Student cognitive levels Dialogue 1.3 and 1.4
|
Student |
Cognitive level |
Evidence from dialogue |
|
Maya |
2A -Early concrete |
Gives simple category labels rather than variable reasoning: “Triangles and squares.” Needs prompting to identify variables rather than just naming visible items. |
|
Leo |
2B -Late concrete
|
Identifies variables and values in a structured way: “Two variables… shape and size.” / “Size has 3 values… red and blue.” He also detects pattern changes: “Colour goes with size now.” |
|
Rina
|
3A -Early formal
|
Distinguishes variable vs. value abstractly: “The variable is the type of shape and these are two types… we could have hexagons…” Shows generalisation and flexible thinking beyond given examples. |
|
Samantha |
3B -Late formal
|
Integrates relationships across sets: “As Leo said… we have two different relationships.” Demonstrates abstract comparison of relationships across contexts. |