Recent educational studies in mathematics seek to justify a thesis that there is a conflict between students' intuitions regarding infinity and the standard theory of infinite numbers. On the contrary, we argue that students' intuitions do not match but to Cantor's theory, not to any theory of infinity. To this end, we sketch ways of measuring…

This article asks the question: is the "Last Banana" game fair? Engaging in this exploration provides students with the mathematical power to answer the question and the mathematical opportunity to explore important statistical ideas. Students engage in simulations to calculate experimental probabilities and confirm those results by…

Answering a call to emphasize the act of defining over the learning of definitions, we have shifted the content of a geometry course for preservice elementary teachers (PSETs) away from comparing and applying pre-written classification structures to classroom episodes centered on authoring definitions for special quadrilaterals. PSETs complete…

This article pushes back against the "evalu-centric view of improvement" (Hazi, 2018; 2020) in the supervision literature by advocating for a democratic pedagogy and supervision framework developed to support instructional supervision and evaluation dialogue between teachers and leaders. This democratized approach honors and centers the…

This study examined spring literacy scores among at-risk prekindergarten students exposed to supplemental support solely in literacy or a combination of literacy and math. Propensity scores were used to match students receiving combined support (n = 39) with an equivalent number of students receiving only literacy tutoring. Students were matched…

Research has shown that the ways in which teachers engage in professional development activities vary widely. identified three levels of teacher appropriation within professional development, with their inquiry stance indicative of teachers engaging in self-sustaining practices. In our project, we modified the demonstration lesson format so that…

Geometry, calculus and in particular integrals, are too often seen by young students as technical tools with no link to the reality. This fact generates a loss of interest in students with a consequent removal of motivation in the study of such topics and more widely in pursuing scientific curricula. With this note we put to the fore a simple…

How would students feel when learning through the use of mathematical modeling? On investigation, this article reveals that students felt better prepared for assessments, learned valuable life skills, and saw the relevance of mathematics to their lives outside of the classroom.

This article presents ways to explore mathematical concepts using Catan, a popular board game. After a brief overview of game play, we explore considerations with many potential entry points for mathematical modeling, such as which resource is the best, which resources will be rare or plentiful, where to build, and risk assessment.

This paper outlines the development and implementation of a ten-week micro-curriculum, "Booked on Math," designed to introduce preschool children to foundational mathematics concepts through interactive read-alouds. The "Booked on Math" curricula includes ten book readings and associated inquiry-based lesson plans. "Booked…

The aim of this research is to examine developments of primary school teacher candidates' mathematics teaching performance according to peer assessment. Primary school teacher candidates practiced teaching skills within the scope of the Teaching Practice. This research is a longitudinal study. The research's study group has fifty-eight primary…

Digital transformation has made possible the implementation of environments in which mathematics can be experienced in interplay with the computer. Examples are dynamic geometry environments or interactive computational environments, for example GeoGebra or Jupyter Notebook, respectively. We argue that a new possibility to construct and experience…

This study presents the results of a series of design experiments that aimed to engage twelve fourth-grade students in mathematical activity exploring the volume of right prisms and cylinders as a dynamic sweep of a surface through a height, an approach that is referred to as Dynamic Measurement for Volume (DYME-V). This article describes this…

The article focuses on teaching maths in German primary schools out-of-field. The concept of subject matter seems to stand in opposition to the equally pedagogically and administratively desired class teacher principle in primary school. In the contribution, negotiations are outlined on the basis of a qualitative-reconstructive-interview-study, to…

This study analyzed the research status of mathematical problem posing in thirteen major mathematics education journals from each journal's earliest publication year the study could access to the year of 2018 or 2019, among which 49 years long was the longest and 14 years long was the shortest. After a systematic and comprehensive review of all…