Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Wednesday, May 9, 2012

Turning Coral Conservation into Child's Play


I haven't posted in quite a while.  I wish I could say it was due to Screen Free Week and my virtuous decision to eschew all things electronic, but it wasn't.  It is because I've been so busy with the Cards, Coral & Kids campaign for my son's environmental awareness group, Healing Oceans Together (H2O).

The idea behind this project, which is to create a Pokemon-like card game that would teach people about coral reef life and ecosystems and actions they can take to help the corals survive, is explained here and here, so I won't go into that again in my blog.  What I wanted to talk about here is some of the thinking behind the project.

You know, young teens are interesting creatures.  They are old enough to realize some of the problems with the world, and most are hopeful and confident about being part of the solution.  They tend to be really into Earth Day and recycling, Save the Planet, Stop Global Warming, Protect the Rain Forests, and the like.

And yet, on a daily basis, we are still telling them "Shut the Refridgerator Door!"  "Turn Off the Lights when You Leave the Room!"  "Don't Leave the Computer Running All Night!" or the frustrated but perhaps dangerous question of "Why Does it Take You 30 Minutes of Running Water to Take a Shower?"

Maybe it's different at your house.  But for many of us, our children's grand rhetoric for saving the planet doesn't match up with their everyday life habits.  Of course, that's really true for most of us adults as well...

In H2O, the students have been studying ocean science and math since September.  We decided to hone in on coral conservation because coral reefs are really the marine equivalent of rain forests.  Although coral reefs only make up about 0.1% of the oceans, they are home to approximately 25% of all marine life!  Also, corals take a long time to grow, so our damage to reefs that may be hundreds or thousands of years old can not be replaced within many of our human generations.

But what to do that would make a difference?  There are already tons of books and videos and ads and educational resources on this issue, but people continue doing what they've always done.  As parents, we've trying nagging, threatening, bribing, begging, and everything short of bloodshed, and yet...we, too, are largely ineffectual.  So we needed to come up with something else, something new.

And then we had a brainstorm.  Instead of using guilt and threats and dire warnings of environmental catastrophes, what if we made saving the coral reefs fun?  What if we made it....into a game?

In approaching it this way, we were influenced by the work of Jane McGonigal, whose work is summarized in a video I included in an earlier post.  Her video on that page, a TED talk on how "Gaming Can Make a Better World," is a synopsis of her wonderful book, Reality Is Broken:  Why Games Make Us Better and How They Can Change the World.  In short, she argues that time people spend on video games actually helps them develop positive characteristics (such as working hard, cooperation, and optomism), and explores how to structure games so that we can channel all the time people spend playing games into social activism games that will help solve Earth's real-world problems.  It is a fascinating and inspiring book, and I recommend it highly.

So, in short, that is what we are trying to do with this game.  First, the game will teach students (and adults as well) the real science behind food chains and interlocking ecosystems in the coral reefs.  We think this is important because we think if people knew more about all these fascinating creatures, they would love them, and we take care of the things we love (for more of our philosophy on that, read the Family Educators Commons article that Maria Droujkova and I co-wrote on the Shareable website).  But secondly, we will build into the games a way for them to earn (or lose) points based on their actions in real life.  You insist that I drive you to the library?  You lose 5 points.  You walk or ride your bike there yourself?  You gain 5 points.  You stand there with the refridgerator open as you drink your water/milk/juice?  You lose 3 points.  You close the door and drink it at the table?  Well, I don't know that we'll give you points for that, since that should be normal behavior, but at least you won't lose points.  You keep your showers under 10 minutes?  You get 2 points.  You keep your showers under 5 minutes?  You get 5 points.

You get the idea.

Anyway, we think this game has the potential to give kids incentives for to change those behaviors that we parents have been nagging them about for years, but to no avail.  If we all make those small changes, maybe they won't completely solve the problem, but they will make things better.  And making things better is something that can make us all feel good.

If you would like to be a part of helping to make this game happen, then please visit our Cards, Coral & Kids campaign.  For a small donation, you could get a deck of the cards before they are released to the public, participate in our pilot trials and research project, or even give input into the cards themselves!  Also, please spread the word about this idea to all your social media networks, email loops, and friends and family.  Getting the funding we need to develop the game requires reaching lots of people, so anything you can do to help is greatly appreciated!

Thursday, March 22, 2012

Is The Hunger Games Turning Students Off to STEM Education?


