# Paper sign station

## Id

N08

## Original component

B-first-Q4

## Target criterion

Rejects endpoint-only proof: the proposed path attempts C2, which is expressly closed. An endpoint match does not establish the legality of its preceding path.

## New job title

Paper sign station

## Source

Fictional paper scene: Paper sign station. There are 5 columns A to E, left to right, and 4 rows 1 to 4, top to bottom. All cells have the same size. Up/down mean towards the top/bottom of this page; left/right across this page. One move reaches one neighbouring cell, never a diagonal. Start: A4. Target: E2. The name-card is at A1; the spare-card is at E4. Closed cells: B4. Do not enter or pass through them. Proposed instruction: 4 cells right, then 2 cells up. A supplied helper says: “Reaching the target proves every preceding step is legal.” This is a supplied scene. Read its whole legend before the questions; it is not a real place, a measured route or an observed journey.

## Mathematical data

### Source

Fictional paper scene: Paper sign station. There are 5 columns A to E, left to right, and 4 rows 1 to 4, top to bottom. All cells have the same size. Up/down mean towards the top/bottom of this page; left/right across this page. One move reaches one neighbouring cell, never a diagonal. Start: A4. Target: E2. The name-card is at A1; the spare-card is at E4. Closed cells: B4. Do not enter or pass through them. Proposed instruction: 4 cells right, then 2 cells up. A supplied helper says: “Reaching the target proves every preceding step is legal.” This is a supplied scene. Read its whole legend before the questions; it is not a real place, a measured route or an observed journey.

### Columns

5

### Rows

4

### Start

A4

### Target

E2

### Moves

- right

- 4



- up

- 2



### Closed

- B4

### Visited

- A4

- B4

- C4

- D4

- E4

- E3

- E2

### Endpoint

E2

### First closed

B4

### Claim

Reaching the target proves every preceding step is legal.

### Features

#### Start

A4

#### Target

E2

#### Name card

A1

#### Spare card

E4

## Invitation

Check the endpoint-only helper claim using the closure rule and all proposed positions.

## Teacher moves

Read the exact supplied helper statement on Paper sign station. Show why a geometric endpoint does not authorise a closed preceding cell: mark the first attempted closed location and the rule. Receive a checking explanation before showing the staff possibility.

## Worked possible response

Endpoint-only proof fails: first attempted closed cell B4 violates the whole-path rule.

## Guided source

Fictional paper scene: Paper sign station—new guided scene. There are 4 columns A to D, left to right, and 4 rows 1 to 4, top to bottom. All cells have the same size. Up/down mean towards the top/bottom of this page; left/right across this page. One move reaches one neighbouring cell, never a diagonal. Start: A4. Target: D2. The name-card is at A1; the spare-card is at D4. Closed cells: B4. Do not enter or pass through them. Proposed instruction: 3 cells right, then 2 cells up. A supplied helper says: “The proposed endpoint makes the whole route legal.” This is a supplied scene. Read its whole legend before the questions; it is not a real place, a measured route or an observed journey.

## Guided data

### Source

Fictional paper scene: Paper sign station—new guided scene. There are 4 columns A to D, left to right, and 4 rows 1 to 4, top to bottom. All cells have the same size. Up/down mean towards the top/bottom of this page; left/right across this page. One move reaches one neighbouring cell, never a diagonal. Start: A4. Target: D2. The name-card is at A1; the spare-card is at D4. Closed cells: B4. Do not enter or pass through them. Proposed instruction: 3 cells right, then 2 cells up. A supplied helper says: “The proposed endpoint makes the whole route legal.” This is a supplied scene. Read its whole legend before the questions; it is not a real place, a measured route or an observed journey.

### Columns

4

### Rows

4

### Start

A4

### Target

D2

### Moves

- right

- 3



- up

- 2



### Closed

- B4

### Visited

- A4

- B4

- C4

- D4

- D3

- D2

### Endpoint

D2

### First closed

B4

### Claim

The proposed endpoint makes the whole route legal.

### Features

#### Start

A4

#### Target

D2

#### Name card

A1

#### Spare card

D4

## Guided invitation

Check the endpoint-only helper claim using the closure rule and all proposed positions.

## Guided staff possible response

Endpoint-only proof fails: first attempted closed cell B4 violates the whole-path rule.

## Receive own steps

- Read/hear the whole new source and name the actual requested job.

- Receive the learner’s own idea in their usual communication before the staff response.

- Teach the precise relationship using the separate complete model; name mathematical hints.

- Deliver the complete different guided source and invitation. Receive a fresh response before its staff possibility.

## Review criterion

Rejects endpoint-only proof with the actual closed-cell evidence.

## Observe and next

Record the exact relationship available in the response and the help, leaving absent evidence open. If it is missing, repeat that same relationship on a smaller complete source. If secure, change the scene/quantity or representation explicitly; do not infer annual mastery.

## Access

Point, speak, sign, AAC, tactile labels, large marks or exact child-directed scribing/moving. No speed, handwriting, robot, printing or public sharing criterion.

## Transfer limit

Different supplied complete new and guided contexts; no remembered original held source or real learner improvement is claimed.

## Grant

Original © NeuroForgeIO Pty Ltd 2026, SubjectNest, CC BY4.0.


