I previously wrote about transitioning from Standards Based Grading (SBG) to Standards Based Feedback (SBF). Here is a first pass at the policies. These will hopefully address Andy Rundquist’s question about grading.

In a nutshell, a student’s grade is determined by (roughly) the number of standards met. Slightly more detail is given in the list below, and an excerpt from the first draft of my syllabus provides even more detail below it.

I would appreciate feedback, ideas, and critiques. This is a first draft, and there must be many improvements that can be made.

- Homework (in the form of proofs) will be assigned regularly, but it will only be submitted for written feedback—no grades.
- Students will also have frequent (weekly?) opportunities for peer feedback on their proofs.
- Since I need to assign a grade at the end of the semester, the students will need to reflect on how their homework has demonstrated understanding of the course standards. They will assemble well-written, correct homework in a portfolio that summarizes how they met the standards for the semester.
- The portfolio will also contain the student’s favorite three proofs for the semester. These should be correct and well-written. Ideally, the students will also have other reasons for including them—perhaps they worked really hard on the particular proofs, found them surprising, or found them particularly interesting.
- Also in the portfolio will be a cover sheet cataloging the homework assignments that correspond to each standard.
- The portfolio will contain a self-evaluation. We will take class time in the beginning of the semester to discuss what constitutes a good proof, and the syllabus (see below) details how the portfolio will be graded. The student will have to do an honest self-evaluation of the portfolio.
- At midsemester, students will need to submit a trial portfolio (thanks, Joss). This will be done for credit—students either get 100% on this assignment or 0%. The purpose for this is to give students a practice run at this unusual form of grading—I don’t want their first experience with it to be high-stakes.
- There will also be at least one traditional graded midterm (the students will decide how many) and a final.
- There will be at least one ungraded, feedback-only midterm.

*Syllabus Excerpt*

**Homework**

You will be given a selection of homework problems to do each night. You are encouraged to work with other people, but you must write up your own solutions.

There are three levels to handing in homework.

- Once per cycle, you can hand in three proofs for me to look at; these proofs should be considered drafts, not final papers. I will give you comments on what you did well and what you need to improve upon in your next draft. I will give you only feedback on how to improve; I will not give you a grade.
- There will frequently be an opportunity for peer feedback of the proofs in class. Your classmates will give you feedback on the quality of your proof, and you will do the same to their proofs.
- At two points in the semester, you will hand in proofs to be graded. See the grading section below.

Basically, I want you to have very good proofs by the time they are assigned a grade, and I am going to help you improve your homework (without any penalty) until then.

This homework should be mostly done in , if only for the very practical reason that you will be re-submitting drafts; instead of re-writing each draft by hand, you will be able to simply edit a computer file. You will put more time into creating the file at the beginning, but you will save time with each draft after that.

**Portfolio**

At the end of the semester, you should have a collection of completed homework problems. At the end of the semester, you will reflect on the problems you have done, organize your homework, and submit a selection of your completed homework assignments (called your “portfolio”) for a grade. At the end of the semester, you will literally create a physical portfolio of your best work.

Here is how you will select your portfolio:

- You will select all bits of homework that show evidence of the Course Topics (see the section above) and place them in the portfolio. You should have multiple proofs for those labelled “Core Topics;” you only need one proof to demonstrate evidence for the “Supporting Topics.”
- You will select your three Favorite Proofs and put them in the portfolio. These will be well-written according to the criteria discussed in class. Also, these may be proofs that you are particularly proud of.

There is a balancing act when deciding whether a proof goes into your portfolio. On one hand, you want to provide as much evidence for the Core Topics as possible (and some evidence for the Supporting Topics). Other the other hand, an incorrect or poorly-written proof is not counted as evidence and will weaken your portfolio. Part of your goal for the semester is to learn to determine what is a good proof and what is not, and use your judgment accordingly.

Here is how your portfolio will be graded.

A: All of your Favorite Proofs are well-written, complete, and concise. Well-written, complete, concise proofs are provided for all topics; many proofs demonstrate understanding of each core topics. There are no wrong or poorly-written proofs in the portfolio.

B: All of your Favorite Proofs are well-written, complete, and concise. Many well-written, complete, concise proofs are provided for all Core Topics. Most of the Supporting Topics are supported by well-written, complete, concise proofs. There is at most one wrong proof in the portfolio.

C: All of your Favorite Proofs are well-written, complete, and concise. At least a couple of well-written, complete, concise proofs are provided for all Core Topics. Many of the Supporting Topics are supported by well-written, complete, concise proofs. There are at most two wrong proofs in the portfolio.

I will use my judgement to decide for the grades AB, BC, CD, D, and F.

Finally, you will evaluate your portfolio and determine what grade you think you deserve according to the criteria above. Be honest and be specific in your justification.

Here is how you will organize your portfolio. The first page(s) will be a cover sheet with your name, your self-assigned grade (but no discussion of it), and a list of the topics for the course. You will see that you are going to number the proofs; you should write the number of each proof that provides evidence for each topic (a single proof might provide evidence for more than one topic).

After the cover page, include your three Favorite Proofs. Start numbering these with “1.”

Next, include proofs that demonstrate each of the Core Topics for the first Core Topic in the list in the syllabus. Continue numbering these proofs as needed. If one of your Favorite Proofs provides evidence for the first Core Topic, you do not need to include a second copy of it—your cover page will indicate that the proof is evidence for both. Then, do the same with the second Core Topic. Note that if a proof from the first Core Topic also demonstrates evidence for the second Core Topic, you do not need to include a second copy of it—your cover page will indicate that the proof is evidence for both.

Continue with the other Core Topics in the same manner. Then do the same for the Supporting Topics (in the order they are listed).

Finally, include your detailed self-assessment of the portfolio; be sure to include your self-grade on this sheet, too.