Wednesday, November 17, 2010
New Report Cards—Progress?
So, do these progress reports, sent home in our case on November 16, actually represent "progress" for parents and students? My answer, and that of my kids, is an ambivalent yes and no.
Initially, my daughters were opposed to the ungraded report cards; in their view grades, and grades alone, tell you how well you're doing at school. I've always told them that marks don't matter all that much, that learning is what is important. In fact, although they've always been excellent students, I did not even let them see their report cards until Grade 3 (when they put their foot down and demanded to read them). But while I was attempting to de-emphasize grades, the school and teachers were succeeding in teaching them a different lesson: grades do matter, they matter more than almost anything else. For the past three years, virtually everything my daughters have produced for school, both in the classroom and at home—including notes in their workbooks, artwork, math desk work and homework, grammar exercises, and dramatic performances—has been graded. In my opinion, this mania for grading has several deleterious effects, not the least of which is the way it discourages children from experimenting or trying new things. But that is a subject for another post. For the moment, suffice it to say that given teachers' penchant for grading everything they do, my daughters could be forgiven for concluding that grades are indeed the point of education.
So the girls' initial disappointment with the lack of grades was understandable. Interestingly, however, as they read through the new report cards, they seemed to enjoy not seeing letter grades. It was a change, a relief perhaps, and it led them to the comments, which previously they had dismissed as irrelevant.
But, being savvy readers-between-the-lines, they immediately noted that the new categories—"progressing with difficulty," "progressing well," and "progressing very well"—could be easily correlated to grades, and that the comments, while marginally more personalized, still had a cookie-cutter feel to them, and were consequently not particularly revealing of their specific strengths and weaknesses.
My own take on the new report cards is nearly as ambivalent as that of my daughters. I do find the "progress" reports, with their detailed comments in both the work habits and subject sections, slightly more helpful than graded reports in conveying a sense of how my daughters are doing. I've heard parents complain that grades give them a truer picture of how their child is faring academically, and prevent any potential surprises come February, when the first graded report card is sent home. I don't think this is a valid concern: in our school, and I suspect in a majority of schools in the TDSB, practically every quiz, assignment or test, has to be signed by the parent and returned to the teacher, so how could there be any surprises?
My problem with the new report cards is, on the contrary, that they do not, in the end, constitute an alternative to graded reports. I think the ministry of education is trying to have it both ways. On the one hand it seems to be trying to de-emphasize grades, and direct parents' attention to what it deems most important at this point in the school year: work habits. But on the other hand, the new "progress" categories in effect re-introduce grades through the back door. It is also somewhat disingenuous to proclaim that grades don't matter in the first term, but are useful and necessary in the second or third terms. I'm sure I'm in a minority here, but I'd be happy if there were no grades in elementary school, full stop. Then perhaps it would not be an uphill battle to convince my daughters that learning—challenging oneself, thinking critically, experimenting—is the point of education, not grades. But if the ministry and school boards are going to commit to grades, I see little point in committing to them two thirds of the time, as they have chosen to do.
Thursday, November 11, 2010
Reflections on Remembrance Day and Kids
I’m very conflicted about how to celebrate Remembrance Day with my kids. They have great-great uncles who fought in WWI; one of them was blinded in the trenches and came back to Canada to help found the CNIB. However, I feel that Remembrance Day has become politicized in ways that rub me the wrong way. For instance, instead of being about remembering the war dead, it’s often talked about in terms of men and women who gave their lives in the name of “freedom.” But many wars have nothing to do with freedom (WWI is arguably one of them, Afghanistan another), and everything to do with a political system that still believes it is OK to send men and women off to kill and be killed. We tell our children to use their words, yet our politicians continue to countenance the use of guns to resolve conflicts.
I guess I'm trying to say that, for me, what is lacking in Remembrance Day ceremonies is an emphasis on peace. So this November 11 I took the opportunity to tell my children about the interesting history of the white poppy, and how there are people who are trying to prevent it from being made available as an alternative—or a complement—to the red poppy. And how, ironically, these are the same people who talk about the value of fighting for “freedom.”
