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| | =Abstract= | | =Abstract= |
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| − | This unit will last two weeks, and will explore the significance a basic concepts surrounding structural modeling. We will teach the students how the physical properties of structures in the real world can be represented inside computational systems. Bridges are a good example of structures that must be evaluated extensively before they are physically built. Additionally, there are a few programs (Engineering oriented games) that provide interfaces for both building the virtual bridges and testing their capacity under variable loads.
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| − | As a side-note, we are interested in possibly expanding the scope of this unit into a basic overview of [http://en.wikipedia.org/wiki/Rigid_body_dynamics rigid body dynamics] and touching briefly on other examples that model dynamic objects in a static enviroment.
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| | ==The Scaffold Approach== | | ==The Scaffold Approach== |
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| | ''Develops students' understanding of the natural world.'' | | ''Develops students' understanding of the natural world.'' |
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| − | *Modeling physical structures is important because the natural world is comprised of physical structures. | + | * |
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| | ''Strengthens students' knowledge of the scientific way of knowing — the use of systematic observation and experimentation to develop theories and test hypotheses.'' | | ''Strengthens students' knowledge of the scientific way of knowing — the use of systematic observation and experimentation to develop theories and test hypotheses.'' |
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| − | *The students will determine the most appropriate method to build a simulated bridge through both lecture content and trial and error. They will test their models by building physical models of their virtual structures | + | * |
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| | ''Emphasizes and provides first-hand experience with both theoretical analysis and the collection of empirical data.'' | | ''Emphasizes and provides first-hand experience with both theoretical analysis and the collection of empirical data.'' |
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| − | *The students collect the empirical data by synthesizing lecture content and trial and error. They (potentially in groups) will each devise different models to solve the same problem. | + | * |
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| | =Background reading= | | =Background reading= |
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| − | http://pghbridges.com/basics.htm
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| − | *This is a page containing a number of basic types of bridges, and some information about their origin, and/or how they function.
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| − | http://www.in.gov/indot/files/bridge_chapter_01.pdf
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| − | *"Bridge building for dummies." Provides an explanation of the duties of Bridge Technicians and defines a number of terms associated with bridge constructions, as well as explaining some of the more common failure points and why they're failure points.
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| − | http://en.wikipedia.org/wiki/Rigid_body_dynamics
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| − | *An overview of applications/techniques associated with developing models of physical objects as they interact with both the static environment and each other.
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| − | http://www.lessonplanspage.com/ScienceSSOKNEXBridges-Architecture510.htm
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| − | *The lesson plan that involves K'nex, if we want to go ahead with that.
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| − | http://www.apeg.bc.ca/services/branches/documents/pr/Bridge_Engineering_Principles.pdf
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| − | *Goes over some of the basic principles of bridge-building.
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| − | http://www.yale.edu/ynhti/curriculum/units/2001/5/01.05.04.x.html
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| − | *Lesson plan for younger students. Could be useful for building a lecture for an audience with little to no background.
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| | =Lecture notes= | | =Lecture notes= |
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| | '''Lecture 1:''' | | '''Lecture 1:''' |
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| − | *Review key concepts from the units on static and dynamic models, remind people of the difference, and how the two types of models work in conjunction.
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| − | *Explain the various types of bridges introduced in [http://pghbridges.com/basics.htm Bridge Basics]
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| − | *Explain why how modeling structures such as bridges is different than earlier examples of fire, etc, and how certain key aspects of the procedure and underlying theory are the same
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| − | *Prepare the class to do the lab. If they're going to use bridge builder, this section could be a demonstration of the software and features.
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| | '''Lecture 2:''' | | '''Lecture 2:''' |
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| − | *Begin to explain the more complex aspects and issues surrounding rigid body dynamics.
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| − | *RBD involves solid objects and their interaction with other objects in a simulated world.
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| | '''Lecture 3:''' | | '''Lecture 3:''' |
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| − | *Review Lab 1
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| − | *Since we are aiming to fill two weeks with this unit, this lecture could go two ways here.
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| − | ** On one hand, we could continue working with the bridge framework, potentially expanding our model into 3 dimensions
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| − | ** Alternativily, we could move away from bridges entirely and focus on a more complex example, like a high-level tour of a typical physics engine. The technical content might be tough to navigate, and might raise questions that are difficult to answer without causing further confusion.
