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This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions.
This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.
Stump your friends and family with this fun, challenging math puzzle book! Who knew that math could be so cool? Crammed with games, puzzles, and trivia, The Everything Kids’ Math Puzzles Book puts the fun back into playing with numbers! If you have any fear of math—or are just tired of sitting in a classroom—The Everything Kids’ Math Puzzles Book provides hours of entertainment. You’ll get so caught up in the activities, you won’t even know you’re learning! Inside, you’ll be able to: -Decode hidden messages using Roman numerals -Connect the dots using simple addition and subtraction -Learn to create magic number squares -Use division to answer musical riddles -Match the profession to numerical license plates
Challenge students to think outside of the box! Supplement curriculum with creative math that will enhance students' abilities to problem solve, learn and apply strategies, and think critically. Answer keys are included.
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.
’Be warned: cracking puzzles releases a very addictive drug.’ – Marcus du Sautoy Have you ever wanted to be a puzzle pro or logical luminary? Well, look no further!
Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 4-5 details more than 50 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible.
Brain-boosting math puzzles for kids ages 8-12 Learning math is a blast with this awesome collection of interactive activities! Whether it's a cunning cryptogram waiting to be decoded or some sudoku that needs to be solved, these clever challenges will teach kids just how awesome and engaging math can be. Over the course of more than 100 math puzzles for kids ages 8-12, young learners will add, subtract, multiply, divide, and logic their way to the solutions for these mathematical marvels. They'll build the core math skills needed to succeed in school and beyond--while having tons of fun! This collection of math puzzles for kids ages 8-12 features: Different puzzle types--Kids will explore math from every angle with patterns, logic puzzles, sudoku, cryptograms, and more. Progressive challenges--Each chapter focuses on one type of puzzle, starting simple and getting harder as they go, helping kids avoid frustration and see how far they've come. Easy-to-follow instructions--Short and simple instructions make sure the only tough part of these math puzzles for kids ages 8-12 is figuring out the answer. Help kids build logical thinking skills with these amazing math puzzles for kids ages 8-12.
This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.
A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.