Are students turning away from pursuing careers in science and math because of books like The Hunger Games?  Popular author Neal Stephenson thinks so.  Stephenson argues that current science fiction writers depict such a dark and depressing picture of the future--like children being forced to fight to the death for the amusement of the ruling elite and for the subjugation of the laboring masses--that students are not inspired to be part of making that future come to be.  If science, engineering, and math is going to create a future society like Panen in The Hunger Games, or the Realm in Incarceron, or post-apocalyptic Chicago in Divergent (gosh, haven't I written up that review?  I'll have to do that), or dozens of other popular YA books, movies, and TV shows, why would students want to participate in that?

To Stephenson's mind, it all contributes to our society overarching problem, which is an inability to, in his word, "get big things done."  So he has created an effort entitled the Hierarchy Project to convince science fiction writers to create some more optomistic visions of the future that would inspire students back into the world of science and math as a potential solution provider rather than a conveyor belt to our dystopic future.  To hear more about his views on this topic, read his article on Innovation Starvation.

Stephenson is not the first person to raise these concerns.  Indeed, my first-ever blog post, Are Bella and Edward LITERALLY Warping Your Adolescent's Brain, was about a conference at Cambridge that was examining whether dark themes in current YA literature were physically changing adolescent brains.  But I thought it was a good follow-on to my earlier post this week about Neil deGrasse Tyson's concern that we have forgotten how to dream.  I do think that perhaps the biggest problem is STEM education is our students lack of desire to pursue it, and I do think that these dark, science-enabled dystopias could be a part of the problem.

It also brings to mind a story about Martin Luther King, Jr. that I described inanother earlier post.  Nichelle Nicols, who played the African American communications officer Uhuru in the original television series of Star Trek, told of Dr. King telling her that Star Trek was the most important TV show at that time because it gave people a vision of the future world he was trying to create in his speeches--a place where people of all races (and even different planets) worked together in peace and respect to take on big challenges.

That was the time I was raised in.  Star Trek may seem to today's eyes to be cheesy and bombastic, but it was unfailing optomistic about human potential enhanced by technology.  Our children are growing up in times where it seems to be preferable to be vampires and werewolfs and zombies and such to becoming a scientist (unless you want to go into murder investigation, since I guess the numerous CSI shows require quite a number of scientist to analyze all that crime evidence the detective amass).

So I hope Stephenson and his Hierarchy Project help to encourage some writers to give our adolescent some less grim scenarios of their future.  It may not be the biggest part of the solution to STEM education, but it sure couldn't hurt.

The Power of Dreams in Education


Why aren't US students going into careers in science, engineering, and math?  That is a question we've been asking as a society ever since I was working professionally in Washington DC in education policy in the 1980s.  There have been many proposed answers to that question, but mostly the blame as been laid on our education system.  Our science and math education isn't rigorous enough, or it isn't concrete enough, or it isn't relevent enough, or it isn't hands-on enough, etc. etc. etc.  So our latest response has been lots of government and private programs to improve education in what is now called STEM (Science, Technology, Engineering, and Mathematics).

While I know science and math are tough disciplines--tough to learn and tough to teach (she says, having just completed teaching a hands-on physics class on light and optics that required lugging multiple sets of things for hands-on experiments to an outside classroom for five weeks)--and that we could definitely improve our science and math education, to my mind, that isn't the biggest problem with our current "brain drain" in STEM careers.  The data I read indicates that most of "the best and the brightest"are choosing to go into fields other than math and science.  That is to say, even if we could wave our magic wands and make our STEM education programs perfect, that isn't going to change the situation if students refuse to go into those programs in the first place.

There are many aspects to why American students aren't studying STEM.  But one of the big ones, according to astrophysicist and science writer/media specialist Neil deGrasse Tyson, is that we, as a nation, have stopped dreaming about a better future and the important role science, math, and engineering have in getting us there.

I could say more, but Tyson himself says it so much better in the short video below, entitled "Why We Stopped Dreaming:"



There is no way I can improve on that.   Except that I would say that it is not just limited to STEM.  I grew up in the Washington DC area, where almost everyone there was employed in what we used to consider "public service."  When I was growing up, working in Congress or the White House, the multiple court systems, the many federal agencies, the military complex built around the Pentagon, the related research institutes, the multiple non-profit public interest groups on all sorts of issues--all of those were honorable professions, and even though people found it a financial sacrifice, in terms of making a lower income than they might have had in private industry, it was worth it because they believed they were making a difference or playing a role in making the world safer, smarter, healthier, and better.

