Finding the Statistical Good in Schools
Posted on Dec 3rd, 2006
by
Steven
Ever have someone lump you into a group into which you didn't belong? Feels pretty bad, doesn't it? Why, then, do so many of us do this to the folks who educate our kids? This week, in our ongoing weekly series on education and learning, we'll be exploring some of the ways in which statistics can help us to not do this, along with some ways in which statistics can legitimately guide us in evaluating our kids' educations.
Personal "Statistics"
For weeks now, you've been hearing me rake statistics through the proverbial mud. Statistically based grade assessments; bad. Fractally based visual assessments; good. This week, however, we'll be doing the very opposite. We'll be looking at the good in statistics. And believe me, it's been there, all along. Right in front of our noses. Or at least, right in front of our eyes. Given, of course, you know where to find it. You see, this good exists only in certain situations. Primarily, those which involve big groups of numbers.
Why look for the good in statistics? Because I recently had a very compassionate conversation with a fellow who is a professional statistician. This fellow is warm, human, and sees the good in numbers. By his own admission, though, he's recently made what he sees as some pretty big mistakes in his personal life. Why? I think, because he used his professional knowledge of statistics to guide him in some very personal decisions. Rather than following his head and heart.
Does it sound like I am implying his mistake came from his not using his head and heart?
In truth, I am not saying this. At least, not entirely. What I am saying, then, is that he should have used both. He should have used both his knowledge of statistics and what he felt in his head and heart.
How can you do both though? Aren't statistics pretty much the opposite of human intuitions, as in, they're "cold hard facts"?
At times, yes, statistics can be cold hard facts. At other times though, like when we need to take our nation's temperature with regard to how well we're teaching our eight graders math, these numbers can stir up some pretty strong personal reactions.
Are you curious as to how we're doing? Not well. Thirty two percent of our eight graders, nationally, can't do basic eight grade levels of math. And only six percent of these kids achieve advanced levels of math (NCES Digest of Education Statistics, 2005).
Feeling anything? I sure am. Why? Because by eight grade, a full third of our kids probably hate math. And probably will for the rest of their lives. Translation. We're failing these kids. And failing ourselves. This based on our national statistical evaluations for the years 1990 through 2005.
Now what though? So maybe we're failing to get these kids to like math. Aren't some people just "bad at math?" Moreover, can we even trust what these numbers imply?
My opinion? Yes, we can trust these numbers. Moreover, we should trust these numbers. As well as what these numbers imply; that for all our advances in education, we are currently failing a full third of our kids in the area of math.
Now consider what this failure means. It means that a third of our kids will probably grow up to be poor money managers. Or at least, they'll probably hate doing things like balancing check books and budgeting for vacations. They'll also probably feel pretty bad about themselves for being like this. In fact, many will feel downright stupid, or angry, or ashamed. Or at the very least, be reluctant to be in situations wherein they may be asked to understand numbers. Like budgeting money with a spouse or colleague.
What other kinds of activities am I talking about?
Now stop.
And breathe.
Now consider what this implies.
It implies that failing to teach kids eight grade math will permanently affect their self worth. As well as their ability to see themselves as being as good as others who can do math.
It will also likely affect their desire to go on to college. As well as their willingness to seek advancement in their careers.
Aren't these conclusions too personally biased to be accurate though? I am, after all, emotionally involved.
Okay, yes. I admit it. My conclusions are personally biased. And I do feel emotionally involved. More to the point, though, I should be emotionally involved. Why? For one thing, because my feelings are a part of what drives me to write this weekly column; I feel personally invested in making a difference in how kids feel about learning. Including about math.
In addition, I see being openly honest as the basis for trust in personal relationships. Thus, if I want you to personally relate to me, I must be personally honest with you. Including about what may appear to be some statistically unsound opinions. And biases.
Admittedly, these opinions and biases are not enough though. I might, indeed, be too personally involved to make a clear decision. So how do I account for this possibility?
I research my personal feelings to see if statistics and I see eye to eye. And you know what? When it comes to teaching our kids math, we do agree. Being bad at math does affect people's overall feelings of being as good as others. This based on my personal research on math over the past two years. So much for the common wisdom that emotionally charged personal feelings have no place in research.
Now for the killer idea.
From what I've just told you, we know we are failing to teach a full third of our kids normal everyday math. Moreover, I feel confident these statistics accurately reflect the problem. The thing is though, these statistics are based on something I've been railing against for weeks now. They're based on the very same test grades I say may injury our kids' love of learning.
Doesn't this mean that I'm now contradicting myself as to whether we should rely on grade to measure our kids progress in school?
Not really.
Let's see why.
To read the rest of this article, click here.
P.S. If you wish to read more of these articles, you can find the complete Education and Learning Series, beginning here, on the Emergence Site.
