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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.
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...
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.
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...
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. Among the many markers of his esteemed career was the 1984 publication of Thinking Mathematically (with Leone Burton and Kaye Stacey). It has become a classic in the field, having been translated into many languages and in use in countries around the world. Thinking Mathematically and other writings in his substantial body of work are used with advanced high school students, with pre-service and practicing teachers, and by rese...
This book offers a unique perspective on ways in which mathematicians: perceive their students' learning; teach; reflect on their teaching practice. Elena Nardi achieves this by employing two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. The construction of these characters is based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students' written work, collected and analyzed over a substantial period.