I just finished Karl Fisch’s post about approaching homework differently. It is a much more detailed and cogent explanation to what I was saying here.
My plan is to deliver the traditional lecture portion of an Algebra class as the homework, thus freeing up class time to explore the mathematics and pursue some interesting problems, as well as provide time for guided practice and collaborative work.
Since Algebra is very much skill based, my hope is to provide short (less than 10 minutes), targeted instructional videos that students can watch (and rewatch if necessary) that focus solely on the skills, one skill at a time. Now I want to be clear that these videos typically will come after inquiry and exploration in class.
As I said in the comment of Karl’s post, I think this is a brilliant idea. I can’t think of one downside to this plan, other than it will challenge people’s existing beliefs of what education looks like. (That by itself is not a bad thing; the fallout of that challenge might cause some headaches though.)
Watching Karl’s ‘Proof of Concept‘ video, it’s pretty obvious that this is going to be a time-consuming effort. As is mentioned, there are tons of online resources already but they tend to have been created by individuals for their own use. I could use them in my classroom but they aren’t always at the right level or don’t always have enough practice or aren’t the right length.
So here’s my question: Is it possible for us, as a community, to create an online open-source Algebra 1 skills-based video textbook? What would we need to do so? Here are some initial thoughts:
- We would need to come up with an agreed-upon structure for each video. (I like Karl’s Five Part Plan: Learning Goal, Explanation/Examples, Guided Practice, Self-Check, and Closing.)
- We would need to come up with a generic list of skills that are applicable to all, regardless of state or national standards.
- We would need people to volunteer to create a video for each skill on our list. If two or three people create a video for the same skill, that’s not a bad thing: more choice for our students.
- We would need to come up with a structure for displaying or publishing our textbook. I’m thinking create a YouTube channel and use a wiki as some sort of Table of Contents.
Can we work together to share the time-consuming aspects of this idea so that we all spend more time focused on the ‘heavy lifting’ aspect: supporting our students effectively with our time?
Anybody interested in trying?
Image: ‘soccer practice‘

Categories: (Best) Practice, Collaboration, Questions Tags: Algebra 1, Assessment, blended classroom, Dan Meyer, Karl Fisch, Online Textbook, skills based, textbook, video, wiki
Since Dan has linked to a bunch of readers who have implemented skills based assessment derived from his model, I thought I better post my own experiences with this.
I used this in my grade 8 math class (integrated concepts, heterogeneous grouping) as a way to revise the algebra that they had already been exposed to, with an eye towards needs-based differentiation. I divvied the algebra units from grade 7 and 8 into 25 skills, 5 of which I would consider ‘extension’. (Resources at the end.)
How it worked:
- I handed out a sheet that listed the 25 skills and asked the students to self-evaluate their abilities, based on their performance on homework and tests if possible, using a 3 band rubric: sad face – not sure of what to do or how to do it; blah face – can do it sometimes but with minor mistakes; happy face – anytime, anyplace, bring it.
- Once a week (usually on a Monday, based on our homework rotation) students would be given a 25 question quiz, with each question was aligned to the corresponding skill. The students had 20 minutes to complete as many questions they wanted. Each question usually had two or more problems: one simpler, one more complex.
- I would then give the students 40 minutes to review any topic that they wanted using any method available to them: practice worksheets in small groups, one-to-one or small group help with me, using web resources that I had already searched out, or viewing screencast movies created by me or my teaching partner for that particular skill.
- I would grade the quizzes on a 3 point scale, corresponding to the different faces and return the work within a day or two.
- The goal was to receive two happy faces (show skill mastery twice) in order to receive a ‘gold cup’ for that skill. Students kept track of their own results on their skills sheets but I only asked them to record progress.
- I kept track of all results in my gradebook.
After a couple of weeks, some of the students pointed out the obvious: why not review at the beginning of the lesson and then complete the assessment at the end? Much better…
This went on for 10 weeks, excluding the brief hiatus in the middle so that we could complete some in-class projects. All in all, I’m quite happy with the outcome of this little experiment and will definitely include it next year.
The Good:
- Reinforced discrete algebra skills on a weekly basis, something we couldn’t always do in our integrated setting.
- Students seemed to enjoy it and liked the simple 3-band rubric.
- Many students showed significant growth and improvement over the 10 weeks.
- Teachers in grade 9 will have a way of checking the entry level of students by looking over their skill sheet.
The Bad:
- Time in class needs to be more structured – at times it felt like a free-for-all where little was being accomplished.
- Students kept working on skills that they had already shown mastery in. This is a fundamental change in assessment and learning for them and that needs to be stressed. They didn’t really like the idea of skipping questions at the beginning (what does that say about how they’ve been trained???).
- It got a bit repetitive for the students. More variation in the materials would be nice. These can be added throughout the process in the future.
The Unknown:
- Will this actually have an effect in the grade 9 classroom? I’ll find out since I’m one of the grade 9 teachers…
- The idea was to have students who showed mastery in all skills act as student leaders as well as create their own screencast movies for skills of their choice. Only a couple of students actually got that far, however. As tablets become more pervasive in the school, I hope it will be easier to get the students creating content that can help their peers.
Resources:
algebra-skills-list
algebra-skills-test-1 – Apologies: some of the characters have magically changed, but you get the idea I hope.
A sample math screencast: Graphing in Standard Form
A sample student screencast: FOIL in Korean

What Did You Say?