I was so pumped after my 3rd teacher workshop of the year that I had to take a picture. 

Earlier this year I did my first math workshop.  Here was the description: 

Are your academic & applied grade 9s disengaged? Learn how other teachers and I transformed our teaching practice utilizing the spiral curriculum to increase retention of math. By using a combination of Dan Meyer's problem-based 3-act math, collaborative white-boarding, and Knowledge Hook's online technology, students are more engaged and rediscover an enjoyment of math. Come and learn how to efficiently implement one or any of these strategies to jump start your classes' retention and engagement! 

I checked quite often (even though I know it was unhealthy to) to see how many people were attracted to my description. It was crushing.  Even on the last day leading up to OAME, there were 3 people who signed up for my session. I managed to console myself by stating that it will be easy and having fewer people is  a good way to start one's first math workshop.  I also managed to convince myself that because it was on a Friday and it was the last session of the day...most people wouldn't come anyway.  So I managed to not take it personally.

Boy was I wrong about the number of people.  I had 30+ show up to my session!  Well, this OAME “Endlessly Spiralling  through Grade 9 Math” was much better than my previous two presentations on “To Blog , where No Blog has Gone Before”. 

There are a couple comparisons that are important to note here:

·         

• After two workshop presentations, I think I got the hang of it.  I went from a 1-way presenter of  disseminating information to an interactive teacher/facilitator that talked and listened to the audience.  I sometimes would lead a discussion with the audience but also lean on the experience of the audience as well for input or further expertise.  

• I’ve been using blogging as a tool in the classroom for over a year whereas I’ve been spiraling for only 9 months.  However, I am much more comfortable talking about spiraling in math than I am about the use of blogging in the classroom. 

• I used Pear Deck many times in the classroom before I did my math presentation vs my blogging presentation. 

Here is some feedback on my presentation.  Looks like about 7 people answered this first question, even though over 20+ attended.  Not everyone fills out feedback forms:    

Leading a discussion with fellow educators and administrators requires a very different than I had developed teaching teenagers. One of the biggest difference I learnt was that there was a curriculum when teaching the students versus no curriculum when at a workshop.  At a workshop, the content discussed better be useful for the audience or else it’s a failure.  In the classroom, the content discussed often isn’t the teacher or student’s choice, so we just have to make the best of it.  As a result, I started my presentation using Pear Deck to interact with the audience.  I used to only use it to get to know where everyone is from, which age group they most affect etc….

This time I used it to ask what they expected out of the workshop.  It became evident as I was browsing through their comments that some of my expectations and their expectations didn’t align.  I went through the list and acknowledged each one of their expectations; I would defer some, promising to get to it later in the presentation, and others I would answer on the spot.   A few questions I wasn’t within the scope of the presentation and I apologized but at the same time used this as a segue to the fact that I wouldn’t get offended if anyone left early.  This portion was informal in nature and opened up the floor quite a bit.  

I spent only 3 hours explicitly preparing for my OAME presentation whereas I spent days preparing for my blogging presentation.  It’s amazing that out of the 7 people that responded, 3 stated that I was ‘somewhat organized’ and 4 stated that I was ‘well-organized’.  However, upon reflection, I’ve actually spent a lot more time preparing for this presentation than the 3 hours beforehand. 

When I went to George Couros’s presentation back in October, he stated that he formatively spent 5 years writing on a blog getting feedback from all sorts of people around the world.  He would get his ideas refined and learnt how to wordsmith. 

Something similar happened to me here – I blogged about spiraling for 7 months beforehand, and I could whip together a presentation in 3 hours and then speak about it in an organized, confident manner the next day.  Normally I would have much trouble talking about my experiences, but blogging helped me refine my thoughts so that when I spoke, it wasn’t a big jumble.  

Wow.  I was thinking that OAME was hiding negative feedback at first here, because there seems to be only one person answering these questions now.  However, I looked back up and saw that there is still some negative feedback, so maybe? 

Nevertheless, I guess the respondents finished off the survey at the end, which showed I did an ok job:  3 people said it was ok, 3 people said good, and 2 found my session to be great!  I still have to work on things as only one person would recommend me as a speaker – now I have something to work towards.  Looking back – I have to work on my content.  I am not very knowledgeable about the changing math education.  My goal is to read Jo Boaler’s “Mathematical Mindsets” this summer and hopefully I’ll have a better scope and understanding of what her student Dan Meyer was going towards.    

