Eucalculia v5.2 – Advanced Number Sense Training

[Alberto Flaño Lombardo]

Eucalculia is an evidence-based cognitive training tool designed to strengthen number sense and relational thinking through three complementary mechanisms:

What It Trains

• Subitizing – Instant quantity recognition (seeing "5" without counting)
• Relational Evaluation – Comparing numerical properties (parity, magnitude, sums)
• Relational Integration – Computing and comparing derived relationships across hierarchical levels

The Science Behind It

Eucalculia operationalizes Halford's relational complexity hierarchy in the numerical domain:

• Level 0: Binary relations (e.g., "Are both numbers even?")
• Level 1: Computation on retained values (e.g., "Sum of all four quantities?")
• Level 2: Comparing computations – ternary relations (predicts fluid intelligence)
• Level 3: Comparing comparisons – quaternary relations (theoretical ceiling of human relational processing)

Key Features

• Multiple representations: Dots, dice, dominoes, tally marks, fingers, abacus, Roman numerals, clocks, and more
• Adaptive difficulty: Exposure times and category weights adjust based on your performance
• Evidence-based: Built on Relational Frame Theory, Posner paradigm, and numerical cognition research
• Structured progression: Nested trial cycles ensure integration (not just memorization) is the cognitive bottleneck

Why It Matters

The same relational integration demand trained in Levels 2-3 is what predicts fluid intelligence performance. It's training the cognitive architecture underlying abstract reasoning.

Developed by: Alberto Flaño Lombardo

https://edefakiel.github.io/Eucalculia/eucalculia_5_2.html