Intuitions about infinity in teachers and students aged 15 to 17

Abstract

As teachers we are constantly teaching topics that have to do with the concept of -infinite- or at least we have talked about it in our lessons, however, I wonder if we really know ¿what an eleventh grader or a mathematics teacher thinks about the definition of infinite? or ¿what are their notions about the concept of limit? Due to this, in this research we share the conceptions that mathematics teachers and eleventh graders (15 to 17 years old) have about the concept of infinite. For this purpose, the definitions of infinite are identified and categorized from two surveys.

Keywords

• unlimited
• indefinite
• infinite
• infinite potential and actual
• conceptions