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Number Sense

How Learning Fractions Can Show A Strong Understanding Of Number Sense

We all know that fractions are a big part of mathematics, but how many of us really understand why? In this blog post, we’ll explore what fractions represent and how mastering them can show a strong understanding of number sense. We’ll also take a look at our programs for helping kids learn fractions in a way that makes sense to them. So read on if you are looking to help kids with their fraction skills or simply want to understand this important mathematics concept better!

Fractions Can Be Scary!

Fractions can often seem like a daunting concept, especially at a young age when fractions are first introduced. However, fractions are actually just a way to represent parts of a whole or ratio between two quantities. When broken down into smaller steps, fractions become much easier to work with and understand. 

First, it is important to have a solid understanding of basic arithmetic operations such as addition, subtraction, multiplication, and division. From there, fractions can be thought of as “special” divisions where the bottom number represents the total number of equal parts the whole has been divided into, and the top number represents how many of those parts we are dealing with. 

Understanding fractions is essential in further studying mathematics and real-world applications such as cooking measurements and financial budgets. Don’t let fractions deflate your child’s confidence – with some practice, they can become just another tool in their mathematical toolkit.

Math Builds Upon Itself

If your child seems to enjoy learning fractions and grasping the concepts, they will most likely have a strong understanding of number sense. However, if they are struggling to understand the concept of fractions, they may need to take a step back and revisit number sense. 

Many assume that math is a subject where individual concepts can be easily isolated and learned without prior knowledge. However, this assumption ignores the fact that much of math builds upon itself – number sense, for example, is crucial for understanding fractions. The intuitive understanding of numbers and their relationships lays the foundation for learning about fractions and how to manipulate them. Without this foundation, it can be difficult for a student to grasp the concept of a fraction and how it relates to whole numbers. 

It is important for educators not only to identify and address gaps in a student’s number sense understanding but also to consistently reinforce these basic skills throughout all levels of math education. A student may struggle with more advanced mathematical concepts without number sense as the foundational basis.

At Dropkick Math Academy, our programs are focused around the four pillars of math (number sense, operational sense, algebraic reasoning, and proportional reasoning). This allows our teachers to ensure every child understands the root of all math operations.  

What Is Number Sense?

As we mentioned, if your child is struggling with fractions, they are most likely experiencing a gap in learning in number sense. But what exactly is number sense?

Number sense is understanding the quantity represented by a number. It is not the same as numeracy, which is the ability to do calculations. Number sense develops gradually. For example, a baby starts by recognizing that they see one person or two people. By the time they start school, they can count up to 20 or more. They learn what numbers mean in terms of amounts and quantities. This knowledge forms the foundation for learning more complex math concepts later on. 

Understanding Fractions

Research has shown that children build on their number sense by learning connections among whole numbers, percentages, decimals, and fractions. This can ultimately deepen their understanding of ratio and proportionality. 

An extensive study from The College Student Achievement Project found that understanding fractions is one of the most critical skills needed for college mathematics in both technology and business. However, it was noted that fractions are one of the main areas where students lacked the necessary understanding. This shows a significant gap in learning and missed opportunities for students in their math education. 

Dropkick Math Fraction Programs

Learning fractions and number sense go hand in hand, which is why we offer programs like Fractions & Knights of the Whole Table. This program centers around improving a child’s number sense and proportional reasoning skills with fractions.

We understand that fractions are one of the greatest barriers to math success and one of children’s leading causes of math anxiety. Our goal is to improve your child’s understanding, skills and confidence when using fractions. By giving them the confidence they need to battle the knights and sorcerers, they can overcome the stress of learning mathematics.

Once your child masters the basics of fractions, they can move on to the next program, Becoming A Fraction Hero with Operations. Here, they will work specifically with adding and subtracting fractions with like and unlike denominators. They will also work with multiplying and dividing fractions with whole numbers. 

With the help of heroes like Captain Struggle, your child will master the four pillars (number sense, operational sense, algebraic reasoning, proportional reasoning) using fractions all the way along. In this program, turning your child’s uncertainty into confidence will save the world and make homework struggles a thing of the past!

We Take Fractions Seriously!

As you can tell, we take learning fractions seriously! We want all children to succeed in mathematics and understand that the four pillars of math are at the root of understanding all math concepts. All of our programs address gaps in learning in these four pillars to ensure a child’s success as they learn future equations. 

One of the key ways to achieve success is to give your children a strong foundation in education. In our math help services, our certified Ontario teachers will work with your child to ensure they understand math concepts and don’t just memorize one way of accomplishing them. 

