Course Profile: Foundation Of Mathematics by Vedic Math


Finished by Sapna and Husile

Designing a course prototype is a big part for EC&I 834 in this semester, personally, this is a brand new exploration on the integration of tech with teaching, This is because, in China, most teachers have to follow the designated syllabus to give lectures offered by the school division. Working with Sapna not only allows me to acquire some new knowledge from math which was an absolute nightmare during my schools years, but also this collaborative work does deepen my understanding of how does a tech facilitator develop plans to help teachers advocate for the infusion of technology throughout the curriculum.

When starting to think over how to design our profile, previous experience in EC#I 833 led me to consider how can I apply what I have learned into this project? Therefore, I made an “innovative” attempt that using Flipgrid as our weekly formative assessment tool, while keeping abreast of cutting-edge ones, never stopping exploring those potential creative solutions.

Target Audience:

Vedic math is based on math tricks. Age for learning Vedic math is minimum 10 years and should be taught at the age of 11 or 12 to give a kick-start to maths problems. However, the Targeted Audience for this course would be students who are 16 years and above. This course would be best for students and working professionals who are looking forward to entering universities and clear entrance exams and secure admissions to the best universities of their Dream. This would also be an Ideal course for Math teachers who want to make their Math classes more interesting & innovative and add another skill set to their teaching practices.

Course Timeline:

This online course is comprised of nine sessions and designed to cover the entire module in nine weeks.

Course Delivery:

  • Foundation of mathematics by Vedic Math course will be formatted in a fully online form, which combines a flipped self-learning procedure with weekly synchronous sessions. It should be noted that conceptual videos of related every course content will be posted to Google Classroom (Learning Management system).
  • Prior to each formal course section, students must pre-watch the foundational knowledge video associated with the upcoming class content by accessing through Google Classroom Courses links. When you finish the video, you are expected to fill and submit the Google Form regarding the description of your understanding or the problems you are struggling with.
  • Our synchronous sessions will employ zoom– an online conferencing software (available for PC, Mac and smart devices) to give lectures and help solve the problems encountered.

Course Objectives and Learning Outcomes:

Mathematics is one such analysis that requires reasoning and mind is used at its best but unfortunately, students are largely dependent on calculators even to perform simple calculations. Most of the learners studying conventional mathematics manage to solve problems that are taught to them at school, but they are unable to solve the problems that are new. They will follow the traditional methods which involve lengthy steps and end up drawing to a conclusion that math is difficult. The main reason for this is the lack of basics and the foundations of mathematics are laid in a complicated manner. Innovation in education means doing what’s best for each and every student in the classroom and to do that we have to be flexible and so must be the lessons, and curriculum. Learning mathematics must be a fun and joyful experience and Vedic mathematics are one of such methods which simplify the process of learning mathematics and students will learn to reason which will result in innovations.

The most striking feature of the Vedic methods is its coherence. The entire system is interrelated and unified: the general multiplication method, for example, is easily reversed to allow one-line divisions, and the simple squaring method can be reversed to give one-line square roots. And, these are all easily understood. This unifying quality is very satisfying, it makes arithmetic easy and enjoyable, and it encourages innovation.

Difficult arithmetic problems and huge sums can often be solved immediately by Vedic methods. These striking and elegant methods are a part of a system of arithmetic which we believe to be far more methodical than conventional mathematics. “Vedic” Mathematics is said to manifest the coherent and unified structure of arithmetic, and its methods are complementary, direct and easy.

The learning outcome of this course will enable students to perform complex mathematical calculations mentally and set aside their calculators. There are many advantages of using a flexible, mental system. Students can invent their own methods and they are not limited to one method. This leads to more creative, interested and intelligent students.

Course Module:

Section 1: Welcome & Introductions
Section 2: Multiplication of Complex numbers in seconds
Section 3: Finding Square of Complex numbers
Section 4: Finding Square root of Complex numbers
Section 5: Finding Cube of Complex numbers
Section 6: Finding Cube root of Complex numbers
Section 7: Division of Complex numbers by Vedic tricks
Section 8: Finding Percentage of Complex numbers by Vedic tricks
Section 9: Finding Fraction of Complex numbers by Vedic tricks

Course Materials:

There are no textbooks that are required in our class, but as it is mentioned above, we do demand class participants to use their computers or smart devices which have access to a stable and fast-speed internet connection for our online class delivery tasks. For those who are struggling with how to utilize our toolsets, we listed the instruction videos as follows, wish they would help:

How students join the Google Classroom

How to Join a ZOOM meeting as a Participant

Quick Tutorial for Flipgrid

Attendance:

Attendance will be mandatory, synchronous sessions will be recorded when delivering the class. We understand that there will be a variety of reasons for students’ miss, therefore, all the recorded videos of class contents and E-materials will be accessible for all registered students during the course timeline. On account of those random reasons for missing classes, before each class, we will send an reminder email to all registered students for participation confirmation.

Assessment and Assessment Strategies:

(ONE on ONE Evaluation and Expert Evaluation)
Formative assessment will happen after every class section which aims to record students’ pace for learning outcomes and help students gain an insight into Vedic Mathematics. Teacher will deliver quizzes via Google Classroom, and students will give their video responses to each assignment by using flipgrid, your response video requires a methodical approach, which means in your video, you have to thoroughly describe how you approach the problems, and explain your train of thoughts, instead of simply providing an answer. (suppose educator has adjusted the length of a video to 5 mins). Assigned teachers will give feedback and provide guides by tracing each students’ flipgrid video.

Students are encouraged to work in groups and discuss with each other problems, any meaningful video comments on other students video responses will be marked as part of final summative assessment.

Assignments:

Every week assignments will be shared in each individual Course Module. As specific students require diverse methods of instruction, assignments, and expectations may alter depending on the individual student need.

Rationale:

This course is designed to assist students to recognize their hidden potential, improve their mathematical abilities and also drastically enhance their academic performance and ultimately eradicate Math-Phobia. Learning mathematics must be a fun and joyful experience and this course are designed to serve that purpose.
By the end of every session, students will have a better understanding of Vedic mathematics and will be able to solve problems 100 times faster than normal methods. As students progress through the course they will sharpen their minds which will increase mental agility and intelligence. Students will be learning how to speed up multiplication, Division, finding squares, square roots, Cubes, Cube Roots, performing algebraic Equations in seconds without using calculators. This course will change their paradigm about solving mathematical problems and start to love, enjoy math more than they ever did.

By having regular Interaction with a teacher, students will have more support in mastering the concept, which will boost their self-confidence and cultivates an Interest in numbers.

Obviously, we have a long way to go and have Improvising to do. Any advice is welcome and greatly appreciated!