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For Teachers

Many students tend to memorize formulas that we use in geometry or other mathematics areas without much understanding. For example, most students know the formula for the circumference and area of a circle, but they never really understand where they come from and why Pi exists in the formulas for the area and circumference of a circle. Or students can calculate the mean, median, and standard deviation of a variable of the sample, but they may not understand central tendency and variance and have trouble interpreting the results from the statistical analysis. 

The lessons on this web site go back to the basics of mathematics with the hope that students can build a more concrete understanding about their learning of mathematics. To motivate students, many activities are connected to daily life so that students can see the value of doing mathematical activities. In addition, various technologies are incorporated in the lessons to help students visualize, explore, and manipulate mathematics. 

While students take the responsibility for their learning, teachers still play an indispensable role in creating a rich learning environment, leading discussion, and scaffold student's construction of important mathematical ideas. In stead of teaching the concepts directly to the students, we hope that you provide opportunities for your students to formulate their conjectures, test their theories, and communicate with their peers. Sometimes, you may find it helpful to pause a little bit and let your students digest the material. 

Finally, the lessons are not just for the students. We hope that you can also learn some new ideas and techniques and apply them to your teaching. After all, your knowledge and beliefs about mathematics are critical to your effectiveness and how you access student's learning has a profound impact on student's beliefs about the nature of mathematics and their learning behavior.