Category: Pillars of Math

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Pillars of Math

What Are The Four Pillars Of Math?

What Are The Four Pillars Of Math

The Four Pillars of Math are four concepts that are essential for students to understand in order to be successful in math. These pillars are: number sense, operational sense, proportional reasoning, and algebraic reasoning. By mastering these four fundamental concepts,  students will be able to solve any problem they encounter in math. In addition, the four pillars of math provide a strong foundation for students to build upon as they move on to more advanced concepts.

The Foundation Of Our Program

At Dropkick Math Academy, the foundation of our math tutoring program focuses on the four pillars of math. These four pillars are essential building blocks for understanding higher-level math concepts. We focus on one or more of these pillars throughout our program in each module. For example, in our first module, Operations, Whole Numbers, and Pirates, we focus heavily on developing a conceptual understanding of both number and operational sense. Without a strong understanding of these operations, it would be impossible to move on to more complex topics like algebra. However, we also touch on the other three pillars in this module. For instance, we use proportional reasoning to explore place value. By the end of the module, students have a well-rounded foundation in arithmetic and are prepared to move on to more advanced modules.

The Four Pillars Of Math

Let’s take a closer look at each of the four pillars:

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. 

Fractions are an excellent example of a concept that builds on number sense. In order to understand fractions, students need to be able to visualize the quantity represented by a number. For example, if there are four pieces of candy and I eat two of them, then I have eaten half of the candy. Fractions are a way of representing numbers that are not whole numbers, and understanding fractions requires a strong foundation in number sense. 

Operational Sense

Operational sense is a critical math concept that refers to a child’s ability to make sense of addition, subtraction, multiplication, and division and use them in problem-solving situations. When a child is able to develop a strong understanding of the operations, they can recognize the relationships among them and develop systems for computing numbers. This understanding helps to form the basis for the four pillars of math.

Operational sense is not just about being able to do the computations but about understanding when and how to use them. For example, a child who knows that addition can be used to find out how many objects are in a group but does not understand that it can also be used to put together two groups of objects has not yet developed operational sense. Operational sense is a critical foundation for success in math, and children who develop a strong understanding of the operations are well on their way to becoming math problem-solvers.

Proportional Reasoning

Proportional reasoning is a unifying theme in mathematics and is often considered the foundation of abstract mathematical understanding. All four pillars connect to proportional reasoning. For example, in whole numbers, students learn about place value which is based on 10s. In decimals, place value is based on 10s with an added number after the decimal point. In fractions, there are different parts of a whole, and students use visual representations to help understand the relationships between those parts. Lastly, in percentages, there are hundredths and relationships are represented out of 100. 

By making connections to prior learning, students see that proportional reasoning is everywhere in mathematics! Proportional reasoning is not just a process but rather it’s a way of looking at the world and solving problems. In essence, proportional reasoning is the consideration of numbers in relative terms compared to absolute terms.

Algebraic Reasoning

Patterns are all around us. They can be found in the seasons, the way leaves grow on a tree, and the numbers we use every day. Understanding patterns is an essential mathematical skill that helps us to make sense of the world around us. 

Algebraic reasoning is a way of thinking that uses mathematics to solve problems and understand relationships. It is an essential skill that is introduced in the early years of learning and continues to play an increasingly important role through grades 4 to 9.

Algebraic reasoning can be used to solve problems in a variety of ways, including by using algebraic equations, graphing, and creating tables and charts. It is a powerful tool that can help us to understand complex ideas and make predictions about the future. By understanding algebraic reasoning, we can better understand the world around us and our place within it.

Learning Skills

The approach used in Dropkick Math Academy teaches children certain skills along with the four pillars to set them up for success in their future education. These include:

Concepts – Concepts are the building blocks of math. If students don’t understand the basic concepts, they’ll struggle to progress. That’s why we focus on teaching concepts in a way that is clear and easy to understand. We want students to really grasp the material so they can build on it later.

Fluency – Fluency is about being able to do math accurately. It’s important for students to be able to recall math facts and equations quickly so they can focus on solving problems. We use a variety of techniques to help students improve their fluency, including games and practice with real-world applications.

Problem-solving – Problem-solving is an essential skill for all students, not just those interested in math or science. Breaking down a problem and finding a solution is a valuable life skill that will serve students well no matter what path they choose. We encourage students to approach problem-solving with confidence and to persevere when they find themselves stuck.

Mastering The Four Pillars

The Dropkick Math team is committed to helping students master the Four Pillars of Math. We believe that this is the best way to set students up for success in their math education. We have created a variety of resources, such as articles, videos, and games, that all focus on helping students understand and master these four concepts and better understand math operations. Visit our website today to start exploring these resources and learn more about our math help services. By taking our FREE assessment, your child can begin to build a strong foundation in math!

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Pillars of Math

What Are The STEM Majors?

What Are The STEM Majors

What Are The STEM Majors?

