Friday, 1 July 2016

Feedback and Finals: The Problem with Culminating Tasks

In the field of education, one of the big buzzwords right now is "growth mindset". In essence, it asks students and teachers to visualize themselves on a learning journey in which mistakes can lead us to interesting places and new opportunities for learning; where a positive attitude is vital and reflection and improvement are key.

And yet, we still have final exams and unit tests.


Of course we can't spend forever on a specific topic, but to end the learning with a judgement activity that gives no feedback other than a mark does little to inform a student or contribute to further learning.

Perhaps I am still fixated on my high school's motto from many years ago, which was "Know the Reasons". I certainly live with that idea firmly implanted in much of what I do. However, it seems to me to be an important concept for continued learning, reflection and critical thinking which are sometimes found lacking in wider society (not to name any recent political campaigns or such, but I'm sure we can all find a real-life example in which critical thinking was found to be lacking).

So how can we approach summative assessment while encouraging students to continue to reflect on their understanding beyond "the test"?

Some teachers allow for re-tests, although this is becoming unpopular in some circles. Many teachers opt for summative projects rather than tests or exams. some incorporate a self-evaluation into the culminating task. Are there other ways to approach this?

We've all seen it: student x gets back the test, looks at the mark at the top, then tosses it in the recycling bin never to be read or seen again. All of the notations and feedback on the paper are ignored, and an opportunity to learn from the assignment is lost.

This happens at all stages of a particular strand or unit, but is most common after the summative, perhaps because the student knows it will be a long time before they see that concept revisited. However, this is a valuable time in which to receive feedback because it is likely to address the student's highest level of understanding yet for this topic, skill or subject.

How do we get students to buy into such reflection?


The learning cycle is a lot like using a lint roller: every time you go over an area, a little
more stuff sticks. That also applies to reviewing all tasks. The mentality of "I'm so glad it's over, I never want to see x again!" is hard to overcome. Part of the issue may also be the idea that since the course has been passed (or not), the learning on that subject is no longer necessary or worth pursuing. When students see the report card or credit as the goal rather than the learning itself, the idea of review after the last task may seem pointless to them.

Some schools have a period of time in which students can go over their final exam or assignment with the teacher. Other ideas might include a class discussion over the classes website, Facebook page or other online discussion venues, or a scheduled drop-in time where students can meet with their teachers. Some teachers build a reflection component into the final task itself. Although it can also be argued that a little more time and feedback could aid in reflection, taking time to do so at all is still a positive step.

I am curious about how students in classes wherein a growth mindset is strongly and consciously embraced by the students might respond to such opportunities to receive more feedback and review/reflection when compared with classes who continue on a more traditional path.


Sunday, 26 June 2016

Life with Bees


My son and I have become bee havers this spring. I use the word "havers" rather than "keepers" since the bees pretty much take care of themselves. We've only been doing this for a couple of weeks so far, but I've already learned much along the way. 

It's an interesting and calming activity to share with a kid who has always had a fascination with nature and small creatures.


Honey bees, for the most part, are docile and will only sting when the hive is under attack or they perceive it to be. There are Africanized honey bees that are more aggressive, but those only survive in warmer climates much further south than Canada. Our bees are a mixture of various European breeds that have been bred locally for several decades.

Honey bees are not native to North America, but since their introduction, they have become very important pollinators, and much of our food is the result of pollination of honey and other bee species. They may be known for their honey and wax, but their true importance to humans lies in their pollination abilities.

Many people mistakenly call wasps and hornets bees, but they are very distinct species with different habits.

Wasp
Wasp nest--not that it is paper, not wax
Above are a wasp and wasp nest. Note that the wasp's nest is paper-based, not made of wax, and that while it has hexagonal cells and rows of paper comb, the overall shape looks like a round paper lantern. Below is a picture of a hornet.
Hornet

Below are some honey bees on comb, and below them is a bumble bee.


Honey bees, on wax comb
Bumble bee
Wasps and hornets can be aggressive and most stings people receive come from these insects. Bees tend to be more docile, although they will defend their hives.

If you have bees on your property, do not use insecticides or call a pesticide company. Instead, contact your local beekeeping association and they will very happily remove the bees. Everyone wins as the beekeeper gets free bees and you get the safe removal without the use of toxic products.


Most honey bees are female. There is the queen, who is central to the hive and the only bee that reproduces in most cases (occasionally worker bees can become fertile, but can only lay unfertilized eggs which become drones). The queen is an egg-laying machine who depends on several workers to feed her.

The majority of bees in a hive are worker bees, who take on different roles during their short lives, including nurse bees who feed and care for larvae, foragers, builders of comb, defenders, etc. All worker bees are female.

A small number of bees are males, called drones. Drones are slightly larger than workers, have no stingers, and their only job is to mate with a distant queen. 

On our recent visit to the apiary (bee yard), we noticed that the bees at the entry were being groomed by other bees from the hive. This is an important activity as it helps the bees keep down the number of mites in the hive. Varroa mites are a serious threat to honey bees, but healthy hives are able to keep down their numbers through various activities, including grooming.