Now, after decades of people bashing "the government," our best and brightest don't want to work there either.  Looking at the nastiness and frustration among our top politicians--the US Congress and White House--it is no wonder that our students don't want a career in politics.  Education is another field where most of the public policy discussion is very negative, constantly highlighting all the perceived failures and rarely lauding the good work done day after day by millions of teachers across our country.

So what is left?  Becoming an athlete, rock or rap star, an actor/actress or, even better/easier, becoming a celebrity through so-called "reality" TV?

This is a tough, tough problem, and I don't know how we are going to solve it as a society.  But I know one thing.  As teachers and as parents, we need to support our students in dreaming again.  And I think it is particularly important in this middle school age--when they are old enough to understand and deal with some of the real substantive problems of our culture, but haven't yet experience so much frustration and inability to make a difference that they become cynical and indifferent.  In our case, it is why we are so heavily invested in a effort called Healing Oceans Together, where the students wrote the following mission statement for their group:
Healing Oceans Together (H2O) is a non-profit organization dedicated to preservation of the seas, raising public awareness about the oceans, and supporting the community through environmental education. Our organization is largely student-driven and is exceedingly resourceful. We are homeschoolers saving the world one step at a time, because we believe that everybody, working together, can make a difference.
I have to end with quoting (yet AGAIN, for those who know me) from one of my favorite books of 2011, Okay For Now by Gary Schmidt.   In this passage from the book, which is set in the 1960s, the junior high science teacher, Mr. Ferris, is talking to a group of incoming students.
 "Within a year, possibly by next fall," he was saying, "something that has never before been done, will be done. NASA will be sending men to the moon. Think of that. Men who were once in classrooms like this one will leave their footprints on the lunar surface." He paused. I leaned in close against the wall so I could hear him. "That is why you are sitting here tonight, and why you will be coming here in the months ahead. You come to dream dream. You come to build fantastic castles into the air. And you come to learn how to build the foundations that make those castles real. When the men who will command that mission were boys your age, no one knew that they would walk on another world someday. No one knew. But in a few months, that's what will happen. So, twenty years from now, what will people say of you? 'No one knew then that this kid from Washington Irving Junior High School would grow up to do".....what? What castle will you build?"
With all our focus in education on test scores and STEM initiatives and funding priorities, we are forgetting to encourage our students to dream big dreams.  And what kind of a life are preparing them for without dreams?  As Langston Hughes said in his poem, Dreams:
Hold fast to dreams
For if dreams die
Life is a broken-winged bird
That cannot fly.  
Hold fast to dreams
For when dreams go
Life is a barren field
Frozen with snow.

Wednesday, March 14, 2012

Curriculum Resource: Folding Circles for Pi Day

Today is Pi Day (March 14, or 3.14).  Of course, we celebrated with our traditional Pizza Pi(e)s.  But because Google informed me it was also the 101st birthday of Akira Yoshizawa, who is considered the grandfather of origami (see below):



I went searching for origami and circles, and chanced upon this wonderful website, WholeMovement.com.  The author, Bradford Hansen-Smith, inspired in part by Buckminster Fuller, has compiled tons of information about all the mathematical  and other concepts one can learn by folding circles.  It doesn't take fancy equipment--he starts with paper plates and bobby pins--but it can take you deep into mathematical and geometric concepts.

So a great way to observe Pi Day (besides eating pie, pizza or otherwise) is to check out his website.

Tuesday, November 22, 2011

Curriculum Resource: Math and Videogames

I've found what looks like an incredible resource.  It is an online, multi-media, interactive, self-paced course on math concepts used in video games.  It was developed by WNET, the public broadcasting network in New York City, for 7th-10th graders, although advanced younger middle schoolers could probably use it as well.

The lesson demonstrates how algebraic concepts, such as linear relationships, rate of change and slope, algebraic and numeric expressions and equations, and graphing transformations, underlie the design and playing of many video game challenges.  Of course, it is interactive, so students are called upon to solve such problem to demonstrate some typical video game techniques.

You can access the entire lesson for FREE at the Teacher's Domain website (although students will have to create an account if they want the lesson to record their input for various challenges).  You can also download a Teacher's Guide about how to support math learning through this lesson at the same location.

