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10 practice tests (250 problems) for students who are preparing for high school mathematics contests such as American Mathematics Competitions (AMC-10/12), MathCON Finals, and Math Leagues. It contains 10 practice tests and their full detailed solutions. The authors, Sinan Kanbir and Richard Spence, have extensive experience of math contests preparation and teaching. Dr. Kanbir is the author and co-author of four research and teaching books and several publications about teaching and learning mathematics. He is an item writer of Central Wisconsin Math League (CWML), MathCON, and the Wisconsin section of the MAA math contest. Richard Spence has experience competing in contests including MATHCOUNTS®, AMC 10/12, AIME, USAMO, and teaches at various summer and winter math camps. He is also an item writer for MathCON.
This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.
The Contest Problem Book VI contains 180 challenging problems from the six years of the American High School Mathematics Examinations (AHSME), 1989 through 1994, as well as a selection of other problems. A Problems Index classifies the 180 problems in the book into subject areas: algebra, complex numbers, discrete mathematics, number theory, statistics, and trigonometry.
Get ready to take the Math Challenge! Singapore Math Challenge will provide second grade students with skill-building practice based on the leading math program in the world, Singapore Math! Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. -- Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics.
10 practice tests (250 problems) for students who are preparing for middle school math contests such as AMC 8/10, MathCOUNTS, and MathCON. It contains 10 practice tests and their full detailed solutions. The author, Dr. Sinan Kanbir, is the author and co-author of four research and teaching books and several publications about teaching and learning mathematics. He is an item writer of Central Wisconsin Math League (CWML), MathCON, and the Wisconsin section of the MAA math contest.
This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
A compilation of 325 problems and solutions for high school students. A valuable resource for any mathematics teacher.
The Alberta High School Mathematics Competition was the first and oldest in Canada to be run on a provincial scale. It started in 1957 and its fifty years can be broken down to three periods : ancient (1957-1966), medieval (1967-1983) and modern (1984-2006), which reflect what was taught in the schools of the day. The first two periods are primarily of historical interest. During the modern period, the problem committee was led by the well-known problemist Murray Klamkin, and composed many innovative and challenging problems. This book contains all the problems and answers for the first fifty years of the competition, up to 2005 / 2006 and full solutions are provided to those from the modern period, often supplemented with multiple solutions or additional commentaries.
The annual high school contests have been sponsored since 1950 by the Mathematical Association of America and the Society of Actuaries, and later by Mu Alpha Theta (1965), the National Council of Teachers of Mathematics (1967) and the Casulty Actuarial Society (1971). Problems from the contests during the periods 1950-1960 are published in Volume 5 of the New Mathematical Library, and those for 1966-1972 are published in Volume 25. This volume contains those for the period 1961-1965. The questions were compiled by C.T. Salkind, Chairman of the Committee on High School Contests during the period, who also prepared the solutions for the contest problems. Professor Salkind died in 1968. In preparing this and the other Contest Problem Books, the editors of the NML have expanded these solutions with added alternative solutions.