As it is already observed by mathematicians and educators, there is a discrepancy between the formal techniques of mathematical logic and the informal techniques of mathematics in regards to proof. We examine some of the reasons behind this discrepancy and to what degree it affects doing, teaching and learning mathematics in college. We also…

The ubiquity of the subject of percentages in our everyday life demands that math teachers and pre-service math teachers demonstrate a profound knowledge and thorough understanding of the concept of percentages. This work, which originated from one specific lesson in an 8th grade math class, studies the conceptual understanding and problem-solving…

I report on what teachers in an Advanced Certificate in Education (ACE) inservice programme learned about probabilistic reasoning in relation to teaching it. I worked "on the inside" using my practice as a site for studying teaching and learning. The teachers were from three different towns in the Northern Cape province and had limited…