Sunday, September 25, 2011

Math and MBTI Psychological Type


Happy Math Storytelling Day!  This is an event in honor of my dear friend, Maria Droujkova of Natural Math, whose birthday is it today.  The idea is that we share our stories about math with each other.

So my story involves math education and psychological type as measured by the Myers-Briggs Type Indicator (MBTI).  This past winter, I taught an online class through P2PU on the Psychology of Math Learning.  The idea of the class was to look at various psychological theories, including MBTI personality type theory, to see if it would give us insight on why math can be such a struggle to so many learners.  (For more details on the class, you can read my original blog post about it).

The structure of the class was that each week, we would take an online test about one of these theories, then post our "score," such as our MBTI type, which in my case is ENFP (Extravert, iNtuitive, Feeling, Perceiving).  Then we would reflect on our experience learning math, and see if we noticed any ways that our test results might have helped or hindered our math education.

The class didn't work out quite like I planned, because even though this approach was explained in all the class descriptions, and had a couple dozen people sign up, the only students who ever posted their scores or their reflections on the theory and their math experience were the Extraverts!  So, we ended up with a skewed sample of respondents.  But we Extraverts had a great time talking about things between ourselves.

However, it was an eye-opening revelation for me.  Math had always been my worst subject at school; worst NOT in the sense of grades, since I was the kind of student who would do whatever I needed to do to get an A, but in the sense that I knew I didn't really understand the answers I was regurgitating back on my graded work.  And that wasn't usually the case for me--generally, I understood the concepts behind all my other subjects.  So I never liked math, thought I wasn't good at math, and never took any academic math classes past my required Algebra II/Trig in my junior year of high school.

But by looking at MBTI, I could see at least part of the reason why.  Because the way I was taught math was EXACTLY opposite to my personality style.
  • Math was taught as a completely I (Intravert) subject.  You stayed in your own seat, stuck to your own paper, came up with your own answers.  Any working together on a problem wasn't collaboration, it was cheating.  Even in Science, we at least had lab partners when we worked on experiments, and did lots of group projects in the Arts and Humanities (my favorite subjects).  But in math, I don't ever remember working with another student.
  • Math was taught as a million different discrete problems that built up, bit by bit, to larger concepts--which is a very S (Sensing) approach.  Everything had an order and a sequence that eventually led to a comprehensive explanation of the subject.  But N (iNtuition) people like to see the big picture first, so that they understand why they are doing all the individual problems.  N people also usually don't fare very well in the high-sequenced, "show all steps of your work" approach that was used in my academic math classes.
  • Why subject could possible be more T (Thinking) than math?  What does F (Feeling) have to do with whether 2 plus 2 adds up to 4, or that the area of the circle is Pi times the radius squared?  I was presented math as a completely abstract, logical, impersonal subject, which isn't something that we emotional, subjective, relationship-oriented F people particularly like.
  • Finally, I was taught math as a very black/white, right/wrong, only one right answer kind of way, which is what MBTI calls J (Judging).  P (Perceiving) people like open-ended answers, multiple possibilities, and options.  But I was never given any of those shades of gray in my math classes.
Let me make two things clear.  First, I'm not saying that any of those approaches are "bad" or "wrong."  The whole basis of MBTI is these different preferences, which we are born with, are not better or worse than each other.  They are just different.  I doubt I had bad math classes, because I went to good schools and I'm sure I had good math teachers.  That was just how math was taught in those days.  And I'm sure that approach works brilliantly for some people--just not for me and my personality style.

Secondly, I now know that math doesn't have to be that way.  Math education has come a long way since then, and there are many more ways that math is presented these days in schools.  I am also so thankful that I met Maria, and through her, all the people on the Natural Math loop who have shown me math as a rainbow, not just a black and white subject.  For example, Math Mama Sue Van Hatten just recently had a blog post about how her students work together in groups.  The wonderful math-rich puzzles presented by Math Pickle encourage students to find many answers to the same problem.  Maria is constantly presenting math as fun, and as beautiful, and as creative, and as a vehicle for individual expression.  And I could go on and on about the wonderful new math educators who are diversifying the experience of this important field.

