8 problems

Consider students learning probability theory, including the distinction between discrete and continuous probability distributions. The authors' conjecture. Making a distinction be…

Consider students learning the main concepts of elementary probability theory. The authors' conjecture. Students' understanding will be significantly improved when those concepts a…

The authors consider students learning introductory probability theory and attempting to connect theoretical concepts with practical situations. The authors' conjecture. The main p…

The idea of a counterexample is the mathematical use of a particular case to show that a general statement is false. Conjecture on understanding counterexamples. It is important to…

Modular-recursive structure conjecture. An efficient way to remember many proofs appears to be to identify the overall modular recursive structure of the proof and how to make use…

Let $a_n$ denote the sequence of coefficients of $r$ in the successive noninitial expressions generated by iterating $x\mapsto x^2-2-r$ from $x=-2-r$; thus the first terms are…

The courses considered are mathematics courses offered in English as a medium of instruction in a Confucian heritage culture (CHC-EMI) environment. Interactive engagement is a peda…

The mathematical-exposure attitude conjecture. Students enrolled in schools and majors that use a lot of mathematics will have a better attitude toward mathematics than students wi…