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The Teaching of MathematicsPublisher: Društvo matematičara Srbije, BeogradISSN: 1451-4966 (Print), 2406-1077 (Online)Issue: XXVIII_1Date: 2025Journal Homepage Editorial BoardImpressum   The Sharkovskii theorem as a tool for increasing the level of combinatorial thinking 1 - 7 Karel Pastor and Radka Dofková   AbstractKeywords: Sharkovskii theorem; combinatorial thinking; chaos theory; concept of function; graph reading; numeracy.MSC: 97F60; 97K20; F64; K24DOI: 10.57016/TM-RJEF8495 Cubic equations and geometric constructions 8 - 13 Nikolay S. Astapov and Natalya K. Noland   AbstractKeywords: Cubic equation; solution by square radicals; Newton quadrilaterals; angle trisection; regular polygon.MSC: 97H30; 97G40; H34; G44DOI: 10.57016/TM-BZEB4208 Evaluating open ai tools o1 and o3-mini in solving high school problems from Serbian national mathematics competition 14 - 29 Aleksandar Milenković, Nemanja Vučićević and Marina Svičević   AbstractKeywords: National mathematics competition; high-school mathematics problems; o1 tool; o3-mini tool; performance of AI tools.MSC: 97P80; P84DOI: 10.57016/TM-EYRQ1676 Application of different methods for solving linear difference equations with variable coefficients 30 - 41 Mehmed Nurkanović and Mirsad Trumić   AbstractKeywords: Linear difference equation; operator method; invariant method; method of generating functions; $Z$-transform method; method of factorial series.MSC: 97I30; I35; I75DOI: 10.57016/TM-UURP1450 Balanced incomplete block designs for teaching combinatorics: Construction and applications 42 - 73 Daniel Martín-Cudero   AbstractKeywords: BIBD; balanced incomplete block design; combinatorial design; teaching combinatorics; Steiner triple system; resolvable design; Kramer-Mesner; Hadamard matrix; experimental design.MSC: 97K20; K25DOI: 10.57016/TM-NOQK3870

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