Except….I forgot to apply to run workshops for 2016/2017 year as ultimate took up my entire life from May to June.  You live and you learn I guess.    On to the next year!  Can't wait to start tomorrow!

My Grade 9 Academic Review of Mr. Shin

Every year, I ask my grade 9 academic students to review me, and give me my report card.  For a course that I've done a few times, where I don't think I can get as much out of my own reflection, it is important I at least ask the kids to write something.  Then, it forces me to self-evaluate and reflect on some level.

Here it is!

Mr. Shin should:

Start:
Giving more rewards so we can try for food. Food is life.
Add memes to your presentations.
Teaching us lessons for longer periods of time instead of entrance cards  +1
Do more interactive activities because that helped people learn/remember new information
More inquiry questions
More Knowledge hook
Practicing more application questions
Putting multiple choice on exams (I did?)
More interactive stuff
Projects +1
Start using pictures on the computer and technology more often
Use a ruler(joke) 
Check homework more often  +1+1
Check homework without warning
No option for wall sits or detention (always wall sits!  =)  )
Punish students with math problems instead of wallsits/detention
Ask people where they want to sit
Write bigger on board
EQAO review earlier


Stop:
Try not to make as many mistakes or your legs will be too strong (wall sits)
Making us go outside of class to do activities bc I don't want to move
Using technology and could teach us more lessons
Nothing
Wall sits, try burpee insteads
Stop doing one hour long lessons so we can actually try out the work ourselves
Stop using the whole class time on ecards
Shouting
Making mistakes
Making tests hard

Continue:
Being awesome
Teaching
Explaining Concepts
Being enthusiastic in teaching us math +1
Being funny =) +1
wallsits (because they teach you things and it is good discipline)
Being amazing, you really helped me improve this year and I really appreciate it.  Keep up the good work!
Entrance cards +1+1+1+1+1
Using technology in lessons
EQAO practice +1
Partner/Group work +1
Using Google classroom
knowledgehook +1
worksheets
changing seating plans
providing help +1
making puns
using the projector
Making lessons fun

Math and Work

Balance.

If there is one thing I've learnt over the years, it's that balance is key.



Teaching math comes out with all sorts of different instructional strategies and technologies.

However, attaining fluency in math is just like anything else - practice is key.  Today's learners are less and less receptive to repetitive drill and grill - which is fine.   Drill and grill is for the assembly line workers of the 1900s.

The way English is taught in schools when I attended was that it was never really explicitly taught.  English was always implicitly a part of the curriculum from what I could remember.  Even grammar.  I was taught English in many different contexts, whether it was experiential by going out to the local fair or interacting with people from other schools in the collaborative learning environment.  Sure, there were some explicit grammar lesson to keep things in balance, but the learning occurred without me even realizing it.

I have been trying to attain this balance in the math classroom with those 3-act problems introduced by Dan Meyer.

Introducing a problem through a vague video is that first step.

Inviting the students for any questions or comments about the video is the hook.  Sometimes those videos are something that they would recognize from their world (ie:  a videogame) or sometimes the video can be about an abstract math concept.  I have to balance the context of the problem with their world and the 'outside' world to both connect with them and also teach them about something outside their world.

Spiraling through the curriculum is also a form of balance.  We stay long enough on a topic such as linear relations to challenge their attention span, but also switch to 2D measurement perimeter and area to keep them engaged.   We provide problems that vary and cross the different strands to show that math is not just one dimensional.

However, after problem solving we must go back to do some focused learning.  Usually in the form of worksheets that focus on a particular skill, I find that students have a little more motivation to practice the skill that we just introduced through the video that we just problem solved.

It's interesting to see them focus on practice and drilling and grilling.

One of my friends, who plays in a band for a living, stated that music and sports are probably the only subjects that students 'practice' anymore, where they are willing to try and do it over and over and over again.

The students still need practice.   I tried to vary the practice in a few different ways - with the use of whiteboards.  The whiteboards are super important as they are MEANT to be erased, which encourages students to try - regardlesss whether or not they fail.

Balancing differentiation.  These are the only two things that I have seen work consistently.  But it's hard to pull it off.

Kahoot is a Hoot!

One day, one of the students didn't have their presentation ready.  My emergency backup lesson plan was to run a kahoot on random space questions.

