Designing a Multimodal Learning Preference Test Using VARK Model

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A survey is being designed to assess learning preferences using the VARK model, featuring 16 multiple-choice questions with options for visual, aural, kinesthetic, and read/write learning styles. The results will be scored to identify dominant learning preferences, such as visual or multimodal learners. To address the multimodal aspect, an algorithm is needed to analyze the scores effectively. The test may be delivered through an app incorporating various formats, including video questions that engage different learning modalities. This approach aims to reveal interesting trends in learning preferences despite concerns about the test's validity.
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Homework Statement



For my data management class, I want to make a survey that has questions to test your learning preferences based on a VARK model (visual, aural, kinesthetic, and read/write) (I know the validity of the test itself is questionable, but I still think some interesting trends might be observed).

The test will consist of 16 multiple choice questions, each of which having a visual, aural, kinesthetic, and read/write option. I take the 16 answers and then give them some score: V/A/R/K so 12/2/1/1 would indicate someone who is a strong visual learner. I was just wondering what kind of algorithm to use to determine if someone is multimodal (4/4/3/5, for example), or has a mild visual learning style (8/4/2/2).

Homework Equations



I have no idea how to approach the problem.

The Attempt at a Solution

 
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I think you would need to design an app to give the test because of the auditory and kinesthetic aspects.

One approach might be to create video questions:

1) shows the question with a graphic visualization or speaks the question with a graphic
2) speaks the question with blank screen
3) shows a person speaking the question while articulating with hands or moving around
4) shows the question just printed on the screen.

You could do these four variations for each of your sixteen questions and then present them randomly to people to see how they respond. Questions could be multiple choice or fill in the blanks or true false.
 
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I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks

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