Data Analysis and Probability: Spinners

Spinners

Curator: Jamie Bailey




This applet allows for students to gain an introduction to probability and then use statistics to infer the probability.


Grade Level: e.g., grades 11-12
PSSM Content Standard: Probability and Statistics
CCSSM Content Standard: CCSS.Math.Content.HSS-IC.A.1 Understand statistics as a process for making inferences about population parameters based on a random sample from that population.
Math Content: Statistics



Evaluation



What is being learned? What mathematics is the focus of the activity/technology? Is relational or instrumental understanding emphasized?


This applet allows for students to learn about probability and statistics.  The technology allows for multiple spins to take place. The student is able to learn about the probability for a spin. This uses a more instrumental learning.

How does learning take place? What are the underlying assumptions (explicit or implicit) about the nature of learning?


The learning takes place with students spinning and recording the results.  There is an underlying assumption that students have a working knowledge of probability.  This then takes the learning of probability and statistics to another level and can lead the students into learning more detailed understanding of the content.

What role does technology play? What advantages or disadvantages does the technology hold for this role? What unique contribution does the technology make in facilitating learning?


The role of technology in this activity is that students are able to conduct many spins without a tremendous amount of noise.  This is a re-vamp of the coin flip probability and statistics.  The use of technology allows for students to conduct the flips (or in this case spins) multiple times in fewer amount of time.

How does it fit within existing school curriculum? (e.g., is it intended to supplement or supplant existing curriculum? Is it intended to enhance the learning of something already central to the curriculum or some new set of understandings or competencies?)

This activity fits into existing curriculum by acting as an introduction to the unit of probability and statistics.  It could also be used to enhance the material being taught.

How does the technology fit or interact with the social context of learning? (e.g., Are computers used by individuals or groups? Does the technology/activity support collaboration or individual work? What sorts of interaction does the technology facilitate or hinder?)


This activity and the technology associated with it provide an individual approach.  Students work individually to gather the data.

How are important differences among learners taken into account?

Different learning styles are taken into account because students are able to work at their own pace and the teacher’s role moves into a facilitator’s role.

What do teachers and learners need to know? What demands are placed on teachers and other "users"? What knowledge is needed? What knowledge supports does the innovation provide (e.g., skills in using particular kinds of technology)?

Learners need to have an understanding of basic probability and statistics.  The demand is placed on the teacher to facilitate the students in their collection of information.

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