Frederick County Public Schools utilizes a standards-based curriculum for all mathematics courses. Known as the Maryland College and Career Ready Standards, the Maryland State Board of Education adopted these standards by unanimous vote in June 2010.
Standards define what students should understand and be able to do in their study of mathematics. Asking a student to understand something also means asking a teacher to assess whether the student has understood it. But what does mathematical understanding look like? One way for teachers to assess student understanding is to ask the student to justify, in a way that is appropriate to the student’s mathematical maturity, why a particular mathematical statement is true or where a mathematical rule comes from.
Mathematical understanding and procedural skill are equally important, and both are assessable when students engage in the eight Mathematical Practices list below:
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.