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## The Dynamics of Proportional Reasoning – Uncovering Crucial Connections!

Proportional reasoning is an incredibly valuable math concept that is one of the four pillars of mathematics. It requires students to grasp relative size and ratio and proportional relationships between sets of numbers or objects. It also enables children to understand and make proportional judgments in various situations, which are integral to success in mathematics.

When proportional reasoning is understood correctly, children can quickly break down complex mathematical problems into simpler parts, helping them form a strong foundation within mathematics and build a deeper comprehension essential for future math challenges.

However, if a child is struggling in math, they may be missing the basic foundation, including proportional reasoning. As one of the leading math programs in Toronto, Dropkick Math Academy works with students to help repair any misunderstandings or gaps in learning.

If your child enjoys spending time rationalizing and solving puzzles, chances are they enjoy learning about proportional reasoning. As one of the four pillars of math, proportional reasoning offers children the perfect combination of challenges, whether they want to test their problem-solving skills or just strengthen those mental muscles.

With proportional reasoning paving the way toward understanding fundamental mathematical concepts, it’s no wonder why children must get a firm grasp on the subject. Children can power up their equation-solving abilities by fully understanding how deep relationships work in proportional reasoning.

## The Relationships

Relationships are a key component in mathematics, especially in proportional reasoning, as it relies heavily on comparing quantities and values. These relationships are evident through the study of ratios, rates and rational numbers.

An example of how relationships work in proportional reasoning is shown when comparing values in a ratio. When children start to understand relationships, they will better understand the concept of the mathematical equation and how to solve it.

## Developing Proportional Reasoning

Students developing proportional reasoning can generally distinguish between additive and multiplicative relationships. They are able to solve problems involving proportional reasoning and can compare ratios. Students should learn proportional reasoning over several years, beginning in younger grades alongside the development of their rational number sense.

For children who may be struggling with proportional reasoning, Dropkick Math Academy can help! Proportional reasoning is a fundamental component of mathematics and an invaluable asset for students of all ages. This skill can help students tackle any subject that requires arithmetic or mathematical understanding

Students of all academic levels must be equipped with proportional reasoning competencies to successfully get through school and have basic skills beyond their academic years. Employers in various fields may also appreciate workers who possess proportional reasoning abilities, so mastering this important concept should never be overlooked or belittled.

## The Four Pillars Of Math

As experienced Ontario teachers, we have seen a lack of confidence and understanding from our students in mathematics over the years. Upon further review, we recognized four key areas that children struggled with when mastering math – Number Sense, Operational Sense, Proportional Reasoning and Algebraic Reasoning.

We now understand that if students do not possess a strong base in these four pillars of math, they risk struggling to keep up in the classroom setting. Our goal is to improve our students’ foundational skills by incorporating the basic fundamentals in each of our programs to enrich math education for all.

## Our Programs

Seeking relationships between mathematical concepts is a key component of learning, particularly when it comes to children. Understanding relationships between the different elements of mathematics can help children learn more efficiently and set them up for greater success beyond basic arithmetic. However, forcing children to uncover relationships before they understand the basics can be detrimental as it can disconnect them from math, causing them to shut down and be unwilling to engage in learning at all.

Ultimately, introducing relationships into a child’s mathematics learning requires careful and thoughtful implementation; too little and their instruction could suffer, but too much will cause them to become disinterested. This is why we leave the stuffy textbooks behind and make learning fun

At Dropkick Math, our small-class math tutoring approach allows us to tailor lessons to the student’s needs and learning styles. So, whether your child is struggling with algebra or decimals and fractions, our team is here to provide the math learning techniques needed to support and guide your child every step of the way. Trust us for expert math help from caring professionals.

If your child is struggling with mathematics, it is essential to understand where they need extra help. An online math tutor like Dropkick Math Academy can help your child catch up and boost their confidence which will last for years to come. Get started with our program today by filling out our Free Early Indicators Check-In.

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## How Proportional Reasoning Is Used In Everyday Life

As a parent, you might wonder what mathematical concepts your child is learning in school and how they will be used in everyday life. Today, we’re going to take a look at proportional reasoning and how it’s used daily.

Proportional reasoning is the ability to understand that two quantities are in proportion if they change at the same rate. For example, if we know that there are 2 apples for every 3 oranges, then we can also say that there are 6 apples for every 9 oranges. This is because both ratios are equivalent (2:3 = 6:9). This math concept is just one of the four pillars (number sense, operational sense, proportional reasoning, algebraic reasoning) that we focus on at Dropkick Math tutoring company.

## Understanding The World Around Us

Too often, children see math as a dull and difficult subject that has no relevance to their lives. However, they are more inclined to want to learn when they understand why math is important in everyday life. After all, math is more than just a set of arbitrary rules. It helps us to understand the world around us and make sense of the patterns we see.