What Are The STEM Majors

When your child looks to their future, what do they see? If they see themselves in a career that requires math and science skills, they will most likely focus on a STEM major in higher education. A STEM major is a field of study in Science, Technology, Engineering, and Math. These programs are designed to give students the skills they need to succeed in high-demand fields. In this blog post, we will discuss math concepts that are important for students who want to pursue a STEM major in university. We will also talk about how our math intervention program can help prepare your child for success!

The Buzz Around STEM

Recently in elementary education, there has been a buzz around science, technology, engineering, and mathematics. It is well known that our country needs to produce students skilled in the STEM fields to fill jobs and continue our country’s tradition of innovation. However, understanding that we need more children to get excited about stem majors and actually growing the number who go into that field are very different matters.

The STEM majors list includes:

  • Astronomy
  • Biology
  • Chemistry
  • Computer science
  • Engineering
  • Earth sciences
  • Health Sciences
  • Information technology
  • Mathematics
  • Physics

There are numerous branches of study within these individual disciplines leading to various career paths. 

Skills Built From An Early Age

Evidence is mounting to show that STEM skills built from early learning can help students to develop the habits and knowledge that will last them a lifetime of understanding and proficiency. Children naturally learn by exploring, asking questions, and discussing their findings, so it is important to encourage STEM learning early in school.

Early childhood education teachers are currently trying innovative new models to include more STEM education in their classrooms. In elementary school, creative teachers have managed to find STEM-related activities so that children can develop their math, science and technology skills.

In early education, children have the gift for exploration and experimentation already in place. When those natural impulses are matched with math concepts, students can gain a solid foundation to help them move forward throughout school. At Dropkick Math, we offer innovative, online, engaging activities and hands-on offline games to guide students’ exploration while building a solid foundation in mathematical skills.

Math Foundation

It is never too early to get your child interested in a chosen career path. But if that career choice includes math and your child struggles with the subject, our program may be able to help. If you have been wondering, “Is there a math tutor near me?” Dropkick Math can offer a solution. Our programs differ from a traditional math tutor in many ways, including providing your child with the foundation of mathematics in a fun and engaging way. 

The Transfer Of Knowledge

Evidence suggests that basic addition and subtraction math concepts can be used to build upon later in education to accomplish more complicated skills. The “transfer of learning” can often help a child understand a different principle. Transfer of learning has been demonstrated repeatedly in early education studies. For example, early understanding of a mathematical skill can set the stage to incorporate that knowledge later as math processes expand into more complex questions. This is one reason why it is important for children to understand the basic principles of math at an early age. Dropkick Math can help students build on these skills at an early age to help with their math comprehension and overall academic performance throughout their learning years.

The Four Pillars Of Math

At Dropkick Math, we offer fun and engaging programs that involve the parent/caregiver while learning the four pillars of math. The four pillars of math include algebraic reasoning, proportional reasoning, operational sense, and number sense. The approach we use provides alternative studies that allow for conceptual understanding. We recognize common areas of difficulty in mathematics that students may have, and provide instructional practices for addressing these areas of difficulty.

Your child will need to excel in mathematics to continue to a STEM major. But we know that a weak pillar can significantly impact future math success. The gap in learning caused by the pandemic has also affected some children in math. So, we have built our programs so that your child gains a conceptual understanding of mathematics and can get caught up with any missed learning caused by COVID. Contact us today to learn more about our programs and how they can help your child stay on track with their education for the future.

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How Important Is It To Be Involved In Your Child’s Learning

How Important Is It To Be Involved In Your Child’s Learning

How Important Is It To Be Involved In Your Child’s Learning

How Important Is It To Be Involved In Your Child's Learning

Even parents who were top of the math class when they were in school may find themselves perplexed by modern math curricula. But, in this time of disrupted traditional instructions, parents and teachers need to work together to support their children’s math learning. This is why at Dropkick Math, we believe that parent involvement is vital to the success of a child’s math education. By being actively involved and setting high expectations for your child, you can help guide them towards having high values of doing well in school.

Get Involved

One of the main problems is that most parents simply don’t know how to play a more significant role in their children’s math education. This situation can be complicated because many parents struggle with math themselves. This can make it more difficult for them to help their children and often inadvertently pass on their math anxiety. 

What students discover, observe, and learn outside the classroom can benefit them greatly. In real life, they can get practical education applicable to real-life situations, and in school, the instruction focuses on theoretical and the abstract. Parents can help to merge these two realms.

An easy way of interacting with your child and teaching them that math is used in everyday life is to talk aloud as you work through daily tasks. Thinking aloud and asking questions can allow your child to hear how you think which will help them develop the essential skills needed for solving problems. For example, if you were eating cookies, count how many you have, ask what happens when you break them apart and talk about their shape.

When trying to stay involved with your child’s learning, there are some steps that parents can take:

  • staying in touch with the child’s teacher
  • encouraging a child to talk through their math assignments
  • embracing informal math thinking, such as playing games that focus on patterns or counting

A Stressful Time

Educators say to remember that we are in a uniquely stressful time for parents, children, and educators. Many families are still struggling to make remote classes work which means many children have a varying level of support.