Wednesday, November 10, 2010
THIS MATH DEPRESSES ME—Update
Republic of Mathematics
The Max Ray Blog at the Math Forum
Thursday, October 28, 2010
THIS MATH DEPRESSES ME
I HATE THE MATH IN THIS UNIT! IT MAKES ME CRY, AND IT DEPRESSES ME. THIS MATH TORTORES [sic] ME. — JThis note depressed me. But quite frankly, it did not surprise me. The math program in our public school—a Canadianized version of the reform math so reviled in the US—continually frustrates and confuses my twin daughters, both of whom are A students in math. Both of them have declared, on many, many occasions during the past three or four years of struggling through this program, that they hate math. This really depresses me, because my husband and I have gone to great lengths to instill in our girls a love of math, a sense that it can be interesting and fun and challenging, and that, contrary to the message they may be receiving from the culture in general, it is something about which girls and boys should be equally enthusiastic.
Before I go any further, let me state a few facts about myself. Yes, I dislike reform math or "fuzzy" math or constructivist math, or whatever you want to call it. But . . . I am not an educational conservative, a back to basics advocate, or a nostalgic drill-and-kill enthusiast. On the contrary, I am a firm believer in progressive, child-friendly public schooling for all. I feel I have to say this because the "math wars" have been so politicized, both in the US and here in Canada (where in true Canadian style, the "war" was more of a minor skirmish followed by complete capitulation), that anyone who opposes the current math curriculum is branded as educationally retrograde. I think in order for an intellectually honest and productive discussion of math education to occur, this politicization and presumptive name-calling has to stop.
So why do I object to constructivist math? One reason is that it is, by-design, non-incremental or "spiral": its textbooks jump around from topic to topic, never staying on a subject long enough to allow for deep understanding or competence. I also dislike reform math because it frowns upon direct instruction. Since constructivist math teachers believe children can "construct" or "discover" mathematical truths and come up with their own algorithms to solve problems, they offer students minimal guidance, and are not averse to putting the cart before the horse: e.g., assigning algebra-type problems before teaching the tools of algebra, or asking kids to divide or multiply by decimals or fractions without having first taught them how decimals and fractions work.
All of this—the bouncing around from topic to topic, the "challenging" problems, the lack of direct teaching—constructivists defend in the name of what they call "conceptual" learning, which they oppose to both abstract instruction and their favourite straw man, "drill-and-kill" work. But there are two problems with this normative use of the term "conceptual." First of all, "conceptual" and "abstract" constitute a false binary opposition: a concept can be abstract, and an abstraction is not necessarily unconceptual. Take the standard algorithm for long division. Because this method of performing division—like all mathematical algorithms—can be separated from concrete or specific division problems, it is deemed to be abstract. Proponents of constructivist math argue that presenting it upfront would be tantamount to teaching division in a manner that does not allow kids to understand the concept behind it or why and how it works. But a mathematician (and it's interesting to me that most of the authors of constructivist math textbooks are not mathematicians) might counter that the algorithm embodies the concept—otherwise it would not work. So, let's say a teacher were to demonstrate the standard algorithm for long division at the outset of a lesson; he or she could, conceivably, set aside class time for practice and mastery, and then—with student participation—pick apart the algorithm to find out how and why it works. Would this be less conceptual than making kids stumble through division problems on their own, hoping they will discover an efficient algorithm, which most of them will never do?
Secondly, even if the terms conceptual and abstract were in fact polar opposites, why would we favour one over the other? There are some kids who love working in groups or with concrete materials (methods favoured by constructivists) but there are others, like both my daughters, who simply enjoy playing with symbols on a page, and who find all the illustrations, and colourful doodads in their current textbook patronizing and distracting. Why do we assume that math instruction must be a one size-fits-all proposition?
But my real opposition to the privileging of the conceptual in constructivist math is that it is misleading and even hypocritical: in my experience, constructivist textbooks do not encourage conceptual understanding at all. Indeed, my main problem with reform math is that it does not promote mathematical understanding, full stop.
