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This book uses mathematical models of language to explain why there are certain gaps in language: things that we might expect to be able to say but can't. For instance, why can we say I ran for five minutes but not *I ran all the way to the store for five minutes? Why is five pounds of books acceptable, but *five pounds of book not acceptable? What prevents us from saying *sixty degrees of water to express the temperature of the water in a swimming pool when sixty inches of water can express its depth? And why can we not say *all the ants in my kitchen are numerous? The constraints on these constructions involve concepts that are generally studied separately: aspect, plural and mass reference, measurement, and distributivity. In this book, Lucas Champollion provides a unified perspective on these domains, connects them formally within the framework of algebraic semantics and mereology, and uses this connection to transfer insights across unrelated bodies of literature and formulate a single constraint that explains each of the judgments above.
In this fun-filled look at fractions, Brian P. Cleary and Brian Gable demonstrate how fractions work by splitting whole objects into parts. The comical cats of the wildly popular Words Are CATegorical® series divide everything from pieces of pizza to groups of people into halves, thirds, tenths, and more. Peppy rhymes, goofy illustrations, and kid-friendly examples take the fear out of fractions. From the author and illustrator duo of the best-selling Words Are CATegorical® series, Math Is CATegorical® introduces basic math concepts for young readers and reveals that sometimes math is easier to show than explain! Pairing clever rhyming verse with comical cartoon cats, Brian P. Cleary and Brian Gable help children add up just how fun math can be!
Simple text and photographs introduce the concept of fractions, and how they can be used to share treats fairly.
This explorative study gives a descriptive overview of what organizations do and experience when they say they practice design thinking. It looks at how the concept has been appropriated in organizations and also describes patterns of design thinking adoption. The authors use a mixed-method research design fed by two sources: questionnaire data and semi-structured personal expert interviews. The study proceeds in six parts: (1) design thinking¹s entry points into organizations; (2) understandings of the descriptor; (3) its fields of application and organizational localization; (4) its perceived impact; (5) reasons for its discontinuation or failure; and (6) attempts to measure its success. In conclusion the report challenges managers to be more conscious of their current design thinking practice. The authors suggest a co-evolution of the concept¹s introduction with innovation capability building and the respective changes in leadership approaches. It is argued that this might help in unfolding design thinking¹s hidden potentials as well as preventing unintended side-effects such as discontented teams or the dwindling authority of managers.
You may be surprised to learn how many individual parts make up the things around us. Do you know all the things that go into alphabet soup, a sandpit, or a clock? Can you imagine how lovely all the parts look when sorted and arranged side by side? You can't? Well then come with us and let an inquisitive cat named Ada show you what makes up lots of ordinary and special things and places.
A bee encounters objects and guesses what they might be. Children will use their imagination and develop logical thinking skills by following the bee through the story. Subject: connect parts to whole
Children’s Fractional Knowledge elegantly tracks the construction of knowledge, both by children learning new methods of reasoning and by the researchers studying their methods. The book challenges the widely held belief that children’s whole number knowledge is a distraction from their learning of fractions by positing that their fractional learning involves reorganizing—not simply using or building upon—their whole number knowledge. This hypothesis is explained in detail using examples of actual grade-schoolers approaching problems in fractions including the schemes they construct to relate parts to a whole, to produce a fraction as a multiple of a unit part, to transform a fraction into a commensurate fraction, or to combine two fractions multiplicatively or additively. These case studies provide a singular journey into children’s mathematics experience, which often varies greatly from that of adults. Moreover, the authors’ descriptive terms reflect children’s quantitative operations, as opposed to adult mathematical phrases rooted in concepts that do not reflect—and which in the classroom may even suppress—youngsters’ learning experiences. Highlights of the coverage: Toward a formulation of a mathematics of living instead of being Operations that produce numerical counting schemes Case studies: children’s part-whole, partitive, iterative, and other fraction schemes Using the generalized number sequence to produce fraction schemes Redefining school mathematics This fresh perspective is of immediate importance to researchers in mathematics education. With the up-close lens onto mathematical development found in Children’s Fractional Knowledge, readers can work toward creating more effective methods for improving young learners’ quantitative reasoning skills.
This book departs from the premise that context represents a complex relational configuration which can no longer be conceived as an analytic prime but rather requires a parts-whole perspective to capture its inherent dynamism. The edited volume presents a collection of papers which examine the connectedness between context, contextualization and entextualization. They address the questions how meaning and speech acts are situated in context, how both are influenced by context, how context influences speech acts and meaning, how context is imported into the discourse, and how context is entextualized in discourse. The papers cover institutional and non-institutional contexts, the language of Greek laws, political discourse, confrontational media discourse and task-oriented face-to-face and back-to-back interactions. They reflect current moves in pragmatics and discourse analysis to cross disciplinary and methodological boundaries by integrating relevant premises and insights, in particular cognition, adaptive action, negotiation of meaning, sequentiality, recipient design and genre.
Set in the future when "firemen" burn books forbidden by the totalitarian "brave new world" regime.
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0133548635. In this unique guide, classroom teachers, coaches, curriculum coordinators, college students, and teacher educators get a practical look at the foundational concepts and skills of early mathematics, and see how to implement them in their early childhood classrooms. Big Ideas of Early Mathematics presents the skills educators need to organize for mathematics teaching and learning during the early years. For teachers of children ages three through six, the book provides foundations for further mathematics learning and helps facilitate long-term mathematical understanding. The Enhanced Pearson eText features embedded video. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText for 40-65% less than a print bound book. * The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7” or 10” tablet, or iPad iOS 5.0 or later.