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Number Sense

How Learning Fractions Can Show A Strong Understanding Of 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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Why Collaboration Is Important In Learning

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. 

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Math Milestones: What To Expect As Kids Grow Up

Math Milestones; What To Expect As Kids Grow Up

As a parent, you are likely always looking for ways to help your child succeed. You want to be there to support them as they grow and learn new things. You also want to make sure they are hitting the milestones they should be when learning new skills. But one area that can be especially tricky to navigate is math. 

Math milestones can be confusing, but don’t worry; we’re here to help! This post will outline what to expect as kids grow up regarding math skills. There are many different milestones for each grade, but we will cover some of the most important milestones and when you should expect them from your child. For example, as a parent, you will want to ensure your child understands the difference between 2-dimensional and 3-dimensional shapes in grades 1 and 2. Similarly, in grade 5, some milestones to look out for include being able to use more than one way to solve math problems.

Understanding what lies ahead can better support your child along their journey. So, read on for information on developmental milestones in mathematics and the strategies you can use to help your child excel!

A Strong Math Foundation

Each milestone is an important step in developing a solid math foundation. As a parent, it can be difficult to know where your child should be in terms of their education. But knowing what to expect as children grow up and during each grade can help you recognize if your child is struggling. If your child appears to be behind, math tutoring is a great way to keep them on track to hit their milestones. 

Math builds upon the concepts learned the previous year, so before your child reaches a new milestone, they must first accomplish the task currently at hand. In other words, if your child is going into grade 4, but they haven’t mastered the concepts learned in grade three, they may miss milestones and struggle. 

Math Milestones

The following guide can be used to monitor if your child is reaching their milestones. Every child is different and may learn at a different pace, so it is crucial to reach out to your child’s teacher if you are concerned about their progress in their math studies. 

Grades 1 – 2

  • Name basic shapes
  • Understand the difference between two- and three-dimensional shapes 
  • Read digital and analog clocks using words such as ‘half-past’ and ‘quarter to’
  • Do basic subtraction and addition up to 20
  • Use mathematical language to convey thought and solution
  • Predict what comes next in a pattern
  • Count to 100 by ones, twos, fives, and tens
  • Right and recognize the numerals 0 to 100
  • Right and recognize the words for numbers from 1 to 20
  • Describe probability in everyday situations

Grade 3

  • Understand money amounts (e.g. four quarters in a dollar)
  • Understand place value and solve problems with decimal points
  • Create a number equation or sentence from a word problem
  • Use mathematical language to convey thought and solution
  • Count forward and backward from various starting points
  • Know how to do division and multiplication with help from fact families
  • Understand how addition and subtraction are inverse operations  (e.g., 3+5= 8 and 8-3=5)

Grade 4 – 5

  • Be able to use more than one way to solve problems
  • Start applying math concepts to the real world
  • Use mathematical language to convey thought and solution
  • Compare numbers using greater and less than symbols
  • Write and compare fractions and decimals and put them in order on a number line
  • Start two-and three-digit multiplication
  • Add, subtract, multiply and divide money amounts
  • think in a multiplicative way (e.g., if a 3 kg dog grows to 6 kg and a 10 kg dog grows to 13 kg – some may see them as growing by the same amount (that is additive thinking), the first dog actually doubled their weight which is multiplicative thinking)
  • Name various types of triangles and quadrilaterals

Grades 6 – 8

  • Use coordinates to find points on a grid
  • Work with basic geometric shapes, including angles, lines, and types of triangles
  • Begin basic algebra with one unknown number
  • Use mathematical language to convey thought and solution
  • Use formulas to integrate math concepts and solve complicated problems
  • Use formulas to calculate and understand the relationships between perimeter, area and volume of shapes
  • Ability to estimate and make sense of answers when using operations with fractions
  • Use proportional reasoning to solve problems involving rates, ratios and percentages
  • Understand that numbers can be represented in various ways like decimals, fractions, bases, and variables

Highschool

  • Use numbers in real-life situations
  • Use algebraic reasoning to estimate, think about, and solve mathematical relationships
  • Use mathematical language to convey thought and solution
  • Begin to understand how math ideas build on one another
  • Use maps, graphs, or other representations to learn and convey information
  • Begin to see that some math problems don’t have real-world solutions

Keeping Your Child On Track

Math milestones are important not just for children but for parents too. By understanding what math skills your child should be mastering at what age, you can ensure that they’re on track and help them if they’re struggling. But keep in mind that these milestones are just a general rule. Math skills can be dependent on visual abilities, working memory, and language. 