Kahoot.it is the latest in clicker software, where students can use any technology whether it is a phone, laptop, ipad, etc.  It's a good thing I was in the 21st century classroom as any student without a mobile device went over and grabbed a laptop or ipad.  

Kahoot measures who gets the answer quickest and awards the fastest student...or teacher in my case.  

Victory is mine! Kahoot on random astronomy questions for review! (old pic to maintain bragging rights) pic.twitter.com/y30G9BvB4s

— Andrew Shin (@MrAShinYRDSB) June 17, 2016

However, I didn't always win - the youth that my students have over me was shown in the next game. Their reflexes were much faster. See exhibit B below:

Anyways, I had quite a bit of fun and was fully engaged.  Some students took notice and included a kahoot into their next presentation.  (I lost that one too...but my excuse was that I didn't fully pay attention to content as I was scribbling notes on their presentation as a whole to help provide them with feedback on their next presentation).

Presenting at YRDSB's Edtech Spring

Today I presented to a total of 3 people for the second iteration of "To Boldly Blog where No Blog has Gone Before".  It was quite the different experience compared to my first time I presented for my 2016 QUEST conference with 60+ people from all over the world.

That time I didn't have my slides organized, I was trying to use Pear Deck for the first time, and I didn't know exactly what I wanted to say.  Needless to say, it wasn't very good.

Today, I distilled the presentation down to some key concepts producing an overall better organization. I allowed for some genuine conversation and discussion among the audience (easy to do with 3 people)- which actually allowed me to learn quite a bit.  

I had a senior kindergarten teacher, an intermediate French teacher who is part of the ETFO executive, and a person from the Director's office.  The vastly different perspective on education allowed me learn so much outside of my secondary school niche and it was an incredible exchange of information (at least for me).

As for blogging, the needs of the senior kindergarten teacher were unique and I was able to help her out with the newsletters that will connect with parents directly instead of relying on 3-4 year olds who lose those pieces of paper between the end of school, daycare, and home.  Communicating with the parents who want the constant updates that they used to receive from daycare was another purpose of the blog that I was able to help her with.

                                          Caption:  Edtech 2016 first time presenters!

Overall, this was a great experience as I learned much through the informal conversations as well as trying to meet the needs of my 'students' as they tried to create their own blog that serves its own needs.

Modelling the Expansion of the Universe

When teaching the space portion of this course, there isn't a lot of labs I can do when I compare with the chemistry, biology, or physics teachers.

However, when I do get the chance to do a lab - I'll jump on it.

Here we are, modelling the expansion of the universe with elastics trying to get something similar to Hubble's constant.  Each paperclip represents a galaxy and when you stretch the elastics in between each galaxy, you measure the change in distance from one chosen home galaxy and the others.

Fig 1: I hope they fixed the crooked rulers...

It's a lab that can be done with my grade 9s.  However, the analysis level and connection to the actual expansion of space might not be up to a level that I would like.

I've had some interesting error analysis questions as well as deep questions that strive for true understanding.  (ie:  improvement of measurement in the above picture - ie:  use of tiles? )  What this actually models and how it holds up to current theories about the universe and where it breaks down - all of these are important aspects of the lab that I hope we extract at some point.

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!

Character Education - Honesty with Marks

One of the things that I wonder about as a teacher is the relationship between marks and learning. While this debate can run quite deep with some teachers advocating to do-away with marks entirely and others on the opposing spectrum to anything in between.

 I am going to look at this from the student's perspective.  Especially when it comes to grade 12, many students focus solely on mark grabbing and hopefully learning occurs along the way.  I try to emphasize that if students focus on learning as the priority, then the marks will naturally come.

It's just easier, from the student's point of view, to focus on getting marks first which promotes behaviours that I don't consider 'true learning' such as passing around last year's tests, studying at the last second for the short term memory thing, cheating, and memorizing.    

Some will say it's the teachers' fault for setting up this system.  Others' will fault the universities' inability to sort through candidates other than through marks.  It might be a little from column A and a little from column B, and even from an unknown C that I haven't quite considered. 

The beauty of being a teacher is that in many ways, I control the classroom.  In my little world here, I can highlight and contrast the difference between a mark grabbing student and a student that learns for my own students.  

Every year, at the beginning, my students write a diagnostic that does not count for marks.  When I mark it the multiple choice portion, I purposely:

1)  take away a mark that they deserve 

2)  give them an extra mark that they do not deserve

In the end, their mark stays the same.  However, after I take it up the test and show the marking scheme, I go around individually to each student asking how I should change their mark.

