Students love math games and puzzles, but how much are they really learning from the experience? Too often, math games are thought of as just a fun activity or enrichment opportunity. Well Played shows you how to make games and puzzles an integral learning component that provides teachers with unique access to student thinking. The twenty-five games and puzzles in Well Played, which have all been field-tested in diverse classrooms, contain: - explanations of the mathematical importance of each game or puzzle and how it supports student learning; - variations for each game or puzzle to address a range of learning levels and styles; - clear step-by-step directions; and - classroom vignettes that model how best to introduce the featured game or puzzle. The book also includes a separate chapter with suggestions for how to effectively manage games and puzzles in diverse classrooms; reproducibles that provide directions, game boards, game cards, and puzzles; assessment ideas; and suggestions for online games, puzzles, and apps. Well Played will help you tap the power of games and puzzles to engage students in sustained and productive mathematical thinking.

Following on Well Played 1.0, this book is full of in-depth close readings of video games that parse out the various meanings to be found in the experience of playing a game. Contributors analyze sequences in a game in detail in order to illustrate and interpret how the various components of a game can come together to create a fulfilling playing experience unique to this medium. Contributors are again looking at video games in order to provide a variety of perspectives on the value of games.

Should we allow performance-enhancing substances in competitive athletics? The first book of its kind, Well Played answers this question by urging us to a deeper appreciation for the purpose of sport. Giving special reference to performance-enhancing substances, Shafer challenges the incompleteness of the ethical arguments and contributes a Christian voice to the discussion. He initiates a theological conversation that is both scholarly and accessible, arguing that a distinctively Christian understandingof sport will have far-reaching implications for how we treat ethical issues like doping. The values, beliefs, and practices within the Christian tradition show an alternative that prioritizes humility and friendship, grace and gratitude over the 'win atall costs' mentality that drives the use of performance-enhancing substances for a competitive advantage. This ground-breaking book ventures into new theological territory as it explores the intersections of theology, philosophy of sport, and the ethics of doping. Theologians, ethicists, and pastors, as well as coaches, athletes, and sports fans will benefit from this book's thoughtful reflection on how Christians can play well in the modern sports culture.

Students love math games and puzzles, but how much are they really learning from the experience? Too often, math games are thought of as just a fun activity or enrichment opportunity. Well Played, Grades K-2: Building Mathematical Thinking Through Number Games and Puzzles, shows you how to make games and puzzles an integral learning component that provides teachers with unique access to student thinking. The twenty-five games and puzzles in Well Played, Grades K-2 , which have all been field-tested in diverse classrooms, contain: • Explanations of the mathematical importance of each game or puzzle and how it supports student learning • Variations for each game or puzzle to address a range of learning levels and styles • Classroom vignettes that model how best to introduce the featured game or puzzle The book also includes a separate chapter with suggestions for how to effectively manage games and puzzles in diverse classrooms;game boards, game cards, and puzzles; assessment ideas; and suggestions for online games, puzzles, and apps. Well Played, Grades K-2 will help you tap the power of games and puzzles to engage students in sustained and productive mathematical thinking.

The return of the classic book on games and play that illuminates the relationship between the well-played game and the well-lived life. In The Well-Played Game, games guru Bernard De Koven explores the interaction of play and games, offering players—as well as game designers, educators, and scholars—a guide to how games work. De Koven’s classic treatise on how human beings play together, first published in 1978, investigates many issues newly resonant in the era of video and computer games, including social gameplay and player modification. The digital game industry, now moving beyond its emphasis on graphic techniques to focus on player interaction, has much to learn from The Well-Played Game. De Koven explains that when players congratulate each other on a “well-played” game, they are expressing a unique and profound synthesis that combines the concepts of play (with its associations of playfulness and fun) and game (with its associations of rule-following). This, he tells us, yields a larger concept: the experience and expression of excellence. De Koven—affectionately and appreciatively hailed by Eric Zimmerman as “our shaman of play”—explores the experience of a well-played game, how we share it, and how we can experience it again; issues of cheating, fairness, keeping score, changing old games (why not change the rules in pursuit of new ways to play?), and making up new games; playing for keeps; and winning. His book belongs on the bookshelves of players who want to find a game in which they can play well, who are looking for others with whom they can play well, and who have discovered the relationship between the well-played game and the well-lived life.

Students love math games and puzzles, but how much are they really learning from the experience? Too often, math games are thought of as just a fun activity or enrichment opportunity. Well Played, Grades 6-8: Building Mathematical Thinking Through Number and Algebraic Games and Puzzles shows you how to make games and puzzles an integral learning component that provides teachers with unique access to student thinking. This third book in the series helps you engage students in grades 6-8 in discussions of mathematical ideas and deepen their conceptual understanding. It also helps you develop students' fluency with number systems; ratio and proportional relationships; expressions and equations, statistics and probability; and patterns, graphs, and functions. The twenty-five games and puzzles in Well Played, Grades 6-8 which have all been field-tested in diverse classrooms, contain: Explanations of the mathematical importance of each game or puzzle and how it supports student learning. Variations for each game or puzzle to address a range of learning levels and styles Classroom vignettes that model how best to introduce the featured game or puzzle. The book also includes a separate chapter with suggestions for how to effectively manage games and puzzles in diverse classrooms; game boards, game cards, and puzzles; assessment ideas; and suggestions for online games, puzzles, and apps. Well Played, Grades 6-8 will help you tap the power of games and puzzles to engage students in sustained and productive mathematical thinking.

A typical source of mistakes that frequently lead to a wrong or incomplete solution for the antiderivative of a given real function of one real variable is a misuse of the technique of change of variable. The increasing implementation of software in apparently mechanic tasks such as the calculation of antiderivatives has not improved the situation, yet those software packages issue generic warnings such as 'the answer's is not guaranteed to be continuous' or 'the solution might be only valid for parts of the function'. The practical meaning of those vague machine messages is clearly envisaged in this book, which shows how to handle the technique of change of variable in order to provide correct solutions.This book is monographically focused on elementary antidifferentiation and reasonably self-contained, yet it is written in a 'hand-book' style: it has plenty of examples and graphics in an increasing level of difficulty; the most standard changes of variable are studied and the hardest theoretic parts are included in a final Appendix. Each practical chapter has a list of exercises and solutions.This book is intended for instructors and university students of Mathematics of first and second year.