symbols and meanings in school mathematics series

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Symbols And Meanings In School Mathematics

Author : David Pimm
ISBN : 9781134823659
Genre : Education
File Size : 89. 82 MB
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Symbols and Meanings in School Mathematics explores the various uses and aspects of symbols in school mathematics and also examines the notion of mathematical meaning. It is concerned with the power of language which enables us to do mathematics, giving us the ability to name and rename, to transform names and to use names and descriptions to conjure, communicate and control our images. It is in the interplay between language, image and object that mathematics is created and can be communicated to others. The book also addresses a set of questions of particular relevance to the last decade of the twentieth century, which arise due to the proliferation of machines offering mathematical functioning.

Elementary School Mathematics Series

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ISBN : STANFORD:36105049288942
Genre :
File Size : 89. 68 MB
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Semiotics As A Tool For Learning Mathematics

Author : Adalira Sáenz-Ludlow
ISBN : 9789463003377
Genre : Education
File Size : 65. 87 MB
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Semiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.

A System Of Practical Mathematics Being No Xvi Of A New Series Of School Books

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ISBN : OXFORD:600035464
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File Size : 88. 58 MB
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Rethinking The Mathematics Curriculum

Author : Celia Hoyles
ISBN : 9781135701079
Genre : Education
File Size : 83. 70 MB
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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.

Teaching And Learning High School Mathematics

Author : Charlene E. Beckmann
ISBN : 9780470454503
Genre : Education
File Size : 23. 70 MB
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A perfect resource for high school mathematics teachers, this book helps them develop or refine their own teaching philosophy. They’ll learn how to create a supportive classroom environment in which their students think together, take intellectual risks, and debate ideas. They’ll gain a better understanding about the importance of cooperative learning strategies through immersion. And they’ll engage in logic and reasoning. Puzzles and activities are presented to bring the material to life as well. All of this will help high school mathematics bring the excitement of the subject into the classroom.

Uncovering Student Thinking About Mathematics In The Common Core High School

Author : Cheryl Rose Tobey
ISBN : 9781452276571
Genre : Education
File Size : 71. 43 MB
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Helping students master secondary school mathematics just got a whole lot easier! Bestselling authors Cheryl Rose Tobey and Carolyn B. Arline provide 25 detailed and grade-level specific assessment probes that promote deep learning and expert maths instruction. Learn to ask the right questions to uncover where and how students commonly get confused. You'll learn how to: Quickly diagnose students' common misconceptions and procedural mistakes Help students pinpoint areas of struggle Plan targeted instruction that builds on students' current understandings while addressing difficulties with algebra, functions, logarithms, geometry, trigonometric ratios, statistics and probability, and more Elicit the skills and processes related to the Standards for Mathematical Practices You'll find sample student responses, extensive Teacher Notes, and research-based tips and resources, as well as the QUEST Cycle for effective, hands-on implementation, to help instil new mathematical ideas. This is a great teaching resource with easy-to-implement tools and ideas to build solid mathematics proficiency.

Toward A Visually Oriented School Mathematics Curriculum

Author : Ferdinand Rivera
ISBN : 9400700148
Genre : Education
File Size : 60. 69 MB
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What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – that is, seeing the visual in the symbolic and the symbolic in the visual."

Mathematics For Schools Colleges And Tutoring Centers

Author : Rubik Yegoryan
ISBN : 9781434373236
Genre : Mathematics
File Size : 45. 46 MB
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"How wonderful it is to have this book to be able to recognize the negatives that ill our thoughts. The possibility for people to change Edward says is now conceivable. Edward Jones knows the path to living a life of significance is to know who we are. To live with a sense of purpose where in our lives we create meaning, a life of significance. The Awakening reveals universal truths to provide us all the understanding. His ultimate goal is to place our minds in position, for us to grow true to form and live out our primary purpose. Sad to say it's that very purpose we've turned against. This book explains it's by our turning against this purpose we're destroying our selves and our world. Certain chaos is in only a matter of time, for it's the present negatives in our way of thinking, following their instinctive course. But it's Edward's inspiring message that provides the understanding and Hope." Bill Dixon, a friend

Academic Language In Diverse Classrooms Mathematics Grades 3 5

Author : Margo Gottlieb
ISBN : 9781452278056
Genre : Education
File Size : 23. 83 MB
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Make every student fluent in the language of learning. The Common Core and ELD standards provide pathways to academic success through academic language. Using an integrated Curricular Framework, districts, schools and professional learning communities can: Design and implement thematic units for learning Draw from content and language standards to set targets for all students Examine standards-centered materials for academic language Collaborate in planning instruction and assessment within and across lessons Consider linguistic and cultural resources of the students Create differentiated content and language objectives Delve deeply into instructional strategies involving academic language Reflect on teaching and learning

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