This paper looks at the evolution of ideas on the role of proof in mathematics education from
1980 to 2020, examining in particular the contributions of both theoretical and empirical …

O artigo tem como objetivo realizar uma revisão sistemática da literatura de estudos
empíricos sobre usos da argumentação na Educação Matemática no Ensino Superior. Para …

Graph theory allows the student to work on problems that require imagination, intuition,
systematic exploration, conjecturing, and reasoning. It implies that mathematical …

Facing the current digital era, correct and accurate decisions are needed to deal with the
problems. This research aimed to explore the decision-making abilities of prospective …

This paper focuses on the theoretical construct of geometric prediction (GP): a cognitive
process through which a geometrical figure is manipulated, and its variations imagined …

To improve instruction, conduct communicable studies on student intuition, and provide an
entry point for researchers interested in this area, the meaning of intuition in mathematics …

Conjecturing has been considered to inspire the need for proof, enhance the understanding
of proofs, and construct a valid proof. This study describes students' processes of formulating …

The Collatz Conjecture, proposed by Lothar Collatz in 1937, stands as an unsolved problem
within the realm of number theory. This conjecture, also known as the" 3x+ 1 problem" or …

We report on an innovative design of algorithmic analysis that supports automatic online
assessment of students' exploration of geometry propositions in a dynamic geometry …

In solving divergent mathematical problem, there is a different mental activity of formal
cognitition. The activity is wel known as intuitive cognition or intuition. This study aims at …