# Board-game message

## Id

N04

## Original component

A-first-Q4

## Target criterion

Rejects the four-position claim: four one-cell moves create five recorded positions including the start.

## New job title

Board-game message

## Source

Fictional paper scene: Board-game message. There are 5 columns A to E, left to right, and 5 rows 1 to 5, 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: A5. Target: E2. The name-card is at A1; the spare-card is at E5. All cells inside the grid are open. Proposed instruction: 4 cells right, then 3 cells up. A supplied helper says: “The proposed instruction records seven positions including the start.” 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: Board-game message. There are 5 columns A to E, left to right, and 5 rows 1 to 5, 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: A5. Target: E2. The name-card is at A1; the spare-card is at E5. All cells inside the grid are open. Proposed instruction: 4 cells right, then 3 cells up. A supplied helper says: “The proposed instruction records seven positions including the start.” 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

5

### Start

A5

### Target

E2

### Moves

- right

- 4



- up

- 3



### Closed



### Visited

- A5

- B5

- C5

- D5

- E5

- E4

- E3

- E2

### Endpoint

E2

### First closed

Not supplied.

### Claim

The proposed instruction records seven positions including the start.

### Features

#### Start

A5

#### Target

E2

#### Name card

A1

#### Spare card

E5

## Invitation

Count the one-cell moves and all recorded positions including the start. Does the supplied helper count claim fit this full trace?

## Teacher moves

Read the complete Board-game message and the supplied count claim. Record A5 before making any move. Replay every one-cell move, writing each newly reached position in order; keep a separate count of moves. The start is a position but not a move. There are seven moves and eight recorded positions. Compare that complete record with the helper claim only after receiving the learner’s own count and reason. Use large labelled cells, tactile labels or an exact directed helper; name any supplied counting choice as help.

## Worked possible response

There are 7 one-cell moves and 8 recorded positions including the start: A5, B5, C5, D5, E5, E4, E3, E2. Record A5 before the first move; each move adds one newly recorded position. The helper count is one position short because it leaves out that starting position. The endpoint alone cannot answer a position-count question.

## Guided source

Fictional paper scene: Board-game message—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. All cells inside the grid are open. Proposed instruction: 3 cells right, then 2 cells up. A supplied helper says: “The proposed instruction records five positions including the start.” 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: Board-game message—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. All cells inside the grid are open. Proposed instruction: 3 cells right, then 2 cells up. A supplied helper says: “The proposed instruction records five positions including the start.” 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



### Visited

- A4

- B4

- C4

- D4

- D3

- D2

### Endpoint

D2

### First closed

Not supplied.

### Claim

The proposed instruction records five positions including the start.

### Features

#### Start

A4

#### Target

D2

#### Name card

A1

#### Spare card

D4

## Guided invitation

Count the one-cell moves and all recorded positions including the start. Does the supplied helper count claim fit this full trace?

## Guided staff possible response

There are 5 one-cell moves and 6 recorded positions including the start: A4, B4, C4, D4, D3, D2. Record A4 before the first move; each move adds one newly recorded position. The helper count is one position short because it leaves out that starting position. The endpoint alone cannot answer a position-count question.

## 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 the actual supplied position-count claim using a complete ordered trace and explains that the number of recorded positions is one more than the number of one-cell moves because the start is included.

## 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.


