Problem Posing and Problem Solving in Mathematics Education

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Author :
Publisher : Springer Nature
ISBN 13 : 9819972051
Total Pages : 263 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Problem Posing and Problem Solving in Mathematics Education by : Tin Lam Toh

Download or read book Problem Posing and Problem Solving in Mathematics Education written by Tin Lam Toh and published by Springer Nature. This book was released on 2024-01-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students’ mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.

Second Handbook of Research on Mathematics Teaching and Learning

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Author :
Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 1380 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

The Oxford Handbook of Numerical Cognition

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Publisher : Oxford Library of Psychology
ISBN 13 : 0199642346
Total Pages : 1217 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis The Oxford Handbook of Numerical Cognition by : Roi Cohen Kadosh

Download or read book The Oxford Handbook of Numerical Cognition written by Roi Cohen Kadosh and published by Oxford Library of Psychology. This book was released on 2015 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.

Teaching and Learning Mathematics

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Author :
Publisher : A&C Black
ISBN 13 : 0826472370
Total Pages : 241 pages
Book Rating : 4.8/5 (264 download)

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Book Synopsis Teaching and Learning Mathematics by : Marilyn Nickson

Download or read book Teaching and Learning Mathematics written by Marilyn Nickson and published by A&C Black. This book was released on 2004-09-22 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a summary of the research in all the major topics of interest and concern to teachers of mathematics, from primary (elementary) to secondary (high) schools. It is directed towards students, in-service teachers, maths advisers and tutors.

Making Sense of Word Problems

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Author :
Publisher : CRC Press
ISBN 13 : 9789026516283
Total Pages : 232 pages
Book Rating : 4.5/5 (162 download)

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Book Synopsis Making Sense of Word Problems by : Eric de Corte

Download or read book Making Sense of Word Problems written by Eric de Corte and published by CRC Press. This book was released on 2000-01-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts

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Author :
Publisher : Academic Press
ISBN 13 : 0128133686
Total Pages : 362 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts by : David C. Geary

Download or read book Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts written by David C. Geary and published by Academic Press. This book was released on 2017-08-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public

Boèce, Ou La Chaîne Des Savoirs

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Publisher :
ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Boèce, Ou La Chaîne Des Savoirs by : Fondation Singer-Polignac. Colloque international

Download or read book Boèce, Ou La Chaîne Des Savoirs written by Fondation Singer-Polignac. Colloque international and published by . This book was released on 2003 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Author :
Publisher : Odile Jacob
ISBN 13 : 2738182658
Total Pages : 341 pages
Book Rating : 4.7/5 (381 download)

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Book Synopsis by :

Download or read book written by and published by Odile Jacob. This book was released on with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Constructing Knowledge for Teaching Secondary Mathematics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387098127
Total Pages : 321 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Constructing Knowledge for Teaching Secondary Mathematics by : Orit Zaslavsky

Download or read book Constructing Knowledge for Teaching Secondary Mathematics written by Orit Zaslavsky and published by Springer Science & Business Media. This book was released on 2011-04-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents. This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice). This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.

From beliefs to dynamic affect systems in mathematics education

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Author :
Publisher : Springer
ISBN 13 : 3319068083
Total Pages : 415 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis From beliefs to dynamic affect systems in mathematics education by : Birgit Pepin

Download or read book From beliefs to dynamic affect systems in mathematics education written by Birgit Pepin and published by Springer. This book was released on 2014-10-21 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book connects seminal work in affect research and moves forward to provide a developing perspective on affect as the “decisive variable” of the mathematics classroom. In particular, the book contributes and investigates new conceptual frameworks and new methodological ‘tools’ in affect research and introduces the new field of ‘collectives’ to explore affect systems in diverse settings. Investigated by internationally renowned scholars, the book is build up in three dimensions. The first part of the book provides an overview of selected theoretical frames - theoretical lenses - to study the mosaic of relationships and interactions in the field of affect. In the second part the theory is enriched by empirical research studies and provides relevant findings in terms of developing deeper understandings of individuals’ and collectives’ affective systems in mathematics education. Here pupil and teacher beliefs and affect systems are examined more closely. The final part investigates the methodological tools used and needed in affect research. How can the different methodological designs contribute data which help us to develop better understandings of teachers’ and pupils’ affect systems for teaching and learning mathematics and in which ways are knowledge and affect related?

