Recent claims about how students don’t understand the “equals” sign (and therefore require lessons on the underlying concept of mathematical equality) remind me of yet another old post.
(Perhaps the biggest reason why kids appear not to understand the equals sign is because they’re having trouble making sense of the stuff on either side of it).
Continue readingI’ve never questioned it; no psychiatric or psychological professional who has ever evaluated J has ever questioned it; no one who has actually met J has ever questioned it.
But a couple of non-autism experts who haven’t met him have questioned J’s autism. They’ve either wondered whether J is at the functioning level I report him at, or (!) whether he’s autistic at all. Surprisingly, these folks are themselves autism parents.
Continue readingIn a recent comment on FacilitatedCommunication.org, I wrote:
Any experienced facilitators who are interested in exploring the possibility of ideomotor effects during facilitation will find researchers eager to work with them. Unfortunately, facilitators since the early 1990s have been instructed “don’t test,” and nearly all are compliant with that maxim.
Could it be that the facilitators and parents of facilitated individuals are no longer interested in/curious about exploring the ideomotor effects in FC?
Of course I’m not saying that there are no facilitators/parents who consider themselves to be interested in exploring the ideomotor effects in FC. Indeed, there are such people out there, though in some cases they have alienated potential research partners so much that those particular researchers have no interest in having anything to do with them. Nonetheless, if such a parent/facilitator really wants to, they can certainly find other research partners whom they haven’t alienated.
As for my interest in such research, I’m game–provided that:
Continue readingRe my last post, I just recalled another belabored concept: the concept of “the number sentence.” That was the first roadblock my older son encountered in elementary school math. Yes, he can add, subtract, multiply, and divide ahead of grade level…
“But,” his teacher added, with great concern, “He doesn’t know what a number sentence is.”
Continue readingMy long-time math crony Barry Garelick has recently alerted me to claims about how students don’t understand the “equals” sign and therefore require lessons on the underlying concept of mathematical equality.
(These claims are based on studies that potentially confuse conceptual understanding of the equals sign with the ability to do basic arithmetic or involve additional confounds like the effects of tutoring.)
The notion that teachers should be devoting class time to conceptual understanding of the equals sign reminds me of this old post from Out in Left Field.
The latest news about colleges and universities falling for facilitated communication reminds me of this old Out in Left Field post–from 2015. I had forgot about how long some of these issues have been on my mind.
“I just assumed you were coming back to the kitchen,” says J. “In fact, I did not even think of trying to leave the fan on all night.”
Continue readingA recent study (still just a pre-print) cited by supporters of “social-emotional learning” (SEL) reminds me of all the fanfare about “grit” (remember grit?) and of an old post of mine from Out In Left Field.
But first, a bit about this latest study, entitled “The Roles of Social-Emotional Skills in Students’ Academic and Life Success: A Multi-Informant, Multi-Cohort Perspective.” Its methodology appears rigorous:
a multi-informant (self, teacher, and parent) and multi-cohort (ages 10 and 15 from Finland, N = 5,533) perspective to study the association between 15 social-emotional skills and 20 educational (e.g., school grades), social (e.g., relationships with teachers) psychological health (e.g., life satisfaction), and physical health outcomes (e.g., sleep trouble).
But what does it conclude?
Continue readingAs I noted in a recent comment, the most helpful accommodations J. got in college–and perhaps the most helpful accommodations he’s ever had–were:
1. A written transcript of the entire class.
2. The option to take certain classes online.
These two accommodations, increasing the quantity of text-based information and text-based exchanges, made it easier for him to review things would otherwise go in one ear and disappear out the other.
And the second accommodation eliminated the greatest challenges of group work: those spontaneous, in-person exchanges involving fast moving conversations and non-verbal communication.
But what about what is often the greatest challenge of all in moderate autism: comprehension, especially reading comprehension. Here, from Out in Left Field, is a follow-up post to the last one.
Continue readingThe more I think about the kinds of notions I discussed in this old post from Out in Left Field, the more I think about how all this is part of a broader phenomenon that includes facilitated communication.
The broad assumption is that children have already picked up various academic skills on their own and that all the adults need to do is to “provide access.” “Provide access”, in turn, seems to mean whatever support is necessary for students to “demonstrate understanding.”
