Practice Arithmetic And Number Theory
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Practice Arithmetic And Number Theory
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Author : Cleo Borac
language : en
Publisher:
Release Date : 2013-12-21
Practice Arithmetic And Number Theory written by Cleo Borac and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with categories.
About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as AMC-8, AMC-10, Math Kangaroo in USA, Math Leagues, USAMTS, or AIME? This series will open the doors to consistent performance. About Level 3 This level of the series is designed for students who can solve linear equations, are fluent with fractions, and can factor into primes. The problem sets are designed to strengthen specific areas where we know students have difficulty on AMC-8 and AMC-10. The level 2 books are a strong preparation for AMC-8 and a partial preparation for AMC-10 and AIME. Level 2 consists of: Word Problems (volume 9), Arithmetic and Number Theory (volume 10), Operations and Algebra (volume 11), Geometry (volume 12), and Combinatorics (volume 13). On the contest list for this level: MATHCOUNTS, Math Kangaroo levels 5-6 and 7-8, MOEMS-M, Purple Comet, AMC-8, AMC-10. The computational complexity makes these problem sets useful for preparing the AIME in the long run. About Volume 10 - Arithmetic and Number Theory The problem sets reflect the use of the most elementary facts of number theory in challenging ways. Instead of imitating contest problems, we have focused on presenting questions that explore the nuts and bolts used to create problems. This volume is particularly suitable for young students who aim to do well on AIME in later years and have the patience to explore the elementary facts of number theory in depth. We continue in level 4 with more advanced number theory. Fluency with order of operations and the ability to handle simple algebraic expressions are pre-requisites.
Number Theory Modular Arithmetic
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Author : Xing Zhou
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-03
Number Theory Modular Arithmetic written by Xing Zhou and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03 with categories.
Remainder does not seem to be a big topic in school math. However, in competition math, it is. Almost every contest at middle school and high school level has remainder related problems. For example, in 2017 AMC 10B, out of total 25 problems, at least 3 are related to this topic: the 14th, 23rd, and 25th. Modular arithmetic is a branch in mathematics which studies remainders and tackles related problems. However, this important subject is not taught in schools. Consequently, many students rely on their intuition when attempting to solve such problems. This is clearly not the best situation. This book aims to provide a complete coverage of this topic at the level which is suitable for middle school and high school students. Contents will include both theoretical knowledge and practical techniques. Therefore, upon completion, students will have a solid skill base to solve related problems in math competitions. More information, including table of contents, pre-assessment etc, can be found at http: //www.mathallstar.org/
The Practice Of Mathematics
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Author : Yvette Solomon
language : en
Publisher: Routledge
Release Date : 2013-08-21
The Practice Of Mathematics written by Yvette Solomon and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-21 with Psychology categories.
The psychological description and explanation of how children learn to work with numbers is dominated by the theories of Piaget. Yvette Solomon suggests an alternative approach to the child's conception of number.
Number Shape Symmetry
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Author : Diane L. Herrmann
language : en
Publisher: CRC Press
Release Date : 2012-10-18
Number Shape Symmetry written by Diane L. Herrmann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Mathematics categories.
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
Excursions In Number Theory Algebra And Analysis
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Author : Kenneth Ireland
language : en
Publisher:
Release Date : 2023
Excursions In Number Theory Algebra And Analysis written by Kenneth Ireland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
This textbook originates from a course taught by the late Ken Ireland in 1972. Designed to explore the theoretical underpinnings of undergraduate mathematics, the course focused on interrelationships and hands-on experience. Readers of this textbook will be taken on a modern rendering of Ireland's path of discovery, consisting of excursions into number theory, algebra, and analysis. Replete with surprising connections, deep insights, and brilliantly curated invitations to try problems at just the right moment, this journey weaves a rich body of knowledge that is ideal for those going on to study or teach mathematics. A pool of 200 'Dialing In' problems opens the book, providing fuel for active enquiry throughout a course. The following chapters develop theory to illuminate the observations and roadblocks encountered in the problems, situating them in the broader mathematical landscape. Topics cover polygons and modular arithmetic; the fundamental theorems of arithmetic and algebra; irrational, algebraic and transcendental numbers; and Fourier series and Gauss sums. A lively accompaniment of examples, exercises, historical anecdotes, and asides adds motivation and context to the theory. Return trips to the Dialing In problems are encouraged, offering opportunities to put theory into practice and make lasting connections along the way. Excursions in Number Theory, Algebra, and Analysis invites readers on a journey as important as the destination. Suitable for a senior capstone, professional development for practicing teachers, or independent reading, this textbook offers insights and skills valuable to math majors and high school teachers alike. A background in real analysis and abstract algebra is assumed, though the most important prerequisite is a willingness to put pen to paper and do some mathematics.
Practice By Subject
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Author : Xing Zhou
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-12-03
Practice By Subject written by Xing Zhou and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-03 with categories.
