Formalizando las operaciones aritméticas como sistemas matemáticos mediante la Yupana y la Chakana.
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Abstract The purpose of the study » Formalizing arithmetic operations as mathematical systems by means of the Yupana and the Chakana» is to axiomatically design addition, subtraction, multiplication and division of natural numbers as mathematical systems using the Yupana, the Chakana and their applications to the teaching-learning process in regular basic education. Both instruments are emblematic symbols of the Inca Civilization; the Tawa Pukllay Method is the starting theoretical reference for the Yupana; on the other way, the direct experience in workshops with teachers and students allows to derive the scientific fundamentals with the Chakana, confirming in theory and practice successful, valid, reliable results that configure the theoretical proposal and its original and innovative didactic strategies related to complex mental games to learn mathematics. Undefined terms, axioms, theorems, definitions, specific language, applications for each object were developed; also, valuable didactic conclusions were deduced to maximize the learning of mathematics in the first grades of schooling. Keywords: Yupana, chakana, formalization, mathematical system
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it