Mathematics Vision Project is the curriculum I am using and we began the last Module for Math 2 this week. The first lesson set the stage for some meaningful LIVE online conversation with learners. The lesson is titled “TB or Not TB” and uses, as you might guess, tuberculosis testing results for the basis of studying the meaning of conditional probabilities. I launched the lesson and students naturally  substituted Covid19 testing for TB as we thought about the context. We had the discussion of what it means to have a false positive or a false negative. We talked about which was more dangerous. Students were more invested because they could relate to the lesson’s context. They indeed met the goal of developing an understanding of the situation presented.

So, you may be wondering how exactly I pull-off live discussions in the middle of May, 2020 with 40-some 8th graders. Well here is some of what I have finally landed on after many failed experiments and inefficiencies.

• We meet LIVE two days a week, for those learners who are able to. I usually get 35 to 45 participants from a course of 52 students. That’s 2 brink and mortar style classes, but I run a combined virtual session.
• We review the lesson assigned the prior day and preview the next lesson.
• Students ask clarifying questions, offer options and make conjectures on open mic or in the chat window.
• For online LIVE lessons, I take a district created PowerPoint and dump it down to a pdf. (Pardon my lack of technical jargon. I am a technosaurous trying to survive in the 21st century.) I import that pdf and share it with my class by way of a shared screen through Big Blue Button  which we access through Conferences in Canvas. I, as well as students, can write in real-time on the “slides”. The writing stays with the slides when I forward them which is handy if we need to revisit. (Note to self – go back after class and record those screens of the lesson that are marked up for students who were not there.)
• I make clear the purpose/goal of each lesson and make certain through discussions that we hit the main points of the lesson. Students have their workbooks that mimic the slides so we are all literally on the same page. Students take notes and write down questions to ponder. I have them circle words and we go through new notations, for example, in this lesson, conditional probability…the probability that A occurs given B has already happened: P(A|B). This detail of instruction is NOT in the workbook because the workbook is NOT a textbook. A teacher is needed to execute this curriculum. Students also ask questions of me and of one another.
• After the LIVE session, I post a scan of my completed lesson workbook pages to Canvas. To do this, I use a set of RocketBook Beacons that I attached to a small whiteboard. I point my phone at them and they shoot themselves to where ever I desire, usually my school email, but I am experimenting with other options. (I started by using my RocketBook pages and balancing my workbook while displaying the medallion at the bottom of the page, but Beacons are faster and create clearer images for me. I am not using them as they were designed, but it works for me.

Here is the result:   8-1-1.
• Another thing I use to work with my learners online is a pdf of chosen problems from Problem Attic. I format and download a set of questions I harvest and choose to display one question per page, extra large, simple font to a pdf. If we want to quiz ourselves, I import that pdf and share the screen as I did with the lesson pages. We use the polling options available through Big Blue Button if I choose multiple choice questions. I can also have students type answers into the chat window, but wait to press enter until I count down so they do not steal the opportunity for others to learn. We also write on the shared screen and talk about the questions. I then post this set of practice problems along with an answer key to Canvas after the LIVE session for all to access.
• We finish in an hour. So that’s one hour twice a week LIVE. Since April 12th : we finished one module, including quizzes and a test, that we started before March 13 – the day the world changed; we completed an entirely new module and quizzed twice and tested on it; now we are into the final module which we will finish including testing by June 5th. It cis everything that I have motivated learners and for that I am grateful. I have measured results. Students who attend and participate in the LIVE sessions perform better on assessments.

So, this may look and even feel successful at times. I assure you, it is far from optimal. I miss the smells and the noises and the looks of elation as well as confusion. I miss sitting close to kids and watching them think through concepts. I miss being able to see individual student work so I can sequence it for sharing with the class. I miss seeing my students’ smiles when I say, “White Boards—GO!” as they run to their favorite #VNPS in the room. I do love that my kids are driven learners. They have worked and they have been exposed and the large majority of them have really tried.

Sitting in a MVP (Mathematics Vision Project) Integrated Math 1 professional development (PD) class early this week, minding my own business, probably checking Twitter for any knowledge nuggets or notifications leading to that dopamine rush, when I hear a teacher proclaim her recommitment to popsicle sticks as a means to improve participation in her class come fall. I winced. I remember being praised by my principal for having a cup of popsicle sticks on my desk and the nod of approval he gave me when I used this revolutionary technique to call randomly on unsuspecting students.  About this time each summer I started eating popsicles with abandon hoping to have enough sticks saved by the end of August. Oh my goodness. How far we’ve come!

A dominant theme from PD a couple summers ago was the practice of acting intentionally in instruction and planning and assessment and in each and every teacher move except in calling on students. We were still rolling the roulette wheel hoping fate would carry us the rest of the way. We were upping participation, but not steering the learning ship in any particular direction.  At the close of many a class, we found ourselves on education’s version of Gilligan’s Island, floundering hopelessly for a solution to the wreck that just occurred in class. It never occurred to me there was a better way because fate served me well, much of the time. But not every time and my luck ran out.

How many times have you been burned by a student who boldly states the exact misconception you were saying to dispel; or a student who confidently states something totally and completely wrong? Having no idea what a student is going to say is a rookie mistake. What keeps sticking with me is a scene from L.A. Law  (1986-1994) where Corbin Bernsen, starring as divorce attorney Arnie Becker, has a woman, claiming abuse, on the witness stand. He pushes her to the breaking point about why she did not seek help from a neighbor on a particular occasion when she had been locked out of her house. She explains that she could not seek help from a neighbor because she was naked.  At that point, his whole case fell apart right before him. He was reminded that a divorce lawyer never asks a question to which he or she does not already know the answer. And so it is two decades into the 21stcentury in the mathematics classroom.