I have found in the two years  that I have done this, many students state that their mark goes up by 1, a few ask to bring down their mark by 1, and many so no change.

I then ask the students to reflect on their action.  I cannot judge what they did because I do not know the rationale behind their action but I take the time to highlight the following:

A)  If you asked me to reduce your mark knowing full well you deserve another mark, then you are too hard on yourself.  You deserve another mark, and should ask for it - after all, you got the answer right as well as another question wrong.

B)  If you asked me to increase your mark by 1 or decrease your mark by 1 because you didn't notice the other mistake I made, then you have to pay attention a little more during test takeup.  This is a time to learn from your mistakes, which is quite often the best time to learn.  Be a little more detail oriented and listen carefully for these are important skills in life. 

C)  If you said "no change" because you didn't notice anything wrong, then you are not paying attention whatsoever.  (I may run the risk of an IEP student that has issues with the delivery, but I do make sure to show the multiple choice answers visually and say the answers aloud for each question so that should cover most minor IEPs.)

D)  A few students say "no change" but have already done their self-reflection on what question was actually right and what question was wrong.  This is fine as well.

E)  Each class, there's always one or two students that tell me explicitly that I marked one question right and one question wrong, showing true transparency to me.  This is awesome, and it is something I tell them I try to do for them as a teacher.

F)  This is the last option I go over.  I've learnt to explain this last option gently as a few of my more sensitive students feel guilty even when they didn't do this.  If a student asks for a +1 in marks knowing full well they should have a no mark change, then I ask these students that find themselves in this position to do some deep reflection.  I state: "You have just lied to me about your mark.  What did I do to you in the last week to deserve this?  (hopefully I did nothing wrong in the past week to start the school year off).  You have just inflated your mark to your parents about your mark.  Above all, you're willing to lie to yourself and pat yourself on the back for getting a higher mark than you deserve.  If you're willing to lie to yourself to inflate your mark, lie to me who has done nothing to you, and even your parents on a diagnostic test that doesn't even count for marks - what are you going to do when it comes to money or other situations?

This year, I delivered my speech well.  I returned a test on January 4th, and made a mistake on a multiple choice question.  This is almost 4 months after my little stunt.

Class 1:  I had 7 students come to for a mark increase. I had 8 students come to me for a 1 mark decrease.

Class 2:  I had 8 students come for a mark increase and 7 marks come for a mark decrease. 

As you can see, grade 9s are very receptive to this sort of thing.

When I pull this stunt with my grade 12s, I get into deep debates with my grade 12 students when I ask them these questions.  The one thing they always bring up is that this mark is so small, it doesn't matter.  From their perspective, this if this one mark occurred on a summative assessment, it would help them in their goal to getting into university and it doesn't hurt anyone.  If it doesn't hurt anyone, why not do it?

We then go back and forth about the fact that if you increase your marks unfairly to get into a university program, you're kicking someone else out of the same university program.


I know deep down that the system will have to change to have any permanent effects, but in the end, it's a fun debate and a good exploration on what honesty really means.  I learn much of my students in this little experiment and I'll probably continue to do it. 

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.  

EQAO - math standardized test - the time is here..

Wow.  We just finished the EQAO and it looks like it's been quite a success.  The students, according to my marking, have scored the highest they ever have compared to the previous two times I've taught the course.  In their feedback of how they felt about writing the EQAO, the students reported a high level of satisfaction upon completing the test.

The success comes as no surprise as I've never had engagement like this before.  However, it just feels pretty good to have this spiral curriculum and 3 act math pay off.

Well, of course, I think in order to really see if all of this did work, I should compare their grade 6 math EQAO marks to their grade 9 EQAO results to see if I really did make a difference.  We'll have to wait until next year for those results.

I'll just have to wait, then.  

Capitalizing on the Hour of Code: An Alternative Assessment for Solving Equations

So last week was the Hour of Code.  Our wondrous computer science teachers have decided to involve all the grade 9s and organized a tremendous time in the cafeteria involving 500 students.  I had quite the fun myself as I tackled some good old HTML coding as well as some Star Wars programming.    

I heard from a few of my 9 academic students that they've done this before, but they got a lot more out of this session than in previous years.  They don't realize that maybe perhaps last year's experience set up today's success.  