The note from my daughter with which I started this post, in which she expresses her ongoing frustration with math, was sparked by a revealing instance of the true non-conceptual nature her constructivist math text. The problems my daughters were working on for their homework that night involved perimeter and area. In certain questions, they had to compare perimeters given in different metric units. To do that, they had to convert, for instance, metres to centimetres or vice versa in order to figure out which of two given perimeters was bigger. My daughters had no problem with this, but then they were confronted with a problem in which they had to compare the areas of two rectangles—one measuring 8400 centimetres squared and the other measuring .84 metres squared—and, again, indicate which was bigger. Their first instinct was simply to multiply .84 by 100 in order to carry out the comparison. This was my first instinct as well, but something (a residual spark of mathematical reasoning?) told me that in the case of area, it didn't quite work this way. Confused, I flipped back a page or two to see if any explanation of this type of problem had been given. I found no explanation, but I did find, in a coloured bubble in the margin of the previous page, these instructions:
When you convert an area in metres squared to centimtres squared, each dimension is multiplied by 100. So, the area is multiplied by 100 x 100, or 10,000.So there it was: a formula! No verbal or visual exposition, just an easily-missed bubble telling the kids what to do. You can't get any less "conceptual" than that. My daughters read the instructions and understood them, but they wanted to know why the formula worked. I asked them if the teacher had explained it, and they said he had not. I tried, unsuccessfully, to explain it. I then enlisted the help of my computer-scientist husband. He drew diagrams, and took my daughters, step-by-step, through the hows and whys of the formula given by the textbook; in doing so he was able to teach the girls how to carry out conversions from any metric unit squared to another—which the textbook formula, restricted as it was to conversions from metres squared to centimetres squared, was unable to do.
My point here is neither to ridicule my daughters' math textbook nor to blame the school for choosing it; it is, after all, one of a handful of textbooks approved and financially supported by the provincial government. My purpose, rather, is to demonstrate that this so-called constructivist, "conceptual" textbook is neither. It's just poorly-presented, pedagogically dubious, bad math. Which is why I concur with my daughter: THIS MATH DEPRESSES ME.
(See also THIS MATH DEPRESSES ME—Update and A Grade 7 Math Question)
Sunday, October 17, 2010
Separate Schools for LGBT Kids?
In light of the disturbing spate of suicides among gay and lesbian students in the US, one has to wonder if separate schooling should be considered in this case as well. In fact, there is a program, housed in one of Toronto's alternative schools, called Triangle. Here's how the school board's website describes it:
Unique in Canada, we offer academic and applied level programs for lesbian, gay, bisexual, transgender, and queer (lgbtq) students who are able to work independently with some guidance. Our program covers lgbtq history, literature, and issues as well as a lunch program, class field trips, access to lgbtq community events, and co-op education.
This program, then, provides the safe space for LGBT youth that is so sorely lacking in regular middle and secondary schools. Which is wonderful, but I find it sad that such a school should be necessary. The optimistic side of me believes that if anti-bullying education were taken seriously enough, started early enough, and were specific enough—if it included explicit discussion of words like "fag" and "queer" and "gay," and explanations of how and why they are used as slurs—then separate LGBT schools would not be needed. But I'm enough of a realist to know that this is not likely to happen anytime soon. In the meantime, programs like Triangle—in fact, whole schools—should be set up across North America as options for LGBT kids. If they prevent even one teen suicide, they will have been worth it.
Wednesday, October 6, 2010
Breeding Tolerance: Is it Possible?
Twin sisters question the meaning of “gay”
In February 2008, Lawrence King, a gay teenager from Oxnard California was killed by a classmate for openly expressing his sexuality. After reading the chilling details of the story on the Internet, I was left with a perturbing question: How does a child grow up to believe that hatred and murder are acceptable responses to difference?