Some of the bees watched us as we took out frames for inspection to determine the health of the queen. I would guess that they were trying to determine if we were a threat to the brood. Since we moved slowly and carefully and did not threaten the hive, we became more of a curiosity than a threat.

Since these are new hives, it is important for us to know that the queen is healthy and laying new eggs. If she stops, the hive will need to build queen cells and start making a queen. They do this by choosing young larvae to feed bee bread, which is a mixture of pollen, honey and various enzymes. This feeding difference is the key to determining whether a bee will become a queen or a worker bee. Several queens are created. Upon emergence from the cell, the quickest and strongest one fights off the others to become queen of the hive.

Those who have not visited a bee hive may think this sounds absurd, but watching the bees go about their business has a very calming effect on people. It certainly does for me (and I was very hesitant about the whole idea not very long ago!).






Wednesday, 27 April 2016

Coding With Kids

Being able to write code is one way to move passive app and game users into more active learning. Writing your own code puts you in charge of choices and provides basic skill development that could become crucial as technology expands exponentially.

Coding also helps students learn to communicate clearly and with precision, and requires an attention to detail not found in many other areas of communication.

The Hour of Code movement promotes the exploration of code writing by students of all ages in order to introduce coding in an accessible manner. There are many Hour of Code activities that can be done with kids who have no experience with coding. Here is a quick sampler of some of the activities I've tried with my family:

https://scratch.mit.edu/ A family favourite, Scratch is an intuitive drag-and-drop building block style programming platform that helps introduce basic programming logic, yet can be used to create some surprisingly complex programs. It is accessible to even primary students, but provides enough challenge to retain relevance for older students as well. Be careful though, this one is very addictive!

https://code.org/mc Minecraft is a game, yes, but here you can use another drag-and-drop block based programming platform based on Javascript in order to create an adventure for Steve or Alex.

https://www.khanacademy.org/hourofcode Like many other aspects of Khan Academy, the activities here are somewhat more prescribed, but may suit learners who find an abundance of choice to be overwhelming.

https://code.org/learn Here you can find many more activities, apps and also "unplugged" coding activities for Hour of Code that require no electronics whatsoever
. We have tried Rock, Paper, Scissors and enjoyed it without the use of any devices.

http://ai2.appinventor.mit.edu/ For students with some coding experience, MIT's android app maker may be of interest. Students can work with their android device, or use an android emulator on a PC to run their programs.

Grace Hopper, 1952


Where did it all come from?


Along with actual coding, the history of programming is also quite interesting.

In this clip from the 1970's Connections series with James Burke you can see how weaving looms led to punch cards which led to modern coding:

Much of modern coding was made possible by the early work of various female pioneers in the field. Grace Hopper create the first compiler, for example, which allowed binary input to be converted into a programming language.
The links below include interesting articles that highlight the contributions of women in the field, and also discuss how the demographic of the "typical programmer" changed over time:




Here is a blog post about how the act of knitting is closely related to coding:

The history and use of punch cards can be found here:

And for those who are particularly interested, here is an odd and long 1st-hand account of learning to program with punch cards in the 70's

Happy coding!

Wednesday, 13 April 2016

The Canoe Doesn't Care Who the Leader Is...

If it tips, everyone gets wet. 

~ as quoted by Ela Smith at the You Don't Know What You Don't Know Workshop series.


It's another way of saying "we're all in this together".

Most people are aware of the Truth and Reconciliation Commission Report and its 94 recommendations, but few Canadians are aware of the finer historical details leading up to it. Today I had the privilege of participating in the first two of three sessions aimed at educating professionals who work with children in my area.

I had thought I was relatively well-informed about the facts, but there was much that I learned today-- things that begin to help me make sense of why friends and students I have known have been reluctant to share their heritage.

When I was very young, the family that moved in next door to me had a daughter my age. We played together quite a bit. Her name was Marylee (or Merrilee? I was too young to worry about spelling at the time). There were several milkweed plants behind out houses, which shared a large unfenced yard, and we played with the sap and watched the monarch caterpillars and butterflies come and go together. We dug up worms together and watched them burrow back into the dirt. She tried to teach me how to climb a tree, and I brought out my dolls to play with her. I know it sounds cliche, but we really did make mud pies (and mud cakes, and mud pizzas) together. 
One day I heard my mom and grandmother talking about how that "Indian family next door from the reserve" had a problem with their son lighting fires around the neighbourhood, and after some deliberation, I was told I could play with Marylee, but not her older brother. Fair enough--who would want to play with a stinky older brother!

After we moved, I attended a new school and was instantly branded a troublemaker because during recess, I became very upset and agitated when the kids played "cowboys and Indians". The goal was to kill off the Indians! Marylee was an Indian! Why on earth would anyone want to kill her or her family?! Unfortunately, neither the other students nor the teacher on duty saw it my way.