While these are just general milestones to watch for, there are some “tried and tested” tips for helping children achieve them, including: 

A Different Type Of Math Tutor

Dropkick Math understands where children should be with their understanding of mathematics. We are a tutoring company that differs from others by getting to the root of any misunderstandings your child may have about math. All of our instructors are certified Ontario teachers who know how to assess children to ensure they hit the milestones with their peers. Other traditional tutors tend to only work on the problem at hand, but this will not help the child progress in their math skills.

If you are searching for math help online, look no further. We offer fun and engaging programs your child will look forward to each week. Our programs aim to build confidence and teach children to enjoy math while hitting those important milestones.

Check out our programs today!

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Online Math Tutor

How Technology Will Play A Large Role In The Future Of Education

How Technology Will Play A Large Role In The Future Of Education

As technology advances at an alarming rate, it’s no secret that its influence is being felt in all aspects of life, including education. While there are some who may be apprehensive about how technology will change the educational landscape, there are many reasons to believe that it will play a large role in the future of education. Some of the advantages that technology brings to the table include increased access to information, opportunities for personalized learning, and more efficient ways of communicating and sharing ideas. As more schools embrace digital learning tools and strategies, parents can feel confident that their children are getting the best possible education.

How Education is Changing

As parents, we want what is best for our children. We hope that they will have opportunities to succeed in whatever they choose to do in life. One of the most important things we can do for our children is to provide them with a good education. In the past, this has meant sending them to a traditional school where they are taught in a classroom setting. However, with the advent of technology, the way that education is delivered is changing. 

Technology has always been a part of education, but it was usually reserved for special classes or for students who needed extra help. However, technology has become a front and centre effort to keep classrooms running with the pandemic outbreak. From Zoom calls to Google Classroom, technology has allowed educators to continue teaching even when they can’t be in the same room as their students. And while there have been some challenges associated with this transition, overall, it has been a positive experience for both students and teachers. With the use of technology, students have been able to stay engaged in their learning and continue making progress even during a time of upheaval.

In addition, there are now a variety of online resources that students can use to supplement their learning. While technology cannot replace the in-person classroom experience, it can be used as a positive way to help students learn.

Future Occupations

It is no secret that the world is constantly changing and that change is only accelerating. With new technologies and industries emerging all the time, it can be hard to keep up. This is especially true when it comes to children and their future occupations. A recent study by the World Economic Forum estimates that 65% of children entering primary school will find themselves in careers that today do not even exist. This is a staggering statistic that highlights just how important it is for children to be adaptable and open-minded when learning technology. While it may be scary to think about, it also presents an exciting opportunity for children to forge their own path in the world. As long as they can embrace change and learn new things, they will be well-positioned to succeed in whatever the future may hold.

Technology In Education

Technology has always been an integral part of education, from the chalkboard to the overhead projector. However, the future of technology in education is poised to have a much more profound impact on how students learn. As students become more comfortable with digital tools and resources, teachers are able to expand beyond linear, text-based learning to engage students who learn best in other ways. For example, students who are visual learners can benefit from using video and graphic applications to explore new concepts. Similarly, students who are auditory learners can use audio recordings and podcasts to supplement their understanding of course material. By harnessing the power of technology, teachers can create a more dynamic and engaging learning environment that better meets the needs of all students.

The future of technology in education can also be used to improve communication. Technology can help students connect with each other and with their instructors in new ways. For example, students can use video conferencing to participate in class discussions from anywhere in the world. They can also use online chat rooms to collaborate on group projects. In addition, students can use technology to research topics more effectively. With a few clicks of a mouse, they can access a wealth of information that would otherwise be unavailable to them. As a result, technology has the potential to improve the quality of education significantly.

Some of the technology that students will see in the not-so-distant future may involve:

Social media – Allowing students and educators to post ideas and comments in an interactive learning environment. Also, students may follow influencers and learn from their posts. 

Simulation and models – Digital simulations and models can help teachers explain difficult concepts. Software is currently being developed to help students understand evolution, a simulation of how electrons interact with matter and much more!

Assessments – With new technology, teachers can collect real-time assessment data from their students. They will better understand how far along each student is, how much time a student spends on each question and whether their answers are correct. 

Games – Technology in the classroom will include commercial game-like simulations that put students in professional roles like journalist, city planner, or engineer and ask them to solve real-world problems. Some teachers believe that by simulating real-life problems, video games can bring about behavioural changes in the students by making them more goal-oriented.

Virtual Reality – With many brands of virtual reality offering innovative learning resources, educators are exploring the idea of it being capable of immersing students in their chosen subject and helping them to learn. 

