\input zb-basic \input zb-matheduc \iteman{ZMATH 2011b.00015} \itemau{K\'antor, T\"unde} \itemti{J. K\"ursch\'ak a world-famous scholar teacher (1864-1933).} \itemso{Ambrus, Andr\'as (ed.) et al., Problem solving in mathematics education. Proceedings of the 11th ProMath conference, Budapest, Hungary, September 3--5, 2009. Budapest: Univ. Budapest, Mathematics Teaching and Education Center. 76-86 (2010).} \itemab Summary: In this paper we shall commemorate J. K\"ursch\'ak on the occasion of the 145-th anniversary of his birth. We will present his life and work, his world-famous mathematical results as the theory of valuations, geometric constructions with ``Aichmass", his miniatures as the area of a regular dodecagon inscribed in a circle, the problem posed on the 1977 International Mathematical Olympiad (Beograd), K\"rsch\'ak's tiling, combinations with repetition, the knight's tour on the infinite chess-board. At last we will mention his talent developing work. We discuss why the most prestigious Hungarian mathematical contest is named after him and the book Problems of Mathematics Contest (1929) collected and annotated by him. \itemrv{~} \itemcc{A30} \itemut{mathematicians; mathematics educators; J. K\"ursch\'ak; K\"ursch\'ak theorem; K\"ursch\'ak tiling; problem solving; K\"ursch\'ak contests; Hungarian problem book} \itemli{} \end