Corpus-linguistic applications: Current studies, new by Stefan Th Gries, Stefanie Wulff, Mark Davies

By Stefan Th Gries, Stefanie Wulff, Mark Davies

This quantity presents an outline of 4 presently booming components within the self-discipline of corpus linguistics. the 1st part is worried with reports of the background and improvement of morphological and syntactic phenomena in English, Spanish, and Mandarin chinese language. the second one part comprises case experiences investigating the capabilities and contexts of use of other morphological and syntactic kinds in English, Spanish, Russian, and Mandarin chinese language. The 3rd part comprises experiences within the box of style and sign up from settings as diversified as overall healthiness, name heart, educational, and criminal discourse. the ultimate part positive aspects papers refining present, and exploring new, corpus-linguistic equipment: dispersions, textual content mining, corpus similarity, in addition to the advance of extraction styles and the evaluate of tagging tools.

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Integers and Theory of Numbers by Abraham A. Fraenkel

By Abraham A. Fraenkel

A concise paintings on very important subject matters in quantity thought, this vintage textual content used to be devised through a in demand mathematician to give an explanation for the necessities of arithmetic in a way available to school and school scholars in addition to to different readers. straight forward causes hide normal numbers as cardinals, with discussions of positional notation and the ordering of numbers in response to significance; common numbers as ordinals, together with Peano's axioms and the relation of ordinals to cardinals; the speculation of numbers, encompassing top numbers and their distribution, walls of the circle, Fermat's basic and final theorems, excellent numbers, amicable numbers, and algebraic and excellent numbers; and rational numbers, with issues of confident fractions, destructive integers, and the sector of rationals. 1955 ed.

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Aspects of Teaching Secondary Mathematics: Perspectives on by Linda Haggarty

By Linda Haggarty

If inexperienced persons within the school room are to be serious about arithmetic, academics must be either good knowledgeable approximately present tasks and ready to see how what's anticipated of them may be translated into wealthy and stimulating school room ideas.

The publication examines present projects that have an effect on educating arithmetic and identifies guidelines for motion within the school room. Divided into 3 significant sections, it seems to be at:

  • the altering arithmetic lecture room at basic, secondary and tertiary level
  • major parts of the secondary curriculum
  • practical pedagogical problems with specific hindrance to arithmetic lecturers.

Each factor is explores when it comes to significant underpinnings and study in that zone, and sensible principles could be drawn from the textual content and carried out within the reader's lecture room perform. every one bankruptcy has been written via a well-respected author, researcher and practitioner of their box and all proportion a typical objective: to seem thoughtfully and intelligently at a few of the functional concerns dealing with arithmetic academics and supply their views on these issues.

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Symbols and Meanings in School Mathematics by David Pimm

By David Pimm

Symbols and Meanings in class Mathematics explores a few of the makes use of and facets of symbols in class arithmetic and in addition examines the thought of mathematical which means. it's involved in the ability of language which permits us to do arithmetic, giving us the power to call and rename, to rework names and to exploit names and outlines to conjure, speak and regulate our photographs. it truly is within the interaction among language, snapshot and item that arithmetic is created and will be communicated to others. The publication additionally addresses a collection of questions of specific relevance to the decade of the 20 th century, which come up a result of proliferation of machines supplying mathematical functioning.

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Sociocultural Research on Mathematics Education: An by Bill Atweh, Helen Forgasz, Ben Nebres

By Bill Atweh, Helen Forgasz, Ben Nebres

This volume--the first to collect learn on sociocultural features of arithmetic education--presents modern and foreign views on social justice and fairness matters that effect arithmetic schooling. particularly, it highlights the significance of 3 interacting and robust factors--gender, social, and cultural dimensions. Sociocultural study on arithmetic schooling: a global Perspective is unusual in numerous methods:

* it truly is study dependent. Chapters file on major learn tasks; current a complete and important precis of the examine findings; and supply a severe dialogue of study equipment and theoretical views undertaken within the area.
* it truly is destiny orientated, featuring techniques for perform and coverage and picking out components for extra examine.
* It offers with all elements of formal and casual arithmetic schooling and functions and all degrees of formal schooling.

because the context of arithmetic schooling swiftly changes-- with an elevated call for for mathematically literate citizenship; an elevated wisdom of problems with fairness, inclusivity, and responsibility; and elevated efforts for globalization of curriculum improvement and research-- questions are being raised greater than ever sooner than in regards to the difficulties of educating and studying arithmetic from a non-cognitive technological know-how standpoint. This ebook contributes considerably to addressing such matters and answering such questions. it really is specifically proper for researchers, graduate scholars, and policymakers within the box of arithmetic education.

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Math Made Visual: Creating Images for Understanding by Roger Nelsen, Claudi Alsina

By Roger Nelsen, Claudi Alsina

Usually, the way to educate an evidence is via drawing a picture that illustrates the information. whereas arithmetic relies on summary ideas, people are creatures whose instinct is essentially in response to pictures. This ebook describes some ways within which techniques should be visually represented and those photos actually are worthy 1000 symbols. half I contains twenty chapters, that are called:

*) Representing numbers by way of graphical elements
*) Representing numbers by means of lengths of segments
*) Representing numbers by way of components of airplane figures
*) Representing numbers through volumes of objects
*) choosing key elements
*) utilising isometry
*) using similarity
*) Area-preserving transformations
*) Escaping from the plane
*) covering tiles
*) twiddling with a number of copies
*) Sequential frames
*) Geometric dissections
*) relocating frames
*) Iterative procedures
*) Introducing colors
*) Visualization via inclusion
*) Ingenuity in 3D
*) utilizing 3D models
*) Combining techniques

Each bankruptcy has numerous sections the place a selected form of challenge is tested in each one part. for instance, the 3 sections of bankruptcy 1 are:

*) Sums of wierd integers
*) Sums of integers
*) Alternating sums of squares

Each bankruptcy terminates with a bit referred to as "challenges", that is a suite of difficulties which are to be solved by means of developing photographs just like these confirmed within the bankruptcy. tricks and options to those difficulties are supplied in an appendix. half II of the e-book is named "Visualization within the lecture room" and is a brief historical past of visualization and an illustration of ways actual items can be utilized to demonstrate the strategies.
this can be an exceptional math e-book, demonstrating many of the best possible thoughts that may be used to advance and clarify an explanation. it's not attainable to exploit a diagram to provide each mathematical facts that you could be clarify for your scholars. despite the fact that, it may be performed extra usually than you'll notice, so i like to recommend that every one lecturers of arithmetic learn this booklet, you probably will discover a gem so you might use.

Published in magazine of leisure arithmetic, reprinted with permission.

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Planning for retail development : a critical view of the by Clifford Guy

By Clifford Guy

Written by means of a number one professional within the box, this can be the 1st thorough serious assessment of retail making plans coverage in Britain (including Scotland and Wales). It covers contemporary adjustments in executive coverage and information, and examines retail coverage inside a broader fiscal and social context.

Planning for Retail Development explains key occasions and debates within the evolution of retail making plans coverage, at valuable and native executive degrees, because the Sixties and attracts contrasts among the Nineteen Eighties, a interval during which retail builders have been inspired via valuable govt to extend clear of city centres, and the newer emphasis on security and advertising of city centres because the best suited situation for brand spanking new improvement.

The booklet develops a severe assessment of prior and current retail making plans regulations, dependent upon analyses of shops’ goals and of standard buyer purchasing behaviour. Relationships among retail making plans and wider societal issues, together with sustainable improvement, social inclusion and concrete regeneration also are tested and analysed and instructions for destiny coverage ambitions and content material are drawn.

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