Personal "Statistics"
For weeks now, you've been hearing me rake statistics through the proverbial mud. Statistically based grade assessments; bad. Fractally based visual assessments; good. This week, however, we'll be doing the very opposite. We'll be looking at the good in statistics. And believe me, it's been there, all along. Right in front of our noses. Or at least, right in front of our eyes. Given, of course, you know where to find it. You see, this good exists only in certain situations. Primarily, those which involve big groups of numbers.
Why look for the good in statistics? Because I recently had a very compassionate conversation with a fellow who is a professional statistician. This fellow is warm, human, and sees the good in numbers. By his own admission, though, he's recently made what he sees as some pretty big mistakes in his personal life. Why? I think, because he used his professional knowledge of statistics to guide him in some very personal decisions. Rather than following his head and heart.
Does it sound like I am implying his mistake came from his not using his head and heart?
In truth, I am not saying this. At least, not entirely. What I am saying, then, is that he should have used both. He should have used both his knowledge of statistics and what he felt in his head and heart.
How can you do both though? Aren't statistics pretty much the opposite of human intuitions, as in, they're "cold hard facts"?
At times, yes, statistics can be cold hard facts. At other times though, like when we need to take our nation's temperature with regard to how well we're teaching our eight graders math, these numbers can stir up some pretty strong personal reactions.
Are you curious as to how we're doing? Not well. Thirty two percent of our eight graders, nationally, can't do basic eight grade levels of math. And only six percent of these kids achieve advanced levels of math (NCES Digest of Education Statistics, 2005).
Feeling anything? I sure am. Why? Because by eight grade, a full third of our kids probably hate math. And probably will for the rest of their lives. Translation. We're failing these kids. And failing ourselves. This based on our national statistical evaluations for the years 1990 through 2005.
Now what though? So maybe we're failing to get these kids to like math. Aren't some people just "bad at math?" Moreover, can we even trust what these numbers imply?
My opinion? Yes, we can trust these numbers. Moreover, we should trust these numbers. As well as what these numbers imply; that for all our advances in education, we are currently failing a full third of our kids in the area of math.
Now consider what this failure means. It means that a third of our kids will probably grow up to be poor money managers. Or at least, they'll probably hate doing things like balancing check books and budgeting for vacations. They'll also probably feel pretty bad about themselves for being like this. In fact, many will feel downright stupid, or angry, or ashamed. Or at the very least, be reluctant to be in situations wherein they may be asked to understand numbers. Like budgeting money with a spouse or colleague.
What other kinds of activities am I talking about?
- Coaching a son or daughter with homework;
("You need to ask you mother to help you, son. You know I'm bad at math.") - Applying for mortgages or college loans;
("What does all that fine print mean, sir, and how long will we have to pay this?") - Enlisting the help of a financial advisor;
("How can we know he's not duping us? Maybe we should just wait to open a retirement account.") - Shopping for food and interpreting the sale prices;
("Why'd you buy this size, honey? You paid twice as much for the laundry detergent." - Evaluating fellow employee performance fairly;
("Ah, you know that guy is just a screw up. So what, his numbers say he's doing okay. You know how numbers lie.") - Discussing with your husband how much life insurance you need;
("Do we have to talk about this now. You know how I hate talking about money.")
Now stop.
And breathe.
Now consider what this implies.
It implies that failing to teach kids eight grade math will permanently affect their self worth. As well as their ability to see themselves as being as good as others who can do math.
It will also likely affect their desire to go on to college. As well as their willingness to seek advancement in their careers.
Aren't these conclusions too personally biased to be accurate though? I am, after all, emotionally involved.
Okay, yes. I admit it. My conclusions are personally biased. And I do feel emotionally involved. More to the point, though, I should be emotionally involved. Why? For one thing, because my feelings are a part of what drives me to write this weekly column; I feel personally invested in making a difference in how kids feel about learning. Including about math.
In addition, I see being openly honest as the basis for trust in personal relationships. Thus, if I want you to personally relate to me, I must be personally honest with you. Including about what may appear to be some statistically unsound opinions. And biases.
Admittedly, these opinions and biases are not enough though. I might, indeed, be too personally involved to make a clear decision. So how do I account for this possibility?
I research my personal feelings to see if statistics and I see eye to eye. And you know what? When it comes to teaching our kids math, we do agree. Being bad at math does affect people's overall feelings of being as good as others. This based on my personal research on math over the past two years. So much for the common wisdom that emotionally charged personal feelings have no place in research.
Now for the killer idea.
From what I've just told you, we know we are failing to teach a full third of our kids normal everyday math. Moreover, I feel confident these statistics accurately reflect the problem. The thing is though, these statistics are based on something I've been railing against for weeks now. They're based on the very same test grades I say may injury our kids' love of learning.
Doesn't this mean that I'm now contradicting myself as to whether we should rely on grade to measure our kids progress in school?
Not really.
Let's see why.
To read the rest of this article, click here.
P.S. If you wish to read more of these articles, you can find the complete Education and Learning Series, beginning here, on the Emergence Site.

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