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Author:
Publisher: BRILL
ISBN: 9460911501
Category : Education
Languages : en
Pages : 253
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Book Description
Mathematical tasks have long been recognized as crucial mediators ?between mathematical content and the mathematics learner. For many people, the mathematics classroom is defined by the type of tasks one finds there - and this is appropriate. Mathematical tasks are the embodiment of the curricular pretext that brings each particular set of individuals together in every mathematics classroom. In other contexts, individuals come together to engage in musical performances or dramatic performances. The performances of the mathematics classroom are largely the performance of mathematical tasks and if we are to understand and facilitate the learning that is the purpose of such settings then we must understand the nature of the performances that we find there. The classroom performance of a task is ultimately a unique synthesis of task, teacher, students and situation. Of particular interest are differences in the function of mathematically similar tasks when employed by different teachers, in different classrooms, for different instructional purposes, with different students. By making comparison possible between the classroom use of mathematical tasks in different classrooms around the world, the analyses reported in this book reveal the profound differences in how each teacher utilises mathematical tasks, in partnership with their students, to create a distinctive form of mathematical activity. The Learner’s Perspective Study aims to juxtapose the observable practices of the classroom and the meanings attributed to those practices by classroom participants. The LPS research design documents sequences of at least ten lessons, using three video cameras, supplemented by the reconstructive accounts of classroom participants obtained in post-lesson video-stimulated interviews, and by test and questionnaire data, and copies of student written material. In each participating country, data generation focuses on the classrooms of three teachers, identified by the local mathematics education community as competent, and situated in demographically different school communities within the one major city. The large body of complex data supports both the characterisation of practice in the classrooms of competent teachers and the development of theory.
Author: David Clarke
Publisher: Sense Publishers
ISBN: 907787495X
Category : Education
Languages : en
Pages : 407
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Book Description
The Learner's Perspective Study aims to juxtapose the observable practices of the classroom and the meanings attributed to those practices by classroom participants. The LPS research design documents sequences of at least ten lessons, using three video cameras, supplemented by the reconstructive accounts of classroom participants obtained in post-lesson video-stimulated interviews, and by test and questionnaire data, and copies of student written material. In each participating country, data generation focuses on the classrooms of three teachers, identified by the local mathematics education community as competent, and situated in demographically different school communities within the one major city. The large body of complex data supports both the characterisation of practice in the classrooms of competent teachers and the development of theory.
Author:
Publisher: BRILL
ISBN: 9460911501
Category : Education
Languages : en
Pages : 253
Get Book Here
Book Description
Mathematical tasks have long been recognized as crucial mediators ?between mathematical content and the mathematics learner. For many people, the mathematics classroom is defined by the type of tasks one finds there - and this is appropriate. Mathematical tasks are the embodiment of the curricular pretext that brings each particular set of individuals together in every mathematics classroom. In other contexts, individuals come together to engage in musical performances or dramatic performances. The performances of the mathematics classroom are largely the performance of mathematical tasks and if we are to understand and facilitate the learning that is the purpose of such settings then we must understand the nature of the performances that we find there. The classroom performance of a task is ultimately a unique synthesis of task, teacher, students and situation. Of particular interest are differences in the function of mathematically similar tasks when employed by different teachers, in different classrooms, for different instructional purposes, with different students. By making comparison possible between the classroom use of mathematical tasks in different classrooms around the world, the analyses reported in this book reveal the profound differences in how each teacher utilises mathematical tasks, in partnership with their students, to create a distinctive form of mathematical activity. The Learner’s Perspective Study aims to juxtapose the observable practices of the classroom and the meanings attributed to those practices by classroom participants. The LPS research design documents sequences of at least ten lessons, using three video cameras, supplemented by the reconstructive accounts of classroom participants obtained in post-lesson video-stimulated interviews, and by test and questionnaire data, and copies of student written material. In each participating country, data generation focuses on the classrooms of three teachers, identified by the local mathematics education community as competent, and situated in demographically different school communities within the one major city. The large body of complex data supports both the characterisation of practice in the classrooms of competent teachers and the development of theory.
