Internal and external assessment instruments, such as the Vanuatu Standard Test of Achievements (VANSTA) and the Pacific Island Literacy and Numeracy Assessment (PILNA), reveal that mathematics achievements in the Republic of Vanuatu remain below the minimum standard. This study drew on the constructivist grounded theory approach to explore teachers' perspectives of the learning and teaching processes in mathematics education in the Republic of Vanuatu. Specifically, the focus was on the ‘I do-we do-you do’ approach of teaching, which is common in mathematics education in the country. Teachers' opinions about the current situation of mathematics education and possibilities for improving it were extracted using semi-structured interviews with 22 teachers from two randomly selected urban schools. Based on the constructivist grounded theory analysis, four major interlink themes were found. Overall, the findings show that mathematics achievements in the country can be improved through proven discovery-learning strategies for stimulating students' mathematical thinking in the 21st century, such as the ‘try-understand-apply-mastered’ (TUAM) discovery learning process.