Continue readingThe increasing demands for the full inclusion in regular education classes of profoundly autistic students who are purportedly unlocked by facilitated communication, along with Greg Ashman’s recent post on full inclusion, have reminded me of this old Out in Left Field post of mine:
Even as J winds down his final year in the Philadelphia public school system, I’m still learning new things about how the district operates. For example, I recently learned that the one-size-fits-all approach to high school English predates the Common Core. For at least the last dozen years, all Philadelphia high school English teachers have had to choose from a specific list of literary works/authors, which include Steinbeck, Edgar Allen Poe, the Canterbury Tales, and Shakespeare plays. It doesn’t matter that, according to a 2013 report, only 53.4% of the school district’s 11th graders scored proficient or advanced on the Literature section of the state’s new Keystone test, and that only 10.1% and 10.6%, respectively, of English Language Learners and special ed students with IEPs scored proficient or advanced in Literature.
Continue readingMy friend’s recent request that J once again accompany her on a visit to see her ailing mother reminds me of this old Out In Left Field post.
More recently, I should add, this friend gave J the ultimate vote of confidence by allowing him to push her baby daughter around the zoo in a stroller by himself while she and I were manned a booth for Autism Awareness Month.
Continue reading(Cross-posted at FacilitatedCommunicaton.org.)
The standard view of autism as a socio-cognitive disorder accounts for the language delays/limitations in autism by:
In my last post on the autism-related research of Morton Gernbacher, I critiqued Gernsbacher’s claim that JA is impaired in autism and concluded by saying that:
Continue readingThe decline in Finland’s educational performance that has occurred since I wrote this post on Out In Left Field has inspired me to post it again. (See here for a nice discussion by Greg Ashman). It seems that perhaps Finland itself has drawn the wrong conclusions from its prior success.
The Finnish Fallacy: drawing the wrong lessons from our favorite international comparison
Continue readingI’ve lately been thinking about how some of what goes on in Facilitated Communication relates to some of the ways in which tutoring can go awry. Tutors have a natural urge for their tutees to succeed. They naturally tutor by asking questions, some of which help lead towards the answers. Unless they closely monitor themselves closely, they may end up failing to bring their tutee to the level of mastery they think they have.
Here’s an old Out In Left Field post on this phenomenon–and a few more.
The Tutoring Fallacy: where clear explanations fall short
In the toughest math classes I took in college, it happened a couple of times that a certain classmate of mine would ask me to explain what was going on. He seemed to have more trouble understanding the material than I did, and my verbal explanations seemed to help him understand it better. So much better that he, now an accomplished engineer, went on to score higher than I did on all three class tests.
For many Reform Math acolytes, the ability to communicate your reasoning to others,
and to talk about math more generally, is the apotheosis of mathematical understanding. It’s much higher level, supposedly, than “just” being able to get the right answer.
But does saying intelligent things about math necessarily mean that you can actually do math? One situation that often ends up suggesting otherwise is tutoring.
When you tutor someone one-on-one, at length, over a long enough period of time, it’s easy to think that you are comprehensively probing the breadth and depth of their understanding–simply by conversing with them broadly, and by asking the right questions and follow-up questions. Surely what your tutee says reflects what s/he knows. Surely it’s not possible for him or her to carry on articulately about something they don’t fully understand. And surely it’s not necessary to test their ability to do tasks independently in the more traditional, detached testing format of a written examination.
But some of the same things that make tutorials so great—their fluidity and flexibility, and the apparent close-up they provide into students’ understanding—are also their biggest downside. It’s not hard for tutors to accidentally provide more guidance than they intend to; to lead the tutee towards the correct answer; to fail to create situations, complete with awkward silences, in which tutees have to figure things out completely on their own.
Furthermore, when it comes to math in particular–symbolic, quantitative, and visual as it is–verbal discussion only captures so much. One can converse quite intelligently about limits, for example, without actually being able to actually find a limit, or about the properties of functions without being able to construct a formal proof of any of those properties.
Too often I’ve seen tutors grossly overestimate the ability of their more verbally articulate tutees to do the actual math—until they find independent testing turning out results much lower than they expected.
To put it in terms that are only semi-mathematical, clear verbal explanations are neither a necessary nor a sufficient condition for mathematical mastery. And it’s only the latter that correlates significantly with true mathematical understanding.
One contributor to the achievement gap that people don’t seem too focused on these days is what, in this old post from Out In Left Field, I have called the “advocacy gap.”
On the other hand, I’m wondering whether the ways in which The Powers that Be in education are trying to narrow the achievement gap have made even this amount of advocacy totally ineffective.
Continue reading
Catherine & Katharine 