Advertising
Advertising

Published on April 22, 2020

Understand the 2 Types of Growth Curves to Grow Faster

Understand the 2 Types of Growth Curves to Grow Faster

When someone last talked to you about logarithmic and exponential growth curves, you probably had flashbacks to that math class you took in high school. Whether those are good or bad memories for you doesn’t matter because we aren’t talking about mathematical calculations today.

Today, the growth curves we’re talking about have everything to do with your personal development and growth.

What Are the 2 Types of Growth Curves?

The two types of growth curves that are most common are logarithmic growth curves and exponential growth curves. Essentially, they are the opposite of each other.

I’ll start by explaining and exponential growth curve as that is the one people are typically more familiar with.

Exponential Growth Curves

An exponential growth curve is one where the slope of the curve gets greater and greater as you move along it.[1] The best way to imagine an exponential curve, if you don’t know what it looks like, is to think about an investment portfolio.

Over time your investments grow in value, and due to the compound interest, year after year you are making more money than you made the previous year. For example, say you invested $100 and got a 10% return. At the end of the year, you’d have $110. Now next year say you again got a 10% return, but now you have the $110 in the account. This would mean you gained $11 this year, $1 more than the previous year. Over time, this gap between years gets larger and larger, and the slope of the curve gets steeper and steeper!

Now let’s talk a little bit about the logarithmic growth curves.

Logarithmic Growth Curves

A logarithmic growth curve is essentially the opposite of an exponential growth curve. In a logarithmic growth curve, the curve of the line starts by going up very stteply, and then over time the slope of the line continually declines until it becomes essentially flat.

Advertising

Try to picture this like you were starting a 100m sprinting race. If you started from a standstill and then took off with the gunshot, your speed would rapidly increase for the first few seconds. However, as you approached the 30-50m mark, you would be running pretty fast, so it would be harder to run even faster, but you still could if you tried. Now by the time you get to the 80m mark, you’re probably running at just about max speed for you, and no matter how hard you ty, any increases in your speed from here will be minimal.

There are two examples of the types of curves that we’ll be talking about in terms of personal development and growth today.[2] Let’s shift our talk today over to how this information can help you moving forward!

How Understanding Growth Curves Benefits Your Development

They always say that knowledge is power. I believe that this is partly true. I much prefer to think of knowledge as potential power. You could have all the knowledge in the world, but if you don’t know how or fail to apply that knowledge, then what good is it to you?

So let’s explore how understanding each type of growth curve could benefit you as you travel through your personal development and growth journey.

Understanding Exponential Growth Curves

As we discussed, exponential growth curves are ones where the slope of the curve increases at an ever-steepening rate. We applied the example of an investment portfolio here.

However, this is very applicable to your growth journey as well.

Have you ever noticed that as you continually practice certain skills, you get better and better at performing them? Of course you have. That’s pretty common knowledge; as you practice something, you get better and better at it.

Some skills will undergo exponential growth or lead to exponential growth in certain areas of your life.

Advertising

The example that comes to mind is that of entrepreneurship. They say that making the first million in any business is always the hardest. Why is that? Because it takes time to develop and gain experience to make that first million. You have to learn the lessons and develop the skills that allow you to achieve this goal.

So what do you think happens when you go to make your second million after you’ve already made your first? Do you think that it will take less time or more time? It will take less time, right? You’ve already developed the skills and gained the experiences you need to achieve this goal.

Therefore, over time, your returns will get greater and greater as you work on these skills.

Why is this important?

This is important because it shows us that for skills with exponential growth, there is a significant learning curve at the outset, but over time, as we develop these skills, things get easier and easier and our returns get greater and greater!

Understanding this growth curve can remind us that things won’t always come easily to us, that you need to put in the work upfront to achieve these goals, but after you’ve put in that significant amount of upfront work, your efforts begin to pay you back in dividends long-term.

Understanding Logarithmic Growth Curves

Remember that logarithmic growth curves are essentially the opposite in appearance to exponential growth curves. The slope of the curve is very steep at the beginning, but the slope slowly declines over time until the line becomes essentially flat.

A real-life example of this could be seen in top-level athletes and the work they put into their sport and physical abilities or people who are studying for examinations as they try to learn and consume material.

Advertising

Let’s start with the student.

Any student will tell you that the difference between getting 50% on an exam and 70% is not that significant. That’s a jump of 20%. However, they’ll also tell you that the difference in effort required to get 90% versus 95% is often massive. That’s a jump of only 5% this time, but the effort to make that jump is much higher than the initial 20% jump completed earlier.

Athletes experience similar cases in regards to their physical performance. Let’s talk about sprinter again. When you first start training for sprinting, you’re probably pretty slow. However, as you practice and learn the proper form, you’re able to cut 5 seconds off your 200m sprint time in just a few weeks without too much effort. Then, as you keep practicing and perfecting your technique, you can shave off another few seconds as you become more masterful. However, once you reach elite levels of sprinting, the effort and dedication that it takes to shave off even just 1 second, or maybe even less, is truly immense!