Artificial Intelligence in Education

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Author :
Publisher : IOS Press
ISBN 13 : 1607501201
Total Pages : 1040 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Artificial Intelligence in Education by : C.-K. Looi

Download or read book Artificial Intelligence in Education written by C.-K. Looi and published by IOS Press. This book was released on 2005-07-14 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of Artificial Intelligence in Education has continued to broaden and now includes research and researchers from many areas of technology and social science. This study opens opportunities for the cross-fertilization of information and ideas from researchers in the many fields that make up this interdisciplinary research area, including artificial intelligence, other areas of computer science, cognitive science, education, learning sciences, educational technology, psychology, philosophy, sociology, anthropology, linguistics, and the many domain-specific areas for which Artificial Intelligence in Education systems have been designed and built. An explicit goal is to appeal to those researchers who share the perspective that true progress in learning technology requires both deep insight into technology and also deep insight into learners, learning, and the context of learning. The theme reflects this basic duality.

Problems and Proofs in Numbers and Algebra

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Publisher : Springer
ISBN 13 : 3319144278
Total Pages : 230 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Problems and Proofs in Numbers and Algebra by : Richard S. Millman

Download or read book Problems and Proofs in Numbers and Algebra written by Richard S. Millman and published by Springer. This book was released on 2015-02-09 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high-achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge. In the past, PNA has been taught in a "problem solving in middle school” course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.

Manuel pour les évaluations à  grande échelle des acquis scolaires

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Author :
Publisher : World Bank Publications
ISBN 13 : 1464819793
Total Pages : 202 pages
Book Rating : 4.4/5 (648 download)

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Book Synopsis Manuel pour les évaluations à  grande échelle des acquis scolaires by : Marguerite Clarke

Download or read book Manuel pour les évaluations à  grande échelle des acquis scolaires written by Marguerite Clarke and published by World Bank Publications. This book was released on 2023-06-30 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Des pays du monde entier se sont lancés dans de grandes évaluations nationales ou ont participé pour la première fois à de grandes évaluations régionales ou internationales dans le but d’améliorer leur systèmed’éducation. Lorsque les évaluations sont bien conçues, les informations crédibles qu’elles f ournissent au sujet de la performance des élèves peuvent contribuer à mieux répartir les ressources entre les établissements et à améliorer la qualité de l’enseignement et le rendement de l’apprentissage. Les services de la Banque mondiale ont rédigé le présent Manuel pour les évaluations à grande échelle des acquis scolaires dans le but de proposer un guide complet à ceux qui veulent en apprendre davantage sur la conception et l’administration de ce type d’évaluations et sur l’analyse et l’utilisation de leurs résultats. Cet ouvrage répond à des questions que se posent souvent les équipes chargées de grandes évaluations et les responsables politiques qui souhaitent prendre des décisions les concernant en toute connaissance de cause. Chaque chapitre aborde une étape du processus d’évaluation, prodigue des conseils, propose des orientations et donne des exemples de ce qui se fait dans des pays. Par ailleurs, cet ouvrage décrit les nouvelles tendances qui se dessinent dans les grandes évaluations et donne des informations à jour sur de grandes évaluations régionales et internationales. DIRK HASTEDT, Directeur exécutif de l’Association internationale pour l’évaluation du rendement scolaire (IEA) « Ce qu’il y a d’unique dans cet ouvrage, c’est qu’en plus de passer des spécifications techniques en revue, il donne des exemples de la façon dont des pays du monde entier administrent des évaluations à grande échelle, en tirent des enseignements et en utilisent les résultats. En ce sens, ce Manuel pour les évaluations à grande échelle des acquis scolaires est un excellent guide pratique à consulter pour obtenir une vue d’ensemble des grandes évaluations et mieux comprendre comment et pourquoi les administrer. » SILVIA MONTOYA, Directrice de l’Institut de statistique de l’UNESCO (ISU) « C’est l’ouvrage idéal pour les responsables d’évaluations scolaires à la recherche d’informations complètes, mais lisibles, sur le sujet. Il est extrêmement bien rédigé et parfaitement structuré, de sorte qu’il est facile à consulter et que tous les aspects y sont décrits clairement et avec concision. C’est l’ouvrage de référence par excellence pour tous ceux qui veulent explorer les étapes à enchaîner pour mener une grande évaluation, d’autant qu’il foisonne d’exemples sur toutes les grandes évaluations internationales. » ANDREAS SCHLEICHER, Directeur de la Direction de l’éducation et des compétences et conseiller spécial du Secrétaire général, chargé de la politique de l’éducation, de l’Organisation de coopération et de développement économiques (OCDE) « De nombreux pays ont décidé d’administrer des évaluations internationales pour comparer la qualité, l’équité et l’efficience de leur système d’éducation à des normes de référence. Mais retirent-ils vraiment de leurs efforts de planification, d’administration et d’analyse de quoi aider les élèves à mieux apprendre, les enseignants à mieux enseigner et les établissements à travailler plus efficacement ? Ce Manuel pour les évaluations à grande échelle des acquis scolaires aidera les responsables politiques et leurs équipes techniques à répondre à ces questions. » ANDREI VOLKOV, Directeur de l’Institut de stratégie publique, École de gestion de Moscou SKOLKOVO « En 2008, c’est en grande partie dans l’objectif d’améliorer la qualité de l’enseignement fondamental que le Fonds fiduciaire de l’assistance russe à l’éducation pour le développement (READ) a été créé. Le Fonds continue de donner l’exemple, c’est d’ailleurs la plus grande initiative russe visant à promouvoir l’évaluation des acquis scolaires. Les approches conçues à l’aide du Fonds, que ce soit celles visant à renforcer les capacités institutionnelles et spécialisées ou à orienter les réformes de l’éducation, ont prouvé leur efficacité dans de nombreux pays. Le Manuel pour les évaluations à grande échelle des acquis scolaires rassemble sous un format pratique les meilleures études de cas au sujet des évaluations à grande échelle. Cet ouvrage a un atout particulièrement important, celui de proposer un système intégré de renforcement des capacités, de sorte que c’est un guide pratique, facile à utiliser dans des contextes culturels différents. Nous espérons que cet ouvrage contribuera à faire connaître largement l’expérience collective rassemblée par le Fonds et nous rapprochera de la réalisation de l’objectif relatif à l’éducation dans le Programme de développement durable. »