So my story has a happy ending.  Maria and others have helped me to "grow new math eyes" so I can appreciate math in a way that works for my personality.  But I think my story also has a moral, which is that math instruction (and all instruction, really) needs to meet the individual's personality and style, at least to some extent.  If you are a teacher or a parent or a homeschooler (some of my readers are all three), and your math teaching isn't working, consider the personality of the student who is having problems.  It is easy for us to get so caught up in our own MBTI preferences that we don't even notice that we are only giving open-ended exploratory problems to students who do better with more structure, or refuse to even consider a response from our creative thinkers that is different than the one in the answer key, which we find so reassuring.

Tuesday, August 16, 2011

Curriculum Resource: Who Wants to Win (REAL) $1,000,000--Math Edition

Yesterday we talked about a science game based on the TV show, Who Wants to Win $1,000,000?  Today, we are talking about a site that is offering $1,000,000 (to be split with their most inspirational math teacher) for people who solve 13 great math questions, one for each K-12 grade level.

Just one caveat--the sponsors of these competition, Math Pickle and the Pacific Institute for the Mathematical Sciences, haven't yet gotten the funding for the puzzle winners.  But I guess they don't have many people claiming to be winners yet, either, so perhaps they've got a while to raise the money.

Here is a video that presents the unsolved problem for the 8th grade, which is based on the ancient Greek myth of the Minotaur in the labyrinth:






Even if you don't expect to win $1,000,000, you should definitely check outMath Pickle.  It has a bunch of different videos, all geared to specific grade level, about ways to spice up your math teaching.  In particular, it features puzzles, exploratory questions, and hands-on activities that draw students into problem-solving and applying the math they are learning, rather than doing rote exercises.   The problems and ideas are quite interesting, and I've tried a few of them with my own son.

It is this kind of approach to math (also a hallmark of the work we have done with Maria Droujkova of Natural Math) that has turned around my son's attitude towards math, which he used to hate but now thinks is neat.  And that is worth more than $1,000,000 to me.  So it is worth your while to visit Math Pickle and pick up a few ideas for getting your students engaged in math problem solving.

Thursday, July 7, 2011

Curriculum Resource: Where Does Pi Come From?

This evening I attended an absolutely fantastic webinar that was part of the Math 2.0 series that my friend Maria of Natural Math runs.  If you have a high school student (or even a middle schooler) taking Geometry, you and your child should check out the recording of this hour-plus educational lesson.

The session was called "Pi in July," and featured two mathematicians:  David Chandler, a mathematician who teaches at a California public charter school that supports homeschooling families and offers supplemental instruction to major high school math textbooks at Math Without Borders ; and Allison Krasnow, a mathematics teacher at Willard Middle School in Berkeley, CA.  The two have been working together to develop ways to explain to students where the number Pi actually comes from.

Chandler began by explaining, using geometry and especially the Pythagorean Theorem, how the approximation of the number Pi was originally derived by Archimedes in ancient Greece.   He started with a simple graphic that demonstrates why Pi is between 3 and 4, and not 10 or 7 or some other random number.  Krasnow then took his idea and modeled it in GeoGebra, a free open source software for creating geometric figures.   Finally, Chandler worked through the process that Archimedes used to figure out this key mathematical number--except that he used a spreadsheet to crunch the numbers up to millions of points.

I'm not doing the talk justice, but it really is a brilliant process.  My 12 year old son participated and was able to follow everything step by step, and really got the concept of why Pi is what it is.  I think that is so much better than when I learned geometry, when I was just given the value of Pi to plug into formulas with no idea where it came from or why I should believe it.

For more information on the webinar and the presenters, or to access the recording of this session, see the Pi in July page in Math 2.0.

Sunday, May 29, 2011

Does Khan Academy Represent the Future of Education?

A couple of months ago, I wrote a blog post about Khan Academy, a FREE online resource of math videos produced by Sal Khan, former hedge fund analyst turned educational visionary.  Khan has turned some math tutorials he produced for his nieces and posted on YouTube into a collection of 2,300 math (with a scattering of other topics) videos that are the foundation of his vision of producing an entire educational curriculum, available free of charge to anyone in the world with an Internet connection.

Khan (who comes across as a nice guy and not a big ego person) has been a rising star in the media looking for their next educational "Superman" (as in "Waiting for Superman"), now that Michele Rhee's aura has been tarnished with Erasergate and the fact that she and her mentor were kicked out by the voters.  CNN labeled him "Bill Gate's Favorite Teacher," Bloomberg Businessweek called him "a quasi-religions figure in a country desperate for a math Moses," and there is an active online campaign to have him nominated for a Nobel Peace Prize.

