01
English · reasoning and invariants
Mathematical reasoning
Six problems designed to reward modelling, useful bounds, parity, and a clearly justified argument.
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Original learning materials · selected archive
A library built for thinking, not repetitive practice.
These English editions were adapted from materials I created across several teaching programs. They show how I structure mathematical investigation, sequence difficulty, and connect abstract ideas to concrete problems.
Reasoning
Number patterns
Combinatorics
Probability
Applied numeracy
English editions
Selected series
Five complete English learner worksheets
Every public resource in this library is fully in English and ready to review as a standalone learner worksheet.
02
English · pattern discovery
Pascal's triangle investigation
A progression from building the triangle to row sums, alternating sums, symmetry, the hockey-stick identity, and Fibonacci numbers.
03
English · structured counting
Combinatorics
Eleven problems moving from codes and selections to non-adjacent choices and combinations with repetition.
04
English · probability and modelling
Probability through counting
Equally likely outcomes, sampling without replacement, and a real-world diagnostic-test problem solved through frequencies.
05
English · applied numeracy
Consumer math investigation
An applied sequence on unit price, package size, shrinkflation, quantity discounts, basket optimization, and threshold coupons.