Education ∪ Math ∪ Technology

Year: 2011 (page 10 of 28)

Peace One Day – What can we do?

I just watched this amazing TED talk by Jeremy Gilley.

 

I thought to myself, what I can do on this day to support peace? I’ve decided that one thing I will do is blog about peace, and share Jeremy’s message with everyone I know. I’m going to share the idea with my students, and we will brainstorm ways we too can get involved. World peace isn’t the job of one person, it’s everyone’s job.

I’d like to invite all of you to make similar vows. Follow @PeaceOneDay on Twitter and offer them our support. Use the hashtag #PeaceOneDay to share your blog posts about this idea. Share this idea with your students and ask them, if just for one day, can they set aside their differences and be at peace with each other? Can we set aside our differences as adults and be at peace together, at least for one day? Let us all set aside September 21st as a day where we all work toward peace.

People are (not) born bad at maths

There is an article in Telegraph newspaper, shared with me by @bucharesttutor which suggests that people are born bad at mathematics. While this may be true, the research cited by the article cannot be used to make this claim.

From the article:

The research, led by Dr Melissa Libertus, focuses for the first time on children too young to have had lessons in maths.

Dr Libertus said: "Our study shows the link between ‘number sense’ and maths ability is already present before the beginning of formal math instruction.

"The relationship between ‘number sense’ and maths ability is important and intriguing.

"Maths ability has been thought to be highly dependent on culture and language and takes many years to learn.

"A link between the two is surprising and raises many important questions and issues."

During the study, 200 four-year-olds underwent several tests.

The problem with this article is that it makes the claim that this means that the ability to do math could be inborn. In fact, the article goes on to claim:

According to the research team, this means that being good at maths could be inborn.

There is a serious flaw in this research. By the time the kids are 4 years old, they may not have had any formal math instruction, but they have had lots of informal math instruction, from their parents and other adults in their lives. It’s possible that this is accounted for in the research, but it is not mentioned at all in the article. Articles like this make me upset because they are intended to be sensationalist, rather than really informative.

My son and I play numerical games. We play Go Fish, and roll dice as part of board games. We count everything. We count in 2s and 5s and 10s. We play with blocks and build intricate patterns. We talk about fractions, and split halves into halves to get quarters, add up halves to get wholes.

We play a game that @JohnTSpencer suggested which we call "How can we get ____?". I choose a number, and my son tries to figure out a bunch of different ways to get that number through addition. For example, I’ll ask my son, "How can we get 7?" He responds with, "Uh… (thinking) … 1 and 2 and 2 and 1 and 1 is 7!" I’ll ask him, "What are some other ways to get 7?" He’ll come back with, "Uh… (more thinking) … 1 and 1 and 1 and 1 and 1 and 1 and 1 makes 7. Also, 2 and 5 makes 7!" He used to use his fingers a lot when playing this game, but he’s switched to doing it in his head. He then gives me a number (usually much larger) and I model playing the game as well, talking aloud when I’m "figuring out" how to make the number he’s given me.

The point is, because I am mathematically numerate, I pass along this numeracy to my son through informal conversations and numeracy games. One cannot assume that simply because children have no formal mathematics instruction that they have no math learning. Our world is filled with mathematics, and the people who recognize that will share it with kids. By the time kids are 4 years old, they will likely have had literally thousands of interactions with numeracy.

We will never end bullying in our schools

We will never end bullying in our schools while we accept it in society.

 

Children learn from the examples set by adults, and we provide many examples in society of how we tacitly accept bullying. Question period in Canada is brutish and childish. Listen to the video above, and tell me that these men and women are setting a good example for our children.

Professional sports, particularly hockey, allow bullying of players and full-scale violence to occur. Listen  to the people cheering in the background of the video below! How can we possibly end school-yard violence when we embrace it in our entertainment?

 

Glenn Beck, a horrific talk show host who was finally removed from the Fox network, was allowed to spew his hatred for years before he was finally pulled from the air. Why was he allowed to bully people for so long on the air? Why did we allow Ann Coulter to bully gays and lesbians for so long on the radio? Why is it that (great) projects like the "It Gets Better" project take so long to happen in our society?

 

We must remember that children do as we do. This message really hits home if you watch the video below (shared by @jenmarten).

 

I’m okay with doing everything we can to end bullying in schools. I just don’t think that we should pretend it will make a damn bit of difference while we continue to accept it in our society.

Math in the real world: Leaning Plants

This is another post in my series on math in the real world.

 

View all pictures

 

When plants lean over due to being pulled by gravity, they often form a similar shape. With some exploration, we can determine what shape this is (at least approximately). First, I opened up one of these pictures and embedded it in Geogebra. Next, I added some points to my diagram, following along the shapes of one of the plants.

Next, I exported these points over to MS Excel, so I could find a regression on the points. A quick glance at the shape the curve seemed to be representing suggested I should try fitting the points to a parabola.

Graph of points - parabola regression model

The shape does appear to be a parabola, however, I know from experience that not all parabolic shapes are what they appear. For example, a hanging line is actually a catenary.

What would you have to do to confirm that this shape is a parabola? Is it possible that it is only approximately a parabola?

 

What do we need algebra for?

Thanks to the @OpenCulture blog, I got to listen to a very interesting interview with Keith Devlin. Keith argues that kids need algebraic reasoning, and arithmetic, to a point. He doesn’t say kids need to be able to do pencil and paper algebra, in fact, he has a very interesting argument for using spreadsheets more often in schools. Listen here:

What would you suggest?

