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The format of Mental Arithmetic differs from that of traditional mental arithmetic materials in that pupils read the questions themselves, use rough paper for workings out, and write down their answers. It provides intensive practice in all areas of the maths curriculum.
This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, i.e., the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely known realism and anti-realism. Non-realism is characterized by the rejection of a central assumption shared by many realists and anti-realists, i.e., the assumption that mathematical statements purport to refer to objects. The defense of their main argument for the thesis that arithmetic lacks ontology brings the authors to discuss also the controversial contrast between pure and empirical arithmeti...
First Mental Arithmetic provides carefully graded questions that develop children's essential mathematics skills. A downwards extension of the Schofield & Sims bestseller Mental Arithmetic, the books contain a Language of Maths glossary to develop number vocabulary and three check-ups assess understanding.
“Inspiring and informative...deserves to be widely read.” —Wall Street Journal “This fun book offers a philosophical take on number systems and revels in the beauty of math.” —Science News Because we have ten fingers, grouping by ten seems natural, but twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages. Paul Lockhart presents arithmetic not as rote manipulation of numbers—a practical if mundane branch of knowledge best suited for filling out tax forms—but as a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divid...
Modern School Arithmetic, A Time-Tested Series Is Now Designed To Cover The School Requirements Of The Pre-Primary And Primary Schools. Books 1 To 5 Have Been Recently Revised To Suit The Present Day Needs Of The Teaching-Learning Process In Arithmetic. An Attractive And Colourful Book 0 Has Been Added To The Series. The Series Now Comes In A New User-Friendly, Colourful Format. The Unique Feature Of The Series Which Were The Rich Range Of Statement-Sums Has Been Reinforced To Help Children Master Computing Skill And Concept-Learning. Each Book Now Contains Additional Of Worked Out Problems, Exercises And Graded Revision Tests.
Based on the encoding process, arithmetic codes can be viewed as tree codes and current proposals for decoding arithmetic codes with forbidden symbols belong to sequential decoding algorithms and their variants. In this monograph, we propose a new way of looking at arithmetic codes with forbidden symbols. If a limit is imposed on the maximum value of a key parameter in the encoder, this modified arithmetic encoder can also be modeled as a finite state machine and the code generated can be treated as a variable-length trellis code. The number of states used can be reduced and techniques used for decoding convolutional codes, such as the list Viterbi decoding algorithm, can be applied directly...
From trusted primary education expert Andrew Brodie, the Let's Do... series is the ideal home learning resource for children. Expertly designed to meet all the demands of the National Curriculum, the workbooks provide all the practice children need to build their confidence and boost their ability. _______________ Matched to the demands of the National Curriculum and the arithmetic tests at Key Stages 1 and 2, the Let's Do Arithmetic workbooks have been carefully devised to match the appropriate age and stage of your child. Each book contains 40 tests, which become progressively more challenging throughout to ensure progress can be made. With a recording chart for checking progress and full answers to aid your assessment, this book is the perfect way to test understanding of basic arithmetic concepts and prepare for the timed National Tests that your child will be encountering in school.