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

[newbie]

  Hello. By any chance, what are your current thoughts on “cognitive flexibility,” which you mentioned before? Do you still consider it to be central to intelligence?

2026년 4월 25일 토요일 오후 11시 4분 48초 UTC+9에 Alberto Flaño Lombardo님이 작성:

[Alberto Flaño Lombardo]

I created this thread long ago using the pseudonym Leonardo: https://groups.google.com/g/brain-training/c/bn3S4CqUQH4

[Alberto Flaño Lombardo]

I think that it is easy to see how everything I believed then made Eucalculia what it is. The next update will be massive, btw.

[Abc]

Stop talking you're sending me emails Alberto the resident of Morio

Also my discord username is braintraining and I'm the *unique* expert of brain training

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[Alberto Flaño Lombardo]

I don't understand a word of what you're saying.

[Abc]

天上天下 唯我独尊

To view this discussion visit https://groups.google.com/d/msgid/brain-training/d52fe1dd-b847-482c-912b-b18e5db2deb5n%40googlegroups.com.

[Alberto Flaño Lombardo]

The telegraphy is anonymous, if you send your files to me, I will use them to finesse the software: https://edefakiel.github.io/Eucalculia/eucalculia_v6_5_22an.html

[Alberto Flaño Lombardo]

Minor fixes: https://edefakiel.github.io/Eucalculia/eucalculia_v6_5_22az.html