Showing posts with label Algebra for All. Show all posts
Showing posts with label Algebra for All. Show all posts

Sunday, August 5, 2018

Khan Academy & Make it Stick

The last day of our Restore 360 training
I can't believe that there is only one month of summer break left!  My Instagram feed is full of fellow teachers (outside of NYC) who are busy getting their classrooms ready for the new school year.  I am definitely not there mentally yet, but I have been keeping busy this summer.  Two weeks ago I participate in a week-long professional learning on restorative practices in grades 9 - 12 on building belonging, Restore 360, through the Morningside Center for Teaching Social Responsibility, which I cannot wait to do with my advisory this year.

Last week I participated in two Algebra for All two-day electives, and am pretty sure I found my new 1st day of school activity for this year, Hashi Puzzles!  I need to flush it out a little more, but I think it will be awesome.

After two weeks of going to professional learnings, I am looking forward to sleeping in again - I mean, it is still my summer break after all.  I have also been working through the Edpuzzle Online Professional Development.  I finished Levels 1 & 2 and hope to start Coach & Flipped this week.  My principal also reached out to me this past week about helping out during our summer PD during the last week of August.  I will be leading the ice breakers during two of the days and a session on parent engagement.  The parent engagement session I am fine with, but anyone who knows me, knows I am not the biggest fan of adult ice breakers (insert eye roll here), but after thinking about it, I was able to come up with some ideas that I actually really like.  I haven't fully planned them out yet, but  hope to incorporate some of my Restore 360 practices, as well as some reflection from the MfA Summer Think a few weeks ago.     

My current summer read
In addition to Restore 360 and Algebra for All, I have also been keeping up with my summer goal of reading one math/teaching book for every two books that I read just for fun.  Today I started, Make it Stick.

The reason I decided to post just now though has to do with Khan Academy.  Since math teaching and learning goes hand-in-hand, I decided this summer to work through all the 8th grade and Algebra 1 math skills.  I have currently reached 81% mastery in 8th grade math and 24% mastery in Algebra 1 and hope to keep up with it and continue to work through Geometry, Algebra 2, Trig, etc as the school year goes on.

Just now, I was working through the Number of Solutions to Equations Challenge which basically
Khan Academy 
has to do with generalizing what you know about linear equations to determine if there are 0, 1, or infinitely many solutions to the system (I screen shot one of the questions on the right), and at first I hated the questions because I was going about actually solving them, but the more I worked through them, I realized that I didn't really need to solve them, but generalize what I know must be true for linear equations to have 0, 1, or many solutions.  Yes, this was something I already knew, but never really thought too deeply about.  Even though I understand and can make sense of linear systems of equations, working through these problems gave me the opportunity to really build on my prior knowledge and do some learning, which totally connects to what I have just started reading about in Make it Stick, that learning is "...acquiring knowledge and skills and having them readily available from memory so you can make sense of future problems and opportunities" (page 2).  Another connection I made from working though these problems just now and Make it Stick, is that it was an example of elaboration or "...the process of giving new material meaning by expressing it in your own words and connecting it with what you already know" (page 5).

I hope the next four weeks are just as full of relaxing, learning, and growing!

Friday, July 20, 2018

My Teacher Summer To-Do List

One of my favorite things about summer, by far, is not knowing what day of the week it is.  It truly is bliss!  But as much as I love not knowing whether it is Monday or Friday, I know that I am better when I have a to-do list to keep me organized, so here are some of the things I have done so far this summer, and some things I am working on...

Math for America Summer Think
Last week I attended my first Math for America Summer Think, which was inspiring!  The theme this year was "Identify Your Why," and we did a lot of reflection on our many "whys."  I got a lot of ideas from the Deep Dive and Splash sessions I attended:

  • Why are we learning this?
  • Why is independent learning empowering to students?
  • Why can't you talk about 'social stuff" in math class? and
  • Why do we need to listen to our students?
Being an MfA Master Teacher this past year has spoiled me from other professional learning because every time I participate in a MfA session I leave with new ideas about math and about teaching, and it inspires me to try new things in my classroom.  I am so grateful that I get to be #MfAProud!

