, or virtual resource center, for mathematics education. Previous chapters have addressed the ways in which The Math Forum has leveraged the concept of community in order to become a dynamic and resource-rich educational site (Renninger & Shumar, 2002; Shumar & Renninger, 2002). In the present chapter, this analysis is taken a step further. The culture of The Math Forum is described as providing its participants with a unique set of opportunities for learning and for making the relationship between the individual and the community one in which individual and community needs can both be met. Site culture enables contributions from individuals that by definition help to build out and sustain this community. Math Forum participants include Math Forum staff members and a mix of teachers, students, and other individuals such as parents, software developers, mathematicians, math educators, professionals, and tradespeople, many of whom also volunteer their time as mentors for the site. Participants differ not only in terms of their roles, but in their experience, level of expertise, and interest for mathematics (Renninger & Shumar, 2002)

Amplifier similariton fiber laser with nonlinear spectral compression

We propose a new concept of a fiber laser architecture supporting self-similar pulse evolution in the amplifier and nonlinear spectral pulse compression in the passive fiber. The latter process allows for transform-limited picosecond pulse generation, and improves the laser’s power efficiency by preventing strong spectral filtering from being highly dissipative. Aside from laser technology, the proposed scheme opens new possibilities for studying nonlinear dynamical processes. As an example, we demonstrate a clear period-doubling route to chaos in such a nonlinear laser system