Indiana Markov simulation projects ARC reaches 74% of public K–12 schools and produces 992 robotics programs after 40 years at moderate optimism, versus 161 under natural growth¶

Claim · All claims
Evidence · 1 study (2 entries) · design r2 · q1
Currency · newest study 2026 · not yet checked against its sources · not reviewed by a person · recheck by 2029: local conditions change quickly

Subclaims¶

q1 i? At optimism level 6 the spatial model produces 992 programs and reaches 1,415 schools, compared with a mean of 161 programs under ARC off. → Jacobson 2026 q1 i? Higher optimism levels show accelerating superlinear growth as secondary hubs multiply, before slowing as the finite school population saturates. → Jacobson 2026 (2)

Evidence¶

Jacobson 2026¶

Jacobson, M. J.; Rodriguez-Rivera, G.; Drineas, P.; and Xue, Y. (2026). Teaching AI, Robotics, & Community: A Hubs-Based K–12 Education Framework for Reaching Rural Schools. https://arxiv.org/abs/2609.18072 doi:10.48550/arxiv.2609.18072

q1 · i? · design · r2

Numerical Monte Carlo simulation (1,000 runs per level, 40 years) of the spatially-explicit Markov model instantiated for Indiana's 1,925 public K–12 schools and 32 potential college hubs, reported in the Spatially-Explicit Markov Model of Growth section. This is a simulation result, not an empirical measurement.

"After 40 years,ARC offpro- duces a mean of 161 programs, while even optimism level 1 ofFull ARCproduces 338, more than twice as many. Atlevel6,themodelproduces992programsandreaches1,415 schools."

Jacobson 2026 (2)¶

Jacobson, M. J.; Rodriguez-Rivera, G.; Drineas, P.; and Xue, Y. (2026). Teaching AI, Robotics, & Community: A Hubs-Based K–12 Education Framework for Reaching Rural Schools. https://arxiv.org/abs/2609.18072. doi:10.48550/arxiv.2609.18072

q1 · i? · design · r2

Simulation trajectory analysis shown in Figure 4 over 12 optimism levels; the article describes pronounced superlinear growth in more favorable scenarios before saturation. A numerical pattern, not an analytic derivation.

"Lower optimism levels in- creaseprogramgrowthwithoutastrongtakeoff,whilehigher levelsshowacceleratinggrowthassecondaryhubsmultiply."

Discussion¶

Related Claims¶

• Simulation ablations show ARC's projected growth requires both primary and secondary hub mechanisms together — related
• Sensitivity analyses identify Supported secondary-hub formation as the strongest long-term driver of simulated ARC growth — related