I wanted to integrate programming into the course.  So I assigned some homework:  

For homework the night before, I had given each student a different set of four numbers.  With each of their four numbers, they were required to create their own 1 step, 2 step, and 2 step equations involving distributive property.

I then introduced my scratch assignment to my 9 applied math class using the previous week's Hour of Code as a springboard.  Students are to make a multiple choice quiz on Scratch with the four questions they did as homework the night before.  I had them start off with a template.  

Some had a little hard time with this because 1) I didn't give them that much time to play with it (one official period only...and 2 other mini periods where they had a choice to study or do this assignment)  and 2) it was introduced in the last week of before holidays when a few other assignments from other classes were due and 3) their reception for learning something completely new wasn't quite in this last week.  

About a third of my class got it done perfectly.  Take a look at this example.    

Others don't know to check and debug.  I know she can solve equations and build equations as I've assessed her separately on a previous test means that she hasn't debugged program properly:  

  

Here's one student who went above and beyond by using the 30 minutes of introduction and probably previous programming experience to add some bells and whistles to the template I introduced to them:  
There are some that have yet to hand it in.  

I'm going to have to do some work after the break;  I'll probably introduce some peer assessment process to help them go through the debugging process and then help the other 30% that didn't hand it in a little push.   Should I add it to the rubric?  Next semester.

I gave them a template, and they had to follow the instructions.  It was mostly an exercise in creating their own equation, and then a matter of some data entry.  However, the program's template isn't that intuitive, so inevitably, they have to learn the process of debugging and trying again.  They experienced the confusion and pain associated with "programming" - and if they persisted, the joy of "programming" in a microcosm of one period.  

I guess I can give myself a point for integrate programming into the math curriculum without having it take up more time than necessary.  At the same time, it can be argued that they learned more about data entry than programming.  I'll live with that - I've rarely been able to cover the curriculum well in an applied environment and to be able to do something new like this is quite a luxury - especially with the EQAO test next month.  

Alternative assessment of the year?  Done.  Will I try it next semester?  Let's see what my colleague says.

Anyways, here's the rubric (also attached) that I used:    
https://drive.google.com/open?id=0BxWy_f8Du24JSDJkUVJqZTg1ZGs

A Student Teacher, Teaching the Teacher

A Lesson on Felicia

I have ALMOST given the full reins to my student teacher lately every Thursday when she comes to volunteer. 

I use the word ‘almost’ because a student teacher never truly has their classroom management tested as they’re walking into a classroom with established norms and systems in place that hopefully protect supply/student teachers. 

I’m also in the room while she teaches, which affects the management of the classroom.  

On a separate note, for the first time in eight years, I can say that my applied classroom norms extend strongly even when I have a supply teacher (given the comments they leave behind).  That’s how receptive my students are this year. 

That just means that next year, my students will be wild and out of control, doesn’t it?

On the other hand, my student teacher is incredibly talented and is in her final year of teachers’ college.  I have learnt much from her style, approach and her creativity; case in point, take a look at her lesson on Felicia that she made up:

The question, I could see, resonated with the girls in my classroom.  I guess after questions involving video games, Usain bolt, etc. this was something new. 

My student teacher and I coordinated through my spiral curriculum well as the question was just a touch out of their comfort zone as they just finished learning solving equations and we’ve been through perimeter and area about two times before in previous spirals. 

The question was challenging as they got into groups of two or their ‘rate of change’ partners.  This question demanded the large whiteboards.   

For some reason, the students have been naturally lately looking to group their pairs into group of 4s and 6s.  I immediately broke up the group of 6 as I know that group was just too large.  I let the group of 4 stay as I knew that particular group of 4 worked well.  I still, prefer pairs, so I'll probably split them up next time.  

However, I wanted to see how well they worked and learnt; the next day, I went over it briefly and summarized positives and negatives of each group in terms of their process work, communication, without stating the answer. 

To truly assess how well they worked, I put up the question again.  Now, usually I am not a fan of re-doing a question, or re-assessing the same question, giving multiple opportunities, and doing it in groups…but I’ve been reading so many positive reviews of it that I decided to truly try it again.

It actually worked.

For thinking style type questions, putting the students in groups and allowing multiple opportunities created an environment of learning.  The majority of students actually tried it on their own (except the bottom 5% of the class where collaboration occurred immediately..) before starting to compare answers.  Upon finding differences, these students went through learning conversations where they justified each other’s work. 

