Reshaping School Mathematics

Author by : Mathematical Sciences Education Board
Language : en
Publisher by : National Academies Press
Format Available : PDF, ePub, Mobi
Total Read : 71
Total Download : 316
File Size : 43,7 Mb
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Description : The United States must restructure mathematics education--both what is learned and the way it is taught--if children are to develop the mathematical knowledge and skills they will need to be personally and professionally competent in the twenty-first century. Joining the recent reports that have opened a national dialogue on these issues, Reshaping School Mathematics focuses discussion on essential ideas that transcend details of current curricula or assessment results. It examines changing perspectives on the role of mathematics in society and changing practice in the use of technology--particularly calculators and computers--in mathematics education.


Reshaping School Mathematics

Author by : National Research Council
Language : en
Publisher by : National Academies Press
Format Available : PDF, ePub, Mobi
Total Read : 77
Total Download : 896
File Size : 45,9 Mb
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Description : The United States must restructure mathematics education--both what is learned and the way it is taught--if children are to develop the mathematical knowledge and skills they will need to be personally and professionally competent in the twenty-first century. Joining the recent reports that have opened a national dialogue on these issues, Reshaping School Mathematics focuses discussion on essential ideas that transcend details of current curricula or assessment results. It examines changing perspectives on the role of mathematics in society and changing practice in the use of technology--particularly calculators and computers--in mathematics education.


High School Mathematics At Work

Author by : National Research Council
Language : en
Publisher by : National Academies Press
Format Available : PDF, ePub, Mobi
Total Read : 75
Total Download : 969
File Size : 53,8 Mb
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Description : Traditionally, vocational mathematics and precollege mathematics have been separate in schools. But the technological world in which today's students will work and live calls for increasing connection between mathematics and its applications. Workplace-based mathematics may be good mathematics for everyone. High School Mathematics at Work illuminates the interplay between technical and academic mathematics. This collection of thought-provoking essays--by mathematicians, educators, and other experts--is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to strengthen high school mathematical education. This important book addresses how to make mathematical education of all students meaningful--how to meet the practical needs of students entering the work force after high school as well as the needs of students going on to postsecondary education. The short readable essays frame basic issues, provide background, and suggest alternatives to the traditional separation between technical and academic mathematics. They are accompanied by intriguing multipart problems that illustrate how deep mathematics functions in everyday settings--from analysis of ambulance response times to energy utilization, from buying a used car to "rounding off" to simplify problems. The book addresses the role of standards in mathematics education, discussing issues such as finding common ground between science and mathematics education standards, improving the articulation from school to work, and comparing SAT results across settings. Experts discuss how to develop curricula so that students learn to solve problems they are likely to encounter in life--while also providing them with approaches to unfamiliar problems. The book also addresses how teachers can help prepare students for postsecondary education. For teacher education the book explores the changing nature of pedagogy and new approaches to teacher development. What kind of teaching will allow mathematics to be a guide rather than a gatekeeper to many career paths? Essays discuss pedagogical implication in problem-centered teaching, the role of complex mathematical tasks in teacher education, and the idea of making open-ended tasks--and the student work they elicit--central to professional discourse. High School Mathematics at Work presents thoughtful views from experts. It identifies rich possibilities for teaching mathematics and preparing students for the technological challenges of the future. This book will inform and inspire teachers, teacher educators, curriculum developers, and others involved in improving mathematics education and the capabilities of tomorrow's work force.


Reshaping College Mathematics

Author by : Lynn Arthur Steen
Language : en
Publisher by : Mathematical Assn of Amer
Format Available : PDF, ePub, Mobi
Total Read : 9
Total Download : 354
File Size : 49,5 Mb
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Description :


Windows On Mathematical Meanings

Author by : Richard Noss
Language : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 55
Total Download : 682
File Size : 40,7 Mb
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Description : This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.


Measuring What Counts

Author by : National Research Council
Language : en
Publisher by : National Academies Press
Format Available : PDF, ePub, Mobi
Total Read : 26
Total Download : 780
File Size : 43,6 Mb
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Description : To achieve national goals for education, we must measure the things that really count. Measuring What Counts establishes crucial research- based connections between standards and assessment. Arguing for a better balance between educational and measurement concerns in the development and use of mathematics assessment, this book sets forth three principles--related to content, learning, and equity--that can form the basis for new assessments that support emerging national standards in mathematics education.


Mathematics Education As A Research Domain A Search For Identity

Author by : Anna Sierpinska
Language : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 30
Total Download : 333
File Size : 45,5 Mb
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Description : No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.


Rethinking The Mathematics Curriculum

Author by : Celia Hoyles
Language : en
Publisher by : Routledge
Format Available : PDF, ePub, Mobi
Total Read : 36
Total Download : 417
File Size : 52,7 Mb
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Description : At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.


Voices Of Inquiry In Teacher Education

Author by : Thomas S. Poetter
Language : en
Publisher by : Routledge
Format Available : PDF, ePub, Mobi
Total Read : 30
Total Download : 610
File Size : 51,9 Mb
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Description : This book is an attempt to show that preservice teacher knowledge is substantive and should be part of the wider database of knowledge about teaching and learning in the field of teacher education. From the perspectives of five prospective teacher interns and a teacher educator, this volume brings the experiences of students conducting research during preservice teacher education to life. Charged to conduct a semester long study in the school, the intern-authors studied classroom scenes and their own work, and wrote case studies depicting their experiences. Their pieces -- in their entirety -- compose the central chapters of the book and serve as examples of preservice teacher research. The surrounding chapters examine the interns' experiences of conducting research during their preservice internship year primarily from the perspective of a teacher educator who studied them and the scene throughout the experience. The teacher educator examines the interns' approaches to research and the processes they employed to conduct and complete their studies, the interns' professional growth as a result of their participation in the study, and the impact the project had on the program. This book fills the gaps that exist in the present literature on the use of teacher research during preservice by including the inquiry works of preservice teachers as examples of legitimate, important preliminary research in their own rights, and by addressing the complex issues of conducting this type of study during preservice from multiple perspectives, not just that of the university researcher. While some texts include the perspectives of students and even include portions of students' own work, this text takes the step of co-authorship, sharing the academic discourse with intern teachers who have produced experience and knowledge that are informative for the field of education as a whole and specifically for teacher education. The text attempts to combine many voices into one thorough, narrative approach, ultimately urging the reader to consider the possibilities of teacher research for advancing knowledge in the field and for enhancing the professional development of the participants.