The nature of the area of mathematical competitions as a design science is considered, historical roots of mathematical problem-solving competitions are traced, the complementary aspects of mathematics as theory building and as problem solving are touched upon in relation to the practice of competitions. Two historical figures, Euler and Erdos,…

Attention to the disconnection between culture and mathematics has been addressed then and now (Wilder (in: Graves et al., Proceedings of the international congress of mathematicians, American Mathematical Society, 1950; Liu in Taiwan Journal of Mathematics Education, 8:79-88, 2021b). Recently, studies, workshops, and contests about an approach to…

Many middle school students approach math with caution, often trepidation, and generally less-than-complete confidence. Several factors contribute to their views of what math actually is (a system of rules to follow and formulas to apply) as well as who might be good at it (people who can see the path to an answer and calculate quickly). A few say…

Problems involving the relative positions of four soccer teams and possible point allocations for the teams are analyzed. (DT)

Examples of problems based on the division of property mutually owned or mutually claimed are discussed. (DT)

Two enrichment articles are presented; one dealing with finding partial fractions and reducing to polynomials; the other, with finding the heaviest object from eleven others of equal weight where all twelve are identical in appearance. (JG)

A definition is given for curves parallel to a closed curve. Equations for inner and out elliptic parallels are derived and explained. (RS)

Brief articles on topological regular solids giving a proof of Euler's Theorem and the Regularity Theorem; calculus theorems; including a limit theorem, the Law of the Man, and the Intermediate Value Theorem, applied to catching calves, drunk cowboys, and the border of Montana Respectively; and a discussion of the inequality tan A<A<sin A…

Instruments to aid mastery of verbal and mathematical symbols for reading mathematical language are suggested. (Editor/HS)

The author presents a discussion of mathematical solution(s) to the Instant Insanity" cube game. (JG)

A mathematical enrichment procedure for finding the day of the week of a specific year is presented. (JG)

Reprinted are miscellaneous articles from The Mathematical Gazette dealing primarily with mathematical puzzles and mathematical enrichment. (CT)