Thinking Skills
Methods for reading clues carefully, testing a conclusion and choosing a sound way to search or check.
Example: A school finds that pupils who attend its optional puzzle club score higher in maths. It concludes that the club improves maths results. What other explanation should it consider?
See the reasoning
Pupils who already enjoy or do well in maths may be more likely to join. Comparing their earlier results and progress with non-members would help test the claim. Higher scores alone do not establish cause and effect.
- See the problem
- Reasons and conclusions
- Conditional reasoning
- Assumptions and counterexamples
- Ordered search
- Quantity and models
- Space and structure
- Independent transfer
Explore Thinking Skills guidanceMaths
Mathematical reasoning through models, quantities, measurement, data and a deliberate check of the result.
Example: Badges come in packs of 4 or 7. A school needs exactly 47 badges. What is the smallest number of packs it can buy?
See the reasoning
8 packs: five packs of 7 and three packs of 4 make 47. Six or fewer packs hold at most 42 badges. Seven packs of 7 hold 49; each swap to a pack of 4 removes 3, so seven packs cannot make 47. Therefore, 8 is the minimum.
- Build a mathematical model
- Understand numbers
- Compare quantities
- Find unknown values
- Reason about shapes
- Measure and plan
- Read and interpret data
- Explore possibilities
Reading
Read for meaning, evidence, connections and a writer's choices before deciding which response is supported.
Example: When another pupil was named the winner, Eli clapped until his palms stung. Only after the winner turned away did he fold his own speech into a tiny square. How do Eli's actions suggest mixed feelings?
See the reasoning
His applause shows outward support, while folding his unused speech out of the winner's sight suggests private disappointment and an earlier hope of winning. The contrast supports this inference without proving that he resents the winner.
- Find meaning in a text
- Understand words and references
- Read characters and voices
- Connect ideas
- Notice the writer's choices
- Read poetry and themes
- Read across texts
- Choose and check evidence