I received this email through my Vancouver Public library account. With permission, I’m sharing this you here, so I can try and find some resources for this teacher. I’ve tried to remove information which could identify this person, since they would prefer it that way.

Good Morning, I read your list of resources for special education. I am from ***********, ********, and this is my first year teaching special ed after finishing my Masters Degree. I teach 16-18 year old boys who have committed assault and sexual assault crimes, served jail sentences or received parole, and are now in a residential facility as part of their parole or probation agreement. The high school I teach in is actually PART of the facility they are in and I am employed by that facility as a teacher. I teach [some math and history courses] though I can and have taught other subjects as well. The young men I teach are often angry, violent, and can(and do) blow up at the least provocation, making threats, yelling, or even hitting teachers, other students, or other staff. We have a lot of students who were in gangs, students who have severe post traumatic stress disorder, etc. The reason I emailed you is because I am looking for some resources from another special education teacher, educational or otherwise, that can help me teach these young men or otherwise work with them. I am wondering if you have any ideas. Thank you! *******

I emailed the teacher back, and gave her my personal email address, and she sent me this additional information.

…I guess my biggest problem with teaching these guys is that I am … small … with no military, police, or other background. I was a preschool teacher … before getting my Masters Degree and taking this job. I do feel that this is what I want to do the rest of my life and have felt like this after pretty much a few weeks on the job. I am good at building rapport with these guys. However, rapport only takes you so far as far as these guys are concerned, since they get angry and violent anyways. We’ve had broken windows, desks thrown across rooms, someone who had to have a skin graft when hair was ripped out of their head after being dragged by the hair, a student attacking another student in the cafeteria and kicking them in the head, seriously injuring them, etc. Every week brings something new. The offending student is usually punished by being confined to his room on the unit for a number of days(if its not too serious) or being sent to jail for anywhere from overnight to several weeks. Sooner or later, even if you have good rapport, you’ll have to administer a serious consequence that they don’t like or help with a restraint and then the rapport is gone. We have students that actually hate to the point of despising certain teachers, assistants, or unit staff. For me, it’s hard to know what to do in which circumstances or if I’m pushing too hard on someone or not hard enough and letting them get away with stuff.

The teacher sent me some other information about the school, and how they manage their students. It sounds like an incredibly difficult experience, and not something I’m very familiar with. The level of violence I had to cope with when I worked in NYC was nothing like what this person is describing.

What resources would you suggest this person look at? So far, I’ve suggested they check out #spedchat, and they’ve looked at a list I created on the VPL called "Education must reads." 

Math in the real world: Relationships

This is another post in a series I’m doing on math in the real world.

5 generations of women

Image credit: mvplante

There is a lot of different types of mathematics in family relationships.

For example, each generation you go back, the number of ancestors you have increases exponentially. This works, of course, since we all have a lot of overlap on our ancestors, and eventually everyone is related to just one person, a woman named Eve who lived in Africa many years ago.

You can also look at the probability of relationships forming, based either on interest, or on type of friendship building activity in which you participate. When we want to form relationships, we tend to participate in high probability activities, like drinking with friends at a club, or discussing books during a book club. My friend noted that the probability of a couple forming strong relationships with other couples where they have similar interests, everyone gets along with each other, and each member of the couple has a compatible schedule is actually rather low.

Disfunctional family

If you look at the relationships of the families themselves, you can draw graphs of the relationships where the circles in the picture above represent people, and the lines between the circles represent the relationships between the people. Would you say that this is a functional family, or not?

Good leaders, bad leaders

I’ve worked in 4 different schools in my 9 years as a teacher, but under 18 different administrators. Yes, that’s two different administrators per year, on average.

Some of those administrators have been good, some of them have been bad. Some of them have inspired me, some of them have only inspired fear. Some of them have helped move the school forward, and some of them have been incompetent.

A general trend I’ve noticed is that the good leaders know how to help teachers implement good ideas, and how to politely point out the flaws in bad ideas. The good leaders have trusted teachers as professionals and have never acted from a position of authority, but instead from a position of moral leadership. The good leaders have focused on the question, what is best for the children, rather than what will make me look the best. Good leaders develop leadership and actively encourage it.

The bad leaders have squashed ideas, failed to follow through on their promises, and acted without reason. They have shown up 8 months late for meetings and tried to set the agenda for a group, and disciplined teachers for dropping pencils. Bad leaders treat attempts at leadership from their subordinates as challenges, rather than opportunities. The bad leaders have enacted policies that will not work, have been proven not to work, because they apparently lacked the imagination or the drive to do better.

Bad leadership can be disastrous for a school, whereas with good leaders, you are often unaware of their presence, everything just works.

I know this post isn’t so much about technology leadership so much as just leadership, however, good leaders encourage innovation, and bad leaders have no idea what innovation looks like.

Build capacity in schools

I highly recommend finding an hour and watching this video (Thanks to @KenMLibby for sharing it). In it, Dr. Pedro Noguera shares some examples of effective ways we could change schools and speaks out against the ineffective reforms that have been enacted in the US for decades.

Note that much of what Dr. Noguera suggests could be implemented in the high poverty schools in Canada just as easily as the US. I don’t think we have as much difficulty with highly scripted instruction here in Canada, thankfully, but we do have a huge child poverty problem, and it behoves us to look at ways we can help our children as much as we can.