So why is understanding this growth curve important?

What understanding this curve can teach us is that to reach truly elite levels of performance of certain skills, we are going to have to work hard. Yes, you are going to see lots of improvement at the outset, but over time as you progress, it’s going to become harder and harder to reach that next level.

You need to ask yourself if are you willing to put in the work to reach those levels on your development journey. Are you willing to work harder than everybody else? Are you willing to work like the top 1% to be the top 1%?

Putting It All Together

Now that you understand the different growth curves and how they can be applied to your life, let’s talk about the critical pieces of information to take away from this article.

The important thing to understand in regards to growth curves for personal development is to identify which curve is likely going to apply to the skill you’re developing so you can prepare yourself mentally for the challenges that you’re inevitably going to have to face.

Advertising

For example, let’s take exponential skills as our first example. We know that the growth we see in these skills early on is minimal. It’s later in the process that you see the fruits of your labors. Therefore, you should prepare yourself mentally for the early frustrations you’re likely to experience.

Understand that even though you aren’t seeing much progress upfront, the effort you’re putting in now is towards a much larger goal and return later.

Now let’s look at logarithmic skills. These are the opposite. Here the growth is fast initially, but over time the returns of your efforts dwindle as you approach elite levels. Now the challenge is flipped. Now you have to do your best to not let your ego get too big as your growth skyrockets initially, and you also have to prevent yourself from getting discouraged later in the process when growth becomes increasingly more difficult.

Apply these lessons to your life. Mentally prepare yourself for the challenges that lay ahead of you. If you can master the mind on your course to personal development, you’ve already overcome one of the massive hurdles that more people succumb to!

Final Thoughts

The two most common types of growth curves, exponential and logarithmic, can easily be applied to many areas of your life and the skills you are interested in investing time and energy into.

Try applying the lessons here to help you overcome the obstacles in your way. However, make sure you remember that all this knowledge means nothing if you aren’t willing to apply it.

More Tips on Learning and Growth

Featured photo credit: Alissa De Leva via unsplash.com

Reference

More by this author

Mark Lynch

Featured Life-Balance, & Personal Development Author

9 Ways to Stop Complicating Life and Start Living 8 Reasons Why Goal Setting Is Important to a Fulfilling Life Why Constant Self-Improvement May Be Bad Sometimes How to Stop Running Away from Difficult Problems in Life How to Get Yourself to Take Action Towards Your Goal

Trending in Learning

1 Learning Methods to Help You Learn Effectively and Easily 2 How Social Learning Helps You Learn Faster and Easier 3 How to Build a Memory Palace to Remember More of Everything 4 How to Make Going Back to School at 30 Possible 5 10 Powerful Learning Hacks to Boost Your Learning Ability

Read Next

Advertising
Advertising
Advertising

Last Updated on September 24, 2020

Learning Methods to Help You Learn Effectively and Easily

Learning Methods to Help You Learn Effectively and Easily

You’re never too old to learn, and this isn’t just some fancy statement; this is many people’s motto in life. If you agree, there are various learning methods to help you ensure that you continue to learn day in and day out.

We have all been learning since childhood—our parents teach us morals, our teachers teach us math, society teaches us acceptance, our work teaches us how to do our job, etc. Even if you’re 70, life has a whole new book of things to teach you; you just need to have the heart and willingness to learn.

What you learn today will always benefit your current and future self. The question is, with such limited time in life, how can we learn effectively?

In this article, I’ll introduce to you the essential learning methods and some of the best ways to learn.

The Best Ways to Learn

There are so many different ways of learning, and here, I’ve handpicked some of the best ways that will definitely help you in being an effective learner[1].

Here Are The Best Learning Methods for Retention

    1. Your Comfort Zone

    For most people, staying in their own comfort zone opens their minds and helps them retain information. For instance, many learn and retain information when they’re taking notes on a piece of paper; others learn by watching videos and documentaries relevant to the topic.

    By finding out how you’re comfortable learning will surely help you in effectively retaining new information, and you will remember it for a longer period of time.

    2. Learning Through Play

    Just like children learning actively, you can learn through play. This doesn’t literally mean building blocks out of plastic Lego, but by implementing what you have learned[2]. If you’ve just learned a new way to make quiche, the best way of making sure you know it properly and remember it is by immediately making it at home.

    Advertising

    3. Pass That Information on

    If you’ve learned something, avoid passive learning, and, instead, pass the information on to someone else.

    When you go through what you’ve learned and are explaining the process to someone else through this teaching method, you will learn and remember better.

    One study found that teaching information is so effective in introducing it to our long-term memory because it forces us to retrieve that information over and over again[3].

    In classrooms, there is a frequent activity of dividing students into groups, and one of them explains to other classmates what the day’s lecture was about. This not only helps the speaker understand concepts better, but when other classmates are being reinforced with the lesson, they also remember better.