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| − | *Prepare students to complete lab 2.
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| | '''Lecture 4:''' | | '''Lecture 4:''' |
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| − | *Finish the sub-unit on physics engines, and relate it back to the bridge builder program and the notion of rigid body dynamics.
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| − | *Relate the Bridge/structural modeling unit to the previous units, try to reassure everyone and allieviate any confusions or further questions that students might have.
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| | ==Classroom response questions== | | ==Classroom response questions== |
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| − | *After an explanation of some of the concepts in the earlier lectures, have an image comparison of 2 bridges made in Bridgebuilder, ask students which of the two would be stronger. | + | *Question 1 |
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| | *Question 2 | | *Question 2 |
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| | =Lab activity= | | =Lab activity= |
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| − | The Lab activity will consist of two sessions.
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| − | *The first session will involve constructing simulated bridges and testing those bridges using one of the fine programs listed below.
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| − | *The second session will involve physically modeling (replicating the simulated designs created the week before. This might work best as a group project.
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| | '''Simulations''' | | '''Simulations''' |
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| − | [http://www.bridgebuilder-game.com/ Bridge Builder]
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| − | *[[Image:Bridge_builder.jpg|thumb|right | Bridge Builder]]Simple, effective, fun bridge building/simulation game. Illustrates structural stress with colors. Might be too simplistic, because it only simulates in 2 Dimensions. Additionally, the software appears to be non-free, and although there is a free 'demo' download for mac/windows. The demo appears fully functional, however the Bridge Builder website advertises a 3-D version with a paid licence.
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| − | The program is organized into 'Levels' ranging in difficulty from 'Level 1' and 'Level 15.' This could translate to a convient lab format, where we can assign a certain number of levels. There are some good videos on youTube that demonstrate the increased challenge of each subsequent level.
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| − | [http://www.youtube.com/watch?v=r4qXl2736YU youTube:Level 6 - 14 in Bridge Builder]
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| − | [http://downloads.phpnuke.org/en/download-item-view-g-v-l-y-b/BRIDGE%2BCONSTRUCTION%2BSET.htm Bridge Construction Set]
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| − | *[[Image:Bridge construction set.jpg|thumb|right | Bridge Construction Set]]Another bridge-building computer game. This game offers 3-D construction. It also costs $19.99. But, a demo is [http://demos.garagegames.com/bcs/bcsdemo_v1_3.dmg available for mac]
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| − | *This program is really neat, the animations are fairly detailed, and there are keyboard controls to move the camera around the simulated world. The game uses 'Levels' of increasing complexity, and even the demo has 5 levels. Completing all five demo levels could be enough for a single lab. Additionally, if the class is building virtual bridges in three dimensions, the lab could involve first building the bridge designs in [http://downloads.phpnuke.org/en/download-item-view-g-v-l-y-b/BRIDGE%2BCONSTRUCTION%2BSET.htm Bridge Construction Set] and then next week building a subset of those bridges using K'nex.
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| − | [http://en.wikipedia.org/wiki/Open_Dynamics_Engine Open Dynamics Engine]
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| − | *An open source physics engine used in many applications. This came from a search on physics engines, which seem to be heavily related to modeling bridges and other structures. There might be some pedagogically useful aspects of this software, however delving to deep into the intracacies of linear algebra and vector multiplication might seriously confuse and frustrate many of the non-math people. Note that it may be possible to implement some pre-built objects / functions to make the software more accessible to newbies.
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| | '''Physical Models''' | | '''Physical Models''' |
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| − | Constructing physical bridge models with [http://www.knex.com/Multi-Model-Sets/400pc-value-tub.php K'nex]
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| − | *The tactile, hand-on aspect of building real models would be a good way to make the labs fun, while also teaching the students to associate the 3-Dimensional (or 2 Dimensional, in the case of 'Bridge Builder') image of the bridge inside the computer to the physical, very real concept of a model. Building some of the models build inside the program would informally demonstrate the concept of verification of the computational model built in the previous week's lab period. K'nex are an effective physical analogue to the computer simulation methods described above. The strength of these K'nex constructions could be tested simply by hanging weights off of them at various points.
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