Tag: understanding math

In psychology, the term “illusion of understanding” is used to describe a situation in which a person believes that they understand something better than they actually do. This often happens when people are trying to explain something to someone else. They may think they know it perfectly well, but only partially or superficially in reality. This can be a problem for parents when their children try to explain something to them. Parents need to be aware of this illusion and not interpret their children’s explanations as actual understanding. Otherwise, they may not be providing the appropriate level of support and instruction.

False Sense Of Confidence

The illusion of learning can be a tempting trap for students to fall into. Recognizing information once it is presented can give the illusion that they have learned the material, but in reality, they can only recall it as long as they are given clues. This can create a false sense of confidence and lead to frustration down the road when the material must be recalled without any hints. 

When studying, your child needs to test recall regularly to ensure that they are actually learning the material and not just memorizing it for the time being. By making a conscious effort to recall information without any prompts, they can avoid the illusion of learning and set themself up for success in the long run.

Serious Consequences

Some modern education emphasizes memorization over true learning, which can have serious consequences for students’ development. The illusion of learning, or the confusion between recall and recognition, is a perfect example of this phenomenon in action. When students simply memorize facts or concepts without truly understanding them, they may appear to be proficient in certain subjects. However, this illusion of learning often leads to poor performance later on when more complex material is introduced. 

While many people think that simply memorizing information or performing rote repetition will lead to a true understanding of a topic, this type of behaviour does not indicate comprehension. Instead, true learning occurs when students can recall and recognize the information that they have learned effectively.

At its core, this confusion can have profound implications for children’s learning. When students rely solely on rote repetition or memorization, they fail to grasp the underlying concepts of what they are studying thoroughly. Instead of merely cramming facts into their minds, students must learn how to think critically about the topics presented in class. Only by attaining this level of critical thinking can students better understand concepts and apply them across different situations—ultimately ensuring success both inside and outside the classroom. Thus, in order to help children succeed academically, we must focus on developing their ability to recall and recognize what they are learning instead of simply relying on illusionary memories that may ultimately lead them down the wrong path.

Tricks and Tips

An analogy that I regularly use when speaking with parents about the illusion of learning is that a child can read a book over and over again, but it doesn’t mean they necessarily understand it. In education, we teach children all sorts of tricks and tips to help them learn, but some children just memorize the catchy rhyme or funny diagram instead of grasping the concept. 

There is one rhyme that students love to repeat that goes, “6 and 8 went on a date and didn’t come back till they were 48.” While this is a great way to get children interested in learning multiplication, many simply learn the rhyme, so it appears like they understand their multiplication tables. However, they may not be able to describe how multiplication actually works. 

Unfortunately, this story is all too familiar. I have seen it in far too many children who can throw together many riddles and rhymes to show me their multiplication or division skills, but they do not have any authentic understanding of what they are actually saying. When I ask them more questions about math fundamentals, they often just completely blank out. 

Quick Gratification

Many students often fall into the trap of feeling like they are learning when, in reality, they are simply memorizing information for the sake of quick gratification. This illusion of learning tricks them into believing that their endless hours of preparation will bear fruit, and this sense of confidence convinces them that their studying is effective. However, as most students know all too well, this kind of illusion is often just a mirage; despite all that hard work, study results do not come to fruition. Many students blame themselves for being “stupid” or “dumb” when these setbacks inevitably occur”. But in reality, the root cause of their failure is not a lack of intelligence or aptitude; instead, it is because they have fallen prey to the illusion of learning. 

Ultimately, students need to realize that true learning requires much more than rote memorization; it requires persistence and dedication to reap real rewards. Only then can they break free from this never-ending cycle and succeed in their studies.

We Understand The Illusion Of Learning

At Dropkick Math, we understand the illusion of learning and take steps in our programs to ensure children fully understand the material rather than simply memorize it. All of our instructors are certified Ontario teachers who understand education and the need to work with children to make sure they fully grasp the ideas being taught. 

Our math help services focus on the four pillars of math (number sense, operational sense, proportional reasoning, algebraic reasoning). We teach children that math is fun and that learning it can also be enjoyed through engaging games. So, before you start doing a Google search for “math for grade 4” to help your child with any gaps in their learning, check out our programs and learn how we are different from a typical math tutor. 

Get started today by having your child complete our FREE assessment!