In fact, math is a vital tool in many different fields, from medicine and engineering to finance and architecture. By showing children how math is used in the real world, we can help them to see its value and appreciate its importance. Only then will they be motivated to learn math and develop the skills they need for success in school and beyond.

## What Are Some Examples Of Proportional Reasoning?

When we speak about proportional reasoning, it is essential to help children understand how it can be used in everyday life. If your child is struggling with math concepts, let them know that they have probably already been using proportional reasoning without even knowing it! If they hear that they already know how to do something, it can help boost their confidence and willingness to learn more.

Some examples of everyday proportional reasoning include:

-When we’re trying to figure out how much shampoo to use, we usually start with a small amount and then add more if we need it. This is because we know that the amount of shampoo is directly proportional to the amount of hair we have.

-When we’re cooking, we often need to double or halve recipes depending on how many people we’re feeding. This requires us to understand that the ingredients are proportional to the number of people we’re serving.

-When we’re driving, we need to constantly adjust our speed based on the flow of traffic. We know that if the traffic is moving faster, we need to speed up; if it’s moving slower, we need to slow down. This is because our speed is directly proportional to the speed of traffic around us.

## Why Is Proportional Reasoning Important?

As you can see, proportional reasoning is a useful skill that we use all the time without even realizing it! So next time your child does something where they need to make a quick calculation, let them know that they are using their proportional reasoning skills.

Proportional reasoning is a skill that allows us to interpret graphs and charts accurately, make comparisons between quantities, and solve problems efficiently. In fact, many algebraic equations can even be solved using proportional reasoning skills. Without these abilities, it would be nearly impossible to navigate daily life tasks effectively. Proportional reasoning is a vital skill that should be developed and honed throughout our education and career.

## Building Upon Math Concepts

Mathematics is often considered a series of isolated concepts, each to be memorized and applied to specific problems. However, this view overlooks the fact that mathematics constantly evolves and builds upon itself. One concept can lead to the discovery or development of another, leading to a deeper understanding of the underlying principles at play.

For example, students who are developing proportional reasoning skills can also improve overall mathematical thinking and problem-solving abilities. Building upon previous concepts is central to the very nature of mathematics and helps explain its power as a problem-solving tool. Without this foundation, Mathematics would not be nearly as effective or versatile. So next time your child struggles with a complex math problem, remember that it may just be laying the groundwork for an even greater discovery in the future. Encourage them to work through the problems using proportional reasoning and demonstrate the equation in a real-life situation to make it more relatable to them.

## About The Four Pillars Of Math

At Dropkick Math Academy, we focus our curriculum on the four pillars of math. As one of the main pillars, we believe that the ability to reason and think proportionally is critical in developing an individual’s ability to understand mathematics. While students may have memorized how to solve a proportion problem, this does not mean they can think proportionally.

As one of the essential understandings of mathematics, all students must acquire good proportional reasoning skills to take them through school and later in life. If your child is struggling with mathematics, it is essential to understand where they need extra help. Our certified Ontario teachers can help your child with any gaps in education and help them catch up with their learning.

## Finding A Reputable Tutoring Company

When it comes to online math help, it can be difficult to find reliable and professional help. Many websites offer generic, automated solutions that can’t address individual student needs. But here at Dropkick Math, we have a team of dedicated math teachers who genuinely care about the success of our students. Our one-on-one approach allows us to tailor each lesson to the student’s specific needs and learning style. In addition, our teachers are all highly trained and passionate about math education. So, whether your child is struggling with algebra or decimals and fractions, our team is here to provide personalized support and guidance every step of the way. Trust us for expert math help from caring professionals.

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# The Left-Brain vs. Right-Brain Myth

When it comes to the left-brain vs. right-brain myth, there’s a lot of confusion out there. People seem to think that the left side of their brain is responsible for all logic and reasoning, while the right side is in charge of creativity and emotions. But this isn’t actually true! In reality, both sides of your brain work together to process information, even when studying mathematics! But, which one is really in charge? Keep reading to find out!

## The Left and Right Brain Working Together

Many people believe that you need to be left-brained or a logical or analytical thinker to be good in mathematics. Whereas, if you are right-brained or a creative and free thinker, you are doomed to struggle with math operations. However, research has proven that success in math is best when both halves of the brain work together.

It is easy to see why math is a logical and analytical subject with a left-brain tendency. But educators now suggest that including a little more “right-brainedness” into a math class can help many students strengthen the connection necessary to get stronger in math

## How The Brain Communicates

The left and right hemispheres of the brain communicate through the corpus callosum, a fibre bridge that crosses between the two sides. Anytime an interaction between the hemispheres of the brain happens, this connection strengthens. So, when using both hemispheres of the brain in mathematics, a student can perform better than simply using one side of their brain.

