What you'll learn

In this course, you will learn the concepts of place value system in a visual gamified way.
Addition, subtraction, division and multiplication of numbers in an easy fun visual way.
Understand how closely Arithmetic and Algebra are related.
Learnings from this course will create a strong foundation for learning advanced math concepts.

Course content

7 sections • 23 lectures • 1h 13m total length

Introduction1:05
Exploding Dots is the name of an astounding mathematical story that starts at the very beginning of mathematics – it assumes nothing – and swiftly takes you a wondrous journey through grade school arithmetic, high-school polynomials algebra, infinite sums, and advanced mathematics and unsolved research problems baffling mathematicians still to this day.
It starts with the mathematics you already know and transforms it in astounding new light. You and your students will immediately see the power you each have to play with and understand advanced mathematics with absolute ease.
The story of Exploding Dots is best for primary school students, for high school students, for college students, and for all adults interested in exploring cool and exciting mathematics!
Exploding Dots covers arithmetic and algebra of school mathematics – and a lot more! – but is not tied to a particular curriculum. It is directly relevant to classroom work and remains universal.

Base-2 Number System0:09
Playing with dots using 2 to 1 rule4:09
In this lecture you just need to know how to count. With some simple rules, we are going to play with dots and in the process learn about base-2 number system aka the 'Binary Number System'
Let's test our knowledge of base 2 or the binary number system
Base-3 Number System0:09
Playing with dots using 3 to 1 rule2:47
Now that you had fun playing with "2 to 1"machine, let's make a small change in the rule and see what happens. In this lecture we will learn about base-3 system aka "Ternary Number System".
Let's test our knowledge of base 3 or the ternary number system
Base-10 Number System0:10
Playing with dots using 10 to 1 rule4:06
Now that you had fun playing with "2 to 1" and "3 to 1" machines, let's make another small change in the rule and see what happens. In this lecture we will learn about base-10 number system aka "Decimal Number System".
Let's test our knowledge of base 10 or the decimal number system

Single digit division4:13
In this lecture, we will explore how to perform single digit division using dots
Let's test our knowledge of division with dots
Division with large numbers5:06
In this lecture, we will understand how to perform division by matching a pattern of dots.
Let's test our knowledge of division of large numbers with dots
Advanced topics in Division5:29
In this lecture, we will explore some advanced techniques to perform division.

X - The Unknown Base4:29
In this lecture we will introduce algebra using the same Exploding Dots approach we used for arithmetic.
Let's test our knowledge of the Base-X System
Addition and Subtraction of Polynomials4:18
In this lecture, we will explore addition and subtraction of polynomials using dots.
Let's test our knowledge of Addition and Subtraction of Polynomials
Division of Polynomials4:30
In this lecture, we will explore division of polynomials using dots.
Multiplication of Polynomials5:37
In this lecture, we will explore multiplication of polynomials using dots.
Let's test our knowledge of Multiplication and Division of Polynomials
Let's learn and practice more0:21

Requirements

Curiosity, Open mindset, Counting skills

Description

No matter what your relationship with mathematics be, the "Magic and Joy of Exploding Dots" course is an invitation to experience its uplifting joy anew. This course builds the basic foundation of mathematics with Exploding Dots.

In this course, the student will

- learn the basic concepts of Exploding Dots, a revolutionary concept that changes the way we learn and teach mathematics.

- understand how the place value system works. The student will understand how binary, ternary, decimal and other place value system works in a unified, fun and visual way.

- play with arithmetic operations (addition, subtraction, multiplication and division) in a purely visual way using dots and antidots. The student will be able to perform long division with ease in a fun and visual way..

- use the exact same concepts to perform similar operations in algebra in a fun and visual way. Be ready to experience the AHA moment when you discover that Arithmetic and Algebra are conceptually one and the same thing.

- solve lots of quiz questions along the way to fortify the concepts learnt.

Note: Free worksheets will be provided once you finish the course to practice fun puzzles and further fortify the concepts of Exploding Dots.

Enjoy and all the best !!

Who this course is for:

School Teachers, Students and Homeschooling Parents, Everyone

What you'll learn

Explore related topics

Course content

Introduction1 lecture • 1min

Playing with Dots6 lectures • 12min

Place Value System4 lectures • 10min

Performing Mathematical Operations - Addition and Subtraction3 lectures • 9min

Division3 lectures • 15min

Multiplication1 lecture • 7min

Transition from Arithmetic to Algebra5 lectures • 19min

Requirements

Description

Who this course is for: