Ants, Bikes, and Clocks: Problem Solving for UndergraduatesMathematics educators agree that problem solving is one of the essential skills their students should possess, yet few mathematics courses or textbooks are devoted entirely to developing this skill. Supported by narrative, examples, and exercises, Ants, Bikes, and Clocks: Problem Solving for Undergraduates is a readable and enjoyable text designed to strengthen the problem-solving skills of undergraduate students. The book, which provides hundreds of mathematical problems, gives special emphasis to problems in context, often called story problems or modeling problems, that require mathematical formulation as a preliminary step. Both analytical and computational approaches, as well as the interplay between them, are included. This engaging book will strengthen students' mathematical skills, introduce them to new mathematical ideas, demonstrate the connectedness of mathematics, and improve both their analytical and computational problem solving. Students are encouraged to use the computer, or any tool at hand, for experimentation or to test their ideas. |
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Ants, Bikes, and Clocks: Problem Solving for Undergraduates William L. Briggs No preview available - 2005 |
Ants, Bikes, and Clocks: Problem Solving for Undergraduates William Briggs No preview available - 2005 |
Common terms and phrases
7-gallon jug amount analytical ANSWER ants approximation Assume at-bats average bagels balls batting average Bernoulli trials boat cards centimeters Chapter circle coffee constant rate counterfeit counts cyclist decreases determine difference equation distance traveled empty exam example exponential exponential growth feet Figure filled four fraction gallons George Pólya given HINT hits inches initial integer jug contains laps per minute left pan lockers mammogram mathematical maximum means miles per hour milk cup needed Newton's method one-child policy ounces outcomes pair partial sums percentage player Polly Pólya's method population positive probability problem solving pseudocode Pythagorean theorem Quinn radius random chord random numbers randomly result root runners pass sample space sequence side lengths simulation solution speed square strategy students who failed Suppose takes tank test coins train trial triangle trip v₁ volume walk Wheaties women Xn+1


