Terrified of homeschooling (again) March 27, 2012
Posted by mareserinitatis in education, homeschooling, math, older son, younger son.Tags: acceleration, gifted, gifted education, homeschooling, homework, older son, younger son
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Last night, the younger son was working on his math homework while I sat next to him and played sudoku. I’ve found that this is the best way to oversee his homework because I don’t really pay attention to what he’s doing unless he asks for help, but I’m close by in case he starts getting frustrated. And really, I can’t concentrate on anything important when I’m interrupted every ten minutes for an explanation.
The younger son has started running into problems with a concept now and again. After he gets so many wrong, the program will switch gears and have him work on something else for a while. Then it goes back and tries the subject again. This happened for the first time a few days ago. He complained, saying it was repeating questions. I told him the program thought he needed more practice. Last night, it happened again.
“Mom, the program thinks I need more practice. But I don’t. I know this stuff.”
“Well, you’ll have to prove it to the computer.” And he answered every question correctly. The fact that he got peeved about repeating questions is a huge improvement from the kid who would avoid doing pretty much anything for fear of getting it wrong…and if he did try and get it wrong, there would be a major emotional blowout to follow. That kid is a distant memory…but was around as recently as six months ago. This, in my mind, is why you need to present challenges to perfectionists.
I’m now anxious for another reason. I really thought the younger boy would slow down in his math progress. Yes, I did up the amount of time he spends from 20 to 40 minutes per day, my reasons for which are elaborated in another post. And he no longer gets everything right. In fact, on his daily practice, he’s usually hitting somewhere between 80 and 90 percent correct answers. But he’s still not really slowing down.
At the end of the year, he’s going to be three years ahead in math. We didn’t expect this, and this puts us past the ‘drop dead’ point where the school can do anything. His school only goes up to 5th grade at his campus. The other campus starts at 6th and goes through the end of high school. Realistically, he’s not ready for that with his reading and writing. So now we’re obligated to keep going with his current math program for the next three years. Because of the structure of the courses, he will have to slow down signficantly. However, we’re still looking at a realistic possibility of him being through algebra 2 before he starts middle school. At that point, we are going to have to see if the school is willing to let him join a bunch of high school students for geometry or precalc…when he’s 12.
I’m nervous about this because of what is going on in his classroom. He’s not participating in the regular math class, but he does work on addition and subtraction drills. His teacher is putting on his report card that he’s ‘beginner level’ in math based on these drills. I really am not worried how he’s doing on this because of the fact that I know he can add two and three digit numbers in his head, even though he still writes some numbers backwards when writing the answers. I am guessing the pressure of timed quizzes, the act of writing, or perhaps lack of interest are causing his poor performance. (Incidentally, while he may not do every problem, all the problems he does are correct.)
I am concerned that teachers in the future are going to look at this and believe he doesn’t know math rather than looking at what he’s accomplished through the online math program. And I’m worried this will have a negative impact on our ability to accelerate him when the time is appropriate. But, mostly, I’m frustrated that so much of the assessment of his abilities rests on judgements of things like basic arithmetic or handwriting when it’s become so obvious to me that he’s got some serious abstract thinking abilities. No teacher is ever going to see that unless they give him some challenging material. (I have to admit that I had no idea until we started down this path with the math program.) Likely, they won’t because they’re so stuck on what I consider to be somewhat superficial things.
Based on my experience with the older son, I guess this is starting to leave me terrified that the younger boy will eventually need to be pulled out of school. I have that thought every time I get a note about some problem at school. Admittedly, most of them are small things that I don’t have to worry about. The thought is sitting just under the surface, though, and pokes an eye out every time something seems amiss.
For now, we’ve decided to just keep him moving through regular school while supplementing math during the school year and language arts during the summer. I imagine that in about 3 years, however, we’re going to hit a pretty serious fork in the road. I’m a person who doesn’t take well to waiting, however, so even now it’s still on my mind a lot.
