As a teacher in the K-12 classroom setting, I would love to teach geometry. Geometry is subject that is offered or taught to 10th grade students. A topic I would love to explore with my students would be the Pythagorean Theorem (Right Triangles). Right triangle has many applications relative to the real world. For example, right triangle can be used to find the shortest distance to work, school, home, or etc. Sure you can use a numerical approach to figure the exact numbers, but to see it geometically would be very benificial. With that being said, I have listed below my thoughts for the tranfers of knowlege.
1. Positive tranfer of learning: Construct a lesson about right triangles and what the relationships are between the three sides. Students will be able to identify a right triangle without any reference. Included in that lesson about the relationship between the sides of a right triangle will be the Pythagorean Theorem.
2. Near tranfer of learning: Construct a lesson about applying right triangles to real world situations.
3. Far transfer of learning: Construct a lesson about Trigonometry. The students will understand trigonometry, but they may not notice how essential right triangles is to trigonometry.
4. Preventing negative transfer of learning: While teaching right triangles, I would include phyics. Which would allow the students to explore right triangles in a different setting .
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