This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters' mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students and teachers perspectives on mathematics learning, especially school compared to beyond-school mathematics.

This monograph presents the current views, challenges and future needs of educators from a global online exchange where educators and researchers discuss the 21st century skills needed by students and teachers. The three editors, who participated in the global online research discussion group, also assumed the role of authors to summarise, analyse and celebrate the myriad of ideas generated in a topic thread that had well over a thousand responses from 26 countries. Through Comparative Analysis they then compared the posters' ideas to some current big thinkers in education. This text promotes teachers' voices from diverse disciplines and sectors who are united in their desire for purposeful and radical change in how teaching is carried out and what is taught. The text advocates shifting power away from government control and standardisation towards empowering teachers to guide and further develop the unique talents of diverse individuals.

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters' mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students and teachers perspectives on mathematics learning, especially school compared to beyond-school mathematics.