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Learning Mathematics brings together a collection of interrelated and forward-looking chapters by internationally recognized experts that explores changes in the theories and practices of learning (and teaching) mathematics. The authors reject a traditional, transmission view of the teaching of mathematics which has proved so ineffective for learning. In its place they offer information gathered from research and from practice about effects on the learners seeking to create and negotiate meaning. Learners are presented as actively attempting to make sense of the mathematics they encounter, and learners, teachers and researchers are offered examples of ho such sense-making activities, incorporated into mathematics classrooms, impact on coming to know. The book celebrates both diversity, in the range of different perspectives, contributions and topics, and unity, in the linking chapters and themes, It will be fascinating reading for those mathematics educators who are eager to engage with a socio-cultural perspective in order to better understand the complexity of learning mathematics.
Integrity constraints are semantic conditions that a database should satisfy in order to be an appropriate model of external reality. In practice, and for many reasons, a database may not satisfy those integrity constraints, and for that reason it is said to be inconsistent. However, and most likely, a large portion of the database is still semantically correct, in a sense that has to be made precise. After having provided a formal characterization of consistent data in an inconsistent database, the natural problem emerges of extracting that semantically correct data, as query answers. The consistent data in an inconsistent database is usually characterized as the data that persists across a...
Professor Stephen Lerman has been a leader in the field of mathematics education for thirty years. His work is extensive, making many significant contributions to a number of key areas of research. Stephen retired from South Bank University in 2012, where he had worked for over 20 years, though he continues to work at Loughborough University. In this book several of his long standing colleagues and collaborators reflect on his contribution to mathematics education, and in so doing illustrate how some of Steve’s ideas and interventions have resulted in significant shifts in the domain.
How elite universities are entering the world of online education Over the past decade, a small revolution has taken place at some of the world's leading universities, as they have started to provide free access to undergraduate course materials—including syllabi, assignments, and lectures—to anyone with an Internet connection. Yale offers high-quality audio and video recordings of a careful selection of popular lectures, MIT supplies digital materials for nearly all of its courses, Carnegie Mellon boasts a purpose-built interactive learning environment, and some of the most selective universities in India have created a vast body of online content in order to reach more of the country's...
Today, all it takes is one organizational misstep to sink a company's reputation. Social media can be a strict ethical enforcer, with the power to convince thousands to boycott products and services. Executives are stuck on appeasing stakeholders—shareholders, employees, and consumers—but they ignore shapeholders, regulators, the media, and social and political activists who have no stake in a company but will work hard to curb what they see as bad business practices. And they do so at their own peril. In Shapeholders: Business Success in the Age of Activism, former congressman, Fortune 500 executive, and university president Mark Kennedy argues that shapeholders, as much as stakeholders...
Settle Your Disputes without Fighting, Folding or Fleeing
From the concert stage to the dressing room, from the recording studio to the digital realm, SPIN surveys the modern musical landscape and the culture around it with authoritative reporting, provocative interviews, and a discerning critical ear. With dynamic photography, bold graphic design, and informed irreverence, the pages of SPIN pulsate with the energy of today's most innovative sounds. Whether covering what's new or what's next, SPIN is your monthly VIP pass to all that rocks.
John Mason has been a prominent figure in the research field of mathematics education for several decades. His principal focus has been thinking about mathematical problems, supporting those who wish to foster and sustain their own thinking and the thinking of others.
An innovative contribution to educational research is to be found in this book. The book addresses the need to generate texts that assist educators and future educators in taking up new research and making sense of it. It offers unique approaches to interpreting research within the mathematics education field and takes its place in a growing set of resources. The book will appeal to teacher educators, student teachers, and mathematics education researchers alike.
Offering a narrative of the price of politics, money, and ambition, and an account of how ordinary people can prevail over powerful interests, this title tells how a grassroots movement of concerned citizens at WQED in Pittsburgh was able to overcome enormous institutional influence in their quest for public accountability.