Brilliant.org
Sadly Brilliant.org is not doing a 100 Day Challenge again this year, but I have been inspired to work on their Problems of the Week each week and I was even inspired to get a premium subscription.  I enjoy working on their math and science problems just for fun.  I really want to find a way to use this resource more in the upcoming school year.

Khan Academy & Teacher Training
I have been using Khan Academy in my classes for a few years now, and want to use it more effectively in the upcoming school year, so this summer I have decided to do my own summer math learning and work on all the 8th grade math & Algebra 1 skills, since that is what my students work on.  My goal is to finish all those skills and then slowly move my way up the math ladder, to refresh myself on higher level math, since teaching and learning goes hand in hand.  Plus this summer Khan Academy is doing online Teacher Training to get ideas on how other teachers use it in their classrooms, and I am about half way done with that and have already gotten some new ideas from it.

Learn Promethean
Unfortunately I learned about yesterday's Camp Promethean too late, (plus I had my Educating All Students exam yesterday to finally get my SBL certificate after 6 years), but I hope to check out their resources sometime before we go back to school.  Last year was my first year using a Promethean Board, but unfortunately we didn't get much training with it, and even through we figured out a lot, I know there is more we can be doing with it. 

EdPuzzle Certification
One of the resources that I knew about (and was reminded about at the Summer Think), but never really used was Edpuzzle and it turns out they have online professional development too, which I would like to check out before September.  Since getting my Google Certified Educator certificate last summer, I really want to bring in more tools and resources into my classes next year.

Jumpstart Basic
Speaking of technology, I also signed up for the JumpStart Basic technology course through The Cult of Pedagogy Classroom.  Although I am excited about this one, I am a little worried I might have signed up for too much this summer.

OSYD & Algebra for All
Next week I have Restorative Circle training for grades (6 - 12) at the OSYD Summer PD Institute and then the following week I have my Algebra for All elective on course on creating access points through the use of tasks.  Unfortunately there was a mix up with registration and I wasn't able to sign up for the second course, but at least I will get my new document cam thanks to the A4A teacher technology grant I applied for in the Spring.

Apartment Organizing, Fit Girl 28 Day Jump Start & Dave Matthews
So not everything has been work-related this summer (although from the look of this post they are) but some non-work things I have been working on this summer include hiring an amazing professional organizer to help me declutter & organize my apartment... we worked together this past week and my apartment feels brand new and I am completely inspired to keep up with it.  I also joined the Fit Girl 28 Day Jump Start Challenge to get my butt into gear physically, and my husband and I went to not 1, not 2, but 3 Dave Matthews Band shows and finally got to hear our wedding song played live, which was nice.  I also finally got to see Ocean's 8 (which I enjoyed) and have read three books so far this summer.  Oh yeah, and I figured out how to free up literally half of my MacBook Air storage, so not only is my physical space more organized, so if my digital space, which I am really happy about! 

Yep, you really gotta love being a teacher in the summer ;)

Friday, September 22, 2017

First Week Activities, #Teach180, MfA, A4A, Electives, Challenges & Australia!

Happy first day of Fall!  Yes, in just about three hours summer 2017 will officially be over and fall 2017 will begin.  Of course, as a teacher, summer really ends the day we go back to work after Labor Day, so it has unofficially been fall for a few weeks now.  I've been meaning to get on here sooner, but have just been so busy with back to school things, that I am only getting around to it now.  Oh well, better late than never.  So here it goes, my back-to-school post 2017:

First Week Activities & Beginning Our First Units
This year I have it a little easier than last year.  I am only teaching one 7th grade class and two 8th grade Algebra 1 classes (as well as advisory three days a week and the Memory Makers elective once a week).  Two of the three classes I teach this year are the ICT classes.  Since I taught all grades last year, I am looping with my students, so I already knew all the students in my classes on day one, and I am literally teaching half the number of students as I had last year.  After my Algebra for All professional learning over the summer, I really want my focus this year to be on problem solving and positive math norms.  This year, in order to make that happen, I wanted to structure my first week activities to promote both of those things.

