Volume II: Geometry

Elementary Mathematics from a Higher Standpoint

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A Complete Edition with A Facsimile Reprint of the Rediscovered Notebook of John Stuart Mill in Kwansei Gakuin University and Transcribed Text, Annotation and Comparative Studies

J. S. Mill’s Journal and Notebook of a Year in France, May 1820-July 1821

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'In sum, A Corpus-Based Approach to Sociolinguistics will serve the undergraduate course on sociolinguistics if supplemented with a manual on sociolinguistic concepts; it will then constitute an original and up to date introduction to the discipline, as well as to the CL methodology. Furthermore, it will be an even more valuable resource for the researcher new to CL that wishes to apply this methodology to sociolinguistics quantitative questions or wishes to know what sociolinguistics questions could be addressed with this methodology. Although not a manual on how to do sociolinguistics with corpus linguistics per se, it will direct the researcher to the right resources. Finally, the thought provoking “reflective breaks” and the numerous examples of studies will stimulate younger students and make sociolinguistic research more appealing, while suggesting new research questions to the more advanced students or researchers.' - Irene Checa-Garcia, University of Wyoming, The LINGUIST List
"This volume constitutes an invaluable resource both for students taking their first steps in the use of corpora as well as for more experienced researchers in the field. Although primarily intended as a guide to the use of corpora in sociolinguistic research, it is also one of the most lucid, well-researched and up-to-date introductions currently available to corpus linguistics itself, especially for those interested in corpus-assisted research into discourse." - Alan Partington, University of Bologna, International Journal of Corpus Linguistics 20:2 
"The volume offers more than it promises: it not only succeeds in providing and up-to-date account of using corpora in sociolinguistic research, but it also succeeds in providing reflective breaks, text samples, sample research questions, case studies, further readings, interviews, trivia, vignettes, discussion questions, activities and applications, which are stimulating resources both for students and non-students. Although it is primarily intended as a guide to corpus-based sociolinguistics in upper-level undergraduate and graduate courses, the book is also a must read for professional researchers who are interested in a current, wide-ranging overview of corpus-based sociolinguistic research. The authors successfully synthesize a representative body of studies, concepts, and tools in sociolinguistic research, as they weave their way through ha variety of topics, devices, and perspectives." - Pierfranca Forchini, Università Cattolica del Sacro Cuore, EuroAmerican Journal of Applied Linguistics and Languages 2:1

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"The scientific investigation of mathematical cognition is a relatively recent enterprise.  Compared with the interest and resources that have been invested in literacy skills, numerocity is a fledgling topic for scientific enquiry.  Yet in a short space of time, our knowledge has grown rapidly. This exceptionally comprehensive handbook brings together all the diverse approaches to the field.  These 27 essays are grouped into 5 sections that deal with number representations, cognitive procedures, development and learning of numerocity, and neuropsychology of number skills, both in youth and adults. Apart from such mainline research, the handbook is liberally spaced with diversions to more esoteric topics, such as the numerical abilities of pigeons. The editor is to be congratulated for his success in recruiting and coordinating such an authoritative group of contributors. ." -- Elizabeth Warrington, The Dementia Research Centre, National Hospital for Neurology and Neurosurgery"With recent advances in tracing cognitive processes and brain imaging, the structures of mathematical ability are now emerging in greater detail. In this handbook, the world's leading scientists describe their cutting-edge insights into the mental representations and skills that mediate mathematical calculation and estimation. Anyone interested in the nature of human development and skill acquisition should read this book.." -- K. Anders Ericsson, Florida State University

The Handbook of Mathematical Cognition

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Elementary Mathematics from a Higher Standpoint

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