No Examinations, Now What?

So here we are, in the midst of a pandemic.  I know that I should be slowing down and taking a breath, but from my surveys - the majority of MY students are bored and are worried about next year.  I have phoned home and talked with the parents who are undergoing crisis. I have adjusted the course for those students.

For the rest of the students - we are trying to think of a final summative to replace the exam.  Here were some characteristics of the ideal assessment:

• fair 
• representative of students' ability 
• self reflective 
• help students make connections between big ideas of the course (especially quadratics)

Enter the portfolio.

I played with it last year because of @mrcedward's amazing guidance for me.  Here is the result of one student's portfolio last year, which only a few students decided to take on.

The students' work blew me away.  It showed that some of my students demonstrate knowledge better in this format than testing - which can create anxiety and muddles the accuracy of the assessment.

We decided (click here for a working draft) that the audience of the students' portfolio was their future teacher and their future selves.  They are to create a display portfolio that demonstrates their fulfillment of the expectations with a self reflection piece on what their strengths and weaknesses are.

I know the students technically could work with each other, but the annotation required should help reduce the copying that is done.

Now it's time to build in some early checkpoints for our students, as portfolios for mathematics might be a little different for our students.  I'll let you know how those go!

Earth and Space Science - my second year teaching

Second semester has arrived, and that means it's earth and space science time!  This is the second year teaching it, and my goodness, my comfort level with this course has skyrocketed.

It certainly helps that my wife is teaching the same course, and we are learning it at the same time.  On our road trips, we wouldn't listen to music - we would download audiobooks and lectures from Neil Degrasse Tyson and Robert Hazen and get the education we needed in space and earth respectively.  I have read most of Carl Sagan's Cosmos book (thanks to last year's students who bought me that book)  and the textbook that my students use.  I know...my wife and I are both geeks.  But, we both love learning.  Here is the comparison of how I feel from last year compared to this year:

• I can now elaborate on my slides as opposed to just reading.  
• I can answer a good percentage of questions that they have.  (at least thus far)
• The engagement level is much higher, even with a much bigger class of 27. 

It's weird - but I'm changing the way I will teach this.  I understand that the students mostly take this course for space - so I will put all the cosmology stuff at the beginning.  However, with the next 4 strands - I will be spiralling through the curriculum.  I will weave my way starting with a little bit of minerals, to touch upon volcanoes, geologic time in the first spiral.  My second spiral will weave through rocks, more volcanoes, geologic time and and planet formation.  The rest of the spiral organization is laid out with my thought processes here, with each column representing one spiral.

Now that I have tried the spiral curriculum when I taught grade 9 applied math, I know what advantages and disadvantages it has.  I know what content lends itself to each of the linear and spiral curriculum.  

One of the coolest things that I have been emphasizing thus far is the contribution of females to this science. Astronomy and cosmology is a science that we're still learning much about and we certainly don't understand much of it even at this point.  We are still developing tools to study what's way out there.  (Hello gravity waves!)  Females now have more access to education than 200 years ago, and one can see their contributions from Leavitt's discovery between absolute brightness and periodicity between maximum and minimum brightness to today's Lisa Randall's "Dark Matter and the Dinosaurs".  Now that women can touch telescopes and things are opening up for them a little, we will see more and more contributions like Lisa Randall's.  I certainly enjoyed her lecture at the Toronto Reference Library.  

I'll show the Cosmos reboot episode entitled "Sister's of the Sun" by Neil deGrasse Tyson later on this week to show other men and women's contribution to our understanding of space and stars.

My ultimate frisbee team is also asking for more practices and they're getting anxious because they're unfamiliar with the system.  Looks like more 5am wakeups for me!

Iterations Improving the Proficiency of my 3-Act Math Delivery

NOTE:  This is a late post - supposed to have been published last month but I've only recently found time (during exams) to post it.

For today's lesson, we turned to Dan Meyer’s video question on which cup contained more juice.  Here's my powerpoint that goes with it:  

It is a splendid 3-act problem that inspired some interesting questions.  However, the quality of their questions has decreased since September; the questions had more depth, and their observations keen.  Now, they are just giving me the question that I am looking for.  Wasn’t the whole point to emphasize the questioning to clearly define problems a little more?  It looks like I’ve fallen hard into my habits and have prized THE answer as opposed to prizing the question and problem definition. 

Wow, blogging really forces me to reflect more than usual.  It just dawned on me that the reason why the question quality has been decreasing since September is that I don’t answer all of their questions.  There were so many quality math questions that were generated by the students from the videos in September but I ignored the most quality ones because they would probably take a day to answer. 

I have placed 100% more importance on following my scheduled spiral curriculum than their curiosity. 

Looking back, I should have made more of a compromise, and actually followed through with at least a few of their questions.

It would show a lot more teacher willingness to venture into the unknown and really value their questions.  Following through to try and answer their questions would actually demonstrate how I learn – one of the most important things to model.   Instead, I’ve trampled on their curiosity and lost that opportunity to be a role model of a real learner. I feel really badly now. 

But, can’t be ruminating now, can we?  I’ll just change it for next semester.

So I’ve digressed.  Going back to the 3-act question:

After receiving their questions, I specified the question that we were going to answer today.  Which cup has more, and by how much? 

Here are their guesses as a completion to act 1: 

It’s interesting to see how many of them chose that cup A and cup B had the same amount. 

Nevertheless, act 2 came along, and with those measurements and the conversion ratio the students went about to work. 

After about 15 minutes of discussion and hard work on large whiteboards, the students put their answers on at the front.  Only 10% of them got the right answer:

 The stumbling point for many students was the CONVERSION!  I have to find another way of teaching conversions as I have been repeating it throughout the year and it still hasn't sunk in. 

In truth, the fact that many of my students weren’t able to complete this question in pairs disappointments me. 

I made this question into an entrance card to repeat for tomorrow in hopes that the students will get it during their second try.

I will take it up and repeat a similar question as an assessment on the next Friday. 

Update:  They did very well on their assessment.  I wonder if they’ve gained any ‘permanent’ skills along the way in this process or if they've just memorized the process.  I will only find out later I guess especially with that EQAO coming up soon.