| Oscillations 2 Background Information on Simulation Created for Lesson 2: Romeo and Juliet: In Rapturous Oscillation? |
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Author(s):
Jennifer Andersen, Anne LaVigne, & in collaboration with the CLE |
Subject:
Cross-Curricular |
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The model used in this lesson is structurally similar to the spring-mass simulation (Lesson 1) and is intended to follow it. It challenges students to apply what they have learned about springs to intangible subject matter. For example, “resistance” from the spring simulation gets recast as “fatigue” to show what happens when one party in a relationship gets tired of the up-and-down dynamic. Students should recognize that their own personal relationships include themselves as part of the system; therefore, they do have the opportunity to influence an unwanted dynamic.
Complex Systems Connection: Cause within System. Five interdisciplinary areas are covered in a series of lessons, utilizing a family of models that all generate oscillation. Oscillation in real-world systems is often considered problematic rather than a consequence of system structure. This progression of lessons will help students understand that undesirable behavior can be a consequence of system structure and not a result of outside, uncontrollable influences. In other words, a system that oscillates does so because it has an inherent tendency to do so. |
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 PDF
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| Oscillations 1C Springs Everywhere: Exploring Spring-Mass Dynamics |
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Author(s):
Anne LaVigne, Jennifer Andersen, & in collaboration with the CLE |
Subject:
Cross-Curricular |
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The spring simulation allows students to experiment with a virtual spring-mass system. They can change settings, run the simulation, and compare results. The default simulation behavior is equilibrium, as the spring is initially at rest. By changing the settings, a variety of oscillatory behaviors are generated. This model is intended as an introduction for this series of oscillatory models, although it also aligns with specific math and science curricular standards.
Complex Systems Connection: Cause within System. Five interdisciplinary areas are covered in a series of lessons, utilizing a family of models that all generate oscillation. Oscillation in real-world systems is often considered problematic rather than a consequence of system structure. This progression of lessons will help students understand that undesirable behavior can be a consequence of system structure and not a result of outside, uncontrollable influences. In other words, a system that oscillates does so because it has an inherent tendency to do so. |
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PDF
Link to the simulation: http://www.clexchange.org/curriculum/complexsystems/oscillation/Oscillation_SpringC.asp
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| Oscillations 1B Exploring Springs: A Little Bounce in the World |
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Author(s):
Anne LaVigne, Jennifer Andersen, & in collaboration with the CLE |
Subject:
Cross-Curricular |
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Students explore a simple spring simulation to see how springs behave, given different characteristics. Students can change the springiness, the resistance, a mass at the end of the spring, and the amount of push or pull.
Complex Systems Connection: Cause within System. Five interdisciplinary areas are covered in a series of lessons, utilizing a family of models that all generate oscillation. Oscillation in real-world systems is often considered problematic rather than a consequence of system structure. This progression of lessons will help students understand that undesirable behavior can be a consequence of system structure and not a result of outside, uncontrollable influences. In other words, a system that oscillates does so because it has an inherent tendency to do so. |
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PDF
Link to the simulation: http://www.clexchange.org/curriculum/complexsystems/oscillation/Oscillation_SpringB.asp
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| Oscillations 1A: Fun with Springs |
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Author(s):
Anne LaVigne, Jennifer Anderson, & in collaboration with the CLE |
Subject:
Cross-Curricular |
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Students explore a simple spring simulation is see how springs behave, given different characteristics. Students can change the springiness, the resistance, and the amount of push or pull.