All of our programs are virtual, and we have new classes starting regularly. Learn more about our math tutoring services today by visiting our website

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Learn Math

Why Do We Need Math?

Math. We all had to learn it at some point, but why do we need it? While it may seem like a difficult and pointless subject for many students, it is actually necessary for everyday life. Without math, a lot of things would be very confusing! So when your child asks why they need to learn math (which is inevitable), you will want to know how to explain to them why it is so important. In this blog post, we will discuss why we need math and how to explain to your child that it will help them out in the long run!

Is Math Misrepresented?

Many children don’t like math because of the way it is misrepresented in school. As a math teacher myself, I try to make my classes as fun and enjoyable as possible while showing children why they need math. However, everyone has a different way of teaching, and some children may do well in some teachers’ classes and not in others. How math is presented can either get children excited about learning or deter them from wanting to learn.  

A book called What is Mathematics, Really? By Mathematician Reuban Hersh explored how math is taught in school. It turns out that millions of students experience a depleted version of math which has little resemblance to the mathematics that is practiced in the real world. This may be why so many children believe math is just a subject they must suffer through in school and why they question why they even need to learn mathematics. In our math tutoring at Dropkick Math Academy, we ensure that students are focused on why they need math, making it easier for them to understand and more eager to learn. 

Why Math Is Important

If your child is struggling, suffering from low confidence in math or questioning why they need to learn math, it is vital to help them understand how important math is in the real world. The following are the top reasons why math is important, and everyone needs to learn math to be successful in everyday life.

  1. Math Helps Us Make Sense of the World Around Us

Math is often seen as a dry and abstract subject, but its applications are all around us. In fact, math is essential for understanding the world around us. To take just one example, consider the field of physics. Physics is the study of the physical world and relies heavily on math. The equations that physicists use to describe the behaviour of matter and energy are all based on math. Without math, physicists would be unable to make any sense of the physical world. This is just one example of how math helps us make sense of the world around us

Think about it—everything in the world can be broken down into numbers. From the amount of money in our bank accounts to the dimensions of the rooms in our homes, numbers are a part of everything we do. Math helps us make sense of those numbers and understand how they relate to the world around us. So next time your child is struggling with a math problem, help remind them that they are just trying to make sense of the world around them. 

  1. Math Helps Us Make Decisions

Math can seem a little less daunting if we apply it to real life. So, if children are taught that math is needed to help them make decisions as they go through life, they may think of problem-solving differently. 

To help your child understand, tell them to pretend they are going to get their first car. But first, they need to decide whether to buy it or lease it. They will need to consider the cost of the car, the interest rate on the loan, the length of the loan, their trade-in value, and the monthly budget. With a basic understanding of math, they can plug all of this information into an equation and calculate which option is best for them. Of course, math can also help them with more everyday decisions, whether they should buy the item on sale or wait until later. Or maybe they will need to decide how to divide up a bill between themselves and their friends. In both cases, math could help them make the best decision by giving them all the information they need to weigh their options.

  1. Math Teaches Us How to Think Logically

Many people believe that math is nothing more than a set of boring rules and equations. However, math is actually all about thinking logically. At its heart, math is all about logically solving problems. This process of thinking things through step-by-step can be applied to any number of scenarios outside of math class, from cooking dinner to fixing a broken appliance. Whenever we encounter a problem, we can use our math skills to think through it logically and find a solution.

To do this, we need to be able to identify patterns, make deductions, and spot potential errors. In other words, we need to think like detectives. This process of logical reasoning can be applied to any area of life, from everyday decision making to solving complex problems at work. When a child learns how to think logically, they can develop powerful problem-solving skills that will serve them well in all areas of their lives.

  1. Math Helps Us Develop Critical Thinking Skills

In addition to teaching us how to think logically, math also helps us develop our critical thinking skills. This is done in several ways. First, math provides a structured way of thinking about problems and solutions. By learning to break down problems into smaller steps, we can more effectively identify the key issues and brainstorm possible solutions. Additionally, math encourages us to think logically and systematically about problems. We learn to look for patterns and relationships and to use deductive reasoning to arrive at conclusions. These skills are essential not only in math class but in everyday life as well. Whenever we encounter a problem, whether it’s something as simple as deciding which route to take to work or something more complex, we use critical thinking skills. So next time your child is struggling with a math problem, don’t worry. Just remember that they are actually developing an important life skill and help them brainstorm possible solutions. 

An Important Part Of Everyday Life

Children may not realize it yet, but math is actually an essential part of our everyday lives. It helps us make sense of the world around us, make decisions, think logically, and develop critical thinking skills—skills that are valuable in all aspects of life. So next time your child struggles with a math problem, it could be a great time to point out why we need to learn math. Let’s face it, no one wants to learn something if they don’t know the point behind it!

