Topic

Mathematics & Scientific Thinking

10 courses·EN

Practice reasoning about patterns, chance, and scientific explanations.

These lessons connect mathematical ideas with ways of examining evidence. Statistics develops a more focused route through data and uncertainty.

A route through the topic

Start with the introductory explanation below, then choose a focused lesson for the task or question you want to explore.

Courses in this topic

Scientific Thinking Fundamentals — digital-human course

Scientific Thinking Fundamentals

This training teaches learners how to formulate scientific questions, evaluate evidence, and use models to explain natural phenomena.

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16 slides·32 min

Probability Patterns and Chance — digital-human course

Probability Patterns and Chance

An introductory course on probability, designed for beginners to understand patterns and chance through practical examples.

ENPDFPPTX

15 slides·30 min

Symmetry Patterns & Transformations — digital-human course

Symmetry Patterns & Transformations

A beginner-friendly introduction to symmetry, exploring patterns and transformations like reflections, rotations, and translations.

ENPDFPPTX

13 slides·26 min

How Mathematical Proof Works — digital-human course

How Mathematical Proof Works

This training introduces the fundamentals of mathematical proof, helping learners understand how proofs are constructed and why they establish mathematical truth.

ENPDFPPTX

14 slides·28 min

Countable and Uncountable Infinity — digital-human course

Countable and Uncountable Infinity

This training explores countable and uncountable infinity, helping learners distinguish between different sizes of infinite sets and understand their mathematical significance.

ENPDFPPTX

14 slides·28 min

Square-Cube Law: Size Changes Everything — digital-human course

Square-Cube Law: Size Changes Everything

This training explores the square-cube law, helping learners understand why scaling an object's size changes its strength, weight, and behavior in unexpected ways.

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14 slides·28 min

Fermi Estimation: Reasoning to a Number — digital-human course

Fermi Estimation: Reasoning to a Number

This training teaches professionals how to make sound order-of-magnitude estimates using Fermi reasoning. Learners will build the skills to break down unfamiliar problems and arrive at defensible numbers with limited data.

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14 slides·28 min

Dimensional Analysis: Unit Conversion Mastery — digital-human course

Dimensional Analysis: Unit Conversion Mastery

This training helps learners master dimensional analysis to convert units accurately and confidently across measurement systems. Ideal for students and professionals needing reliable unit conversion skills.

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14 slides·28 min

Measurement Uncertainty & Significant Figures — digital-human course

Measurement Uncertainty & Significant Figures

This training teaches learners to evaluate measurement uncertainty and apply significant figures correctly, building practical skills for accurate data reporting in scientific and technical work.

ENPDFPPTX

14 slides·28 min

Designing a Fair Test: Variables and Controls — digital-human course

Designing a Fair Test: Variables and Controls

This training teaches learners to design fair tests by identifying variables and applying controls, building essential skills for conducting reliable experiments.

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14 slides·28 min