Interactive Textbooks – Technology is changing the way we think of textbooks. Future interactive textbooks may have web-based sites that include videos, animations, assessments and other materials that can support the learning of new content. 

Online Resources

Here at Dropkick Math Academy, we are proud to be one of the online resources born during the pandemic that can help children facing a gap in learning. As a group of Ontario Certified teachers, we saw the need for more resources for children aged 9 – 15, and decided to take action. Our programs focus on the four pillars of math (number sense, operational sense, proportional reasoning, and algebraic reasoning) and provide support in learning key math skills by focusing on relationships and engaging the parent/guardian.

Math is a subject that requires confidence and certainty. Without it, students can become overwhelmed and quickly give up. That’s why our math programs are designed to turn uncertainty into confidence. As students navigate through the program, they’ll be rewarded with incentives to keep them engaged and eager to continue learning. With each successful math operation solved, your child’s confidence will grow, giving them the skills they need to succeed for years to come.

Math education has evolved over the years, and with the continued access to technology in the classroom and at home, it is changing even more. Learn more about our math help services and how we differ from traditional math tutoring services. Get started by having your child take our FREE assessment today!

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How To Help Your Child With Multiplication

How To Help Your Child With Multiplication

Math can be a stressful subject for many parents, and multiplication is one of the most feared subjects. When your child comes to you for help with their multiplication, you may feel like simply running away. If this sounds like you, chances are your fear of multiplication all comes down to two reasons. The first was that the procedures you were taught in school didn’t truly teach you the intricacies of the operation. Secondly, multiplication can be complex and has many different manifestations. It is ok to reach for help, so if you are thinking of math help services for your child, contact Dropkick Math today!

Making Math Fun!

Due to the confusion around multiplication, many parents are left wondering if there are any ways of making learning multiplication fun, enjoyable, and easier. Learning multiplication is a vital skill that children must learn before entering high school. Therefore, it is essential that parents try to find different ways to teach their children, so they do not fall behind in their studies.

One solution to helping your child with their multiplication is online math tutoring. But, if you want to engage your child with some offline learning, we can help with some highly effective tips on how to teach multiplication the easy way.

Hang Up A Multiplication Chart

This is an old technique, but it has stood the test of time. Go online and find a multiplication chart that you can download and print. Sit down with your child and go through the multiplication chart, filling in each individual box together. Hang the completed chart up in a place where your child will see it regularly (e.g. the refrigerator door, next to the family computer, or their bedroom door.) Set a regular time for you and your child to sit down and have a casual run through a particular set of multiplications a few times a week. Just keep in mind that the more they see and practice their multiplications, the more likely a child can learn them.

Take One Step At A Time

Teaching multiplication should be like building a house. You need to start with the foundation first, so teach your child the simplest multiplications first and save the harder ones for the end. The two times table is an excellent starting point as they’re pretty straightforward and just involve doubling each number. 10s are simple, too, as they just involve moving the number one place value to the left. Once your child has mastered the basics, their newfound sense of confidence can help them conquer the more complex tables.

Teach Some Multiplication Strategies

One of the great things about mathematics is that it can be full of strategies to help children learn. Some examples of strategies include:

x 0 – always equals zero (6 x 0 = 0) or (100 x 0 = 0)
x 1 – equals that number (1 x 8 = 8) or (9 x 1 = 9)
x 2 – double that number (2 x 4 = 8) or (10 x 2 = 20)
x 3 – double and one more group (3 x 2 = 6) or (3 x 11 = 33)
x 4 – double, double (4 x 2 = 8) or (4 x 20 = 80)
x 5 – count by fives (5 x 10 = 50) or (5 x 8 = 40)

These strategies can be fun, but it is important to encourage your children to understand why these techniques work and the mathematical reasoning behind them.

Check Their Fluency!

Once your child seems to be getting the hang of their multiplication, it’s time to put them to check their fluency. Choose times when there’s nothing else going on and no distractions. This can include walking them to school or while you’re waiting for a bus. Try to make the questions fun and entertaining and normalize these check-ins by allocating a specific time of the week they will happen rather than springing it on them randomly. These quizzes should not be too stressful and should be aimed at building your child’s confidence by praising what they have learned and how far they have come.

Enroll Your Child In Dropkick Math

If your child is struggling with their multiplication or other foundational math skills, Dropkick Math can help. Our custom-tailored programs are specifically created for students, helping them gain confidence in the building blocks of mathematics and develop conceptual understanding. We create a fun and dynamic educational environment through engaging games and interactive learning tools. Our Waterloo math services help children in the area and throughout Ontario. All of our programs are taught online to be accessible to any child anywhere. 

Get your child started today with our FREE assessment!

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