Probability signifies a mainstream strand in mathematics curricula. Nonetheless, many curricular documents prepared for teachers might not offer enough support. In such a situation, a further reflection on teachers' professional knowledge for teaching probability is demanded; especially, from the perspective of probabilistic reasoning (PoPR) that…

Teachers' content knowledge impacts on what they teach, how they teach and what their students learn. In order to check whether the prospective teachers in a rural South African university know the mathematics content they are expected to teach in the schools, at least at the same depth as their future students expected to attain, the research on…

In this paper we describe the development of a questionnaire designed to assess the probability content knowledge of prospective primary school teachers. Three components of mathematical knowledge for teaching and three different meanings of probability (classical, frequentist and subjective) are considered. The questionnaire content is based on…

The objective of this article is to contribute to the documented dearth of research on teachers' probabilistic knowledge. Prospective teachers of elementary school mathematics were asked to identify which result from five flips of a fair coin was least likely to occur. Participants, instead of being presented with sequences, were presented with…

A hypothetical framework to characterize statistical knowledge for teaching (SKT) is described. Empirical grounding for the framework is provided by artifacts from an undergraduate course for prospective teachers that concentrated on the development of SKT. The theoretical notion of "key developmental understanding" (KDU) is used to identify…

Early childhood teachers may differ regarding the knowledge base they use when making professional decisions. In this study two orientations are distinguished: the orientation towards scientific knowledge vs. the orientation towards intuition and subjective experience. As different tracks in early childhood teacher education qualify for…

The main objective of this article is to contribute to the limited research on teachers' knowledge of probability. In order to meet this objective, we presented prospective mathematics teachers with a variation of a well known task and asked them to determine which of five possible coin flip sequences was least likely to occur. To analyze…

Our study, situated within graduate-level courses for teachers focused on statistics, illustrates work across institutions for making sense of teachers' statistical thinking. Using a common assessment instrument, we identify and discuss four items that indicate strong statistical thinking and two that highlight concepts with which teachers…

The purpose of this case study is to reveal prospective science teachers' knowledge and achievement levels in electricity-related subjects. The data for the study were collected from 44 prospective teachers using three measurement tools. The data were then analyzed using software developed for the Probability and Possibility Calculation Statistics…

This document contains the third volume of the proceedings of the 28th Annual Conference of the International Group for the Psychology of Mathematics. Conference presentations are centered around the theme "Inclusion and Diversity". A total of 65 research reports are presented here: (1) A Teacher's Model of Students Algebraic Thinking…

This document contains the fourth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Kun and…