Between the points and beyond: interpolation, regression and least squares
Lines, exponentials, powers and parabolas: identify the question, calculate coefficients and examine data in a visual laboratory.
ReadMathematics
Articles by topic
Clear, organized learning paths that build strong foundations in mathematics and computer science.
Algorithms
Reverse algorithms: cards, Josephus and outcomes to construct
Two problems about starting at the end: prepare a deck and construct winning seats in Josephus. With a laboratory, a birthday application and a chosen pair.
ReadNumerical approximations: algorithms for approaching a result
Bisection, Newton, Taylor and numerical integration explained with examples. Two interactive laboratories show steps and errors.
ReadFrom 2010 to 2026: the inheritance problem generalized
From Fibonacci’s puzzle to a formula for every child: proof of the general case, four checked examples, and the roles of a and d.
ReadGraph algorithms: BFS, Dijkstra and Kruskal proved step by step
Three different questions: reaching a destination in fewer steps, finding the cheapest route, and connecting every point at minimum total cost. One graph helps us distinguish the objectives.
ReadThe solution is not enough: Fibonacci’s inheritance
A numerical answer can be correct without explaining why a procedure works. Two problems from the Liber Abaci lead to a proof and a generalisation.
ReadTeaching and learning through problems: from natural language to algebra
A complete teaching pathway for understanding a problem, translating it from natural language into algebra, and choosing strategies such as invariants, divisibility, and working backwards.
ReadAlgorithms: 10 fundamental methods that solve problems
Search, sorting, graphs, dynamic programming, and compression: core idea, pseudocode, complexity, and use cases.
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