I might be *gasp* a role model March 15, 2012
Posted by mareserinitatis in education, feminism, gifted, math, societal commentary, younger son.Tags: feminism, girls, math, nerd girls, role models
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My younger son is in chess club, and one of the girls, whom I’ll call K, is in his class and also in the club. K is a pretty bright cookie as she has won things like spelling bee and chess tournaments. I was picking him up from the club on Tuesday when K said hi as she walked by. A couple seconds later, K came back to ask me if I would be coming to their class for our weekly math lesson this week. I said I would, and she cheerily went on her way.
I went in for our lesson earlier today, only to find that the teacher was sick. Rather than work with the smaller group of kids as planned, I offered to read the whole class a math story (which I’ve been doing every other week). So I read Sir Cumference and the Isle of Immeter. They were all very excited, and there was a lot of discussion about the story.
At the end of the session, one of the girls came up to me (whom I’ll call F). F isn’t in the group I work with regularly, so I don’t know much about her other than she’s not as advanced in math. (I assumed that meant she wasn’t all that interested in it.) She’d been in the restroom and had missed the first page of the story and wanted to see it. I said I could leave the book with her to read. She was very excited. Then K came up and gave me a hug, and after she was finished, F gave me a hug. I was rather shocked, though certainly not unhappy about it.
I’m trying to process it, though, and it seems interesting in light of a couple semi-related things. First, I came across an article about how reducing academic pressure helps kids succeed. Given the younger boy was having huge difficulties with perfectionism, my response to this was, I admit, nothing more than, “Duh!” We’re helping him to deal with this by using his math program. Some days he does very well, other days, he’ll get somewhere between 75% and 80% right. I try to tell him that I appreciate his hard work, and that if he doesn’t get it right, it only means he needs more practice. He’s also learning that he almost never gets 100%…and that is making him okay with doing things wrong. Yeah, he still gets frustrated, but he’s not so scared to try anymore.
However, I realized that I’m kind of doing this with the kids I’ve been working with at school. I’m doing stuff with them that I don’t completely expect them to get, but I also don’t get upset if they get it wrong. And there’s no grades. We’re doing it to have fun and to learn, and I think the kids really like doing something just for fun.
Another recent event was when a coworker started lamenting to me how his daughters, who are middle school aged, seem uninterested in math. Being an engineer, he’s very disappointed, especially because they seem to be quite good at it. I suggested he get the books written by Danica McKellar and give them to his daughters.
Now, I have to say that I can’t imagine myself reading those books when I was that age (of course, I could very well be wrong – although I had some unusual role models). On the other hand, I figure that if there are bright girls out there who are eschewing math and these books get them interested, then I’m all for it. It turns out that my coworker did give them the books and, even better, they really seem to be enjoying them. Maybe they won’t turn into math majors, but he seems a lot happier, and they may be enjoying math more.
I’ve talked about efforts like Nerd Girls in the past, and I have to admit I felt it was stupid to try to ‘girlify’ engineering to attract women. On the other hand, I’m obviously the kind of woman who wasn’t very stuck on social messages about women in science or engineering. It’s not hard to imagine that there are a lot of young, intelligent girls out there who feel social pressure to avoid technical areas because they lack role models. Maybe some of those girls really need things like Nerd Girls and Danica’s books. I don’t have any daughters, so I can’t really say much based on experience. After my experience today, though, I’m wondering if female role models are far more important to some girls than I ever thought.
Second grade logic and rulers February 23, 2012
Posted by mareserinitatis in education, gifted, math, teaching.Tags: angles, education, geometry, kids, rulers, sir cumference
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Today, I went back to work with the second graders. We’ve been spending a lot of time talking about circles and degrees and Babylonian units and π.
My plan has changed from the original one of trying to teach the kids a bunch of applied stuff. I’ve pretty much given in to teaching them historical discoveries in math simply because there’s a lot of stuff you can do that doesn’t require multiplication and division. It’s been a lot of fun, but I decided to try something different but related: I wanted to teach them out to make a formal mathematical proof. Okay, not terribly formal. What I want them to learn is how to use logic to make a proof. I suspect some of them know already (based on some of the arguments I’ve had with my son who has rock solid 7-year-old logic). However, I’d like them to use their brains for good instead of getting out of (or into) trouble.