For a question that we did yesterday and that I took up earlier, it took almost 20 minutes to get it done.  Some students didn’t even finish.  I guarantee you, as I walked around the classroom listening to their conversations, none of them were fooling around. 

Mind you, I still hesitate at the thought of doing summative thinking questions in groups with my academic students because I know the ‘Mr. Shin caught your mistake’ current environment I’ve set up would cause more of my students to copy off other students as opposed to learning it. 

I am really going to have to rethink my teaching as I found that those rich discussions that the students had with each other is worth designing the curriculum for.    

What’s hilarious is that the education world made this discovery about math education about 5 years ago when Dan Meyer first landed in a TedX talk.  Education has already moved on from this to the next phase – but at this point, the latest stuff is too progressive and far left reaching for me. I've never been an innovator; I've always been a late adopter myself to make sure the 'latest' trend actually sticks around and works with the common teacher.

Maybe if I was an elementary school teacher, I would make the jump ASAP to the latest educational trend; but as a secondary school teacher where post secondary institutions require a certain level of standardized skill, I don’t think I could ever make that jump.  

Maybe in another 5 years I’ll make the switch if it has proven to be more than the latest trend.

Things just move so fast. 

Anyways, I’d like to take this opportunity to thank my student teacher for using her beautiful question as a springboard into student learning as well as mine.  

Success! Students Create, Solve, and Assess Equations all on Their Own

I just marked the students' test on spiral #9 which included a) volume of pyramids and b) solving equations.

Volumes of Pyramids
16/22 members of this applied math class achieved level 4 or higher on this multi-step pyramid that involved using the pythagorean theorem first.  Since this is the third time spiraling through pythagorean theorem, this high success rate is not surprising.


Solving Equations
Regarding the solving of equations - take a look at what they produced on the test:

Needless to say, they aced the other questions where they had to solve my equations.  However, their formal LS and RS checks needed a little work, and during their reassessment next week, they hope to capture that portion of the test. 

It shows that the formative peer work they did the day before worked.  I didn't have to do any marking to provide the feedback that they needed.  This community that the students have created in the past 3 months have allowed them to embrace their mistakes.  The amount of learning was exponential as the students were making their own questions on their whiteboards and discussing with each other their own individual problems.  They found each others' mistakes and they would justify to each other why it was a mistake.

Some students thought that a decimal/fraction answer was a "mistake"; they went back and "corrected" the question that they created so that the solution was an integer.  The process of critical thinking necessary to justify and correct it was fun to watch; however, I have put in a mental note for the students' need that a real number (non-integer) is a number too.

I'm glad that none of my students have stated any racist or sexist or any other inappropriate comments; but they certainly are 'fractionists'.  I have to figure out a way to expand their thinking on this one.  

The whiteboards' non permanent surface is a boon for students as there is no eraser mark, white-out, or need for an official eraser.  It encourages students to just write out their thoughts, display their thinking, and promote discussion. 
 
I wish I had employed the spiral curriculum since my first year of teaching with these applied students, as this success rate has been absolutely unbelievable.

At the same time, I have a couple factors that are exaggerating the spiral curriculum's success:

1.  I have motivated kids.  My level of engagement is even higher than that of my academic classes.  Dan Meyer's 3 act math had something to do with that.

2.  I have students with extremely strong learning skills this year.  My classroom management micromanaging at the beginning has paid off continual dividends that the students reap every day. 

Hooking Students into Solving Equations

As I approached this topic - it scared me.  Typically, my 9 applied students don't take this concept of solving equations very well.

However, it went extremely well.  Better than I thought.

All my work emulating Dan Meyer has paid off, as they gobbled up this math lesson with such focus and creativity that amazed even me.

The community of openness, willingness to make mistakes, and the growth mindset was on full display.

I started off with the typical Pearson textbook problem on a Powerpoint, and had them figure out in any method how many spheres are in the bag, assuming that this was a balance.  It's my attempt at having them recall some prior knowledge:  

 Then, I had them try out this question:

I asked them - "What is the difference between this question, and the previous question?"

Student: "It's more complicated."

Mr. Shin:  "Yes it is more complicated.  There are many ways that this question is more complicated.  Can someone elaborate on why the second question is much more complicated?"

Students:  "Uhh...more spheres, more items, and more bags on both sides."