## Physical Exercises

There are some physical exercises that can help to strengthen the nerve cell pathways between the two sides of the brain. These types of physical movement can help the brain hemispheres to communicate across the corpus callosum. Anytime a child can encourage this interaction between the brain’s hemispheres, they will strengthen this connection.

It is recommended that students get up and move every 20 minutes or so, so this makes a perfect time to try a couple of cross-lateral exercises to force the two sides of the brain to communicate. Try having your child do the following daily before engaging in math activities.

• Touch the right elbow to the left knee, then repeat with the left elbow to the right knee. Keep alternating for 12 sets.
• Place the left thumb and the right forefinger together while the left forefinger touches the right thumb. Pivot them back and forth, similar to the motion in the “itsy bitsy spider” nursery rhyme. Make this move for 1 minute.
• Throw a large ball against a wall with both hands and catch as it bounces back. Play this game for 2 minutes.

## Math Can Be Creative

Contrary to what many people believe, mathematical thinking requires creativity. When working with complex mathematics, it is sometimes the creative thinking that gets a student to the logic of math and vice versa. Seeing a problem in a different way using visualization and creatively reconceiving it, including doing drawings, can help a student find the solution to the problem they’re working through.

The brain is built much like an information superhighway, with both sides supporting one another with every task performed. So, when children are taught something new, both sides of the brain work together as a whole to help them achieve their goals. While the aspects of mathematics can require a more logical approach, sometimes, some creative thinking helps them get to the answer.

## It Is Ok To Be Creative!

Many children think that math is fun. However, some have problems understanding the subject and believing they can also enjoy math. The next time your child is struggling with a math problem, remember that it is ok to be creative. They can use their right brain to come up with new ideas and solutions and then use their left brain to analyze the data and put everything together. If they are still having trouble, don’t worry – there is help available. Dropkick Math can partner with you and your child to help them understand how their left and right brains work together to achieve mathematics success. Contact us today to learn more about our math learning technique and engaging game-based student programs!

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# What Is Number Sense? A Guide For Parents

Plain and simple, number sense is a person’s ability to understand, relate, and connect numbers. It is the sense of what numbers mean.

What value does a number represent? Which number is bigger or smaller? Children with the ability to answer these questions have a firm grasp on number sense. They can perform mental mathematics and look at the world and make comparisons.

Number sense is a group of skills that allows people to work with numbers in math and many other tasks. Students who have a strong understanding of number sense can represent quantities using diagrams and materials explaining how they get the quantity of numbers.They should also be able to decompose and compose number fluently. These children also understand the base 10 relationships in the number system and can compare whole numbers with decimal numbers, considering the value of the numbers. They will be able to visualize and talk about numbers comfortably and solve math problems in their head without the use of a pencil and paper.

Over the past few decades, teachers have solely concentrated on math facts and calculations, not about the number themselves. However, educators have now found that students may struggle with learning math because they don’t have the underlying foundation of what the numbers really mean. Their lack of understanding of number sense means they do not have the basic foundational skills and will struggle in the future. But, with this new information, teachers are changing the way mathematics is being taught, and focusing more time on mastering number sense and automaticity of facts.

## Create A Relationship With Numbers

Number sense is essential for elementary school children because it can promote confidence and encourages flexible thinking. It can allow a child to create a relationship with numbers, so they are able to talk about math concepts as a language.

Strong number sense can help build a foundation for mathematical understanding as one of the four pillars of math. Number sense, especially in the younger grades, can help build the foundation necessary to compute and solve more complex problems as they go into older grades.

In grades 4 to 9, children extend their understanding of whole numbers to rational numbers and are introduced to irrational numbers. Without a solid foundation of this education in early years, students may struggle as math problems become more complex.

## Signs At An Early Age

Children who have trouble with number sense often show signs at an early age. Students that struggle with math typically don’t have a good sense of numbers. As one of the foundational concepts that holds them back from becoming fluid in math, children may struggle with basic operations such as addition and multiplication. They can also have trouble with everyday tasks and skills such as handling money, measuring, and judging time.

As children begin to learn math, it is vital for them to improve their skills and practice number sense, so it does not last into adulthood. Unfortunately, the pandemic caused many students to have a loss in learning over the past couple of years. Students in the younger grades have suffered a gap in mathematics as they learn number sense. As one of the four pillars of math, not understanding number sense will leave a child with a weak math pillar and can significantly impact their future math success.

## Fundamentals In the Four Pillars

At Dropkick Math, we understand children need to encounter math in everyday life to help develop their fundamentals in the four pillars of math. Our programs focus on number sense, operational sense, algebraic reasoning, and proportional reasoning. Our math help services provide personalized number sense programs while pinpointing their individual math needs. These programs are beneficial to children because they offer an interactive learning service that provides clear goals and measurement tools to keep track of your child’s progress.

Our fun and engaging learning environment creates a math playground that can help your child build on their math skills and gain the confidence they need to excel in mathematics. Learn more about our programs today!