PUNCHLINE Problem Solving • 2nd Edition 
"volume," "variable," "equation," "percent," "ratio," and many others. They also need to learn strategies and procedures for applying these concepts. It might be said that each student needs a tool box full of mathematical ideas, so that when confronted with a problem, (s)he can reach in and find the right tool, a relevant concept or appropriate strategy. We are trying to help every student build a richer tool box! KNOWLEDGE OF RESULTS. Students appreciate feedback and confirmation when they work, especially when learning new skills. Built into these puzzles are various devices for giving the student immediate feedback as exercises are completed. For example, if an answer is not in the scrambled answer list or code, the student knows it is incorrect. (S)he can try again or ask for help. Teachers are able to spend more time helping students who

need help and less time confirming correct answers. Students work with greater confidence. MOTIVATING GOALS FOR STUDENTS. When Do Super Heroes Use Decimals? Each puzzle title is an engaging riddle. Students construct the punchline in the process of checking their answers. The humor acts as an incentive, because the students are not rewarded with the punchline until they complete the exercises. While students may wonder aloud who thinks of such dumb jokes, they secretly enjoy them and look forward to solving the puzzles. The humor has a positive effect on class morale. In addition, discovering the punchline gives the student a satisfying sense of closure and success. Incidentally, "In a tenths situation." Punchline Problem Solving includes puzzles for most topics in today's middle school math programs. They are organized into 14 sections that correspond to chapters in many textbooks. Twentytwo of the puzzles are for cooperative groups of either 2 or 4 students. Each puzzle is designed for a specific topic listed in the Table of Contents and on the puzzle itself. Many puzzles provide space for student work. And, hopefully, their selfcorrecting feature will lighten the burden of correcting assignments.