I then went on to explain that there's a method to "simplify" (bad term to use, I'll admit.  I have to ask my colleagues for the proper term.  They're much smarter than I on the formal aspects of mathematics) complicated equations like the second picture  to become simpler equations like the first picture above.

A little bit of a hook was made to some students, but as usual - not all.  Well, at least I got some without having to use any symbols or use of any math.

At this point, though, I had to introduce the use of symbols to solving simple equations on solving equations.  I made sure though, that they as a class were able to predict  each math line that would pop up on the Powerpoint before I flashed each line on the screen.

Continuing on to use think pair share and whiteboards for the next two questions makes sure that at least half of my 22 students are able to get some portions of this concept.

On day two, we built equations.  They made up their own equations using cups and cubes.   I also encouraged them  to draw out questions for their partners.

Talk about students being leaders in their learning - giving them the responsibility to create their own questions.  Fractions and decimals came out as partners answers others' questions - it was very interesting that they would take it back and try to 'fix' it as if there are problems with fractions.

However, going through that exercise of integer answers only really made them think creatively.

This is why I like the applied classroom - they take liberties on things like the money bags up top and even this:

Bunny rabbits and money bags are so much more interesting than spheres.  Money bags is better conceptually though, than the rabbits who have eaten candies, but at least they're taking their artistic liberties.

And...they're really into it - a few of them started on their homework from Knowledge Hook right away on Friday night, and there is NO red square so far.  One video was watched for clarification so far...good news good news.

 I guess the real test is:  how many more 9 applieds will they even attempt their homework by Monday? 

 
Stay tuned! 

Old Style Education vs the New Style Education

We are at a crossroads for learning. Students are very good at informal learning;  their interests lead them to finding resources on the internet to learn more about their interest.   This is in contrast to the formalized learning that happens in school sometimes.  Some students can bridge these two styles of learning; other students aren't successful at formal education or don't see the point in school.

Many teachers prefer the traditional method of education with the teacher at the front leading the classroom.  Students don't know what they don't know and it's important that the teacher impart some of the perspective, experience and knowledge through interesting media.

However, there are more and more voices from the progressive teachers (which are mostly online) with this view that I found on flickr:

Others prefer student lead learning with teachers as facilitators.  The epitome of student led learning and teacher facilitation is depicted in the makerspace below:

Content doesn't matter as much, as we now have access to knowledge all the time with the internet.

Skills matter more.  With the makerspace, students are creating things.  With this higher engagement, the important skills of initiative, collaboration, and perseverence are all practiced at a much higher level.  Developing these soft skills will enable them to succeed at whatever job they are placed in.

It essentially boils down to this: do we try and give students a base knowledge to start with or do we just let them lead their own education?

The answer is always the same to these new initiatives: mix i the old with the new.   I will do both because students will benefit from both.  I just hope I know how to balance it and if the time allocation is done correctly.

Very often, students don't know what they want to learn because they haven't discovered it yet.  For these students, it is my job as a teacher to show them the amazing parts of this world.  Once their interest has been captured, then it's my turn to facilitate and lead from behind and let the students lead the way.

Today's PD - Michele Milan on Leadership and Mindfulness

The following are just snippets of Michele Milan's presentation intermingled with my own personal experiences.  I hope to just jot these down to reflect on my learning.  Well, here it goes!

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As an educator, I am the leader in the classroom.  Every mood, move, action I make will affect my students whether I mean to or not.

It's important to practice mindfulness to give us the conscious one second buffer time between our action and stimulus.  It will allow us to respond (not react) appropriately to the numerous stimuli in the class.  Being present in the moment will allow me to be fully in the classroom, and not bring out any of the frustrations I may have had with my car problems in the morning onto some poor student in the class.

The neuroplasticity of the brain emphasized the importance of being careful of what I actually practice and deliberately set a new default mode of 'being in the zone' like so many athletes can do during their performance.  Unlike what I currently have practiced - I have something similar to ADHD - I have an attention deficit trait which mimics much of ADHD's effects but the source is different.  My attention deficit is caused by my HABITS.  I have PRACTICED "multi-tasking" and not "single-tasking".  This is why I have over 20 tabs open at the same time in my browser.  Excuse my while I close these tabs.

Michele Milan mentioned how Dan Harris, who believes that mindfulness should be on the same level of importance as brushing ones teeth, exercising, and eating healthily.

Attention - choose your focus, and focus on what you choose.  Mindfulness is attending to attention.  It's the meta attention.