The thing about geometrical proofs is that they really aren’t that hard. At least, I never found them to be. I remember sitting in 10th grade geometry and being given T-charts. I would race through them and ace them all. I was horribly surprised to see that my classmates had difficulty with them as well as complaining the teacher was too abstract. I threw the idea of proofs out to Mike, and he said that pretty much the only tool you need is a brain, so it’s probably a good idea. (I’d have to disagree…you need a brain…but you also need a pencil, paper, ruler, and protractor. But otherwise, I think he’s right.)
Today, we started with the concept a line and measuring its angle. I know my former math instructor wouldn’t approve, but I’m teaching them to use degrees (aka Babylonian Units) because that’s what’s on the protractor. Also, I’m not sure how versed they are in fractions, so we’re not going to get into fractional parts of π. (Actually, if anyone has ever seen a protractor with units of π rather than degrees, please let me know as I’d love to buy it.)
Once we had a line, then I told them to draw a point on the line with another line coming out of it, so that it would look like this (without the measurements):
Each of them drew the line coming out an a different angle. They all measured their angles and found that they all summed to 180°. A couple of the kids seemed surprised that they all ended up with the same number. Incidentally, those that didn’t seem surprised were very absorbed with the flexible rulers I had brought to use. (Note to self: second-graders are easily distracted by anything novel.) We then talked about how any two angles, if they formed a straight line, would add up to 180° and how this was known as the supplementary angle theorem.
Once we had that down, we used it to prove the vertical angle theorem. It took them a bit to realize that the line created by adding supplementary angles doesn’t have to be horizontal (like in the picture above).
That’s all we got through today, but I plan on using this to show them that the interior angles of a triangle always add up to 180°. It might take us a couple weeks to get there, especially since next week I’m supposed to read them a couple more of the Sir Cumference books.
My many hats February 9, 2012
Posted by mareserinitatis in computers, engineering, gifted, homeschooling, math, teaching, work, younger son.Tags: division, minion, software, work, younger son
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A couple weeks ago, my blog was promoted by a couple of sites and the hits started flowing in. I commented to someone (most likely Gears) how it’s nice to be recognized for my blogging about engineering but frustrating for the lack of recognition for my actual engineering work. Guess I should’ve waited a couple weeks.
Normal work has also been crazy. I’ve been given full control of the Minion and have thrown him in on a new project where he’s learning everything from scratch. It’s similar to projects that I’ve done, but even more complicated and using a different program. So our next couple weeks are going to be real fun as we’re going to be trying to make our way through using this new program and occasionally resorting to the old program for reality checks.
The other serious challenge I’ve been dealing with this week is long division. It’s pretty scary stuff, especially when you have a seven-year-old who is fighting some rather strong perfectionistic tendencies. He’s been getting to the long division portions in his computer math, and he starts to shut down. I’ve been getting more and more frustrated with it, so I decided to put an end to it tonight. I went back and printed out some of the older homeworks so that we could take a couple steps back. I think the problem is that he really thinks he can do everything in his head. I have to admit that his ability to do mental math far outweighs mine: I simply have to write everything down. However, he’s starting to hit the limit of this particular ability, and so he freaks out whenever he has to do a problem where he can’t do it all in his head.
I told him that tonight’s homework was going to be doing some work sheets. With the problems written out on paper, he didn’t seem to have this idea that he had to do everything in his head. The first couple were challenges, but then he started getting the hang of things and was able to execute the last few problems very quickly. By the time we had finished, he was doing 3-digit numbers divided by 2-digit numbers with no problem. We’re going to do some more difficult problems tomorrow and then try heading back to the computer.
We tried a similar approach when he started to get stuck on multiplication a couple months ago. I guess there are some things that really have to be written out to be understood. I just hope he starts to make regular use of his notebook from here on out.
How I can tell the younger son is my child… January 28, 2012
Posted by mareserinitatis in math, younger son.Tags: math, minus, negative numbers, younger son
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The younger son is learning how to manipulate negative numbers in math. However, he was getting very irritated when listening to the ‘lectures’ yesterday. The lecture would use the term ‘minus’, as in -6 is pronounced ‘minus six’. Every time it did that, the younger boy would make some exasperated grunt and say, loudly, “Negative!”
