Bøger af Silviu Borac

A companion series to our "Competitive Mathematics for Gifted Students," the series "Math Challenges for Gifted Students" offers additional material in practice test form. The workbooks are useful for assessment and for development of testing skills. In full color and with fully explained solutions, the workbooks may be used as a fun introduction to problem solving.The workbook contains six 24-question tests. After each test, there is an answer key. The tests are followed by detailed solutions that outline various problem solving strategies appropriate for the respective age. The recommended time limit for each test is of 75 minutes.

A collection of SAT-like diagnostics with answer key, scoring guide, complete solutions and targeted drill practice. The problems address the needs of the students who aim for perfect score in math on the SAT Reasoning test. This volume contains only math, no writing/reading. There are no lessons in this book, only practice problems structured for self-grading: problem sets, answer keys, full solutions. Information for self-diagnostic includes difficulty level and topic for each problem. The book is not meant to be used independently for SAT preparation but as additional practice and diagnostic along with a 'core' book such as the Collegeboard blue book, Barron's, Princeton Review, and/or with the help of a tutor.

2nd Edition - 2014 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, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 2 This level of the series is designed for students who know the multiplication tables, integer division with remainder and basic operations with decimals. Our level 1 books explain concepts that may need review before attempting level 2. Level 2 books are suitable for preparing Math Kangaroo 3-4 and MOEMS-E. Many of the concepts presented, however, reach much farther into the AMC-8 level. Level 2 consists of: Word Problems (volume 5), Operations (volume 6), Arithmetic (volume 7), and Combinatorics (volume 8). About Volume 8 - Combinatorics We continue the study of counting from the level 1 books. We start introducing sets. The study of sets will continue over the next levels, each time introducing more concepts. We continue with a thorough practice of the last digit of a product or sum and we introduce applications of the Pigeonhole principle. Next, we introduce the notion of a factorial and apply it to arrangements. We conclude with a section on dominoes and square tables. This book is rich in strategies and variety.

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.

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 12 - Geometry This workbook is targeted at students who have not yet taken a standard geometry course. We explore a number of contest topics from an intuitive, hands-on perspective. The topics included are competition specific.

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 3 books are a strong preparation for AMC-8 and a partial preparation for AMC-10. Level 3 consists of: Word Problems, Operations and Algebra, Arithmetic and Number Theory, and Geometry. 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.

A companion series to our "Competitive Mathematics for Gifted Students," the series "Math Challenges for Gifted Students" offers additional material in practice test form. The workbooks are useful for assessment and for development of testing skills. In full color and with fully explained solutions, the workbooks may be used as a fun introduction to problem solving. The workbook contains six 30-question tests. After each test, there is an answer key. The tests are followed by detailed solutions that outline various problem solving strategies appropriate for the respective age. The recommended time limit for each test is of 75 minutes.

2nd Edition - 2014 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, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 2 This level of the series is designed for students who know the multiplication tables, integer division with remainder and basic operations with decimals. Our level 1 books explain concepts that may need review before attempting level 2. Level 2 books are suitable for preparing Math Kangaroo 3-4 and MOEMS-E. Many of the concepts presented, however, reach much farther into the AMC-8 level. Level 2 consists of: Word Problems (volume 5), Operations (volume 6), Arithmetic (volume 7), and Combinatorics (volume 8). About Volume 7 - Arithmetic This volume provides material for the practicing problems with combinations of digits, cryptarithms, repdigits, palindromes, digit sum and digit product, sequences, sums of consecutive numbers, divisibility rules and remainders. Divisibility rules are not proven at this level, only applied (proofs in level 3 books). For some students, it may be necessary to work on our level 1 books before attempting level 2.

2nd Edition - 2014 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, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 1 This level of the series is designed for students who know addition and subtraction with multi-digit numbers as well as simple multiplications of one-digit numbers. Some of the problems, however, involve advanced concepts and may be useful for older students. About Volume 2 - Observation and Logic The problems in this volume are based on contrast, surprise elements, and lateral thinking. They encourage students to give themselves more freedom in exploring the universe of each problem statement. Creative thinking is rewarded, but repetitive thinking is not. Advanced mathematical concepts are introduced in simplified forms. This book includes patterning and an elementary treatment of rates.

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. 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.

A companion series to our "Competitive Mathematics for Gifted Students," the series "Math Challenges for Gifted Students" offers additional material in practice test form. The workbooks are useful for assessment and for development of testing skills. In full color and with fully detailed solutions, the workbooks may be used as a fun introduction to competitive problem solving. However, the problems are a bit more difficult than actual Kangaroo problems, exploring a large number of known 'tips and tricks.' One could say it is much more concentrated in that, unlike actual exams, it has less 'filler' - almost every problem is 'tricky' and embodies a specific strategy. The material is excellent for training purposes and has been used by the authors in seminars with hundreds of the most gifted students in the Bay Area. The workbook contains six 24-question tests. After each test there is an answer key. The tests are followed by detailed solutions. The recommended time limit for each test is of 75 minutes. Students who have not been exposed to competitive problem solving will find this book extremely difficult and will need help from an adult. Without preparation, students who get 'A' in school generally score about 50 points out of 96 possible on Kangaroo level 1-2.