Now, at long last, the Five Practices for Orchestrating Productive Mathematical Discussions by Smith and Stein, affectionately referred to as “the five practices’’ is gaining traction and getting real.  When we, as teachers, invite a student to share insights with the class, we already know what they are going to say. It’s still organic, it’s just that we are sorting and selecting student insights in a planned way. And when I say we, I assume every teacher is now doing this or at least striving to take steps toward orchestrating classroom discussions in such a way. Just when I think that, I over hear the popsicle stick comment and I know, the work here is just starting.  I know I would not be where I am today if it weren’t for the training and experiences I have had using Open Up Resources 6-8 Math authored by Illustrative Mathematics.

At HIVE19 in Atlanta, Brooke Powers (@LBrookePowers) introduced us (Martin Joyce (@martinsean), Morgan Stipe (@mrsstipemath) and Jen Arberg (@JenArberg) to a video that we then showed during our Five Practices 6-8 breakout groups in session 3 in the Community Track. This video created by and starring Dr. K. Childs, set the stage nicely as we dug into a lesson specifically on the five practices. I am sharing it further by linking it here. I hope this makes an appearance in your back to school training sessions. I also hope this practice extends to other content areas because good practice is good practice.

I am the first to admit, I am no expert on curriculum. I taught 8thgrade math for 10 years with no curriculum. I taught algebra 1 for 8 with no curriculum including my very first year in the classroom. Also, I taught Geometry for a couple years without any curriculum. Algebra 2 (the best ever!!!) I was without, but I did have access to a textbook, so maybe not truly without, it was just not aligned. Then there was Math 2, 1 and Math 8 under Common Core for several years with zero curriculum. I had to have the difference between standards and curriculum explained to me because I had no clue what curriculum actually was because I had never seen such. Standards are not curriculum. Resources are not curriculum. When you spend 20 hours preparing for 12 hours of class, you do not have a curriculum. Having multiple preps without any curriculum is nearly impossible. I did that the first year I taught geometry. I had Math 8 as well as algebra 1 that year. Once school was out, I went to bed and didn’t wake up until I heard fireworks on the fourth of July. I didn’t know there was a different/better way.

Finally, in late August of 2017, my school was asked to pilot the Open Up Resources 6-8 Math Curriculum authored by the geniuses at Illustrative Mathematics. I was amazed…and pissed. Why had I been put through 10 years of hell having to do everything myself via trial and error as I cobbled together resources to teach the standards for my classes. I knew I had found the silver bullet that educators have been looking for, or at least, I was much closer to it than ever before.

After using the Open Up Resources 6-8 Math curriculum for almost two years coupled with hearing noise about the Mathematics Vision Project (MVP) partnering with Open Up Resources to deliver a high school curriculum, it dawned on me that there had to be some Math 2 stuff hanging in a cloud somewhere so I went hunting. I knew I had limited time after spring break to cover the probability unit for Math 2. I found Module 9 for Math 2 from MVP. I looked it over. Checked it for alignment. Worked through the lessons then checked again for alignment. I decided to give it a try. I like it and here’s why.

Though I had no detailed how-to guide or training on how to actually implement this curriculum, I could see it was designed around a learning cycle that made sense. The first thing that made sense is that, unlike me, the authors of the curriculum realize that students actually come into the course with prior knowledge. Students are immediately held accountable for that knowledge. As students are working on the “ready” portion of their independent work, they are actually expected to go out and reacquire concepts on their own if they don’t recall them. I had spent weeks in the past reteaching prerequisite concepts rather than holding students accountable for regaining any lost knowledge themselves. With the MVP module, if students struggled, we spent a little time, but not a significant amount. I would then throw in a drill and kill exercise from my stash to make sure student understandings were solid a day later. We kept moving.

The next thing that sold me was the problem-based learning approach. It was clear that the five practices were part of the design from the page and a half alignment/teacher support page per lesson included in my find. It was also clear that discovery learning and collaboration were part of the process and those are my jam!

I realize through training with Open Up Resources and Illustrative Mathematics that I had to “launch” each lesson by laying down groundwork and making expectations clear up-front. I also circulate and prompt students who are stuck during the task of the day with instructional moves. What do you notice? What do you already know? What are you actually being asked? Can you use a different display to make the data more clear to you? The key is that the students are prompted to take action rather than waiting me or the rest of the class out.

I also like that the classroom projects/tasks are complex enough that students need to talk through what they are about and what learners are really being asked to do. The synergistic learning experience that students have is by design, not by accident. Students genuinely need one another more and me less.

Once students are mostly through with the problem or task, I choose students to present, always looking for varying approaches and insights. Because I am still learning to implement the five practices, I don’t always make the best choices and sometimes I revert to old habits of cold-calling that I get burned by, but we carry on. My students support my learning as much as I do theirs. It’s a wonderful relationship. I am very open with them about the fact that I am trying something new and they are very forgiving when I need a do-over and we rewind and try again.

My students have been frustrated for years about not having a curriculum—almost as much as their parents have been. They crave structure and who could blame them? What I want is quality structure. I’ve only tried this one module from MVP. I’ve not tried any other curriculums other than plucking lesson ideas from various places over the years with no sort of cohesive plan. So far, I see that the MVP curriculum adds both efficiency as well as depth to the learning that goes on in my classroom. Next year, I plan to experiment with MVP for Math 2 as my district launches MVP only for Math 1. I guess I am pre-piloting for Math 2 on my own. Since I am on my own, I can make adjustments as I go. I do wish I had access to some of the for-fee resources such as assessments and training, but I draw the line at having to pay for that sort of thing myself. I may attend the district MVP Math 1 summer training just to get a better understanding of the design.

Wish me luck as I venture onward. If you have any suggestions, I’m all ears!!