My eight-year-old twin daughters have been brought up in a fairly typical, liberal heterosexual family. Yet the word “gay,” with all its ambiguous cultural freight, entered their lives at a young age. One fall day in Grade 1, they asked offhandedly, “What's ‘gay’”? My face must have registered surprise because E added by way of explanation, “Connor was talking about it.” Connor was a boy in their class who had older siblings and was clearly in a different league of worldliness.
I hesitated. How could I respond to such a question in a way that a 6-year-old could understand? “Well,” I ventured, “when you’re a man, and you want to spend most of your time or life with another man, you could be gay, or if you’re a woman and you’re more interested in living with a woman than a man, you might be gay.”
“Can two girls or two boys get married?” the other twin—J—asked.
Canada had recently passed legislation legalizing gay marriage, so I answered truthfully, “In this country, yes.”
E piped up: “When I grow up I’m going to be gay; I’m gay.”
“I’m not,” J said, “I don’t want to be gay.”
OK then, I thought, I’ll have one of each. Just give me grandchildren. Aloud, I said, “You don’t have to worry about this stuff for a long time.”
I didn’t hear anything further about “gay” for a few months. Then one day while the girls were playing dolls with a friend in our kitchen, I overheard an interesting conversation. The friend, a good-natured North Toronto girl, said about her favourite doll: “When Taryn grows up she’s going to marry a girl, so she never has to kiss a boy.” The twins nodded approvingly. I tiptoed out to the living room stifling a laugh.
It wasn’t until the end of Grade 2 that I began to notice the twins’ neutrality towards all things gay and lesbian starting to erode. E no longer wanted to be gay because, as she explained—after I was forced to answer very pointed questions about where babies came from—she did not want to have to “to borrow a seed” from a sperm bank (a solution my husband had helpfully proposed). J asserted that being gay wasn’t the best option because it wasn’t “the tradition,” at least not in our family. Curious, I quizzed them on their attitudes, wondering if they had heard negative talk at school.
“Well, we don’t know anyone who’s gay,” E said, accusingly. I pointed out that there was a lesbian couple living a few houses away on our street. The girls were surprised; my husband had taken them trick-or-treating to that house, but neither they nor we knew the couple well.
J looked thoughtful. “Hmm,” she said, “maybe it would be nice to be a lesbian because you could have lots of nice teas on the verandah with your wife.” She proceeded to launch into a make-believe dialogue, playing both parts herself in a bad English accent: “Ella come and have tea with me on the verandah. In a minute dear. OK dear,” and so on.
“Is that how you think lesbians live?” I asked, laughing.
“Yes.”
J's favourable—albeit Victorian—view of lesbianism seemed to persist. In the middle of Grade 3 she told me that her friend Sarah had taken to telling her almost daily that she loved her. “But,” J explained, “Sarah always adds, ‘as a friend,’ because otherwise she says we’d be gay.”
“What do you say?” I asked.
“Nothing. Except once when she said, ‘or we’d be gay,’ I said ‘well, we could be,’ and Sarah said ‘eeww,’ and ran away.” I considered telling J that I was proud of her for uttering that little phrase “well, we could be,” for daring to acknowledge, in her own childish way, that gayness exists, but I let it go. It seemed I’d said enough.
Except it's never enough. Time and again, I'm jostled out my doze of complacency—by a conversation, a word—into an awareness that as parents we can never do enough to inculcate acceptance of difference in all its incarnations.
Not long ago, the girls asked about another culturally freighted word, “queer.” A socially savvy friend had informed them there was another meaning besides “odd” or “strange,” but she wouldn't tell them what it was. I launched into a complicated, politically-correct explanation of how some people use “queer” as a not-so-nice way to say “gay,” but that some gays and lesbians had “taken back” the word and now used it to refer to themselves, which is OK because . . . Two pairs of 8-year-old eyes glazed over in unison. I left it at that.
Then, just last week, the girls rushed in the door after school, bubbling with excitement. “Mom,” E said, “Lauren finally told us what the other meaning of ‘queer’ is and it’s not what you said at all.”
“What is it then?”
“She said it means stupid.”
We can never do enough indeed.