I can only think this may be because I always call them ‘negative’. The term minus, to me, implies an operation. If so, he obviously picks up on subtleties a lot better than I thought.
Outnumbered January 5, 2012
Posted by mareserinitatis in gifted, math, teaching, younger son.Tags: math, teaching, younger son
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Today I’m going to be working with the elementary students again. This will be interesting as I completely switched gears from what we were doing before. The stuff we were doing before was fun, but as we move through the book, it looks like they need a lot of multiplication and division…which most second graders don’t have.
Today, we’re going to learn about other number systems. In particular, I’m going to have them pick a number using Indo-Arabic numerals and ‘translate’ into other numbering systems – Egyptian, Roman, Babylonian, Mayan, and Chinese. This will give us an opportunity to talk about different bases, positional numbers (i.e. the concept of place value), and how many systems don’t have a zero. (Although, there’s debate in some cases.)
After doing the prep, I’m SO glad that we don’t use the Babylonian system. Base 60?! No wonder my math professor got annoyed when we used degrees.
Thanks to the MacTutor History of Mathematics Archive for the picture!
Wordless Wednesday December 21, 2011
Posted by mareserinitatis in family, food/cooking, math, older son, personal, pets, photography, religion, younger son.Tags: cooking, food, Gigadog, hannukah, older son, younger son
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Take that, Larry Summers! December 15, 2011
Posted by mareserinitatis in education, feminism, math, papers, science.Tags: intelligence, male variability, math
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I came across an article on the new research by Kane and Mertz which supposedly disproves the “greater male variability” hypothesis. That is, while averages for both genders are approximately the same, males have more variance in their intelligence. Thus, when intelligence tested, you’ll see more males at both the upper and lower tails of the distribution.
When Larry Summers was talking about the greater male variability hypothesis (GMVH) in his really awful speech, he was talking about those who are at least two standard deviations away from the mean. If you look at the distribution of IQ for each sex, which is what he was referring to, you can see that the ratio at the 98th percentile is approximately 2:1 male to female.
If IQ were an accurate predictor of success in academia and academics came primarily from that top 2% (neither of which are universally true), you would then expect to see approximately 2 men for every woman in those professions. Unfortunately, the ratio is much worse than that (from the perspective of women and feminist men, anyway). This very compelling evidence of social, cultural, and/or economic factors, potentially up to outright sexism coming into play when women are being considered for academic positions. The fact that it is still so far from this ratio makes me have a lot of issues with Larry Summer’s argument. Aside from all that, there is the issue that IQ isn’t the best predictor of success.
However, let’s pretend it is…or that it at least that it may be reflected in math achievement for the tests used in the study. In the study, they took variances from scores on tests like TIMSS and PISA, both of which are given internationally and used to compare various countries’ standing. Specifically, the paper examined the variance question.
To do this, we can begin by looking at the data from IQ Comparison site, which says that the standard deviation in the WISC IV IQ test was about 14.54 for men and 13.55 for women. The variance is the square of the standard deviation, giving the variance for men as 211.4116 and women as 183.6025. If you want to do a comparison, just take the ratio of men’s variance to women’s and you’ll get a variance ratio (VR) of 1.15. Keep in mind that the data this is taken from the US standardization which was used to norm the test, and it was done in the early 80s. If you want to compare that to the data presented in the paper, the US VR in 2003 was 1.11 on the TIMSS and 1.19 on the PISA. In 2007, it had dropped to 1.08 on the TIMSS (no PISA data is given). Therefore, the VR has changed.
The authors use the math testing data to do this for many countries, not just the US. You would expect that if the GMVH is true, then you would see VRs of about 1.15 from most countries and that it is constant in time. What Kane and Mertz find is that the number seem to vary a lot, but many of them have changed. That by itself gives an indication that a VR of 1.15 is not fixed and that the VR may be somewhat cultural. Further, they changed through time. Some of the VRs increased, like in Australia, and some decreased, like Japan’s.
This is the table presented in the paper:
They then attempt to find a correlation between male variance and the VR ratio. If GMVH is true, you would also expect that a higher VR ratio would be highly correlated with males having a larger variance. That’s not what they find, however. The correlation value is fairly low, and the authors state that sometimes a higher VR is actually due to poorer performance on the test by boys.