We moved again, and soon after another family moved in beside us. It was a family with 4 kids. and the two girls were close to my age. We played together often, but I was a few months older than the eldest girl, and as result, I tended to become "the leader" in our play. I remember one day I crossed a line in my bossiness, and the girls went home and told their older brothers. They all came out and the brothers gave me a stern talking to. Being an only child, and having lots of toys, they saw me as spoiled. I saw them as a true family, united and strong, and I doubt they ever understood just how envious I was of them. I remember in that moment realizing that no toy I could ever own would ever match the bond they had as siblings, and it was perhaps one of the loneliest points in my childhood. I learned a couple of years after they moved in that their father was First Nations. I probably should have clued into this when they took me to Hagersville for ice cream and to visit to the uncle and grandfather on the reserve, but I was 8 at the time, so perhaps that is to be forgiven. The part I do remember is the way that whenever this came up in discussion, it was always spoken in hushed tones, very seriously, and very secretively. 

I grew up and became a teacher. More than once in my experience in teaching, I found out at the end of the year that a student of mine identified as First Nations. This was generally only revealed to me hesitantly or after knowing the student for several months, and still happens in this way even now. It saddens me that there is a silence and fear of revealing having such a rich and beautiful culture, and only after learning more, am I beginning to understand the role history has had in what can only be honestly described as cultural genocide. Generations of western immigrants and ignorant political and social policies and attitudes have made the original peoples of Canada become, in many ways, invisible and voiceless.

In Canada, in 2016, we have numerous communities without access to clean drinking water. We have housing issues, issues with mouldy, decaying schools and homes, high suicide rates, MMIW, and whole communities of students who have to face moving away from their homes and communities just to attend high school.

I did not know:
- about the "pass" system
- that there are 634 First Nations in Canada
- that homes on reserves are not eligible for mortgages and can only be purchased outright
- that "status" rules are in many ways discriminatory regarding gender
- that "status" "benefits" most often do not materialize--for example, although dentistry is supposed to be covered for status Indians, since the Federal government is less than punctual and reliable in paying for this, few dentists will honour it
- that not only were kids taken to residential schools and abused, but that they were often made the subjects of medical experimentation
- that kids were sent not to the closest residential school, but instead were sent an average of 6 hours away so that they would not be able to easily run away or see their families or communities
...and the list goes on.

Today, in discussing the history in more detail than I'd ever known before, and participating in the blanket activity developed by KAIROS, I am left reflecting on what I didn't know, what I still don't know, and my responsibility as a parent, teacher and Canadian to learn more in order to do my part in the reconciliation process. It took seven generations to get us here, and it will take seven to recover, and it is my responsibility and yours to help make that happen.








Wednesday, 23 March 2016

Pieces of the Whole

In working through activities for basic numeracy skills, the "pieces of the whole" idea keeps surfacing, regardless of what manipulatives or operations are being used. It started when I was looking through sock matching and sorting activities, in which two matched socks make a pair, with the "pair" representing a whole. It continued through Lego brick building, pattern block mosaics, and looking at everyday grid patterns such as are found in trays of cans, chocolate bars, golf balls, etc.

Whether you are working with addition and subtraction, multiplication and division, fractions or percentages, the concept of "part" forms a vital part of the math lesson.

Some examples:


In this chocolate bar, the whole is "5", so one piece is 1/5 of the whole. Fractions work when the size of the parts is the same for each piece. 
We can also share a single piece with 4 friends and have one left over to keep. 5 ÷ 1 = 5
We can break off two pieces to make the subtraction sentence: 5 - 2 = 3
and then add them together again to make the whole bar: 3 + 2 = 5



In this lasagne, there are 5 columns, of which one is missing. Therefore, 5 - 1 = 4, or, there are 4/5 of a lasagne left. We can also say that 20% of the lasagne has been eaten.



In this carton of eggs, there are 12 eggs. Two of the eggs are white, one is blue, and the rest are brown. 2/12 or 1/6 of the eggs are white. 1/12 is blue. 9/12 or 3/4 are brown.
2 + 1 + 9 = 12
We can also say there are 6 pairs of eggs, or 6 x 2 eggs in the carton.
If we only want to use the brown eggs, we can remove the others: 12 - 3 = 9
We can divide the carton by rows, columns, pairs of columns, or into two equal columns 3 eggs wide. In doing so, we can investigate factors of 12, and experiment with various potential common denominators when exploring related fractions, and explore equivalent fractions.

Parts of the whole form a basis from which we can build on many mathematical concepts. We can extend this for use when speaking of angles, while referring to the circle (360 degrees) as the "whole" from which other angles are compared. This is, in fact, exactly how pie charts work.


We can even take this into polynomials by calculating the area of a deck for a pool:
If the pool is 8 m x 15 m, what is the area of a deck that surrounds it if the width of the deck has a universal width of 4 m?
The pool and the deck together become the "whole" combining the area of the pool and the area of the surrounding deck. 

This concept, of parts making a whole, is also a vital part of integral calculus in which the area under an irregular curve is calculated.


Encouraging students to explore these concepts using mathematical terminology and sharing their discoveries can help in relating previous knowledge with new concepts.