Day 1 all three classes did a couple of Build It Get it Together group tasks, which is always one of my favorite ways to start to year, emphasizing group work, problem solving, and communication skills, plus my students got to use the brand new unifix cubes that I got over the summer!  Day 2 consisted of the 100 Numbers Task (again group work & engagement) and our first Problem of the Month (which I got introduced to this summer at Algebra for All) on Touchdown Totals.  Instead of have an optional problem of the week for students, this year I am going for deeper problems that all students will get started on in class, and then have the option to keep working on for the rest of the month and then turn in for extra credit.  My reason for going in this direction was to promote deeper, scaffolded problems, and remind students that mathematicians can work on problems for days, weeks, months, and even years, and emphasize that depth is more important that speed.

On day 3 (aka the beginning of week 2) I formally gave out my syllabus in my classes and I introduced my students to our Positive Classroom Norms from Jo Boaler.  I printed them out and posted them in my room and have been emphasizing them as often as I can.  On Day 4, we warmed up with our first Visual Pattern chat and then worked on the Noah's Ark problem, to again promote problem solving, and creativity and sense-making.  Plus, it was a great assessment to see how different students approached the problem, from using the manipulatives to guessing and checking, to writing full on system of equations.  Day 5 was probably the most boring of the days, since that was the day my students took their baseline assessment, although, I will say, thanks to the new math teacher at our school who introduced me to Zip Grade, before the end of the day, all 64 of my baselines we graded, and I was able to look at the item analysis.  Yes, I think Zip Grade is going to make my test grading this year much easier.

The last five days we began formally working on our first CMP3 units of the year.  7th grade started with Accentuate the Negative (integers and rational numbers), as usual, and 8th grade started with Looking for Pythagoras (the Pythagorean Theorem), since I did Thinking with Mathematical Models with them at the end of last school year.  Even though we are using the CMP3 units, I have been supplementing with other resources, for example, this week my 8th graders did this Illuminations task on irrational numbers and then explored some Illustrative tasks on rational and irrational numbers.  My plan is not to spend too much time on this unit with them (since it isn't a major regents topic) so that we can get to Growing, Growing, Growing and exponential functions.  As for 7th grade, I do want to take this unit slowly since working with integers and rational numbers is a big topic, and I want to make sure that the foundation for these topics is solid.  As for bigger projects, I am excited for the 8th graders to make their Wheel of Theodorus spirals and for my 7th graders to play the stock market.  Lastly, I also started introducing Regents Warm Up questions to all of my classes, so every Friday their Warm up is from an old Algebra 1 regents exam, as a way to get them familiar with the structure and types of questions on the exam.

#Teach180
Another one of my goals this year is to be more accountable on here and participate in #Teach180, and post a picture from my classroom each day in order to inspire and learn from others, and I am happy to say that 10 days in, I have kept up with in on Twitter so far.  Not only have I posted, but I have also gotten some great ideas from other math teachers!  I would encourage any teacher looking for ideas to try it.

Math for America, Math Chats & Algebra for All
Obviously one of the things I was most looking forward to this year (and for the next four years) is being a Math for America Master Teacher.  Not only is this something that I wanted and had to work hard for, but I *know* that it is going to make me a a better math teacher.  We had our orientation a couple of weeks ago, and I had my first PLT meeting this week, and it is already giving me so many inspiring ideas!  My PLT is on Math and Social Justice, and not only do I have some new ways to incorporate social justice into all of my classes, but I am just humbled to be around all of these amazing STEM professionals.  I also started reading For White Folks Who Teach in the Hood, since a fellow MfA teacher in my PLT recommended it, as good read to get into the social justice mindset.