Complex Systems Connection: Cause within System. Five interdisciplinary areas are covered in a series of lessons, utilizing a family of models that all generate oscillation. Oscillation in real-world systems is often considered problematic rather than a consequence of system structure. This progression of lessons will help students understand that undesirable behavior can be a consequence of system structure and not a result of outside, uncontrollable influences. In other words, a system that oscillates does so because it has an inherent tendency to do so. |
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PDF
Link to the simulation: http://www.clexchange.org/curriculum/complexsystems/oscillation/Oscillation_SpringA.asp
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| Oscillations 1 Background Information on Simulation Created for Lesson 1: Springs Everywhere: Exploring Spring-Mass Dynamics |
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Author(s):
Anne LaVigne, Jennifer Andersen, & in collaboration with the CLE |
Subject:
Cross-Curricular |
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This lesson is a precursor to the Oscillation curriculum created for the Complex Systems Project. Experimenting with a virtual spring will help students gain an intuitive understanding for why a spring oscillates. This knowledge will be reinforced in other lessons in this series.
Complex Systems Connection: Cause within System. Five interdisciplinary areas are covered in a series of lessons, utilizing a family of models that all generate oscillation. Oscillation in real-world systems is often considered problematic rather than a consequence of system structure. This progression of lessons will help students understand that undesirable behavior can be a consequence of system structure and not a result of outside, uncontrollable influences. In other words, a system that oscillates does so because it has an inherent tendency to do so. |
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| Models For Use with At-Risk Students |
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Author(s):
Ron Zaraza |
Subject:
Cross-Curricular |
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From CC-STADUS. Six models, accompanied by student work packets, which cover a variety of topics that are either difficult for many students to grasp, or are not usually taught to students identified as At-Risk. The six models are: Basic Coordinate Graphing; The Bathtub: Adventures in Linear Graphs; Changing Slopes; Parabolic Graphs; Exploring Feedback: Reservoir Control; and Population Growth and Renewable Resources. Not designed exclusively for use with identified At-Risk students. |
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 Zipped (Models & PDF)
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| Modeling Physics: System Dynamics in Physics Education |
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Author(s):
Horst P. Schecker |
Subject:
Science |
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System Dynamics modeling helps to shift the focus of physics instruction towards more qualitative learning. Dynamic modeling requires students to analyze a phenomenon and develop the model, whereby they are introduced into the strategy of expert problem-solvers, i.e. to concentrate on a conceptual and semi-quantitative analysis. The modeling system supports the learner both in constructing the model and exploring its physical adequacy through simulation runs. Lead article in Spring 1996 CLExchange newsletter. |
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| Modeling Dynamic Systems Section 9 |
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Author(s):
Diana Fisher |
Subject:
System Dynamics |
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Supply chain dynamics are useful for illustrating the complex system characteristic that cause and effect are often separated by both time and space. Supply chains are often global, with decisions taken today causing impacts into the future and across national boundaries. The lessons of this section can also be used in conjunction with the Oscillations curriculum, particularly the lesson on commodity cycles, to illustate that the cause of a problem is within the system. |
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PDF
Link to the simulation: http://www.iseesystems.com
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| Modeling Dynamic Systems Section 8 |
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Author(s):
Diana Fisher |
Subject:
System Dynamics |
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Policy analysis gives students an opportunity to learn first-hand that complex systems are rich in feedback. They will experience the frustration of implementing well-meaning interventions, only to have them defeated by the feedback mechanisms of the system itself. They will learn why some policies have more leverage than others, and why those policies are often the most difficult to implement correctly in real life. |
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PDF
Link to the simulation: http://www.iseesystems.com
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| Modeling Dynamic Systems Section 7 |
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Author(s):
Diana Fisher |
Subject:
System Dynamics |
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The dynamics of epidemics can be used to impart an intuitive understanding of what it means to say a policy has "high leverage." Students can be tasked with conducting policy analysis to determine the leverage points in preventing an infectious illness from becoming an epidemic. Along the way they will learn why well-intensioned but low-leverage policies in real life often fail to have the desired effects in complex systems.
For some illness/disease, symptoms appear long after initial infection. Sometimes people travel great distance while infected because they are unaware of the infection. Medical "detectives" faced with an epidemic must understand how the infection spreads and how quickly. Delays in the system make this more difficult. |
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Link to the file: http://www.iseesystems.com
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