Monday, November 21, 2011

Six Facets of Understanding

Facet 1: Explanation
In my unit I will be frequently demonstrating, modeling and showing. One way I will be doing this by giving students physicals shapes to work with. By doing this students get a hands on visual to work with and manipulate. Another way is by using you tube videos and interactive websites. These help students comprehend the main idea, while receiving examples that further their knowledge of the topic. 
Facet 2: Interpretation
When teaching volume visuals are very important. In this unit I am incorporating pictures, shapes and media to help students not only learn the content, but to see it. Each illustration represents a different shape and help students evaluate what they are putting in to each formula. One way I incorporated this into my unit was using geometer’s sketch pad and geometry express. Through these visualizations students will see how volume is incorporated into their every day lives. 
Facet 3: Application
Volume is very easy to incorporate into the real world, because it is everywhere. Students see volume in food stores, with pools, and anything else they decide to fill. Seeing volume everywhere helps students test and solve their own problems outside the classroom and even invent or build their own containers. In my unit I have students search around their houses and surroundings to look and find particular shapes. I believe this brings the shapes to life in the students everyday life. 
Facet 4: Perspective
Volume is the perfect unit to show students perspective. Throughout my unit I have students comparing 2-D and 3-D shapes to see the differences and similarities between area and volume. By doing this students see how 2-D shapes make up the 3-D shapes. Also Geometer’s sketch pad and other website manipulatives help students interact with each shape compare it from every angle and view point. 
Facet 5: Empathy
In my unit students show empathy in multiple ways. One way is working with a partner. Working with a partner requires students to be open to doing problems in different ways and consider someone else’s answer. Another way students show empathy is when students present or do examples on the board. When this occurs students get another students perspective on a problem and relate it to their own. 
Facet 6: Self-Knowledge
Throughout my unit I have students do group work. Through this group work they compare and contrast answers, while reflecting on their own answers. I believe that when students work together it is easier to recognize and self-assess their own answers, while helping other do the same. Another way I have students do this is through daily homework. Sometimes students are not aware of their “blind spots” until they try it on their own. 

3 comments:

  1. I really enjoyed reading your responses, especially the way you explained empathy. I thought it may be difficult to integrate empathy into a math class but group work is a great way to do it because you are dealing with others strengths and weaknesses. Your ideas for applying volume to the real world are definitely great ways to apply this concept. Also, I love the idea with the 2-D and 3-D shapes, it REALLY will help to LITERALLY give them perspective on volume!

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  2. Awsome Job. I especially like your response to perspective. I have found that 3-D shapes have been a subject of great difficulty for students to envision. You use volume to give the students insight about 3-D figures and how it relates to the real world. Super!

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  3. Excellent! I love how you apply multimodal learning in your activities. With math being a challenging subject, you provide students with multiple ways to learn, understand, and apply the knowledge and skills in the real world. Fantastic work (here and to your Keystone Assignment)! :-)

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