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GMU QUESTION-DRIVEN · SOCRATIC · DR247

Double-Jump 2x2 Symmetry — Question-Driven Socratic Drill (DR247)

DR247 pairs Double-Jump 2x2 Symmetry (BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4) with Question-Driven Modality (Socratic Inquiry): learners verify Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2), master Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell, and eliminate thinking row 2 of a 2x2 pattern turns blue before the column switches.

Drill Reference ID
DR247
Big Road Streaks
12 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 P B B P P B P
Big Eye Boy = = = ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠
Small Road = ≠ = ≠ = = ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ =
Cockroach Pig = = ≠ = = ≠ ≠ = = ≠ ≠ ≠ = =

DR247 drill board (BBPPBBBBPPBPPPBPBBPPBPPT): 12 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

DR247 Target Coordinate
Double-Jump 2x2 Symmetry

BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4

DR247 Rule Classification
Question-Driven Socratic Drill

Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell

DR247 Depth Comparison
12 Big Road Cols

Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2)

DR247 Misconception Focus
Diagnostic Check

Thinking Row 2 of a 2x2 pattern turns blue before the column switches

DR247 GMU Modality Goal
Question-Driven Modality (Socratic Inquiry)

Trace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe by answering three sequential checkpoints: row position, lookback m, and parity

DR247 · Coordinate & Rule Specification

DR247 Double-Jump 2x2 Symmetry: Question-Driven Socratic Drill Walkthrough

Study drill DR247 (Question-Driven Socratic Drill) structures Double-Jump 2x2 Symmetry around Is the active hand starting a new column (Rule 1) or continuing down (Rule 2)? while tracing 20 Big Eye Boy marks across BBPPBBBBPPBPPPBPBB.

In drill DR247 (Double-Jump 2x2 Symmetry), This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=). Observing 18 Small Road dots and 14 Cockroach Pig slashes under Question-Driven Modality (Socratic Inquiry) completes trace both row 1 (rule 1) and row 2 (rule 2 case 2a) in a 2x2 shoe.

Table DR247: Double-Jump 2x2 Symmetry specification under Question-Driven Socratic Drill.
DR247 Drill DimensionCoordinate / RuleGMU Modality Action
DR247 Matrix CoordinateBB-PP-BB-PP columns of depth 2 across Big Road cols 1-4Question-Driven Modality (Socratic Inquiry)
DR247 Rule & DepthRule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled CellRow 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2)
DR247 Diagnostic TargetThinking Row 2 of a 2x2 pattern turns blue before the column switchesTrace both Row 1 (Rule 1) and Row 2 (Rule 2 Case 2a) in a 2x2 shoe
  • DR247 Step 1: Locate BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 across the 12 columns of BBPPBBBBPPBP.
  • DR247 Step 2: Verify Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2) under Rule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell.
  • DR247 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.
DR247 · Question-Driven Modality (Socratic Inquiry)

DR247 Misconception Diagnostic & Secondary Road Audit

Secondary road verification for DR247 (Question-Driven Socratic Drill) adds: This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=). This proves how BB-PP-BB-PP columns of depth 2 across Big Road cols 1-4 and Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2) work across 12 streaks.

Table Reality Check

Myth vs. Truth

MythIn DR247 (Double-Jump 2x2 Symmetry), thinking row 2 of a 2x2 pattern turns blue before the column switches or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 Depth-2 Equality Paired with Rule 2 Case 2a Filled Cell evaluates Row 1 marks red via d_{k-1}=2; Row 2 marks red via occupied (k-m,2); derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
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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