### Department Philosophy

TVT Mathematics Department aims to instill habits of mathematical thinking that will prepare students for further inquiry in math and to attain the computational skills needed for everyday life. Students are taught to approach mathematics from multiple perspectives, including numerical, graphical and symbolic. In addition to simply satisfying the metrics of each course, the teachers will focus on student discovery through individual explorations. Students are encouraged to form learning groups that offer a natural context for practicing mathematical communication. Our students are not just highly skilled, but also demonstrate enthusiasm and clear understanding.

The goal of TVT Mathematics is for all students to study mathematics successfully at a pace and depth appropriate to their individual needs. The program is flexible in that it provides the challenge and interest necessary for those who want a sound mathematical background on which to base further study while satisfying the needs of students for whom mathematics is not their primary orientation. To this end, TVT Mathematics offers different tracks of courses to its students.

**Honors Track:** This track is built for the exceptional mathematics student who is capable of moving not only at a swift pace but also at incredible depth. Proof technique and advanced problem-solving skills are taught and problems are frequently approached first from the abstract level.

**AoPS Track:** The AoPS track is built for the exceptional mathematics student who is both capable and interested in exploring and executing the Mathematics curriculum from the perspective of depth. The AoPS approach favors very, very deep analytical approaches to topics in Mathematics, sometimes moving more slowly than Honors because of the depth of analysis expected from the student. AoPS track students are passionately committed to the study of Mathematics for its own sake and are intrigued by (and want to explore) critical problems in Mathematics.

The following chart shows the anticipated sequencing of mathematics at the middle school level (grade nine is also included in the table to show how each sequence transitions to upper school mathematics).

### Mathematics Placement

Because success in mathematics depends upon students sequentially mastering material, TVT Mathematics takes placement into its courses very seriously. Student placement is determined during Semester 2 by the entire department, which meets to discuss the individual needs of each student. Factors in placement decisions are student grades, standardized test results, teacher recommendation and, the results of placement tests.