Day -1.
An introduction to the world of number. This math session is specially designed to those science students who doesn't have a math foundation to solve the concepts of physics.
In this very first video, we will be covering the essential components and its mechanism conceptually. If any questions regarding to this lecture , feel free to reach out. 29-11-2024.
Day -2.
Simplifying Large Number Operations – Gashar Center
The Gashar Center for Contemplative Science and Studies simplifies teaching operations with large numbers through clear, step-by-step methods, visual aids, and practical examples. Integrating mindfulness to boost focus, this approach makes math accessible and stress-free, fostering confidence and problem-solving skills in learners. We thanks to Gen Norbu la, for his kind contribution and we strongly belief that his esteemed teaching will make a huge impact on our science students. 30-11-2024.
Day-3
Teaching unit, area, and the four operations in mathematics focuses on building foundational skills. The concept of unit introduces standard measurements, area covers the calculation of space within boundaries, and the four operations (addition, subtraction, multiplication, and division) develop problem-solving abilities for various scenarios.
Day-4
Teaching circumambulation and volume in mathematics emphasizes practical understanding. Circumambulation relates to calculating the distance around a shape, such as a circle or polygon. Volume involves measuring the space within a 3D object, helping students comprehend real-world applications like capacity and storage.
Day-5
In mathematics, a factor of a number is a whole number that divides that number evenly (without leaving a remainder). For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because each of these numbers can divide 12 exactly. Factors are important in various areas of math, such as simplifying fractions, solving equations, and finding greatest common divisors. Factors can also apply to algebraic expressions, where a factor is a term or expression that multiplies with others to produce the original expression.
Day-6
Prime factors are divisors of a number that are prime, meaning they have only two distinct divisors: 1 and themselves. For example, the prime factors of 12 are 2 and 3.
Composite factors are divisors of a number that are composite, meaning they have more than two distinct divisors. For instance, the composite factors of 12 are 4 and 6.
In summary, prime factors are indivisible into smaller factors except for 1 and themselves, while composite factors can be broken down into smaller factors. Both types are important in understanding the factorization of numbers.
Day-7 ཉིན་བདུན་པ།
Factorization Methods Summary
Prime Factorization: Decomposes a number into its prime factors, e.g., 60=22×3×560 = 2^2 \times 3 \times 5. It’s useful for GCD, LCM, and simplifying fractions.
Other Methods:
Division Method: List all numbers up to the square root and find divisors.
Factor Tree: Visualize breaking down a number into prime factors using a tree diagram.
Trial Division: Test divisibility by numbers up to the square root.
Using Prime Numbers: Test divisibility by primes.
Pairing Method: Identify factors in pairs, e.g., for 18: (1,18),(2,9),(3,6)(1,18), (2,9), (3,6).
These methods simplify factor identification based on the problem's needs.
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