Mathematics teaching methodology. State of the art

The aim of the article was to analyze trends in research regarding the methodology and teaching of mathematics from publications reported in Spanish language in relation thereto. The research developed was exploratory and was based on a literature review regarding the terms "teaching of mathematics" and "methodology of mathematics" that appeared in articles published in scientific journals reported in Google Scholar. The results of the review of the literature allowed to establish that the references related to the "teaching of mathematics" have a greater impact (more citations per document and higher index h) that those related to the "methodology of mathematics". It was determined that publications concerning the teaching of mathematics increased relative to 2000, but decreased from 2012. This trend may signal a lack of attention to the link in relation to the history of mathematics and teaching methodology. The content analysis of the collected references revealed that there are three major trends characterizing published articles: a) Items that use some kind of approach to the teaching method b) Distinction according to the level of education, c) Applications of Information and Communications Technology (ICT) in teaching and learning of mathematics. The use of semiotic notions in the teaching-learning process marks another type of research. This characterization of mathematical objects based on the ontosemiotic approach allows a better approach to the analysis of the processes of instruction and can be of great importance to establish indicators of educational suitability of teaching and learning mathematics.