Speaking of MfA, the former Living Environment teacher at my school, and fellow MfA Master Teacher, shared with me something she is doing with her classes this year, and is something I am thinking of brining to my classes.  This year, she will be doing Science Fridays with her students, structured similarly to the presentations that we had to give as part of our MfA interviews, where we present for 10 minutes on a topic that we have researched on our own and found interesting.  Her students will obviously be doing science topics, and I think I am going to have at least my 8th grade Algebra 1 students present on math topics.  She even shared her outline and rubric with me.  I love the idea because it promotes students researching something that they really might be interested in.  I think, for now, it will be optional, since it can be hard to present to your peers in middle school and in math (I don't think I would have been able to do it when I was in middle school), but I think it could really great both for students presenting and the audience.  Not to steal her thunder, instead of Math Fridays, I am thinking of calling them Math Chats and letting students sign up for dates.  I will model for them my own MfA presentation on nonEuclidean geometry and even give them class time to research their ideas.  I think this is going to be great!  

I also signed up for my five Algebra for All professional learning dates this upcoming year.  I really got a lot from the summer sessions, and hope that the sessions during the year are just as great!

Memory Makers & NJHS 
So instead of doing the Math Counts Club this year, I am going with something new and my elective will be Memory Makers, which will mainly be about producing the middle school yearbook, as well as scrapbooking and photography.  I am excited about it because I have always wanted to have a scrapbooking club, but it would be my first time putting a yearbook together, so I have lots to learn.  When students signed up for their electives, Memory Makers was the third most popular choice, which was also kinda neat.  I think it'll be fun.

Also new this year, I will be the advisory for the National Junior Honor Society, which is new to our school this year, so again, lots to learn, but I think it will really add to our school community.    

Challenges this School Year
No school year is ever without challenges.  We lost a lot of great teachers last year, which means we have a lot of new faces this year, including a new assistant principal.  We are still adjusting to being a growing school, in two different co-located buildings.  We graduated our first class last year, who were very successful, but this year we have almost twice as many students graduating.  Our online grading system is still not up and running and most of us got new Promethean Boards in our classrooms, without any training on them.  And, most importantly, we have our students who come to us and deserve engaging lessons, our support, and with the typical challenges of navigating middle school.  We definitely have our work cut out for us this year, but I am confident that we will make it though, and maybe even have some fun doing it.

Australia
Last but not least, I couldn't end this post without sharing what an amazing time I had this summer in Australia.  My husband and I went there for two weeks, and what a fun, beautiful, exciting country.  We climbed the Sydney Harbor Bridge, we caught a show at the Sydney Opera House, we snorkeled in the Great Barrier Reef, we saw kangaroos, koalas, and echidnas, we explored the rainforest, we flew in a hot air balloon, explored some amazing cities, and met some even more amazing people.  Even though it was sad to leave, it was a lovely trip, and a great way to end our summer, and come back to work, even more inspired than ever.

I think this school year is going to be pretty fantastic!

Monday, August 7, 2017

A4ANYC, MfA, MTBoS Goals & First Day Plans, Google Certification, 100 Problems, Swimming, & Teach180

A fellow teacher friend of mine posted this on Facebook earlier today:

"Oh Pinterest... its that time of year again... time to get my creative juices going!"

Yes, indeed she is right.  Don't get me wrong, I am loving this summer break, but with many teachers in other parts of the country setting up their classrooms and starting up the new school year, it's hard to resist that spark of excitement that comes with a new school year (especially when technically it is still a month away and there is still lots of time for fun summer non-work-related adventures!)  I have been tweeting a lot more this summer, and I have done a lot of work-related things, but there has definitely been a balance between work and life, which is always the goal (now if only I can make that last all year and not just July & August...)