There is significantly more analysis than I’ve communicated in this post, but the gist is that they found that gender equity in economic and educational arenas were the best predictor of test performance. This gives a good indication that the GMVH is bunk – performance in math is not biologically destined.
Jonathan M. Kane and Janet E. Mertz (2011). Debunking Myths about Gender and Mathematics Performance Notices of the American Mathematical Society
The magical standardized exams December 9, 2011
Posted by mareserinitatis in education, gifted, homeschooling, math, older son, science, societal commentary, teaching.Tags: education, SAT, standardized exams, testing
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I’ve been reading a lot of different takes on the whole fiasco of the Florida school board member with two MS degrees who failed the state’s 10th grade standardized test. His name is Rick Roach.
While it doesn’t seem to be a popular view, I am agreeing with Roach: the test really doesn’t have anything to do with how people will fare in the real world. I’d dare say that grades are probably a better predictor, although they have their flaws, too. Students who do well in school tend to be those who read teachers well and know what they want. They don’t have to be very bright to figure out how to keep teachers happy, follow the rules, and, in general, conform. They stay organized, hand in their work, which was hopefully done well, and keep the people around them happy. I hate to say it, but these are the skills that tend to help people at a job, not passing a standardized exam.
In my view, people who do well in life are those who are able to conform to the expectations of those around them OR those who follow their passions and work very hard at them. I don’t believe that tests do much more than how well one takes tests. And, to be perfectly honest, I’m not sure all the emphasis on getting kids up to speed in science, math, and reading is doing much good and may, in fact, be doing a significant amount of harm.
The reason I say this is the experience with my older son, who is now a sophomore in high school. So let’s start out with a shocker: he got kicked out of school recently. He was going part-time, but he wasn’t sufficiently interested and never made it a priority to be there. This is the same kid who became so engrossed in studying US history that he passed both CLEP exams on the subject, earning him a full year of US history credits at most colleges…in 9th grade.
We decided we better start looking at how he’s going to get his degree, so I figured that since he’s almost 16, he can start prepping to take the GED. For those of you who are unfamiliar, this is a high school equivalency exam, but you can’t take it until you turn 16. It tests on reading, writing, science, social studies, and math. While he has had a decent amount of algebra, he’s never had a formal science class except for one in 6th grade. However, he passed the practice GED with no problems, meaning that he probably won’t even need to study before he can take the exam in a couple months. He’s very happy about that because he doesn’t want to spend his time studying for that: he wants to study to take the macroeconomics CLEP instead. The kid who doesn’t want to be bothered to make it to school on time will work his but off to study something he’s interested in.
I have a kid who is good at passing exams. I don’t have a kid who is a conformist and understands the need to be places on time. (Well, I think he understands…but he’s not going to make the effort unless he really cares about it.) Unfortunately, I think his lack of conformity is going to hurt him a lot in life, probably more than his exam-taking ability will help him. He’ll have an easy time earning his high school equivalency, but what good will this do him if he’s not going to be able to keep a job if he decides he’s not sufficiently interested in working?
I have also come to the realization that he really doesn’t need to know much math. In fact, I think most people don’t. Being a scientist, I use math day in and day out. In my work as an engineer, I don’t use nearly as much math as you’d think. In fact, like Roach said, I know a lot of people who don’t use math all that often. A lot of those people are engineers. A good chunk of engineering education involves teaching processes that invalidate the need for much higher level math. Yes, a lot of it is a cookbook for boiling things down to high school algebra. Now, the good engineers will have a conceptual understanding of what’s underlying those steps, and the really good engineers will understand it mathematically. But realistically, most of what they learn in college, in terms of math, won’t be used. And I say this as someone who is frustrated because I’ve had a lot of math and realize I’m forgetting much of it because I don’t use it.
