AI Constitution

Resources · Learning tool

Education Concept Tracker

A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

Sign in to track your progress and get personalized recommendations. You can browse freely below.

Knowledge-graph map

Learning to Learn
Mastered Ready to learn LockedHover a node for its description · click to open
Asking for HelpAsking for Help — frontier Ask for help when you've had a go yourself and are still stuck — knowing when to ask is a skill in itselfChecking Your Own WorkChecking Your Own Work — frontier After finishing a task, look back at what you did and ask yourself: does this seem right?Persisting When It's Ha…Persisting When It's Hard — frontier Keep trying when something feels hard — making mistakes and trying again is how learning happensFeeling of not understa…Feeling of not understanding — locked Notice the feeling of not understanding — recognise when something is confusing rather than reading or listening past itPlanning a TaskPlanning a Task — locked Make a simple plan before starting a task: what do I need to do, and what should I do first?Thinking Before StartingThinking Before Starting — locked Before starting something new, stop and think: what do I already know about this topic?Spotting PatternsSpotting Patterns — frontier Spot patterns and recurring structures — in numbers, words, nature, sounds, or events — and use them to make sense of new informationDescribing Rules & Patt…Describing Rules & Patterns — locked When you notice a pattern repeating, describe it as a rule that works every time — then test whether the rule holds in new casesLearning from MistakesLearning from Mistakes — locked When you get something wrong, investigate why — what did you misunderstand or overlook? Analysing errors is one of the most powerful ways to learnTransferring SkillsTransferring Skills — locked Recognise when a skill or strategy learned in one subject or situation can be applied in a completely different one
← Back

Justifying mathematical reasoning

Mathematics · Mathematical Thinking · meta

Construct and follow multi-step mathematical arguments; identify errors in reasoning and explain why a method works or does not work

Sign in to track this

What mastery looks like

  • Explain step by step why a columnar addition method gives the correct answer
  • Find and explain an error in a worked example (e.g. incorrect regrouping)
  • Construct a simple argument for why a general statement is true (e.g. 'adding two even numbers always gives an even number')

Check your understanding

If Justifying mathematical reasoning hears another child's explanation for how they solved a maths problem, can Justifying mathematical reasoning say whether the reasoning makes sense — and if not, point out exactly where the logic goes wrong?

Prerequisites

Required first

Helpful

Unlocks (1 directly)