There is mixed evidence as to whether concrete manipulatives (e.g., toy animals) are better than abstract manipulatives (e.g., counters) for teaching mathematical concepts to children. Concreteness is defined as the amount of extraneous information a manipulative provides, and in this study we aimed to unpick which dimensions of concreteness…

This paper investigates how mathematics instructors' recognition of the professional obligations of mathematics teaching varies based on their institutional environment, specifically whether they teach high school or college mathematics. Using an instrument that measures instructors' recognition of four hypothesized professional obligations, we…

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as…

Teachers' and students' values influenced the teaching and learning process in the mathematics classroom. Few studies were conducted to compare teachers' and students' value in mathematics learning. This paper explores Malaysian mathematics teachers' and students' values in mathematics learning. Fifty-three mathematics teachers and 354 secondary…

Prisms VR, a secondary math learning application, allows for users to see, manipulate, and engage with mathematical concepts in an embodied way in Virtual Reality (VR) environment. We examine cases in which mathematics teachers and middle school students worked through Prisms and reflected upon their experiences. Findings indicate that VR…

The mindsets of students in upper-level or honors mathematics courses can impact their success, as can their teachers' mindsets. The purpose of this study was to examine students' perceptions of ability and intelligence (mindset) and their perceptions of their teachers' mindset in honors or upper-level high school mathematics classroom to identify…

Research suggests teachers have positive motivational and emotional orientations regarding statistics but little statistical knowledge. How does this fit together? Since teachers' professional competence in statistics has not been well explored, we asked 88 in-service mathematics teachers about their orientations regarding teaching statistics and…

We investigated French primary school teachers' assessment practice in mathematics. Using an online questionnaire on teachers' background, teaching, and grading practice, we were able to determine assessment profiles of 604 primary school teachers. As evidenced by the teachers' scores on the latent factors Assessment purposes, Assessment…

The present study investigated the impact of COVID-19 on middle level females enrolled in algebra in face-to-face instruction or virtual instruction during the 2020-2021 school year. The study analyzed the data from the required summative assessment for algebra students mandated by South Carolina Department of Education. Districts had flexibility…

We report on a series of task-based interviews in which nine mathematicians were asked to evaluate a series of six mathematical arguments, purportedly produced either by fellow mathematicians or undergraduate students. In this paper, we attend to the role of context in mathematicians' responses, leading to four themes in expectations when…

The present research inquired about beliefs of in-service and pre-service mathematics teachers as well as the analysis and comparison between the beliefs that they declare, argue, and reflect in their lessons plans, and the use of those beliefs in their practical exercises. Five pre-service teachers studying a Bachelor's in Mathematics, and three…

The purpose of this study was to characterize variations in how teachers enacted an approach to ambitious mathematics teaching: "rough draft math." We also examined teachers' motivations for their enactments. Thirty-two teachers from five states in the U.S.A. were recruited to participate in interviews based on recommendations from…

In this paper, we approach modelling mathematics dispositions from a different methodological perspective in order to shed more light into the complex interplay between teaching practices and students' learning outcomes. We draw on survey data from around 5000 students from Year 7-11 (age 11-16) from 40 Secondary schools in England. Our…

Tertiary mathematics educators have been shifting towards an active learning approach to teaching. Many external factors support or hinder their transition towards evidence-based instructional practices, including, of recent international interest, the physical learning spaces. In this study in the U.S., I observed and interviewed instructors of…

Due to increased need of professionals on the future labour market with competence in programming, many countries have integrated programming in kindergarten to grade 12 (K-12) education. In 2017, programming was integrated in Swedish primary and secondary school curriculum and the courses of Mathematics and Technology. Research has highlighted…