The latest on the Khan bandwagon is Steve Pearlstein, the Pulitzer-prize winning business and economics columnist for the Washington Post.  In an article entitled "Mark them tardy to the revolution," Pearlstein posits that Khan's offering will upend all of education, just as Napster disrupted the music industry and Craiglist and the Huffington Post threatened the old models of the newspaper business.

According to Pearlstein, Khan and his ilk--"master teachers"--will produce videos that will be used by thousands or millions of students, reducing the number of people who will need to be employed as teachers.  The video tutorial model, in his view, will also eliminate some of the current bedrocks of the educational system, such as age-specific school levels, school calendars, and grades (Pearlstein writes "As Khan loves to point out, grading will suddenly become simple:  Everyone gets an A in every course, with the only question being how long it takes each student to earn it.")  Given this approach, Pearlstein envisions that within a decade, educational quality will go up as costs go down, learning will become highly individualized, and "look for teaching to be transformed from an art to something much closer to a science."

My first reaction:  I can't wait to see what Valerie Strauss, Pearlstein's Washington Post colleague who writes The Answer Sheet education blog for the website, has to say about these predictions.

My second reaction is this sounds like another great prognostication by someone who doesn't know much about education.  Unfortunately, these days, those seem to be the ones who carry all the weight, since no one seems to care about what people who are actually trained for or work in education have to say.

Now, I'm not saying that some of these ideas might not be good ideas.  But does Mr. Pearlstein really think it will be that easy?  We've long ago abandoned the agrarian lifestyle that first set up our "summers off" educational calendar, but after about a century of resistance to changing that calendar, Pearlstein thinks we're going to talk families out of it within 10 years?  Good luck with that.  Pearlstein thinks we are going to do away with grades and just let everyone work at their own speed until they've mastered the content?  Did he read his own paper's story about the DC-area school that tried eliminating the use of F grades (read my blog post about it here), which lasted ONE WEEK due to vehement public opposition after the Post publicized the policy (read my follow-up post here)?  Again, personally, I agree with the concept--that is certainly what we do as homeschoolers--but I think Pearlstein is WAY underestimating the amount of conservatism there is about education, both among educators and among the public they serve.

My biggest issue, however, is that this is just another example of the "Superman" syndrome--the idea that some one new wonderful person or thing is going to come along and save education--and money as well!  The one thing we know about education is that it is complicated, and diverse, and challenging, and ever changing.  And it will always be those things, because it is a business about developing people, and people are complicated, and diverse, and challenging, and ever changing.

This is not, by any means, a dig at Mr. Khan or Khan Academy.  I like the guy, and I think what he is doing is great.  And it is wonderful that Bill Gates and his son get off on sitting down and watching dozens of Khan's math videos together.  But it is not like that at our house.  My son doesn't enjoy them and doesn't learn that well from them.  He is not a great fan of video instruction in general.  ESPECIALLY for math, videos don't have the interaction he needs to keep from zoning out.  So when we have been working on a math concept that I've been doing a bad job of explaining, and so he understands why he is watching and is interested in having something he is trying to understand made clearer, he might watch and learn from these videos.  But in general, this is not the solution for him.

I'm dubious of the argument that having everyone watch Khan Academy vidoes--but at their own pace--constitutes "highly individualized learning."  I do think technology does present an option for creating lots of individualized modules on all sorts of topics.  But for education to work for everyone, there have to be lots of different types of modules--videos, podcasts, computer programs, simulations, role playing games, virtual reality plays, I don't know, but tons of different types of approaches for the tons of different types of minds.  And who is going to match all these great resources with these diverse minds?  I don't think our computers are sophisticated enough for that yet.  It's still going to take people---people who are not only familiar with all these resources, but who understand education and understand minds and understand children and their needs and behaviors.  

In short, I don't see education having fewer staff and lower operating costs anytime soon--certainly not within 10 years.  But, then, what do I know?  Since I have both a Masters in Education AND over 20 years experience working in education, obviously no one wants to listen to my opinion.

Saturday, May 21, 2011

Amococo: The Junction of Art, Math, Science, and Imagination

uminaria by Architects of Air.  This is our second visit to a luminarium, and we have found it to be such a truly awe-inspiring experience that all I can say if one ever comes close to where you live, make sure you go see it.