    4. Rote Learning Is a Big NO

    Many people try to memorize word by word what they have been taught, as if they were sitting in a written exam. Teachers discourage rote learning in students as well because by only memorizing some words, the goal isn’t met. The main point here is to truly understand and connect the dots of what you’ve learned.

    The generation today has grown up with computers and is used to getting all the information needed at the click of a button, which means they don’t really absorb the true meaning of what they’re learning.

    Rote learning is just like that. You just pick up the information from somewhere and learn it word for word, which doesn’t really help you understand anything, only to memorize.

    Learning is all about being able to express what you have understood about a particular concept. It is being able to give your own opinion about a certain event, instead of just knowing the facts. Somewhere along the line, we do want to learn new things, but some of us have the attention span of a goldfish or simply don’t know the smart learning methods.

    Some people may be more receptive to one kind of method, and some to another. A smart person would try and find out which method of learning is best suited to them, and use that to enhance their learning process. The following learning methods will be helpful for you.

    Advertising

    Types of Learning Methods

    Essentially, there are 7 types of learning methods that researchers have compiled over time. If one resonates with you, it’s likely that it’s your preferred learning method.

    Visual

    This type of learning requires visual material to understand. This could be in the form of videos, graphics, and images. This method helps people in visually understanding what they see.

    You may be this type of learner if you often imagine faces to remember someone’s name, use landmarks to give directions, or need to write down information to remember it.

    Aural

    This kind of learning style uses audio like music and sounds to understand. You may like this learning method if you often remember information after lectures or are good at memorizing the words to songs.

    Verbal

    This method is usually for people who like to speak and narrate their stories in order to learn. This can be done through scripted speeches, impromptu narrations, or even just daily conversations.

    Logical

    Many people like learning through logic; they won’t understand a concept if they’re just spoon-fed it.

    They want proper reasoning to why and how something happened for them to properly learn something.

    These people are often very good at forming arguments, problem-solving, and participating in debates.

    Social

    This is when people learn better when they’re divided into groups and are with other people. These social groups help expand their horizons and give them confidence to ask questions and solve problems.

    Advertising

    Solitary

    This learning style is usually best for people who prefer to learn alone in a confined place that has no distractions whatsoever. They are either easily distracted with other people.

    Physical

    This is a learning technique where people learn through physical acts, like using their hands or simply by the sense of touch.

    This technique is used when a child actively participates in order to learn. For example, to help them understand what “fluffy” means, they are asked to touch a cotton cushion or a hairy cat. This is how children learn and understand better.

    However, many adults learn with this learning method as well. If you enjoy building or designing things, this may be your preferred learning method.

    What types of learning methods suit you better? You can find out in this article: How This Learning Style Quiz Can Help You Make the Most of Your Life

    In order to support any kind of learning listed above, you have to be physically fit and healthy. Your mind and body need to be nurtured in order for any kind of learning method to be effective. Here are some of the things that can be done on a daily basis to maintain a receptive mind and body.

    Habits to Help You Learn

    To be an effective listener, you also have to be able to retain that information. People learn new things every day, but only a portion of those people are able to remember what they learned by the end of the day.

    There are some tried and tested home remedies that have worked like a charm for people who are looking to enhance their memory.

    Sleep More

    An active brain is one that sleeps almost 8-10 hours a day. If you’re overworked and sleep for barely five hours, there are chances that your brain needs rest to retain information.

    Advertising

    But if you’re somebody who sleeps for 11-15 hours a day, you may just be too lazy and need to engage in healthy activities to keep your brain active.

    Eat Healthy

    Include lots of protein and Omega-3s in your diet. Drink lots of water and generally stay away from refined carbs.

    You don’t have to quickly switch over to salads, but just generally try to adapt to a healthier eating pattern. Limit the use of alcohol and caffeine because they slow down your brain, causing a hindrance in your learning journey.

    Here are 15 Brain Foods You Should Be Eating Regularly to Keep Your Mind Sharp.

    Socialize

    By meeting new people every day, you’re not only giving your brain a chance to open up, but you’re also having your brain exercise by getting new information. Talking to people and engaging in daily conversations helps the flow of information.

    Do Activities That Challenge Your Brain

    If your brain hasn’t yet been exposed to challenges where you really have to think and work your mind, you may not be an effective learner, despite engaging in the above learning methods. There are many activities that increase your motor skills, like puzzles, mathematical questions, or even solving crosswords in your daily newspaper. You can also try these 11 Brain Training Apps to Train Your Mind and Improve Memory.

    When your brain is active and running, you possess a better chance of learning new things and actually retaining that information.

    Final Thoughts

    Learning has been a safe haven for so many people, whether it’s about learning to cook a complicated dish for a family gathering or simply about sewing a button on a shirt.

    The best among us are people that don’t let anything get in the way of their learning process; these people make it their life motto to wake up every day and learn at least one new thing before going to bed. And these people are all around us; we are these people.

    The knowledge we gain today can benefit our career, relationships, and our everyday life, so get started now.

    More on Utilizing the Learning Methods

    Featured photo credit: Sarah Noltner via unsplash.com

    Reference

    Read Next