GACE Engineering and Technology Education (739) cheat sheet

Historical progression of technology education: manual training (1870s–1900s) → manual arts → industrial arts (1900s–1960s) → technology education (1980s onward); the 1983 Jackson's Mill Industrial Arts Curriculum Theory symposium and ITEA's Technology for All Americans Project (1994–2000) mark the shift from craft skills to technological literacy.

STL (Standards for Technological Literacy, ITEA 2000/2007) contains 20 standards organized under five categories: the nature of technology (1–3), technology and society (4–7), design (8–11), abilities for a technological world (12–14), and the designed world (15–20).

ITEEA's Engineering byDesign (EbD) is a standards-based PreK–12 curriculum model that integrates mathematics, science, and technology; it is a curriculum framework, not a licensure requirement.

Professional and accrediting bodies to distinguish: ITEEA (professional association, publisher of The Technology and Engineering Teacher), ABET (accredits postsecondary engineering/technology programs), CTETE/NAE (research and policy), and state boards of education (licensure).

The T&E education teacher preparation pathway in Georgia requires a bachelor's degree with a state-approved educator preparation program and passing of the appropriate GACE content assessment; certification is issued by the Georgia Professional Standards Commission (GaPSC), not by ITEEA.

Technology education is a general-education discipline focused on technological literacy for all students; it differs from career/technical education (occupational skill preparation) and from engineering education (professional preparation).

Technology is defined operationally as the modification of the natural environment to satisfy perceived human wants and needs; engineering is the systematic application of mathematics, science, and creative thinking to design solutions under constraints.

Safety and liability foundations: duty of care, foreseeability, and adequate supervision govern lab liability; documented safety instruction, signed student safety agreements, machine-specific tests, and PPE requirements reduce negligence exposure.

The engineering design process and the technological design process are taught as iterative rather than strictly linear; the ability standards (STL 11–13) emphasize identifying problems, applying design processes, using tools/materials, and assessing impacts.

Iterative design cycle sequence: define/identify the problem and constraints → research and gather information → generate alternative solutions → select an approach (decision matrix) → develop/prototype → test and evaluate → communicate results → redesign as needed.

Criteria are the requirements a solution must satisfy; constraints are limits on the design (budget, time, materials, safety codes, physics). A constraint is not a criterion and vice versa.

A decision matrix (weighted evaluation matrix) scores each alternative against weighted criteria; the weighted score equals the sum of (criterion score × criterion weight) across criteria, and the highest total indicates the preferred concept.

Prototypes serve distinct purposes: proof-of-concept (does the idea work?), proof-of-process (can it be manufactured?), and proof-of-production (can it be made economically at scale).

Types of models: conceptual, mathematical/analytical, and physical (scale, functional, or appearance models); mathematical models use equations or simulation rather than physical construction.

Design optimization trades off competing criteria; the Pareto principle applies when no alternative improves one criterion without worsening another - such a solution is Pareto-optimal (non-dominated).

Reverse engineering decomposes an existing product via visual analysis, functional analysis, and structural analysis to recover design intent and inform redesign.

Brainstorming rules: defer judgment, encourage wild ideas, build on others' ideas, and aim for quantity before convergence; convergent thinking (analysis, selection) follows divergent thinking (idea generation).

Design justification requires traceable evidence: documentation of constraints, test data, and rationale for rejecting alternatives; engineering notebooks and design briefs serve as the audit trail.

Universal systems model: Input → Process → Output → Feedback, with the system boundary separating the system from its environment; open systems exchange inputs/outputs with the environment, closed systems do not.

Seven core technology resource categories: people, information, materials, tools and machines, energy, capital, and time - used as the standard classification of technological resources.

The designed world (STL 15–20) comprises six contexts: medical, agricultural and related biotechnologies; energy and power; information and communication; transportation; manufacturing; and construction.

Impacts are classified as intended vs. unintended, positive vs. negative, and short-term vs. long-term; a technology's consequences may differ across economic, environmental, social, cultural, and political dimensions.

The law of unintended consequences and the precautionary principle are contrasting decision frameworks for evaluating new technology; technology assessment is the systematic evaluation of effects before adoption.

Energy systems chain: source → conversion → transmission → use; efficiency equals useful output energy divided by total input energy, expressed as a percentage, and losses typically appear as heat.

Sustainable design frameworks: reduce, reuse, recycle; life-cycle assessment (cradle-to-grave) accounts for material extraction, manufacture, use, and disposal impacts.

Technology transfer is the movement of a technology from one context (or nation, or industry) to another; diffusion of innovation describes adoption over time through innovators, early adopters, majority, and laggards.

Mechanical advantage: MA = output force / input force = effort arm / resistance arm (lever); ideal MA = distance effort moves / distance load moves; efficiency = (actual MA / ideal MA) × 100%.

Six simple machines: lever (1st, 2nd, 3rd class), wheel and axle, pulley (fixed, movable, block and tackle), inclined plane, wedge, screw; compound machines combine two or more.

Mechanical advantage of a pulley system equals the number of rope segments supporting the movable load; an inclined plane's ideal MA = length of incline / height.

Electrical fundamentals: Ohm's law V = IR; power P = VI = I²R; series circuits share current and sum resistance (R_total = R₁ + R₂ + …); parallel circuits share voltage and sum conductance.

Structural forces: tension, compression, shear, torsion, and bending; a truss is stable when composed of triangles; static equilibrium requires sum of forces and sum of moments each equal zero.

Material properties vocabulary: strength, stiffness (modulus of elasticity), ductility, brittleness, hardness, toughness, conductivity, and density; ferrous metals contain iron, nonferrous do not.

Measurement and drawing conventions: orthographic projection (top, front, right side) with third-angle projection standard in the U.S.; isometric drawings show three axes 120° apart; dimensioning follows ANSI/ASME Y14.5 conventions.

Fluid and thermal principles: Pascal's law (pressure transmitted undiminished in a confined fluid), Bernoulli's principle (pressure decreases as velocity increases), and conservation of energy in thermodynamic systems.

Digital and control technologies: open-loop control has no feedback, closed-loop control compares sensor feedback to a setpoint; binary logic, microcontrollers, and CAD/CAM/CNC are core content areas.

Backward design (Wiggins & McTighe): identify desired results → determine acceptable evidence → plan learning experiences; objectives should be written to observable, measurable verbs tied to STL/NGSS performance expectations.

Bloom's revised taxonomy order: remember, understand, apply, analyze, evaluate, create; design tasks target the analyze/evaluate/create levels rather than recall.

Assessment types: formative (ongoing, feedback-oriented, low stakes) vs. summative (end-of-unit, evaluative); diagnostic (pre-assessment) establishes prior knowledge.

Performance assessment in T&E uses design briefs, portfolios, engineering notebooks, and rubrics with analytic or holistic scoring; rubrics must state criteria and performance-level descriptors explicitly.

Validity (measures the intended construct) and reliability (consistency of results across raters/occasions) are distinct; inter-rater reliability is improved by anchor papers and shared rubrics.

STEM integration models include siloed, embedded, and integrated approaches; true integration requires connected learning objectives in two or more disciplines with shared assessment.

Project-based and problem-based learning both center student inquiry, but project-based learning culminates in a product/artifact while problem-based learning centers on resolving an open problem.

Safety instruction must precede lab access; documented machine-specific safety tests, tool demonstrations, and supervision ratios are standard practice, and OSHA/state child-labor rules limit student operation of certain powered equipment.

Differentiation in T&E labs includes tiered design challenges, flexible grouping, assistive technology, and multiple means of representation/expression (UDL) to ensure equitable access to tools and materials.