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GMU QUESTION-DRIVEN · SOCRATIC · DR127

Tie Slash Indexing Check — Question-Driven Socratic Drill (DR127)

DR127 pairs Tie Slash Indexing Check (Big Road active cell receiving green Tie slash vs Bead Plate cell) with Question-Driven Modality (Socratic Inquiry): learners verify Column index k and depth d_k remain unchanged on a resolved Tie hand, master Tie Non-Advancement Rule on Big Road and Derived Roads, and eliminate adding a new big road circle or derived road mark when a tie occurs.

Drill Reference ID
DR127
Big Road Streaks
13 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 24 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B B B P P B P P P B B P P B P P B
Big Eye Boy = = = ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠
Small Road = ≠ = ≠ = = ≠ = ≠ ≠ = ≠ = ≠ ≠ = = =
Cockroach Pig = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠

DR127 drill board (BBPPBBBBPPBPPPBPTBPPBPPB): 13 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 14 Cockroach Pig marks.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy · Mark #5

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road · Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig · Mark #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DR127 Target Coordinate
Tie Slash Indexing Check

Big Road active cell receiving green Tie slash vs Bead Plate cell

DR127 Rule Classification
Question-Driven Socratic Drill

Tie Non-Advancement Rule on Big Road and Derived Roads

DR127 Depth Comparison
13 Big Road Cols

Column index k and depth d_k remain unchanged on a resolved Tie hand

DR127 Misconception Focus
Diagnostic Check

Adding a new Big Road circle or derived road mark when a Tie occurs

DR127 GMU Modality Goal
Question-Driven Modality (Socratic Inquiry)

Confirm that Ties advance the Bead Plate while leaving derived roads paused by answering three sequential checkpoints: row position, lookback m, and parity

DR127 · Coordinate & Rule Specification

DR127 Tie Slash Indexing Check: Question-Driven Socratic Drill Walkthrough

Throughout BBPPBBBBPPBPPPBPTB (13 columns, 20 Big Eye Boy marks), lesson DR127 uses Question-Driven Socratic Drill to reinforce Tie Slash Indexing Check and Column index k and depth d_k remain unchanged on a resolved Tie hand.

In DR127 (Question-Driven Modality (Socratic Inquiry)), mark verification begins: This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=). Counting 18 Small Road and 14 Cockroach Pig entries prevents adding a new big road circle or derived road mark when a tie occurs.

Table DR127: Tie Slash Indexing Check specification under Question-Driven Socratic Drill.
DR127 Drill DimensionCoordinate / RuleGMU Modality Action
DR127 Matrix CoordinateBig Road active cell receiving green Tie slash vs Bead Plate cellQuestion-Driven Modality (Socratic Inquiry)
DR127 Rule & DepthTie Non-Advancement Rule on Big Road and Derived RoadsColumn index k and depth d_k remain unchanged on a resolved Tie hand
DR127 Diagnostic TargetAdding a new Big Road circle or derived road mark when a Tie occursConfirm that Ties advance the Bead Plate while leaving derived roads paused
  • DR127 Step 1: Locate Big Road active cell receiving green Tie slash vs Bead Plate cell across the 13 columns of BBPPBBBBPPBP.
  • DR127 Step 2: Verify Column index k and depth d_k remain unchanged on a resolved Tie hand under Tie Non-Advancement Rule on Big Road and Derived Roads.
  • DR127 Step 3: Answer "Is the active hand starting a new column (Rule 1) or continuing down (Rule 2)?" via answering three sequential checkpoints: row position, lookback m, and parity.
DR127 · Question-Driven Modality (Socratic Inquiry)

DR127 Misconception Diagnostic & Secondary Road Audit

Cross-checking mark #2 in DR127, This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=). With Question-Driven Modality (Socratic Inquiry), Tie Slash Indexing Check connects Big Road active cell receiving green Tie slash vs Bead Plate cell to all 13 Big Road columns.

Table Reality Check

Myth vs. Truth

MythIn DR127 (Tie Slash Indexing Check), adding a new big road circle or derived road mark when a tie occurs or reading red/blue derived marks as Banker/Player outcomes.
TruthTie Non-Advancement Rule on Big Road and Derived Roads evaluates Column index k and depth d_k remain unchanged on a resolved Tie hand; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android