The luminaria are vast, colorful walk-through labyrinths of intense color and pure light, all contained by the most gossamer of vinyl walls.  They are based on the technology of bouncy houses, but instead of creating a bouncy kid frenzy, they become fantasy mazes that are beautiful and meditative.  They are so inspired by Arabic architecture, so there are some tessellations and almost opt-art effects along with the almost psychedelic colored mazes.

Words totally don't do these exhibits justice, and even pictures can't really present the wonder-filled experience.  But here are some of my favorite pictures from the current Raleigh exhibit, which is called Amococo:

Is it science fiction?

Or following a white rabbit?

Maybe there will be a hobbit in the next section...


Optical illusions


Capturing the rainbow



















Hope to see you at Amococo!




















In Raleigh, the exhibit will run this today and tomorrow from 11-7 in conjunction with Artsplosure.  It costs $5 per person, but I think it is well worth the money...we spent an hour and a half there.  If you don't live by Raleigh, well, then I hope there will be one visiting a location by you soon.

Thursday, January 20, 2011

Free Online Class for Parents and Teachers on the Psychology of Math Learning

Can psychological theories, such as personality type and learning style, help explain why some students take naturally to math while others struggle? This is a subject of a FREE online class that I will be leading for the next six weeks through the School of Math Future in Peer-to-Peer University (called P2PU).

Actually, while it is called a class, it is more like a technology-facilitated discussion group. The philosophy behind P2PU is that people with common interests all have something to share with each other, even if some have more experience or schooling than others. So I am setting up the structure of the classes and giving us all some exercises and/or reading so we have some common ground to talk about, but all the participants will be equally involved in coming up with answers, or at least suggestions, to the discussion topics.

The structure of the class is that each week we will focus on one type of psychological theory and see if it can help to explain why some of us find math to breeze while others just don't seem to "get it." The proposed theories we will be exploring are:

Myers-Briggs Personality Style
Left-brained/Right-brained Learners
Learning Modalities
Gender Differences
Participants will take online assessment tests and post their results to the group, along with a written reflections whether they think that assessment has any baring on their success or failure in math. Thus, most of the class will take place asynchronously through sharing written statements on the class forum. However, there will be one "real-time" web discussion each week, which will take place on Tuesday evenings at 9:00 PM Eastern time. Class members who are available at that time will pose questions and exchange thoughts on that week's assignments; the other members can review the discussion at their convenience, since the "live" sessions will be taped. I expect that participating in the class will require approximately 2-3 hours per week (doing the assessments, writing posts, engaging in the "live" discussion, etc.).

Here is the official description of the class:
Summary

More than almost any other discipline, mathematics can cause real angst for those students who just "don't get it" (have you ever heard of "history anxiety" or "art anxiety"?). But why do some students find math to be a fun, natural, and creative discipline, while others struggle and just can't seem to figure it out, no matter how hard they work on it? To answer this question, educators tend to focus on the "nurture" factors, such as the parents' abilities and feelings about math, whether the student lives in a math-rich environment, the quality of the math teachers, or the type of curriculum followed. But in this class, we'll be exploring the "nature" side of the question. We will look at psychological theories, such as personality style, learning style, and gender differences, to see if they can illuminate why some of us think math is joy, while for others it seems more like a nightmare.
Learning objectives

The objectives of this course are:
to learn some basics about psychological theories such as personality styles, learning modalities, and gender differences;
to assess our own styles within these theories and consider whether they had an influence on our experience with math;
to share our assessment with each other to see if we can find any general trends that relate specific psychological traits to math success or failure.
If you are interested in joining us, please follow the signup instructions on the P2PU website at: http://p2pu.org/math-future/psychology-math-learning . But the class starts next week (this session runs from January 26 - March 9, 2011), so be sure to respond soon if you are interested.

The School of Math Future also has some other free classes running on P2PU. They include

Math-rich baby and toddler environment
Introduction to Math Art
Create+Share Math Interactives
Mathematics for Game Designers
Short Calculus
Mathematics Curriculum Development
CPD through Twitter for Mathematics educators

All are free and still have space available as of this evening, although space is limited.

Monday, November 29, 2010

Collaboration and Community in Education

There are two items I've worked on with my friend and colleague, Maria D ofNatural Math, that I would love for people to check out and comment on.  One is the conclusion of the "Family Educator Commons" article that we wrote for the Shareable website.  This part, entitled "Online Communities, Agile Methods and the Commons" addresses the common myth that homeschool students are sitting at home, tackling their subjects alone or with just the company of their immediate family.  We share one example of "a day in the life of" a homeschool student that shows how family educators, working within a community setting, share their different abilities and resources, usually in a non-monetary or informal bartering system, and work together to ensure that all their children receive a complete, stimulating, and individualized education.  We also discuss online education, the ability to change educational directions on the fly when something is not working, and what is possible when you channel the parents' commitment to their children's educational success into a connected and cohesive community.