Going back to the discussion on this emphasis toward pushing more math, science, and engineering hurting students, I’d have to say that there are a lot more kids like my son than people acknowledge. Kids are going to be successful in life when they follow their passion. I’ve seen kids who showed no motivation in classes go and learn the information taught in those classes because they wanted to work on something that required that information. There is so much emphasis on establishing superiority in these academic areas (when we can’t even manage competency in most cases) that we’re not allowing kids a variety of experiences they need to find their interests.
Our education system provides no real motive for learning aside vague promises of getting a good job after high school. I’m sure most students think that their job will be a lot like high school, which is probably not all that inspiring. There is no real motivation for them to learn, their curiosity is damped, they’re never allowed to excel unless it’s in an area where our system is currently focusing. And even then, bright kids are bored because they’re not really allowed to excel and dig into things on a deep level: they have to stay lock-step with kids who have no interest.
The whole ruse reminds me of Fahrenheit 451, where the whole society is distracted by notions of this or that trivial thing being important. Our society is fixated on test scores and ‘competency’ in science and math and writing. However, we’ve failed to pay attention to how and why kids really learn, and we’re delusional to think that competence in testing is the only indicator of who will succeed in life.
Of course, colleges will have you believe this, and there’s a huge industry surrounding making you believe that and providing you with more and more tests you’ll need to pass (for a sizable fee) despite the fact that grades are still the best predictor of college performance. There’s also the politicians who are also convinced that this is the way to fix our country’s problems…most of whom benefit from the system as it is because their kids almost always end up as winners in the education race. It also makes them look like they’re doing something substantial for education, which is why we have the No Child Left Behind legacy.
The gist of this is that most tests are assumed to be measuring things they aren’t measuring. The SAT is not going to tell you if you are going to be successful in life. It can’t even tell you that you are going to do well in college. We are imbuing these tests with magical powers: they have become our Sorting Hat. We believe in the magic of these exams to put people in some sort of ‘succeed at life’ or ‘fail at life’ category because it’s easier than looking at the realities of how our educational system is truly dysfunctional.






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Observation as a parent of a gifted child: laziness March 23, 2012
Posted by mareserinitatis in education, gifted, homeschooling, math, older son, societal commentary, teaching.Tags: acceleration, gifted, gifted education, high school, older son
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The older boy couldn’t seem to make it out of bed to get to high school on time, and when there, couldn’t make it from one class to another in the allotted amount of time. He was spending time in between classes socializing, and outside of school, he wasn’t doing his homework.
In the past week, however, he’s been getting up at 7 a.m. without fail so that he can catch a ride to the library and study economics for a few hours each day. He’s made it through two chapters, including doing all the study guide problems and writing out definitions for vocab words.
His plan is to finish the economics course by the middle of May so that he can take the CLEP exam. This was the course *he* really wanted to do. When we were going through the list of possible topics, he picked it out and said he wanted to do it.
Lazy children don’t do these things, so he’s obviously not lazy. On the other hand, it was pretty obvious his high school classes just weren’t doing it for him.
When we went to a specialist in gifted assessment, she said, “I don’t believe in lazy. Kids aren’t lazy, but they can be unmotivated when presented with something that isn’t sufficiently interesting and stimulating.” That was about seven years ago, and I didn’t believe her. I started to wonder about it when, in sixth grade, the only class he did well in was the only one that was accelerated: math. For the record, he really isn’t all that crazy about math. It wasn’t until last year, after the older boy studied like crazy for his US History CLEP exams and passed them, that I had to admit that she was right.
Now I’m wondering what he’d be doing if he’d been able to accelerate at the high school. The school doesn’t allow students to take AP classes until their junior year. Doing early enrollment at the college (without his GED) wouldn’t have been possible without his counselor signing off. (Given she fought my parents tooth and nail when I was in high school, and he had the same counselor and was doing poorly, I doubt that would’ve ever happened.) But looking at him, I’m seeing what a huge mistake they’re making with these policies.
I feel like I ought to tell them this. But I am also tired of fighting it and feel like it’s just better to focus my efforts on my own kids. This mental fatigue is the kind of thing that makes me see why so many people pull their kids out of the system. There’s just no energy to deal with it, especially when it’s obvious what the solution is. The school, in the meantime, has mired itself down with pointless rules that keep people from excelling, and in some cases, succeeding.