Each easy-to-implement project includes background information for the teacher, project goals, math skills needed, a student guide with tips and strategies, and reproducible worksheets. Projects are designed to help students meet the National Council of Teachers of Mathematics Standards and Focal Points, and chapters are organized to show how math relates to language, arts, science, etc.--demonstrating the importance of math in all areas of real life. In Part I, Chapter 1 offers an overview of how to incorporate math projects in the classroom. Chapter 2 provides a variety of classroom management suggestions, as well as teaching tips, and Chapter 3 offers ways teachers may evaluate project work. Each chapter also contains several reproducibles that are designed to help students master the procedural skills necessary for effective collaboration while working on projects. Part II, "The Projects," is divided into six separate sections: Section 1. Math and Science Section 2. Math and Social Studies Section 3. Math and Language Section 4. Math and Art and Music Section 5. Math and Fun and Recreation Section 6. Math and Life Skills
Treasury of 300 puzzles features 3D and chess puzzles, connections, dissections, foldings, geometrical and number puzzles, logic problems, matchstick puzzles, mazes, moving pieces, put-togethers, strimkos, sudoku, and visual and word puzzles.
For centuries, logic puzzles have entertained, inspired and educated kids of all ages. Studies show these engaging "brain teasers" provide unsurpassed benefits to the body and mind, increasing manual dexterity, mathematical abilities and overall intellectual agility. Crafting Wood Logic Puzzles provides plans and instructions for crafting 18 of the most popular manual puzzles. Projects range from traditional "put together/take apart" games like pentominoes and soma cubes to more sophisticated "unlocking" head-scratchers, such as the Burr and Heart Box puzzles. Readers will also learn specialized cutting, drilling, sanding, gluing and finishing techniques that make crafting wooden puzzles possible.
This textbook covers a diversity of topics in graph and network theory, both from a theoretical standpoint, and from an applied modelling point of view. Mathematica® is used to demonstrate much of the modelling aspects. Graph theory and model building tools are developed in tandem with effective techniques for solving practical problems via computer implementation. The book is designed with three primary readerships in mind. Individual syllabi or suggested sequences for study are provided for each of three student audiences: mathematics, applied mathematics/operations research, and computer science. In addition to the visual appeal of each page, the text contains an abundance of gems. Most chapters open with real-life problem descriptions which serve as motivation for the theoretical development of the subject matter. Each chapter concludes with three different sets of exercises. The first set of exercises are standard and geared toward the more mathematically inclined reader. Many of these are routine exercises, designed to test understanding of the material in the text, but some are more challenging. The second set of exercises is earmarked for the computer technologically savvy reader and offer computer exercises using Mathematica. The final set consists of larger projects aimed at equipping those readers with backgrounds in the applied sciences to apply the necessary skills learned in the chapter in the context of real-world problem solving. Additionally, each chapter offers biographical notes as well as pictures of graph theorists and mathematicians who have contributed significantly to the development of the results documented in the chapter. These notes are meant to bring the topics covered to life, allowing the reader to associate faces with some of the important discoveries and results presented. In total, approximately 100 biographical notes are presented throughout the book. The material in this book has been organized into three distinct parts, each with a different focus. The first part is devoted to topics in network optimization, with a focus on basic notions in algorithmic complexity and the computation of optimal paths, shortest spanning trees, maximum flows and minimum-cost flows in networks, as well as the solution of network location problems. The second part is devoted to a variety of classical problems in graph theory, including problems related to matchings, edge and vertex traversal, connectivity, planarity, edge and vertex coloring, and orientations of graphs. Finally, the focus in the third part is on modern areas of study in graph theory, covering graph domination, Ramsey theory, extremal graph theory, graph enumeration, and application of the probabilistic method.
Increase achievement and engagement for all students in 21st century classrooms! Project-based learning has emerged as one of today’s most effective instructional practices. In PBL, students confront real-world issues and problems, collaborate to create solutions, and present their results. This exciting new book describes how PBL fosters 21st century skills and innovative thinking. The author provides instructional strategies, assessment methods, and detailed instruction on how to: Design projects for various content areas across all grade levels Integrate technology throughout the learning process Use Khan Academy, webquests, wikis, and more to foster deeper conceptual learning Build social learning networks Differentiate instruction by scaffolding supports for the learning process
Joe Celko's SQL Puzzles and Answers, Second Edition, challenges you with his trickiest puzzles and then helps solve them with a variety of solutions and explanations. Author Joe Celko demonstrates the thought processes that are involved in attacking a problem from an SQL perspective to help advanced database programmers solve the puzzles you frequently face. These techniques not only help with the puzzle at hand, but also help develop the mindset needed to solve the many difficult SQL puzzles you face every day. This updated edition features many new puzzles; dozens of new solutions to puzzles; and new chapters on temporal query puzzles and common misconceptions about SQL and RDBMS that leads to problems. This book is recommended for database programmers with a good knowledge of SQL. - A great collection of tricky SQL puzzles with a variety of solutions and explanations - Uses the proven format of puzzles and solutions to provide a user-friendly, practical look into SQL programming problems - many of which will help users solve their own problems - New edition features: Many new puzzles added!, Dozens of new solutions to puzzles, and using features in SQL-99, Code is edited to conform to SQL STYLE rules, New chapter on temporal query puzzles, New chapter on common misconceptions about SQL and RDBMS that leads to problems
Discover the educational power of puzzle-based learning. Understand the principles of effective game design, the power of well-crafted narratives and how different game mechanics can support varied learning objectives. Applying escape room concepts to the classroom, this book offers practical advice on how to create immersive, collaborative learning experiences for your students without the need for expensive resources and tools. Packed with examples, including a full sample puzzle game for you to use with your students, this book is a primer for classroom teachers on designing robust learning activities using problem-solving principles.