Author: Lianghuo Fan
Publisher: World Scientific
ISBN: 9789812562241
Category : Mathematics
Languages : en
Pages : 594
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Book Description
The book has been written by an international group of very activeresearchers and scholars who have a passion for the study of Chinesemathematics education. It aims to provide readers with a comprehensiveand updated picture of the teaching and learning of mathematicsinvolving Chinese students from various perspectives, including theways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and socialenvironment on Chinese students'' mathematics learning, and thestrengths and weaknesses of the ways in which Chinese learnmathematics
Author: Frederick K.S. Leung
Publisher: Springer
ISBN: 9462097070
Category : Education
Languages : en
Pages : 266
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Book Description
Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deep-rooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the Confucian-Heritage Culture (CHC) countries and ‘Western’ countries. It seems that a common emphasis of algebra teaching in CHC countries is the ‘linkage’ or ‘coherence’ of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in ‘real world’ contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators.
Author: ALAN H. SCHOENFELD
Publisher: Elsevier
ISBN: 1483295486
Category : Mathematics
Languages : en
Pages : 426
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Book Description
This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.
Author:
Publisher: BRILL
ISBN: 9087908229
Category : Education
Languages : en
Pages : 336
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Book Description
What is effective mathematics teaching? This book represents the first purposeful cross-cultural collection of studies to answer this question from teachers’ perspectives. It focuses particularly on how teachers view effective teaching of mathematics. Teachers’ voices are heard and celebrated throughout the studies reported in this volume. These studies are drawn from many parts of the world representing both Eastern and Western cultural traditions. The editors and authors have deliberately included the views of teachers and educators from different cultural backgrounds, taking into account that beliefs on effective mathematics teaching and its features are highly influenced by one’s own culture. The book will provide readers and scholars with the stimulus to take the ideas presented and expand on them in ways that help improve mathematics education for children, teachers and researchers in both the East and the West.
Author: Berinderjeet Kaur
Publisher: Springer Nature
ISBN: 9811589569
Category : Education
Languages : en
Pages : 348
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Book Description
This book offers a detailed look into the how and what of mathematics instruction in Singapore. It presents multiple aspects of mathematics instruction in schools, ranging from the unique instructional core, practices that promote mastery, development of conceptual knowledge through learning experiences, nurturing of positive attitudes, self-regulation of learning and development and use of instructional materials for making connections across mathematical ideas, developing mathematical reasoning, and developing fluency in applying mathematical knowledge in problem solving.The book presents a methodology that is successful in documenting classroom instruction in a comprehensive manner. The research findings illuminate instruction methods that are culturally situated, robust and proven to impact student learning. It demonstrates how a unique data source can be analysed through multiple lenses and provides readers with a rich portrait of how the school mathematics instruction is enacted in Singapore secondary schools.
Author: Bharath Sriraman
Publisher: IAP
ISBN: 1681232790
Category : Education
Languages : en
Pages : 1800
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Book Description
Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.
Author: Carmel Mesiti
Publisher: Taylor & Francis
ISBN: 1000369773
Category : Education
Languages : en
Pages : 375
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Book Description
Different communities, speaking different languages, employ different naming systems to describe the events, actions, and interactions of the mathematics classroom. The International Classroom Lexicon Project documented the professional vocabulary available to middle-school mathematics teachers in Australia, Chile, China, the Czech Republic, Finland, France, Germany, Japan, Korea, and the United States. National teams of researchers and experienced teachers used a common set of classroom videos to stimulate recognition of familiar terms describing aspects of the mathematics classroom. This book details the existing professional vocabulary in each international community by which mathematics teachers conceptualise their practice, and explores the characteristics, structures, and distinctive features of each national lexicon. This book has the potential to enrich the professional vocabulary of mathematics teachers around the world by providing access to sophisticated classroom practices named by teachers in different countries. This one volume offers separate, individual lexicons developed from empirical research, the capacity to juxtapose such lexicons, and an unmatched opportunity to highlight the cultural, historical, and linguistic bases of teachers' professional language.
Author: Peter Liljedahl
Publisher: Corwin Press
ISBN: 1544374844
Category : Education
Languages : en
Pages : 454
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Book Description
A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