Integrate micro practices of mindfulness into your workday - lookup Maria Gonzales if you have time.  The one we practiced in her session today was taking two minutes to just breath and focusing your mind on nothing else bu breathing.

Talked to Keystone and she illuminated another thing to take away:  if you're not living in the present moment, then you're either worrying about the future (what if this..or what if that?) or ruminating on the past (if this didn't happen...or if that didn't...etc)  We have 50% attention span and if the other 50% is spent on worry or rumination, then this wandering mind is the cause of a lot of unhappiness.

EDIT:  Speaking of being mindful, I was busy preparing my facilitation session on MBTI breakout session in the afternoon that I wasn't really paying full attention to Michele's presentation; in the end, however, the MBTI portion of the day has been moved to another day.  Mind full vs mindful.  I paid the price and didn't get to extract her presentation in its entirety.  Good thing I read about this stuff on my own time.

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"How smart are teachers" vs "How do my teachers learn?"  Are we modelling this process of learning properly? 

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And, now time to plan out the numeracy course, prepare for a new unit for 9s, make their test and start working on exams.  I have to talk to numerous teachers about a few other students - their guidance counsellor and their student services (formerly known as special education)  December is good times.  Good, busy, times.

Wellness Day - OCR Pursuit

Today is our 3rd year doing wellness day.  It really has improved with its iterations although I still think the administration of it needs to be improved as its organizers are not very well from stress and worry.  There must be a Google solution out there to give individualized permission forms and signatures.

Which is what I experienced today - we took two busloads of students ranging from grade 9 to grade 12 and this Obstacle Course OCR Pursuit had online forms where I was signing with my finger!

We all had a heck of a workout.  It was a high end workout place with lots of ropes, spaces, and an insanely well thought out obstacle course.  I couldn't make it through without suffering penalties (I fell into a pool of soft plastic balls).

BUT - I did make it up this! (along with many other students..I was very impressed!)

My grade 12 student showed his parkour skills and went through the obstacle course in 1 minute and 30 seconds!  Super impressive!  He was invited to go back to do it when he turns 18 with OXYGEN DEPRIVATION MASKS as well as doing it while CARRYING TIRES with the option of using the CRYOCHAMBER OF NITROGEN gas.

To top it all off, the supervisors leading all of the sessions were all hipsters.  

High end, I tell you.  High end.

York Region's Biggest Conference - QUEST - My Reflections as a Presenter and Delegate

Well.  Here I am, after I delivered a workshop last Friday  and spent some time on the playground, exhorting the importance of blogging -  and... I'm blogging.  Sounds very hypocritical doesn't it?

Except, I was mostly presenting "STUDENT" blogging.  I was trying to encourage other educators, even myself, to continue on this journey of student blogging so that my students wouldn't just be writing for me or for marks, but rather write for a global, authentic audience.

And yes, even my workshop contained a global audience.  I always 'heard' that QUEST was becoming quite an international conference.  I could see that it was from the keynote speakers that were invited, but how about the participants?  Well, I used something called pear deck, which allowed me to interact with my audience members as they moved their red dot on their device to where they lived - now granted, I had 41 responses out of 60, and some of those responses were apparently from off the coast of Antarctica and the north pole, but I would hazard that most of these responses were accurate:

I then outlined a few ways to guarantee student and/or adult comments and views.  This would then encourage some intrinsic motivation to write.  Here's the handout:

I went to George Couros' session at the beginning of the QUEST conference on blogging to see if my presentation would overlap and it didn't.  However, as he was speaking, I realized, I probably should present his point of view. 

You see, I'm an introvert.  And he's like an extrovert.

He's convinced me to blog about my teaching and to create a portfolio of my progress as a teacher.  I am now, putting on my mask of extroversion, as Susan Cain would put it so that I can champion the things that I value the most - education.

As I was presenting my workshop, I started to convince myself of George Couros' words and here I am executing it.  I am now blogging.  My own workshop transformed me.

I hope it changed others as well. 

EDIT:  I just received a general congratulatory note from the organizer of Quest:  "Numerous congratulatory emails sent to me internationally, nationally and locally confirm the excellent planning, preparation, and delivery of Deep Learning in a Digital World. Keynote Speakers share with me their ‘WOW’!!! "  It makes me a little happy to be a part of this conference.

EDIT2:  Here is my QUEST workshop description to save it in my portfolio