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In light of increasing demands on teachers and the need to develop teaching-related competences, this book examines the situation-specific skill of teacher noticing in pre-service and in-service secondary mathematics teachers. A video-based test instrument is used to measure teachers’ noticing skills in perception, interpretation, and decision-making from both general and mathematics pedagogical perspectives. The aim is to understand the structure and characteristics of teacher noticing across different groups, as well as the influences of teaching experience and opportunities to learn. Three quantitative studies are conducted: two cross-sectional studies with 457 participants, including m...
This volume gathers together twenty major chapters that tackle a variety of issues associated with equity in mathematics education along the dimensions of gender, culture, curriculum diversity, and matters of a biological nature. The pursuit of equity in mathematics education is an important concern in the history of the present. Since there is no doubt about the significant role of mathematics in almost every aspect of life, it means that all individuals regardless of sex, in any age range, and in whatever context need to be provided with an opportunity to become mathematically able. The publication of this Springer volume on equity in mathematics education is situated at a time when ...
Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.
Among the themes that have been central to mathematics education dur ing the last 30 years are those of mathematical modelling and applications of mathematics to extra-mathematical fields. More generally we refer to these as relations between mathematics and the extra-mathematical world (some times also called the "real world") or preferably, according to Henry PoUak, the "rest of the world". That applications and modelling have been important themes in mathematics education can be inferred from the wealth of litera ture on these topics, including material generated from a multitude of na tional and international conferences. In particular let us mention firstly the ICMEs (the International ...
The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?
In an era when the practice, indeed the art, of writing by hand is fast giving way to the keyboard, it is timely to pause and to consider the volume of words penned on paper over time. HANDWRITTEN: TEN CENTURIES OF MANUSCRIPT traces the lives and thoughts, problems and solutions, inspirations and creative endeavours of some of the world's greatest thinkers, innovators and artists. From a late ninth-century fragment of Virgil's epic poem the AENEID to a beautifully decorated manuscript of Dante Alighieri's THE DIVINE COMEDY, from Galileo's letter to a colleague and former pupil to Florence Nightingale's practical advice for an English politician, this publication captures memorable moments spanning the medieval era to today.
The Wonderland architecture exhibition toured Europe from 2004 to 2006. At every stop 11 national teams – mostly young, unknown teams – joined the exhibition and presented their work along with the others already featured. The exhibition, which began in Austria and grew continuously, will close where it originated in June 2006. The collection of contributions is both a catalog and travelogue in one: each of the 99 participating architecture teams is introduced with both images and texts. The essays give accounts of the architectural developments in the different countries from the perspective of local architecture experts and contain both a retrospect and forecast of the events surrounding the individual exhibitions.