History of Mathematics in Africa: 2000-2011

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Author :
Publisher : Lulu.com
ISBN 13 : 1105141004
Total Pages : 450 pages
Book Rating : 4.1/5 (51 download)

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Book Synopsis History of Mathematics in Africa: 2000-2011 by : Paulus Gerdes

Download or read book History of Mathematics in Africa: 2000-2011 written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalogue of the Books in the Manchester Public Free Library, Reference Department. Prepared by A. Crestadoro. (Vol. II. Comprising the Additions from 1864 to 1879.) [With the "Index of Names and Subjects".]

Download Catalogue of the Books in the Manchester Public Free Library, Reference Department. Prepared by A. Crestadoro. (Vol. II. Comprising the Additions from 1864 to 1879.) [With the

Author :
Publisher :
ISBN 13 :
Total Pages : 1126 pages
Book Rating : 4.V/5 (1 download)

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Book Synopsis Catalogue of the Books in the Manchester Public Free Library, Reference Department. Prepared by A. Crestadoro. (Vol. II. Comprising the Additions from 1864 to 1879.) [With the "Index of Names and Subjects".] by : Public Free Libraries (Manchester)

Download or read book Catalogue of the Books in the Manchester Public Free Library, Reference Department. Prepared by A. Crestadoro. (Vol. II. Comprising the Additions from 1864 to 1879.) [With the "Index of Names and Subjects".] written by Public Free Libraries (Manchester) and published by . This book was released on 1864 with total page 1126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalogue of Scientific Papers

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Publisher :
ISBN 13 :
Total Pages : 1050 pages
Book Rating : 4.+/5 (22 download)

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Book Synopsis Catalogue of Scientific Papers by :

Download or read book Catalogue of Scientific Papers written by and published by . This book was released on 1867 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalogue of Scientific Papers (1800-1900): ser. 1 , 1800-1863

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Publisher :
ISBN 13 :
Total Pages : 1058 pages
Book Rating : 4.:/5 (32 download)

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Book Synopsis Catalogue of Scientific Papers (1800-1900): ser. 1 , 1800-1863 by : Royal Society (Great Britain)

Download or read book Catalogue of Scientific Papers (1800-1900): ser. 1 , 1800-1863 written by Royal Society (Great Britain) and published by . This book was released on 1867 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt: