As you will see, The Teaching Gap compares mathematics instruction in the United States, Japan, and Germany on the basis of data collected through the Third International Mathematics and Science Study (TIMSS). You might be surprised (or not) that the United States does not compare favorably. But it is important that you understand that The Teaching Gap is not about a contest. Rather it is about trying to learn more about ourselves by examining instruction in other countries. As Stigler and Hiebert say repeatedly, mathematics instruction is a cultural phenomenon, and coming to understand one's culture is like a fish coming to understand water. A creature cannot even notice its all-pervasive environment until it experiences life outside it. Our educational culture is so all-pervasive that there are important aspects of it that we cannot notice without experiencing cultures in which they are different. So, please read The Teaching Gap in that spirit -- as an attempt to help us step out of our culture of mathematics teaching in order to examine it more objectively.
Please respond to these questions after reading The Teaching Gap.