At Dropkick Math Academy, we use every opportunity in our math tutoring to help children understand why mathematics is important to learn. By also focusing on the foundational concepts (number sense, operational sense, algebraic reasoning, and proportional reasoning), our engaging, innovative programs help students fully understand critical concepts that are the base fundamentals of mathematics. 

We also address deficiencies while correcting any underlying misconceptions about mathematics. All instructors are qualified Ontario Certified Teachers who can offer differentiated approaches, making them accessible for all learning needs.  

Learn more about our math help services by clicking here today!

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Learn Math

Why Collaboration Is Important In Learning

In order for children to learn and grow, it is important for them to engage in collaborative activities. Collaboration allows children to develop social skills, learn how to work with others, and think outside of the box. Students can share ideas, solve problems together, and build relationships with classmates through collaboration. 

A World Of Possibilities

When children connect with other people’s ideas, they are opened up to a world of possibilities for collaboration and creativity. When they can share their ideas, it gives children the opportunity to offer their own perspectives and viewpoints. This can help them to solve problems more effectively.

As a teacher, I often witness children working together towards a common goal and developing a sense of trust and camaraderie that can last a lifetime. When students collaborate effectively, they are able to accomplish more than they could on their own. By working together, students can achieve more than they ever thought possible.

For these reasons, it is easy to see why collaboration is an important part of the learning process. 

A Study In Collaboration

An interesting study by Uri Treisman, a mathematician at the University of Texas at Austin, helped to show how collaboration can be effective in the learning process. Uri began his study after noticing that 60 percent of African American students who took calculus at the University of Berkley, California, failed their classes. He began to look at more university data and found that no Chinese American students were failing calculus, so he asked the question: What is the difference between these two cultural groups that could be causing this discrepancy in learning?

It was found that the difference between the two groups was how they studied. African American students tended to work alone in their dormitory rooms, where they struggled with problems on their own. In contrast, Chinese American students worked on their assigned math problems in their dormitories and in dining halls, working collaboratively with other students. 

As part of the study, Uri and his team of researchers set up workshops where African American students could work on math problems together. Results showed that the improvement in academic achievement was significant. Within two years, the failure rate of African American students dropped to zero, and they even started outperforming their peers. 

The outcome of this research showed how students had to be “taught” how to collaborate with each other. This speaks volumes about how we may be missing out on teaching a valuable skill in our elementary and high schools. Uri and his research team are right to point out that success in college and University requires working with others and good communication. This is a valuable skill that is not only needed in education but beyond in society. 

Alone In Their Struggle

As we know, with math anxiety, children give up on mathematics because they find it difficult and think they are alone in their struggle. By encouraging children to work together on math problems, we may help them see that others may find some or all of the work difficult too. This critical lesson allows children to understand that learning is a process and that obstacles are common. 

Having children work together or with a parent/guardian can give them an opportunity to connect ideas. Collaborating with others and learning about their ideas can develop a higher level of understanding. When students see another way of learning, they get opportunities to make connections between valuable ideas throughout life. 

Collaboration in Dropkick Math

When a child can connect with someone else’s ideas, they can enhance their brain, perspective, and understanding. At Dropkick Math Academy, we believe collaboration is vital to learning. We encourage students to offer ideas in our live sessions and create a comfortable environment for them to work through problems with their peers. 

We also believe that including the parent/guardian in our math tutoring program is essential for a child’s success.  By being actively involved and setting high expectations for their child, parents can help guide them towards having high values of doing well in school. 

Involving The Parent/Guardian

Math can be a difficult subject for many students, and it can be easy for parents to fall into the mindset that they “just don’t get it.” However, by learning math alongside your child, you can become a role model for them and show them that math is something that everyone can understand with a little effort. Just like when they collaborate with their peers, children can gain a lot when working alongside a parent or guardian. Connecting ideas with your child gives them a chance to look at problems differently and work through gaps in learning using alternative methods. It may also help boost their confidence in mathematics when they work alongside a parent, and they may start understanding math concepts better. 

Collaborating with your child will not only help improve your child’s math skills, but it will also give you a chance to bond with them over a shared experience. Additionally, you may be surprised at how much you enjoy math once you give it a try! 

Learn more about our math help services today and how we can help your child. We focus on math for grades 4 to 9 and currently work with various school boards across Ontario to offer subsidized programs. Click to learn if your child qualifies as part of Ontario’s Learning Action Recovery Plan