Algebra for All & Math for America
Last week I finished up the Algebra for All Summer Institute, and next week I have one day of professional learning at the Japan Society.  Overall, the 12 sessions at Algebra for All were really good.  We also have five sessions throughout the school year and then we come back together again next summer.  The sessions were a good balance of content and pedagogy, which was a nice split between between being a math student and being a math teacher.  It made me really excited that I will also be starting my first year as a MfA Master Teacher Fellow (I officially signed my Fellowship agreement last week) and I will continue to grow as a math teacher and learner between the five A4A sessions and the 7+ MfA sessions.  Part of the last week of A4A was planning for the first day, week, and month of school.  September has 15 school days, and as of right now I have half of them outlined.  Since we are going away the last two weeks of August, I have this week and next week to get as much planning for September in before we go back after Labor Day.

MTBoS #SundayFunday #PushSend Goals & First Day Plans
Speaking of the first day, the MTBoS is bringing back #SundayFunday.  I did one of their blogging challenges back in January and found it to be very helpful to "force me" to take a step back and write on here each week.  Last week a lot of MTBoS teachers posed about their goals for the 2017 - 18 school year, so here is mine: problem solving.  I want the focus of this upcoming school year to be all about problem solving.  Going into this year, I will (probably) only be teaching 7th & 8th grade Algebra 1, and I feel good about it - I mean last year I somehow managed to juggle teaching 6th grade, 7th grade, 8th grade Algebra 1, Math Club/ Photography Club, and 6th grade Advisory and all my 8th graders passed the Algebra 1 Regents, so I felt good.  I was inspired by a lot of things at A4A including SVMI's Problem of the Month, the new Illustrative math curriculum, YouCubed's positive math norms, math routines, math talks, and using the mathematical modeling process to explore problems and at the heart of it all is problem solving.  To help support my goal, currently my first seven days of school include: Get it Together problems, intro to our first POM, reviewing the syllabus and positive class norms or Algebraic Habits of Mind, our first math talk,  possibly a three act task, a Week of iMath problem or two, and lastly our formal baseline assessment.  Last year, my students took their baseline on day 4, and this year I moved it back to day 7, especially after reading this article, The Math-Class Paradox.  We won't even look at textbooks until day 8 and I am proud of that.  The nice thing about looping with students is that you already know them and they know you, and since I was their teacher last year, I know what was covered and what wasn't.  My new 8th graders are a full unit ahead of where my 8th graders were last year, and I plan to use that wiggle room that I built in for myself last year as problem solving time this year, so I am excited for the things to come.  I do want to be mindful that saying and doing are two different things, but I am fairly confident going into this year that I can make problem solving in my classes a real priority.

Google Certified Educator Level 2
Last year I decided I wanted to finally be a Google Certified Educator.  I started the Level 1 modules last summer and never got around to finishing them until two weeks ago.  I took the Level 1 certification test and passed.  Then, another teacher in a Facebook group that I am a part of posted about how she dad taken Level 1 and Level 2 back to back and passed, so I decided why not go for Level 2?  As a teacher who has used G Suite for Education for the past six years or so, Level 1 made sense.  Level 2 though introduced me to so many new features that I had never even heard about!  I learned so much, like Google Arts & Culture and Google My Maps, so Friday I went through the modules, and took the certification test and will be going into next year as a Level 2 Google Certified Educator!

#100Problems in 100 Days 
Still loving Brilliant.org's 100 Day Summer Challenge!  I appreciate being a math learner.  Something I have noticed about myself is that sometimes (very much like my students) I know how to get an answer, but I don't know how to "show my work" or justify my solution.  I will be working through a problem, come up with a solution, but not necessarily be able to explain that solution or show my process in a way that would make sense to another person - I mean, it makes sense to me, but I doubt it would be fully clear to someone else.  The math teacher in me says to "show my work and make it clear", but the student in me (sometimes) says "if it makes sense to me, and I know it's right, why do I have to?"  It has made me mindful when working with my students that doing math takes work, not just in content, but in practice.  Learning something new has been a pretty powerful experience.

