“What Varies?” 5 Pillars

Each phase of the lesson intentionally builds on the previous one, moving students from intuitive observation to formal conceptual understanding.

Concrete Preparation is clearly established at the start of the lesson through the use of familiar, highly visual stimuli such as berry photographs, differently coloured cars, and varied books. These resources help students activate prior knowledge and provide a safe entry point into abstract ideas. The initial teacher–student dialogue, “What do scientists do?”, also belongs to this phase. Here the teacher uses questions to elicit pre-existing conceptions about scientific practice and gently introduces the term “variables.” Concrete Preparation ensures all students share the vocabulary needed for later reasoning.

Cognitive Conflict emerges once students compare contrasting cases—for example, berry-heavy versus berry-light branches or black and yellow cars. Students begin by making straightforward observations, but conflict appears when they must evaluate assumptions, such as the grandmother’s winter prediction or the idea that dark cars might be more accident-prone. Later, the strongest instance of cognitive conflict comes in the container activity: students expect large containers to be heavy. When they discover that size does not predict mass, they must restructure their intuitive schema—exactly as Piaget describes. This conflict becomes productive because the teacher encourages them to articulate and test their reasoning against the evidence.

Social Construction is visible throughout the dialogues. Students contribute ideas publicly—on the board, in group work, and through collaborative discussion. The teacher draws attention to differences in students’ interpretations and uses these as focal points for conceptual development. For instance, when Rina distinguishes between “values” and “variables,” or when Leo identifies relationships in Shape Sets 1 and 2, other students build on these ideas. The class negotiates shared meanings, refining their understanding of variables, relationships, and non-relationships.

Metacognition appears when students reflect on their thinking processes—especially when Sam comments, “Using if something then something else is a good way of predicting.” Here he not only describes a relationship but reflects on the structure of scientific reasoning itself. The whole-class reflection at the end of the container activity also invites students to evaluate why their earlier assumptions failed and what counts as evidence.

Finally, Bridging occurs as students connect lesson concepts to broader scientific contexts. They practise identifying proportional, inverse, and no-relationship patterns, then relate these to graph shapes—an essential bridge toward formal scientific modelling. The teacher’s questions about why scientists need to understand non-relationships further link classroom reasoning to the real world. The final graph-drawing activity consolidates this bridging by requiring students to apply the abstract language of variables and relationships in new contexts.

Overall, the lesson provides a strong example of how the five pillars support cognitive growth, helping students move from concrete observations toward late concrete scientific reasoning and the start of generalisations and connections.