Practice makes perfect. This book contains over 150 MOD related problems with complete solutions aiming to polish students' competition skills. It also contains a review chapter which highlights all the important concepts, theorems and techniques.It is recommended that reader should use this book together with the book Number Theory (MOD) which is also part of the Math All Star series. Additional information can be found online at https: //www.mathallstar.org
Arithmetic Both In The Theory And Practice
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Author : John Hill
language : en
Publisher:
Release Date : 1765
Arithmetic Both In The Theory And Practice written by John Hill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1765 with Arithmetic categories.
Practice Combinatorics And Probability
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Author : Cleo Borac
language : en
Publisher:
Release Date : 2016-02-09
Practice Combinatorics And Probability written by Cleo Borac and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-09 with categories.
About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as AMC-8, AMC-10, Math Kangaroo in USA, Math Leagues, USAMTS, or AIME? This series will open the doors to consistent performance. About Level 3 This level of the series is designed for students who can solve linear equations, are fluent with fractions, and can factor into primes. The problem sets are designed to strengthen specific areas where we know students have difficulty on AMC-8 and AMC-10. The level 3 books are a strong preparation for AMC-8 and a partial preparation for AMC-10 and AIME. Level 3 consists of: Word Problems (volume 9), Arithmetic and Number Theory (volume 10), Operations and Algebra (volume 11), Geometry (volume 12), and Combinatorics (volume 13). On the contest list for this level: MATHCOUNTS, Math Kangaroo levels 5-6 and 7-8, MOEMS-M, Purple Comet, AMC-8, AMC-10. Their complexity makes these problem sets useful for preparing the AIME in the long run. About Volume 13 - Combinatorics and Probability This workbook presents a variety of problems that explore the most basic discrete counting techniques: permutations and combinations. The topics included are competition specific.
Practice Word Problems
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Author : Cleo Borac
language : en
Publisher:
Release Date : 2013-08-25
Practice Word Problems written by Cleo Borac and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-25 with categories.
About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, AMC-8, Math Kangaroo in USA, or MATHCOUNTS? This series will open the doors to consistent performance. About Level 3 This level of the series is designed for students who can solve linear equations, are fluent with fractions, and can factor into primes. The problem sets are designed to strengthen specific areas where we know students have difficulty on AMC-8 and AMC-10. The level 2 books are a strong preparation for AMC-8 and a partial preparation for AMC-10. Level 2 consists of: Word Problems (volume 9), Operations and Algebra (volume 10), Arithmetic and Number Theory (volume 11), and Combinatorics (volume 12). On the contest list for this level: MATHCOUNTS, Math Kangaroo levels 5-6 and 7-8, MOEMS-M, Purple Comet, AMC-8. The computational complexity makes these problem sets useful for preparing AIME in the long run. About Volume 9 - Word Problems The problem sets offer a variety of applications of fractions, decimals and percentages. Some of the most dreaded categories of problems are thoroughly represented: mixtures, rates, and problems that engage comprehension. Mixture problems are among the problems that are underrepresented in other resources while being some of the more challenging word problems on AMC-10. The computational complexity familiarizes students with AIME level problems, albeit the easier problems on AIME. The full solutions provide insight in the optimal order of operations and a thorough description of the solving strategies.
Number Power Unlock Math With Arithmetic Practice
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Author : J. K. Boyle
language : en
Publisher:
Release Date : 2020-03-26
Number Power Unlock Math With Arithmetic Practice written by J. K. Boyle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-26 with Education categories.
Unlock mathematics - master mental arithmetic. Number Power offers over 20,000 arithmetic questions in all four arithmetic functions. Being good at mental arithmetic may not make you a math prof but there are no math PhDs who are bad at arithmetic. Strong mental arithmetic skills remove cognitive obstacles and free you to concentrate on deeper learning. They speed up reasoning and problem solving, and they efficiently optimize your focus and effort. A school curriculum of problem-solving and guided, discovery-based learning in Math is great in theory but what if student success depends on skills that aren't directly taught or mastered? Without those mental arithmetic skills encoded in long-term memory in the brain's cortex, learners are stuck using working memory in the prefrontal area of the brain and immediately overloaded. They're too busy trying to mentally count, list, sort and remember numbers to get to the math concepts. Getting turned off math is about more than losing out on the enjoyment and satisfaction of the subject. It can mean being cut off from higher learning and being denied opportunities that depend on maths and science. Feelings of incompetence in one part of life become transferred to other areas too. Success is earned through the habit and routine of practice, repetition, review and testing. Companies like Kumon have persuaded parents that mastering mental arithmetic is a key part of a child's success in school generally. Number Power recognizes that power of practice and routine, but without the $80 plus per month tuition plus fees, or the scheduling, transport and attendance commitments. Each day's 10-15 min exercise from Number Power leads and supports the learner en route to the tests at the end of each section. Number Power also has a how-to guide, pointers on techniques that work, and answer keys.