r/education • u/Independent-Soft2330 • 47m ago
Educational Pedagogy Why you should start asking children what they see and hear in their head when they’re solving problems.
Hi, I'm Ted Shachtman. I went to Vanderbilt for elementary education and cognitive studies and have a master's in computer science. And I've been teaching since I graduated from Vanderbilt in 2022. I'm writing this post to encourage more teachers to ask the questions I started asking two years ago, with great results. When a student is solving a problem and is inexplicably behind the other students, ask them what they actually see in their mind's eye and hear in their inner voice.
What I found is a good seven out of ten students who are behind are behind because of one of three reasons. Reason number one: their inner voice doesn't move on its own and they don't know to use it to solve problems in their head. Number two: their mind's eye doesn't render pictures on its own and they don't know to use it as storage for the problem in their head. And three: they're picturing something in their mind's eye that if you saw what they were picturing would make you fall over laughing at how terrible of a representation it was.
To illustrate these three examples, I have three anonymized stories from my own teaching. The first story resolves what happens when a student is picturing something in their mind's eye that makes you fall over laughing.
I was working as a basic skills instructor in an elementary school. My job was to work one-on-one with students who had been falling behind and bring them up to grade level. This particular student, who I'll call John, was in fourth grade and could not add five plus three in his head. However, when talking to him, it was immediately obvious he was profoundly bright. I'd explain a concept through analogies and his eyes would light up while he offered a distant analog that was, in fact, structurally the same. Yet, again, he couldn't add five plus three in his head.
So I asked him, when you're doing five plus three in your head, what are you picturing and what are you hearing? He said, I hear nothing, but I picture a number line. I was surprised because I picture a number line as well, and I know it to be a very efficient representation for adding in your head. So I asked him to draw the number line, and he drew this. I'm representing it in ASCII below.
|—|—|—|—|—|—|—|—|—|
As I looked at what he drew, a question popped up in my head. You might have spotted it already, but it went, “John, where are the numbers?” He stared back at me, confused. I asked him, “Okay, when you use this number line to add in your head, can you show me by pointing on this drawing what you would do?” He nodded and said, “First I would count to five.” He put his finger on the left.
Then, he tapped each successive vertical line on the number line, Silently, until he got to the fifth. He looked up at me and said, “Now I know I'm at five, and I remember that I have to add three more.” He moved his finger three more times to the right and landed on the eighth, albeit, to know that he was on the eighth line, I had to count there myself. Then he said, “Now I go back to the beginning so I can see how many that is.” He was about to start moving his finger when I asked, “How do you remember where you got to? He replied, “Sometimes it's really tough, especially for big numbers like eight or nine.” Then he moved his finger all the way from the left up to the seventh line and said, “Seven. Five plus three is seven.”
This story has a happy ending. I was able to teach John to put numbers on the number line in his head. He was then immediately able to add five plus three in his head, as well as much bigger numbers such as 16 plus 7. With this incredibly subtle change, just adding numbers to his number line, it unlocked his mathematical ability. Working with him throughout the year, he showed amazing improvement.
The next story I'll tell is with a girl named Cynthia. I worked with Cynthia because she had trouble with problem solving. When presented with a word problem or an unfamiliar type of problem, her teachers described that she had a lot of trouble adapting to it and only really was able to solve that type of question with significant amounts of one-on-one instruction. When I started working with her, I gave her a word problem. I saw her stare at the word problem and asked, “What do you hear in your mind? What do you see?”
She said, “What do you mean?” I asked. “When you are walking through the halls or eating lunch, do you hear a voice in your head that talks and describes the world around you?” Cynthia shook her head no. I asked, “When you're solving a word problem like this, do you hear a voice in your head that talks through the problem?” She furrowed her brow and again shook her head no.
“If I ask you to hear 'My name is Cynthia' in your mind, can you?” She said, “Yes, I can hear that.” I described to Cynthia that most people have an inner voice in their head that talks all the time and it moves on its own. But in her mind, her voice doesn't move on its own— it’s like an arm that only moves when you tell it to.
The way everybody else is solving these word problems is by talking it through in their head. The reason she didn't think to do it was because her mind's voice doesn't move on its own. So, guessing that you should move your mind's voice to talk through the problem is something pretty hard to guess.
Now, there's a reason I knew to ask this specific question. I am exactly like Cynthia, except when I was in elementary school, nobody told me that my inner voice didn't move on its own. I only found this out when I was 24. So, two years ago. And from my experience, I knew exactly how detrimental not using her inner voice to reason through problems was in her elementary school curriculum and would continue to be throughout the rest of her life.
What is it like to not use your inner voice to solve problems and think? It is an utter inability to reason.
My entire life, I never liked to plan. Why? I couldn't. What does it mean to plan? It means to reason, to think things through. In my head, only my images moved on their own. And so, to plan a birthday party on Tuesday, for instance, I could only plan what pictures could represent. Pictures have a very hard time representing a Tuesday. In fact, pictures have a very hard time representing anything even decently abstract at all. For my entire life, I could think very well when I wrote things down. I was very good at spatial puzzles. I was extremely good when talking an idea out loud to a friend. But if you asked me to silently think through a problem, what I thought “thinking” meant is to stare at you with images popping into your mind until some image gave me a fully formed idea, and then speak.
What I would not have given for someone to have asked me the question, “What do you see and what do you hear?” from a young age.
The continuation of my story is similar to the continuation of Cynthia’s story. Cynthia learned to reason in her head, and her teachers reported that her problem-solving ability skyrocketed. She was able to think through novel problems and notice patterns, as was I once I learned to reason in language.
The last story I'll tell is about a girl named Ruby. Ruby was in fifth grade and had extensive trouble doing math in her head. By this time, I had asked the question, “What do you see in your head? What do you hear in your head?” many times.
She was trying to multiply 60 times 20. She said what she heard in her head when multiplying was, “nothing”, and that she never heard anything in her head. I asked her the classic next question: “Can you hear My name is Ruby in your head?” And she said yes. Then I asked her to Draw a picture of what she saw in her head when she multiplied 60 times 20, and gave her a sheet of scrap paper. She wrote down the number 60, and then the number 60 below that, and then the number 60 below that, and then the number 60 below that, and so on, some number near 20 times.
60
60
60
60
60
….
60
Then she moved her pencil back up to the top two 60s and wrote 120 to the side. Then she looked up at me and said, “After that, the picture gets fuzzy.” In her case, this was a double whammy. I taught her to use her inner voice to reason, and I taught her how to picture a number line. After this, her academics greatly improved.
These stories have a moral. Every time I've peeked under the blanket of why a student is falling behind, it is almost never because they are just “not so bright.”
There is always some monster hiding under that blanket: either their inner voice doesn't move on its own, their inner pictures don't move on their own, or how they're using either their inner voice or their inner pictures is ill-constructed for the task. So, I ask the question: If every time you look, you find the same thing, what can you conclude but all the other times you didn't look?
We should be asking more students, “What do you see and what do you hear?” I'm quite convinced that a large amount of difference in academic ability can be explained by some students using greatly inefficient mental processes for tasks that students performing better use efficient ones on. So, in the comments of this post, share stories where you found that what goes on in a student's mind is the fixable reason why they're falling behind.