Learning to Swim
Speaking of learning something new, earlier this summer, when I made my Summer 2017 Goals, one of them was to learn how to swim.  Yes, I really didn't know, and decided that this would be the summer to change that.  So I signed up for four one-on-one classes at my local pool, and could definitely could see progress, but I still wasn't fully there, so I signed up for a month-long membership at my local pool, and have been going on my own as often as I can.  I am definitely not ready for the Olympics, but I can happily (and proudly) say now that I can do several laps on my own, even in the deep end.  Like the 100 Problems in 100 Days, this whole experience has really made me aware of what it takes to learn something new, specifically that I needed the support, encouragement, and feedback of a teacher and time to actually practice on my own.  I had to take an active role in the learning process.  I needed the guidance of a teacher who supported me and then I needed to get in the pool on my own and practice, practice, practice.  Also, I was actually in the pool, with my teacher for each of our sessions together.  Learning math, like learning to swim requires supportive, encouraging teachers who can give useful feedback while you are actually doing math.  I would not have made as much progress as I have if I had a teacher who demonstrated for me how to swim and then expected me copy her.  I also would not have made as much progress if I hadn't actually continued to practice swimming on my own.  There are just so many parallels between learning math and learning how to swim and I am grateful that this experience has put me in the learner seat.  If you had asked me two months ago, if I enjoyed swimming, I would have said "not really" because I didn't know how and there was no way I was going into the deep end of the pool, but turns out, I really do enjoy it.  I enjoy seeing how far I have come, building on my skills, and having something to work towards.  My goal is to be mindful of this experience of learning something new all school year and allow my classroom to be the "pool" - where we are *doing* meaningful problem solving, and I am supporting my students, each at their own level, encouraging them, giving them the feedback they need to push their own learning, and at the end of the day, having fun.

#Teach180
Lastly, one of my favorite math bloggers, does something called #Teach180 which is a challenge to post one picture from your classroom each day in order to inspire and learn from others.  It is a no pressure challenge, but I like the accountability, since blogging everyday is unlikely, but tweeting is doable.  I am excited to see where this goes and to see what others are doing.  Making my twitter account professional and public last year really was one of the best forms of professional learning I have done.

Tuesday, July 25, 2017

Algebra for All, Google Certification, 100 Day Challenge & MfA

Here we are, in the thick of summer break (even though the past two days have felt more like Fall).  As we approach the half way point of summer break, I wanted to take some time to reflect on Algebra for All, and my own mathematical learning, so here it goes...

Algebra for All
Last week we wrapped up week 1 of Algebra for All.  Some of my big takeaways were how can I be strategic during the summarize part of my lessons, using the 5 Practices for Orchestrating Mathematical Discussions.  I am confident in my ability to anticipate, monitor, and connect student work, but need to be more strategic in the selecting and sequencing.  Although I have gotten better and selecting which student work I want my classes to share and discuss, there are still times I simply open up my summary to any student that wants to share.  So a goal of mine next year is to be more mindful of that.  I also want to incorporate more Three Act Tasks into my classes.  

This week we started our first round of electives.  Yesterday and today I had Routines for Building an Algebraic Learning Culture for Struggling Learners with Metamorphisis TLC, and tomorrow and Thursday I have Conceptual Approaches to Algebra in Secondary Mathematics with Bill Jacob.  Next week I have my last two electives, Problem Solving with SVMI and Developing the Habits of Algebraic Thinking and Problem Solving with CUNY Collaborative.  My big takeaways from my first elective is how can I promote mathematical habits of mind and the CCSS MP through math thinking routines?  I already use a notice/wonder routine with my students, so I would like to continue to use that.  I love the "What could the question be?" routine, where you present students with an image or scenario without a question, and they have to come up with what the question could be.  I love this idea and cannot wait to bring this routine into my classes next year.  We also explored the "Which one doesn't belong?" routine, which I enjoyed and think I may even use it on day one in September.  All of these made me think of how can I support my students in making their thinking visible and how can I support their understanding of mathematical structure?  Overall I reflected on the constructivist-transmissionist spectrum and where do I fall, and more importantly, do my actions in my classroom, align with my beliefs?

