A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress from recreational problems to important contemporary applications develop the critical-thinking skills of non-science and non-technical majors. The logical underpinnings of this textbook were developed and refined throughout many years of classroom feedback and in response to commentary from presentations at national conferences. The textas five units focus on graphs, logic, probability, voting, and cryptography. The authors also cover related areas, such as operations research, game theory, number theory, combinatorics, statistics, and circuit design. The text uses a core set of common representations, strategies, and algorithms to analyze diverse games, puzzles, and applications. This unified treatment logically connects the topics with a recurring set of solution approaches. Requiring no mathematical prerequisites, this book helps students explore creative mathematical thinking and enhance their own critical-thinking skills. Students will acquire quantitative literacy and appreciation of mathematics through the textas unified approach and wide range of interesting applications.often are given as percentages (there is a 10% chance), or as proportions (there is a 1 out of 10 chance, which is shown as 110 or 0.10), or as odds (the odds are 9 to 1 against: nine chances of losing for every one chance of winning). ... Because it is not economical to test all the hard drives, the empirical probability obtained from a sample is only an approximation to the true or theoretical probability.
|Title||:||Puzzles, Paradoxes, and Problem Solving|
|Author||:||Marilyn A. Reba, Douglas R. Shier|
|Publisher||:||CRC Press - 2014-12-15|