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 |