๐๐ข๐ฏ๐จ๐ฑ๐ฉ๐ญ๐ช ๐๐ช๐ด๐ต๐ณ๐ช๐ค๐ต, ๐๐ข๐ฎ๐ถ๐ต๐ฑ๐ณ๐ข๐ฌ๐ข๐ณ๐ฏ, ๐๐ฉ๐ข๐ช๐ญ๐ข๐ฏ๐ฅ โ ๐๐ถ๐ญ๐บ 31, 2025
In the world of mathematics, proofs are often thought of as the ultimate test of logicโsymbols, equations, and structured reasoning coming together to demonstrate truth. But at the 12th ๐๐ช๐๐๐๐๐๐ฌ ๐พ๐๐๐ก๐๐ง๐ข๐ฅ๐ง๐๐ ๐๐๐ฉ ๐๐ฃ๐๐ซ๐๐ง๐จ๐๐ฉ๐ฎ (๐๐พ๐) ๐๐ฃ๐ฉ๐๐ง๐ฃ๐๐ฉ๐๐ค๐ฃ๐๐ก ๐พ๐ค๐ฃ๐๐๐ง๐๐ฃ๐๐ in Thailand, ๐๐ฟ. ๐๐ฒ๐ผ๐ป๐ผ๐ฟ๐ฎ ๐. ๐ ๐ถ๐ป๐ด๐ผ of Notre Dame of Dadiangas University (NDDU) reminded the academic community that words, too, carry equal weight in the process.
Presenting her study, โ๐๐๐ฉ๐๐๐ข๐๐ฉ๐๐๐๐ก ๐ผ๐ง๐๐ช๐ข๐๐ฃ๐ฉ๐๐ฉ๐๐ค๐ฃ ๐๐ฃ๐ ๐๐๐ง๐จ๐ช๐๐จ๐๐ค๐ฃ: ๐๐๐ ๐๐๐ฃ๐๐ช๐๐จ๐ฉ๐๐ ๐ฟ๐ฎ๐ฃ๐๐ข๐๐๐จ ๐๐ฃ ๐๐ง๐ค๐ค๐ ๐พ๐ค๐ฃ๐จ๐ฉ๐ง๐ช๐๐ฉ๐๐ค๐ฃ,โ co-authored with ๐๐ฟ. ๐ฅ๐ผ๐ด๐ฒ๐ป ๐. ๐๐ผ๐ฟ๐ผ๐ป๐ถ๐น๐ฎ, Dr. Mingo explored how graduate students donโt just prove with logicโthey persuade with language. The research examined twenty graduate-level proofs, combining corpus linguistics, axiomatic method analysis, and linguistic-content analysis to uncover how rhetoric and structure work hand in hand.
The findings revealed that while traditional proof methods such as direct proof, proof by contradiction, and biconditional proof remain staples, the subtler linguistic choices students make often shape how convincing a proof becomes. Natural language, according to the study, acts as a scaffoldโhelping frame assumptions, clarify reasoning, and guide logical flow. Features like discourse markers, conditional phrasing, and modal expressions provide the connective tissue that makes abstract reasoning accessible and persuasive.
Dr. Mingo stressed that persuasiveness in mathematics does not stop at correctness. A proof may be logically sound, but its ability to engage and convince rests in how clearly it communicates its reasoning. This perspective points to a more holistic approach to mathematics education, one that encourages reflective writing, genre-based instruction, and multimodal proof construction to strengthen both analytical sharpness and communicative clarity among graduate students.
Beyond its academic contribution, the study aligns with the global call for ๐๐ช๐จ๐ฉ๐๐๐ฃ๐๐๐ก๐ ๐ฟ๐๐ซ๐๐ก๐ค๐ฅ๐ข๐๐ฃ๐ฉ ๐๐ค๐๐ก 4 (๐๐ช๐๐ก๐๐ฉ๐ฎ ๐๐๐ช๐๐๐ฉ๐๐ค๐ฃ) by promoting pedagogical practices that integrate logic with language, ensuring that mathematics teaching equips learners not just with computational skill but with expressive and reasoning abilities vital for professional and academic success.
Her presentation was part of the NDDU delegationโs contributions to the HCU International Conference, which carried the theme โ๐๐๐จ๐๐๐ง๐๐ ๐ฉ๐ค ๐๐๐ง๐ซ๐ ๐๐ค๐๐๐๐ฉ๐ฎ.โ In highlighting how language and mathematics intersect, Dr. Mingoโs work underscored NDDUโs commitment to bridging disciplines, advancing innovative educational research, and cultivating learning that is both rigorous and humane.