Both parents and teachers should be encouraged to talk with one another, not just about the subjects that may need work, but about the student’s skills. Parents should also take time to speak to their children about math. If parents don’t understand the math themselves, they can ask their child to explain it to them, adding to a child’s self-confidence.

Parent Engagement

By learning math with your child, you can become a role model for them. The Ministry of Education recently released information on “Parent Engagement,” which said, “Parent engagement matters. Study after study has shown us that student achievement improves when parents play an active role in their children’s education, and that good schools become even better schools when parents are involved…” 

Practice Perseverance

If you are a parent that is struggling to be engaged in your child’s learning, it is worth the perseverance. Getting parents involved can be productive for everyone involved, and an educationally attentive home setting has been proven to impact student achievement positively.

Learn how our programs at Dropkick Math can help you learn alongside your child. Our programs focus on the four pillars of math and allow the parent and child to work together in a fun and interactive learning environment.

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Pillars of Math

How To Easily Apply Mathematics In Everyday Life

How To Easily Apply Mathematics In Everyday Life

How To Easily Apply Mathematics In Everyday Life

How To Easily Apply Mathematics In Everyday Life

If you take a quick look around your home or out on the street, you will quickly come to realize that numbers are everywhere! From the numbers and minutes displayed on a clock to the sequences of numbers on the license plate, there are various opportunities for children to apply their mathematical skills in everyday situations, whatever their age.

Making real-life connections to numbers can help children with their counting, estimating, adding and subtracting skills. Many don’t even realize they’re using math as they count the number of seconds before they hunt for a friend in a game of hide and seek or play hopscotch on numbered squares in the school ground.

There are many opportunities to demonstrate to children how the need to use mathematical skills is all around us. In the supermarket, while cooking dinner, or on the walk to school all offer many chances to speak about math. And with a bit of nudging, it’s also a chance for children to show you what they already know and how they can work problems out by themselves. This can help build the child’s confidence based on what they’ve previously learned.

In The Supermarket

Taking your child to the supermarket can provide a wealth of opportunities to use their mathematical knowledge. Start by looking at price labels, special offers, and ask them to help calculate a discount on reduced items. Show them how to use multiplication to determine the best value when looking at multibuy offers. Involve younger children by using scales and weighing some of their favourite fruits or vegetables. Also, try to use cash to familiarize your child with handling money and calculating change at the checkout. This is a great way for children to start to understand money and budgets, and it can be fun for them to try estimating the value of the final shopping basket at the checkout.

Algebraic reasoning can also be practiced in the supermarket. Although it may seem like a foreign concept to many children, believe it or not, we do use it regularly. For example, you will need to use an algebraic equation to figure out how many hamburgers you would need for a party if you wanted two hamburgers for every adult, one hamburger for every child, and an extra three just in case. 

Cooking At Home

Try cooking with your child at home using simple recipes that utilize several mathematical skills. Choose a recipe such as muffins that produces a larger amount than the number of people in your family. Have children rewrite the recipe by halving amounts or doubling them. Children can also learn to weigh out ingredients to the appropriate amounts and learn how to read varying increments on a weighing scale.

On A Field Trip

No matter if a child is going on a daily walk around the house or a long car journey, they can begin to understand the use of numbers in the world around them and start to develop mental dexterity. For example, ask them to keep count of silver cars and red cars simultaneously, or use a pedometer to record steps on their regular walk to school. Younger children could be asked such questions as “how many shoes are on the shoe rack?” This can help to encourage children to use unique and complex skills such as counting in twos.

While out on a walk, children can also be encouraged to find patterns in nature. Depending on their age, the more complicated the pattern they may be able to find. This can help them develop their skills in geometry. 

Number Sense

To understand math deeply, the brain needs to form connections. So seeing it in real life can help children form these connections between abstract math concepts and real everyday life. When math becomes more relevant for students, they become more interested, engaged and willing to participate. By incorporating mathematics in everyday life, you could help to develop your child’s number sense.

The Ontario mathematics curriculum for grades 1 to 8 states that “In integrated learning, students are provided with opportunities to work towards meeting expectations from two or more subjects within a single unit, lesson or activity. By linking expectations from different subject areas, teachers can provide students with multiple opportunities to reinforce and demonstrate their knowledge and skills in a range of settings. Also, the mathematical process that focuses on connecting encourages students to make connections between mathematics and other subject areas.”

This helps explain why the curriculum focuses less on memorizing facts and equations and focuses more on critical thinking and problem solving about mathematical concepts. Parents can help extend this learning at home by making the connections between a child’s activities and the math concepts.

Career Choices

Some children are focused on the fact that their favourite career doesn’t have anything to do with math. Therefore, they are not motivated or engaged in learning mathematics. So, it is a great idea for these children to get them looking into the courses they will need to take to earn their degree/diploma in that field. Researching the career more to figure out what is actually required in that position often shows students how math can help them get into the career they choose. Once they see the math behind the career, they may be more motivated to excel to go into this profession in the future.

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 algebraic reasons, operational sense, number sense, and proportional reasoning. With a fun and engaging learning environment, your child can build on their math skills and gain the confidence they need to excel in mathematics. Learn more about our programs today!

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