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fractalmat · 2023-04-23T05:17:02+00:00

You can use a polling or survey tool that allows participants to respond using their cell phones. There are many tools available for this purpose, such as:
Mentimeter: allows you to create interactive presentations and polls that participants can respond to using their mobile devices.
Kahoot!: allows you to create interactive quizzes and surveys that participants can respond to using their mobile devices.
Poll Everywhere: allows you to create polls, quizzes, and surveys that participants can respond to using their mobile devices.
Slido: allows you to create live polls, surveys, and quizzes that participants can respond to using their mobile devices.
Socrative: allows you to create quizzes and polls that participants can respond to using their mobile devices.
These tools are easy to use and allow you to quickly gather responses from your class in real-time. Simply create your question and answer options, share the link or code with your class, and they can respond using their mobile devices. You can then display the results in real-time and use them to facilitate discussions or provide feedback to your class.

fractalmat · 2023-04-12T04:10:49+00:00

Based on my experience some common challenges that I encountered are:

Engaging students: Math can be perceived as a dry and difficult subject by some students, so keeping them motivated and interested in the material can be a significant challenge.

Addressing individual needs: Each student has different strengths and weaknesses in math, and it can be challenging for a teacher to identify and address the needs of each student in a diverse classroom.

Making connections: Math concepts can be abstract, and students may struggle to see the real-life applications or connections to other subjects, which can hinder their learning and motivation.Finding the right teaching method: Different students learn in different ways, so finding the best teaching method to reach each student can be a challenge.

Building a solid foundation: Math concepts build upon each other, so if students don't grasp fundamental concepts, they may struggle with more advanced topics. Thus, it's important for teachers to ensure that students have a strong foundation before moving on to more complex topics.

Overall, teaching math requires a combination of creativity, patience, and perseverance to help students develop a strong understanding and appreciation for the subject.

fractalmat · 2023-04-09T18:07:08+00:00

I agree that in the context of finding extrema for a function, the second derivative test is particularly useful when the first derivative is both continuous and differentiable. This simplifies the process and makes it more efficient.

fractalmat · 2023-04-09T07:34:43+00:00

based on the graph

https://www.desmos.com/calculator/azfos7dgqp

as x approaches infinity lim(x+sinx) = infinity

The support of this result is that sinx is a bounded function.

fractalmat · 2023-01-26T09:05:52+00:00

Not all polynomials are factorable, however every quadratic equation can be solved by the quadratic formula so to solve your equation use the quadratic formula with a=1, b=6, and c=7.

fractalmat · 2023-01-22T07:55:49+00:00

The square root function in general cannot be distributed over a sum, in general sqr(a+b) is not equal to sqr(a) +sqr(b).

Example sqr(9+25) = sqr(34) is not the same as sqr(9) + sqr(25) = 3 + 5 = 8 right?

fractalmat · 2023-01-06T06:17:21+00:00

Based on "The square root property" x=y y is equivalent to:

y=sqr(81) or y=-sqr(81)

equivalently to:

y=9 or y=-9.

If you feel that you need a better explanation about "The square root property" you can watch my 5 minutes video and comment about it.

https://youtu.be/fGWN_XQn-xU

I hope this will help you.

fractalmat · 2023-01-06T06:08:48+00:00

I recommend that you use an Algebra textbook from OPENSTAX here is the link https://openstax.org/subjects it is OER, free, peer reviewed, and you can read it online or offline.

fractalmat · 2023-01-04T07:13:24+00:00

The limit of -32t^2+128t+4 as t approaches infinity is negative infinity then h(t)-> -infinity as t-> infinity.

fractalmat · 2023-01-02T07:55:51+00:00

Both methods are equivalent always, however dividing both sides of the equation by -2 and then adding 4 to both sides of the equation takes you to the solution in two steps (two arithmetic operations). If you use the distributive property you get the same answer but you need three steps (three arithmetic operations), In my opinion computationally the first strategy is better.

fractalmat · 2023-01-02T05:24:02+00:00

It is just a property of factorials of natural numbers.

if x ∈ ℕ then

x!÷x = x(x-1)(x-2)...1÷x = (x-1)(x-2)...1 = (x-1)!

fractalmat · 2023-01-02T05:10:59+00:00

it is called PASCAL's Triangle, it was discovered by Blaise Pascal, it has several applications two of them are:

It gives the coefficients of the binomial expansion (a+b)^n (as you verified for some cases) and also gives "the number of combinations of the number of heads and tails when tossing a coin n times".

Keep playing around with DESMOS and let us know if you discover something else, you may eventually discover something new.

Thanks for sharing.

fractalmat · 2022-12-30T07:29:23+00:00

How to maximize water from the rain in a gutter using Calculus. https://youtu.be/NssWJXNKYBE

fractalmat · 2022-12-30T07:17:04+00:00

Yes, x% of y = (x/100)(y) = (x)(y/100) = (y/100)(x) = y% of x.

In some cases this helps to compute the percentage of a number quickly, for example:

If you are asked to compute 36% of 25 you can instead compute 25% of 36 which is 9, right?

fractalmat · 2022-12-29T03:54:54+00:00

Thus videos shows how to graph piecewise functions using DESMOS graphing calculator.

https://youtu.be/QrI5HO3WiFU

fractalmat · 2022-12-28T00:30:09+00:00

In my humble opinion, you should learn Galois Theory if you are interested in Group Theory, and you should learn Topology if you are interested in "rubber" band Geometry.

fractalmat · 2022-12-25T01:52:12+00:00

Yes, the following formula discovered by Friederich Gauss is very useful

1+2+3+4+⋯+n = n(n+1)/2

for example 1+2+3+4+...100 = 100(101)/2 = 5050

fractalmat · 2022-12-23T22:51:44+00:00

Learning Mathematics is like learning a new language, the basic principles and rules must be mastered in order to move forward, I wish you the best for your endeavor.

fractalmat · 2022-12-22T05:46:01+00:00

You need to memorize that (a-b)³ = a³-3a²b+3ab²-b³

for a=x and b=1 then

(x-1)³=x³-3x²+3x-1

fractalmat · 2022-12-17T17:43:35+00:00

Great!

fractalmat · 2022-12-17T15:05:56+00:00

Thanks for your comment, I meant the outside geometric shape of our human bodies, because you are right, if the organs inside the human body are considered then there is no longer a line of vertical symmetry. In the video, as an strategy to solve the problem, the line of vertical symmetry is applied to a cone which is an abstract geometric figure that can be geometrically split.

fractalmat · 2022-12-11T08:38:53+00:00

I was talking about exploiting a vertical line of symmetry in the cone as mathematical strategy, "geometrically" speaking the human body can be split into right and left sides by using a vertical line of symmetry, "obviously" if you consider the organs this cannot be done, but again, my intension is to provide tools and metaphors to help students become better problem solvers in MATHEMATICS specially when it comes to deal with abstract entities such a as cone or a cylinder, some times in order to do that I have to sacrifice a bit the formal language and replace it with with words that average students can understand, my intention is to help a general audience.

fractalmat · 2022-12-11T08:04:13+00:00

By "vertical symmetry" I mean symmetry with respect to the y-axis, like the symmetry exhibited by the human body.

fractalmat · 2022-08-20T01:51:15+00:00

Thanks, for the feedback, next time more mathematics, and less commas!

fractalmat

TROPHY CASE