Mathematical thinking and understanding in learning of mathematics

The concept “mathematical thinking” can be found in several studies of mathematics education, national curricula or media during the decades all over world. We searched words from database international scientific articles, and we 456 707 mentions at first time. These are main reasons why have chosen as central Special Issue. other interesting question our point view is how a student express his/her mathematical thinking? By answering this question, made simple model for teacher education purposes, call it “languaging” (of thinking). articles Issue gives some answers to questions: “What thinking it?” relationships between conceptual understanding thinking?”.