Mathematical Visualization
Why Mathematical Visualization?
How does the line y = mx + c locate in the coordinate space for different values of m, c? How does the circle equation (x-h)^2 + (y-k)^2 = r^2 move in the coordinate space with varying h,k,r? We explore these and other mathematical equations to understand how different first order and higher order equations respond to changing parameters.
Why Mathematical Visualization for kids ?
Visualizing an equation and how it varies when the parameters are changed, help kids better at understanding the equation and eventually they can imagine the behaviour of the equation under given parameters in their head. While working on engineering design, this ability to imagine the behaviour of different mathematical constructs helps them put many equations together like in a jigsaw puzzle.
The Stem Makers Vijayawada Offers Mathematical Vizualisation Course.
This course is for kids aged 12+ yrs and above. It is one hour class thrice a week.
At The STEMMakers, we believe that understanding mathematics becomes more engaging and meaningful through visualisation. Our programs are designed to help children grasp complex mathematical concepts using interactive models, visual tools, and hands-on activities. As one of the leading training centers in robotics and coding in Vijayawada, The STEMMakers integrates mathematical visualisation with real-world applications, especially in robotics and engineering challenges. This approach not only improves problem-solving skills but also nurtures analytical thinking. Our curriculum aligns with the objectives of schools with STEAM education in Vijayawada, blending science, technology, engineering, arts, and mathematics to provide a holistic learning experience. We train kids on the most advanced graphing tools like Desmos and Geogabra
Students at The STEMMakers explore geometry, algebra, and arithmetic through digital simulations and physical manipulatives, making abstract ideas more tangible and come to life. Whether they’re calculating angles for a robotic arm or using coordinate geometry in design, our students experience math as a tool for innovation. With expert mentors and a technology-rich environment, The STEMMakers transforms traditional learning into an exciting journey of discovery. We aim to cultivate curiosity, confidence, and a lifelong love for mathematics through visual learning and STEM integration. Join us to experience how math can be creative, fun, and foundational for the future.
Topics Covered in Mathematical Vizualisation course
| SESSION | DAY | TOPIC |
| 1 | Tuesday | What are mathematical equations, types of mathematical equations, range , domain |
| 2 | Thursday | Introduction to Line equations, coordinate axis, polar axis, and desmos features. |
| 3 | Saturday | Triangles |
| 4 | Tuesday | Quadrilaterals |
| 5 | Thursday | Pentagon, Octagon etc |
| 6 | Saturday | 3 dimensional objects like cube, cuboid , pyramid etc |
| 7 | Tuesday | All four lines of a square in single equation |
| 8 | Thursday | y = x, |x|, x2, x3 ,|x3|, w,w/o scaling, intercept |
| 9 | Saturday | Circle. Params – center, radius |
| 10 | Tuesday | Elipse. Params – center, long axis, short axis |
| 11 | Thursday | Parabola |
| 12 | Saturday | Hyperbola |
| 13 | Tuesday | Transformations |
| 14 | Thursday | Parametric Equations, line, circle, logarithmic spiral |
| 15 | Saturday | Fun activity – Circle in a circle, circle along a line |
| 16 | Tuesday | Trigonometric functions. Params – amplitude, frequency, phase. Chirp signals |
| 17 | Thursday | Student design |
| 18 | Saturday | Student design |
| ex, e-x, 1/ex, 1/e-x, sigmoid, other exponential functions | ||
| Higher order equations. Effect of scaling and intercept |
Desmos Graphing tool at The Stem Makers Vijayawada
At The STEM Makers, we empower young minds to explore math and science through interactive tools like the Desmos Graphing Calculator and GeoGebra. Our robotics and coding classes integrate fun learning methods, including the use of the Desmos graphing tool to visualize equations and functions. Students get hands-on experience with the Desmos calculator, making complex concepts easy to understand. Whether it’s plotting data or mastering algebra, Desmos graph tools make STEM learning exciting and engaging!
Faq's
Desmos is a free, web-based graphing calculator that allows users to plot equations, visualize data, and explore math concepts interactively. It’s widely used by students, teachers, and professionals for learning and teaching algebra, calculus, and other math topics.
To use the Desmos Graphing Calculator:
- Visit www.desmos.com/calculator.
- Type equations directly into the left-hand input panel.
- The graph appears automatically on the grid.
- You can zoom, pan, and explore points on the graph interactively.
- You can also save your graphs by creating a free Desmos account.
To add a slider:
- Enter an equation with a variable (e.g., y = ax + 2).
- Desmos will prompt you to “Add slider for a.”
- Click “Add Slider” and a slider will appear, allowing you to adjust the variable and see real-time changes on the graph.
To graph piecewise functions on Desmos, use curly braces {} to define the domain for each piece. Desmos will only graph the part of the function that satisfies the condition.
Example:
f(x) = {x < 0: -x, x ≥ 0: x^2}
This will graph:
- -x when x < 0
- x² when x ≥ 0
To write a piecewise function:
- Open Desmos Graphing Calculator.
- Type a function using this format:
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f(x) = {condition1: expression1, condition2: expression2, …}
Example:
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f(x) = {x < -2: 2x + 3, -2 ≤ x < 1: x^2, x ≥ 1: 3}
Desmos will automatically handle graphing the function with clean cutoffs at each condition.
Some of the sample graphs our students plotted using the Desmos tool are
Draw a colourful icecream using Desmos tools. – https://www.instagram.com/p/CpvUngGAExm/
A math twist to Pongal / Sankranthi greetings. – https://www.instagram.com/p/CncpFckStZV/
Happy National Mathematics day – https://www.instagram.com/p/Cme8rKTymtp/?img_index=1
Snapshot from mathematical visualization course. – https://www.instagram.com/p/C7eBuVCSLWM/
Ms Asha Kranthi Nandigam also organized a two day training session on Mathematical Visualization to teachers in Laurel Global High School, Rajahmundry.
If you like to know more about this course Contact us.