From Sparks of Genius, abstracting is a process beginning with reality and using some tool to pare away the excess to reveal a critical, often surprising essence. Artists do it; writers do it; scientists, mathematicians, and dancers do it (p90). They reduce complex visual, emotional ideas to bear, stripped images, revealing through simplicity. Thus, obstructions may not represent whole thing but one or another of their less obvious properties. To understand obstructions, we need to see the material with our mind, not our eyes to find the hidden properties behind the obvious ones. For example, if we see our hands through an infrared camera, it can be a good example of abstracting humans’ body heat. Since the infrared wavelength is longer than visible light, it is not seen by human eyes. However, by the inferared camera, we can observe human’s body heat in a very different perspective. This image eliminates the complex visual details and any other function of body heat to reveal the essential quality of magnitude and distribution. As infrared imaging was a big discovery in the science field and has been used in many ways (flame detector, medical testing, firefighting operation, chemical image and so on), it has been proven that the simplest abstractions can yield the most important insights which can help to approach the essence of a problem in a different perspective.
An alogizing is also a very important tool in the creative thinking process. In the most general sense; analogy refers to a functional resemblance between things that are otherwise unlike (p137). Despite that correspondence happens inexactly and imperfectly to something, it provides us useful insights into the real phenomena. How does it help us? When we try to learn one context that we cannot directly and physically sense, we can try to fill the gap between the visible, sensible knowledge and the indirect knowledge by making analogizes of them. Thus, analogizing helps us make the leap from existing knowledge to new worlds of understanding. They reveal not mere resemblances but unapparent relationships between abstract functions, one of which is understood, the other not (p143). For example, to explain the convection phenomena of the earth, we can use the analogizing. It is hard for students to understand invisible big scale convection phenomena in the atmosphere, but they can observe the process the way a large wheel might turn exchanging air above and below . The round wheel does not look exactly like convection phenomena in the atmosphere, but through the resemblance of visible reaction, the unknown new knowledge has a corresponding visible image so that in can be more easily studied.
These two thinking tools have a similarity. Both of them deal with one certain property of the entire object. From the one property, the real essence of the object can be discovered in a number of different perspectives and provide us new aspects to be studied. To make students more familiar with these two thinking-tools, students can be encourage to find out the essence of the context and practice comparing this essence with other well known objects with their functions.