On another front, I've been helping Maria with a grant proposal for her idea of constructing an international database of math education communities that want to support students and families in developing their math capabilities.  You can see her proposal to the Knight Foundation News Challenge, and even vote for or comment on it, at least through tomorrow.  Or if you miss that deadline (I don't know how long they will keep up the proposals), you can comment through her blog at http://www.naturalmath.com/blog/math-2-0-at-knight-news-challenge-please-comment-and-vote/.  What would you like to see from an effort like this?

Wednesday, November 24, 2010

Middle School Minorities Achievement Gap in Math and Its Effect on College Success

On an email loop of my friend Maria's Natural Math community, there is a discussion going on right now about some research that taking advanced math, particularly calculus, in high school leads to greater success in science classes in college.  But I think the path to calculus in high school begins earlier, particularly with the math instruction students get in middle schools.  And several articles or reports published lately suggest that advanced math instruction in middle schools is problematic for many ethnic minorities, particularly African-American males.

One great example of this, I think, came from a recent article in The Washington Post about the school many publications list as the best public high school in the country, the magnet Thomas Jefferson High School for Science and Technology in Fairfax County (outside Washington DC).  While the school is almost universally lauded for the quality and subsequent success of its graduates, it has come under fire recently for the low percentage of black and Hispanic students, despite several years of a concerted minority outreach and recruitment program.  While blacks and Hispanics represent about one third of all students in the surrounding public schools, they make up only 4% of the TJ population.  Approximately 90% of students are Asian or white (with Asians accounting for a slight majority of that number), while the remaining students categorize themselves as "multi-racial."

The school's explanation for such a dramatic under-enrollment of blacks and Hispanics?  One of the pre-requisites for applying to Thomas Jefferson is that the student passed Algebra in middle school.  School officials claim that there is not a large pool of black or Hispanic middle school students with Algebra already under their belts from which they can recruit.  So should Thomas Jefferson drop that requirement for underrepresented minorities, or should the area middle schools do a better job of getting more of those students through Algebra?  (For comparison, the state-wide magnet program at the the residential North Carolina School for Math and Science has about a 10% black, 3% Hispanic, and 1% Native American population; that high school strongly recommends, but does not require, Algebra.)

This issue has been under a lot of discussion here in Wake County, because recent data shows that in previous years, where teacher recommendations were a major factor in admittance to advanced math classes, Asian and white students were admitted to Algebra at much higher rates than other minorities.  In 2008, over half of all test-qualified white or Asian students were enrolled in Algebra 1 in 8th grade, while among black and Hispanic students with similar test scores, only 40% went on to Algebra.  Things were even worse in 2006, where only 19% of high-scoring black male students were placed into advanced math.  This led to a policy change this year where students were placed into math classes purely on math scores, rather than considering teacher recommendations (although the effects won't begin to show up in Algebra until next year, because they still have a requirement for students to complete pre-algebra before entering the Algebra 1 class).  For a detailed analysis of this data, see the article entitled "Math Placement and Institutional Racism in Wake County Schools?" on the excellent blog "Barbara's Take on Wake."

It will be interesting to see the data in a couple years about what happens with this policy change.  Is it really true, as Barbara suggests, that the WCPSS has institutional racism in terms of minorities in math?  Or do the teachers know something that the test scores don't show?  Of course, if we refused to allow failure and gave minority students additional time, if necessary, to complete such classes, that might be the best of both worlds.  But as my blog posts ofNovember 14  and November 21 demonstrate, that's unlikely to happen any time soon.

But this only deals with the under-represented minorities who are actually scoring well on their math tests.  According to a recent study by the Council of the Great City Schools, a coalition of the nation's largest urban school districts, among the urban school systems participating in the study, only about 12% of black males tested at or above the Proficient level in 8th grade math; at least 50% of 8th grade urban black males scored below the Basic level.  According to CGCS, this eventually leads to black men accounting for only 5% of all college students in 2008.

I don't know the answer to all this.  But it is a troubling question to examine.