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EAPS 760:Commencement Level Learning Standards in Science, Math and Technology
(March l996 Revised Edition)
| STANDARD ONE | ANALYSIS, INQUIRY AND DESIGN |
| 1. Mathematical analysis = abstraction and symbolic representation, deductive and inductive reasoning, critical thinking skills | |
| Scientific Inquiry | |
| Content Intention | Performance Example |
| A) Explanations of natural phenomena in a continuing and creative way | create proposed explanation, formulate to hypothesis; rated on clarity, plausibility, and researchability |
| B) Testing of proposed explanations involving the use of conventional techniques and ingenuity | proposal critiqued by panel of students; rated by clarity, appropriateness and feasibility |
| C) Observations made through testing | based on critique, rewritten paper and separate lab book submitted; rated on clarity, thoroughness, soundness of conclusions and integration with existing literature. |
| Engineering Design | |
| Content Intention | Performance Example |
| An iterative process involving modeling and optimization finding the best solution within constraints | break ideas into functional elements, predict possible outcomes using mathematical and functional modeling techniques, choose the optimal solution, explain economic, ergonomic and environmental considerations of your solution. |
| STANDARD TWO | INFORMATION SYSTEMS |
| Content Intention | Performance Example |
| utilize electronic networks to share information; knowledge of impacts essential to effective and ethical use | join list serve and exchange electronic mail; discuss unauthorized access and abuse of technology |
| STANDARD THREE | MATHEMATICS |
| Content Intention | Performance Example |
| 1) Mathematical reasoning 2) Number and numeration | prove isosceles triangle; determine tautology quadratic equation; rational and irrational numbers |
| 3) Mathematical operations 4) Modeling and multiple representation 5) Measurement both English and metric | functions and transformations, algebraic tree diagrams, graphs and geometric figures statistics, trigonometry |
| 6) Uncertainty | judge reasonableness of results, theoretical probabilities, randomness, permutations |
| 7) Patterns and functions | parametric changes, linear, exponential and quadratic functions, axiomatic structure |
| STANDARD FOUR | SCIENCE |
| Content Intention | Performance Example |
| 1) Physical Setting | patterns of motion, chemical bonding, energy relationships |
| 2) Living Environment | living and nonliving things, genetics and specie changes, reproduction, dynamic equilibrium |
| STANDARD FIVE | TECHNOLOGY |
| Content Intention | Performance Example |
| 1) Engineering Design [see earlier] | work schedule with cost of materials, processes time and expertise; model solution, including craftsmanship as quality. |
| 2) Tools, Resources and Processes | describe flow, processing and monitoring of materials in manufacturing plant; tradeoffs in cost, properties, availability, ease, disposability |
| 3) Computer Technology | attach a modem, connect to on-line networks access Telnet, email, Internet and web searches use computer aided software(CADD)for design |
| 4) Technological systems [ see systems thinking ] | feedback control system; tradeoffs in complex system |
| 5) History and Evolution of Technology | qualitative and quantitative comparison of technology to similar device of system 50 years ago |
| 6) Impacts of Technology | use futuring technique to predict 2nd and 3rd order impacts |
| 7) Management of Technology | create a computer based information system to manage a manufacturing system |
| STANDARD SIX | INTERCONNECTEDNESS OF COMMON THEMES |
| Content Intention | Performance Example |
| 1) Systems thinking recognize commonalities and how parts interrelate to perform functions | describe negative feedback to control loudness in stereo and positive feed as squeals |
| 2) Models simplify and help interpret | add parameters to existing spreadsheet; use software to simulate system under stress; use sinusoidal functions for periodic behavior |
| 3) Magnitude and scale in time, size, frequency and pressures into relative order | effects of change in size on functions; power of ten notation for exponential function. |
| 4) Equilibrium and stability as lack of changes (static) or opposing changes (dynamic) and threshold of unstable | describe when disease becomes epidemic |
| 5) Patterns of Change to predict future | use sine pattern to model electromagnetic wave use historical data to describe growth as linear and exponential |
| 6) Optimization to make best solution within given constraints | user linear programming software to figure access to mass transportation system. |
| STANDARD SEVEN | INTERDISCIPLINARY PROBLEM SOLVING |
| Content Intention | Performance Example |
| Connections as math, science and technology | analyze local energy needsand develop viable skills to make informed decisions and solve energy generation plan; compare quantitative and qualitative reasons for purchasing conventional or high definition television; investigate two fossils as developmental change over time |
| Strategies to work on extended group project Skills for Problem Solving | solve a given scenario; design and construct scale models; create multimedia presentation |
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