Kiya Learning, drawing inspiration from ancient Indian texts like the Taittiriya and Atharva Vedas, has embraced the profound wisdom encapsulated in Vedic mathematics. This system of mathematical principles, anchored in sixteen fundamental sutras (aphorisms) and their corollaries, forms the bedrock of a holistic and efficient approach to problem-solving in mathematics.
Table Of Content
Principles of Vedic Mathematics
Sutras: The sixteen sutras are short phrases or aphorisms that encapsulate various mathematical principles. These sutras cover addition, subtraction, multiplication, division, algebra, geometry, calculus, and more.
Ekadhikena Purvena: This principle means “by one more than the previous one” and is used for multiplication. For instance, to multiply numbers like 9 × 8, instead of conventional multiplication, Vedic math applies this sutra: (9 × (9 + 1)) + (8 – 1) = 72.
Nikhilam Navatashcaramam Dashatah: This sutra deals with the concept of “all from nine and the last from ten” and is utilized for subtraction. For instance, to subtract 987 from 1000 mentally, one applies this technique: 1000 – 987 = 013.
Vertically and Crosswise: This method is used for multiplying numbers. It involves a systematic way of multiplying multi-digit numbers that simplifies the process and reduces the required steps.
Applications of Vedic Mathematics
| Mathematical Area | Vedic Math Applications |
|---|---|
| Arithmetic | Simplification of addition, subtraction, multiplication, and division through Vedic math sutras like “Ekadhikena Purvena” and “Nikhilam Navatashcaramam Dashatah”. Mental calculations become faster and more efficient. |
| Algebra | Alternative methods for solving algebraic equations, factorization, and finding square roots using Vedic math principles. Techniques such as “By One More than the Previous One” can be applied to simplify algebraic operations. |
| Geometry | Vedic math techniques, particularly the “Sulba Sutras,” aid in geometric constructions, calculating areas, volumes, and comprehending geometric principles. These methods offer alternative approaches to solving geometric problems. |
| Calculus | While Vedic mathematics doesn’t explicitly cover calculus, some scholars have identified correlations between Vedic math principles and concepts in calculus. The holistic and systematic nature of Vedic math may offer insights into calculus concepts, aiding in understanding certain mathematical principles. |
Incorporating Vedic Math into Kiya Learning
Kiya Learning recognizes the importance of enhancing students’ mathematical skills beyond conventional methods. By integrating Vedic math techniques into its curriculum, Kiya Learning aims to:
Promote Mental Math: Vedic math encourages mental calculations and improves students’ ability to perform calculations swiftly in their minds.
Enhance Problem-Solving Skills: By teaching Vedic math tricks, Kiya Learning fosters creative problem-solving skills among students, enabling them to approach mathematical problems from diverse perspectives.
Boost Confidence: Proficiency in Vedic math techniques helps students build confidence in their mathematical abilities and enhances their overall performance in math.
Provide a Holistic Approach: By combining traditional mathematical methods with Vedic math, Kiya Learning offers a comprehensive approach to learning mathematics, catering to different learning styles.
Multiplication Magic
Multiplication Magic in Vedic Mathematics Concept Multiplication using the “Vertically and Crosswise” technique. This method simplifies the multiplication of multi-digit numbers by breaking down the multiplication process into simpler steps. Steps Involved 1. Vertical Multiplication: Multiply the digits vertically and note down the intermediate products. 2. Crosswise Addition: Perform crosswise additions of the intermediate products to get the final result. Example Let’s multiply 23 by 35 using the “Vertically and Crosswise” technique: Step 1: Vertical Multiplication × —————– Step 2: Crosswise Addition Add the numbers diagonally and combine the results: 10 + 6 —————– 805 Explanation Vertical multiplication involves multiplying each digit of one number with all digits of the other number and noting down intermediate results. Crosswise addition adds these intermediate products to obtain the final answer. Advantages – Enables faster mental multiplication of multi-digit numbers. – Reduces the number of steps compared to traditional multiplication methods. – Suitable for mental math and encourages a deeper understanding of number relationships.
Subtraction Simplified
| Subtraction Simplified in Vedic Mathematics |
|---|
| Concept |
| Utilizing the “Nikhilam Navatashcaramam Dashatah” sutra to simplify subtraction by applying the “All from Nine and the Last from Ten” method. This technique involves subtracting numbers from the nearest power of 10 or 100 to simplify mental calculations. |
| Steps Involved |
| 1. Identify Nearest Power of 10 |
| Determine the nearest power of 10 or 100 that makes the subtraction simpler. |
| 2. Apply the Sutra |
| Subtract the number from the nearest power of 10 or 100 and adjust accordingly using the “All from Nine and the Last from Ten” method. |
| Example |
| Let’s subtract 987 from 1000 using the “Subtraction Simplified” technique: |
| Step 1: Identify Nearest Power of 10 |
| The nearest power of 10 is 1000 (10^3). |
| Step 2: Apply the Sutra |
| Subtract 987 from 1000: |
| 1000 – 987 = 013 |
| Explanation |
| The technique involves subtracting numbers from the nearest power of 10 or 100 to simplify the subtraction process. This method reduces the complexity of subtraction and aids in performing mental calculations swiftly. |
| Advantages |
| – Enables mental subtraction by simplifying numbers using the nearest power of 10 or 100. |
| – Reduces the effort required for subtraction, making calculations faster and more manageable mentally. |
| – Enhances mental agility and computational skills by encouraging efficient subtraction techniques. |
Conclusion
Vedic mathematics, which has its roots in old Indian writings, provides a special and effective method for resolving mathematical issues. Vedic math methods are incorporated into Kiya Learning’s curriculum to help students become more adept at arithmetic by developing their mental flexibility, problem-solving abilities, and comprehension of mathematical concepts. Students who work with Vedic math not only become more proficient computationally but also learn how to approach mathematical problems holistically. Kiya Learning continues to encourage students to investigate the depth and contemporary applications of Vedic mathematics by means of its creative pedagogical approaches.
FAQs ?
Vedic math is a system of mathematical techniques that originate from ancient Indian scriptures called the Vedas. It includes various shortcut methods, algorithms, and mental calculation strategies for performing arithmetic and algebraic computations rapidly.
Vedic math techniques are beneficial for students, teachers, competitive exam aspirants, and anyone interested in improving their mathematical calculation speed and accuracy. It can be particularly useful for those preparing for exams like SAT, GRE, GMAT, or various competitive entrance exams.
Some popular Vedic math techniques include:
- Multiplication tricks like Nikhilam Sutra (specific method for multiplication by a base), Vertically and Crosswise method, etc.
- Squaring numbers ending in 5 quickly.
- Rapid mental calculations for addition, subtraction, division, and multiplication.
- Calculating squares, cubes, square roots, and cube roots mentally.
Yes, Vedic math is still relevant and widely used as it provides alternative and efficient methods for solving mathematical problems. It helps in building number sense, mental agility, and mathematical confidence among learners.
Yes, learning Vedic math can enhance mental math skills, improve speed and accuracy in calculations, and promote a deeper understanding of mathematical concepts, thus positively impacting overall mathematical abilities.