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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!
This book is a sampling of the writing that Dr. Kim Sturdivant has created throughout her life. Most of the poems inside are observations regarding "parts" of life that constitute the "whole" of life, therefore the name of the book, "The Parts of the Whole".
Simple text and photographs introduce the concept of fractions, and how they can be used to share treats fairly.
This book is about fractions.
Simple text and photographs introduce the concept of fractions, and how they can be used to share treats fairly.
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.
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.
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.