EAPS 760:Commencement Level Learning Standards in Science, Math and Technology
(March l996 Revised Edition)

Professor David Wiles

1. Mathematical analysis = abstraction and symbolic representation, deductive and inductive reasoning, critical thinking skills
Scientific Inquiry
Content IntentionPerformance Example
A) Explanations of natural phenomena in a continuing and creative waycreate proposed explanation, formulate to hypothesis; rated on clarity, plausibility, and researchability
B) Testing of proposed explanations involving the use of conventional techniques and ingenuityproposal critiqued by panel of students; rated by clarity, appropriateness and feasibility
C) Observations made through testingbased on critique, rewritten paper and separate lab book submitted; rated on clarity, thoroughness, soundness of conclusions and integration with existing literature.
Engineering Design
Content IntentionPerformance Example
An iterative process involving modeling and optimization finding the best solution within constraintsbreak 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.
Content IntentionPerformance Example
utilize electronic networks to share information; knowledge of impacts essential to effective and ethical usejoin list serve and exchange electronic mail; discuss unauthorized access and abuse of technology
Content IntentionPerformance 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) Uncertaintyjudge reasonableness of results, theoretical probabilities, randomness, permutations
7) Patterns and functionsparametric changes, linear, exponential and quadratic functions, axiomatic structure
Content IntentionPerformance Example
1) Physical Settingpatterns of motion, chemical bonding, energy relationships
2) Living Environmentliving and nonliving things, genetics and specie changes, reproduction, dynamic equilibrium
Content IntentionPerformance 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 Processesdescribe flow, processing and monitoring of materials in manufacturing plant; tradeoffs in cost, properties, availability, ease, disposability
3) Computer Technologyattach 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 Technologyqualitative and quantitative comparison of technology to similar device of system 50 years ago
6) Impacts of Technologyuse futuring technique to predict 2nd and 3rd order impacts
7) Management of Technologycreate a computer based information system to manage a manufacturing system
Content IntentionPerformance Example
1) Systems thinking recognize commonalities and how parts interrelate to perform functionsdescribe negative feedback to control loudness in stereo and positive feed as squeals
2) Models simplify and help interpretadd 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 ordereffects 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 unstabledescribe when disease becomes epidemic
5) Patterns of Change to predict futureuse sine pattern to model electromagnetic wave use historical data to describe growth as linear and exponential
6) Optimization to make best solution within given constraintsuser linear programming software to figure access to mass transportation system.
Content IntentionPerformance Example
Connections as math, science and technologyanalyze 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