Google Certification
Finally finished all the units in the Google Educator Level 1 training and signed up to take the certification exam within the next seven days.  After wanting to get certified for the last year, I hope I will finally be able to cross this off my to-do list.

100 Day Challenge
I am finally all caught up in Brilliant.org's 100 Day Summer Challenge and I am still loving it!

MfA 
Lastly, it is kind of important for me to be able to post this this week.  One year ago tomorrow, I found out I didn't get into Math for America and I was super bummed about it.  Looking back, it really put a damper on my whole summer.  I think it's important to recognize that (temporary) failure.  It's nice to be able to look back at that experience and see how far I've come, getting into MfA this year and growing both as a math teacher and math student.  Man, does it feel good.     

Monday, July 17, 2017

Algebra for All, 100 Problems in 100 Days and Edgy Summer Reading

Algebra for All
Today was the first day of the Algebra for All Summer Professional Learning.  I am excited to be a part of the second cohort of math teachers in NYC who are committed to improving math instruction.  The goal of this institute is to have every student complete algebra no later than then end of 9th grade and to provide every 8th grade student access to an algebra 1 class.  As a middle school math teacher, who teaches 8th grade Algebra 1, this is a core part of my teaching life.  The institute consists of twelve days during the summer, five days during the next school year, and five days next summer, and focuses not just on pedagogy, but our own content knowledge.

Today we explored the Handshake Problem and Border Problem, both of which I have used with my students this past year.  Part of this first week will also involve a book study of 5 Practices for Orchestrating Productive Mathematics Discussions, which I've been wanting to read, and goes nicely with the other book I am reading this summer, Fostering Algebraic Thinking.  In fact, we even discussed Driscoll's Algebraic Habits of Mind.  Jo Boaler's work on the importance of visual mathematics also came up today.

100 Problems in 100 Days
This summer I am also doing Brilliant.org's 100 Day Challenge.  I started last week, and am up to day 35.  I am really enjoying spending some time to work through these problems.  I especially enjoyed working through day 3, day 28, day 32 and day 34.  Exploring these problems is allowing me to challenge my own mathematical thinking, and be comfortable with my own disequilibrium.  Some of them have been fun, and some have gotten me frustrated, but I am grateful for the opportunity to do math as a practitioner, and not just the teacher.  Exploring these problems has also made me think of the importance of doing math problems, just for fun.  When I am choosing problems for my students to explore, it is always with a content goal in mind, for example, we would explore the handshake problem during our unit on quadratics because it can be represented by a quadratic function.  There is a specific goal I have in mind... a specific place I want my students to get to.  But does it have to be that way?  Why can't we just explore a problem because it's fun and interesting and not a traditional problem from on exam?  Don't get me wrong, as teachers we have limited time and resources and we must be purposeful with what we bring into our classes, but exploring problems like these just for the sake of stretching our mathematical brains and problem solving and thinking logically and having fun (dare I say it... without a specific, content-driven learning objective on the board) has a tremendous value.  A part of me of me is both terrified and beyond thrilled to try this next year.  How awesome would that be?

The Rebellious Teacher's Edgy Summer Reading List for 2017
Speaking of being rebellious, a colleague of mine posted this list a couple of weeks ago, and since I am always looking for a good book to read (and ways to incorporate social justice into my curriculum), I decided to check it out.  Turns out I had just finished Homegoing, so I decided to read The Hate U Give.  I loved both, and both hit on some petty big, and important issues about race and identity.  I think my next summer read will be lighter, but will try to also squeeze in The Handmaid's Tale before the end of the summer.