Besides homework assignments, optional quizzes are a commonly used means for formative assessment in tertiary mathematics education. Instructors, for example, implement these to help students detect gaps in their understanding, or to foster a continuous and active engagement with the content. The extent to which these goals are reached, however,…

Integrating literacy in science and mathematics learning and teaching has been an ongoing endeavour. There are frameworks developed to guide teachers' practices, but little is reported on assessing literacy simultaneously with scientific or mathematical content knowledge. We reviewed the literature on assessing literacy in science and mathematics…

Inclusive teaching practices can be characterized as recurrent ways how teachers work with their students' diverse abilities, but how exactly are they enacted in subject matter classrooms? The paper proposes a conceptual framework to unpack inclusive practices according to the student ability to which they refer, in five typical jobs for teachers:…

Increasing need for mathematics teachers in secondary schools has led to the implementation of professional development courses (PDC) offering formal certifications for in-service teachers in some German states. While these PDCs are well attended, little is known about the motives "why" teachers participate. In this article, we present…

Two middle school educators earned a Fulbright Distinguished Award in Teaching fellowship. A Fulbright Finland Foundation inter-country travel grant provided the grantees with a unique opportunity to connect and collaborate at the University of Helsinki. Within this research, they described their inquiry experiences. The research included…

In this article, we outline the process undertaken to establish and evaluate a mathematics centre at the Ravensburg-Weingarten University of Applied Sciences. Firstly, we outline some of the current research into centre evaluation. Secondly, we give a brief overview of our centre, including details on staffing, teaching format, goals, etc.…

In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…

The following paper continues the previous part, and examines the influence of crystallography on Fröbel's conception of mathematics. In this part we focus on yet unpublished material. These unpublished notes of Fröbel underline the visual transfer of drawing and images of crystals, mainly developed by Haüy, which were widespread at the turn of…

Friedrich Fröbel is known as the founder of the modern kindergarten and for his development of novel learning materials called Gifts and Occupations. One of the foci of Fröbel's programme was mathematical education, which he addressed and taught through various activities that encouraged the largely implicit transmission of mathematical…

Within the current policy and legislative context of educating students with and without special educational needs (SEN) together in one classroom, the question that is frequently raised by educators relates to how best to implement inclusion and meet the different needs of their students in class. It is also important to understand…

The study presented in this article takes a closer look at how French and German high-school students deal with a mathematical modeling problem, what blockages they encounter and how differences in the modeling processes between students from both nations can be explained by differences between the teaching and learning of mathematical modeling in…

Recent approaches to statistics education situate the teaching and learning of statistics within cycles of statistical inquiry. Learners pose questions, plan, and collect, represent, analyse and interpret data. We focus on the first step -- posing statistical questions. Posing statistical questions is a critical step as questions inform the types…

In March 2020, many schools worldwide were closed due to the COVID-19 pandemic. This closure confronted mathematics teachers with the challenging transition to emergency remote teaching (ERT). How did students experience ERT, and how did these experiences relate to context variables and to their teachers' beliefs and practices? In particular, what…

This article presents an analysis of a teaching concept we developed based on the Reference Framework of Competences for Democratic Culture (RFCDC) (Council of Europe, 2018), that not only provides opportunities to practice communicative skills but puts a major focus on democratic competences. Mathematics students and TEFL (Teaching English as a…

CATO is a new user interface, developed by the author as a response to the significant difficulties faced by scientists, engineers, and students in their usage of computer algebra (CA) systems. Their tendency to use CA systems only occasionally means that they are unfamiliar with requisite grammar and syntax these systems require. The author…