Background/Context: Current course-taking plans for high school students are often not optimized to support every student's success in math. Since math course-taking can influence important outcomes (e.g., math achievement, college enrollment), and these effects may vary by students' characteristics (Byun et al., 2015), it is crucial to develop…

This study investigates elementary school teachers' mastery of mathematical content and pedagogical content knowledge (PCK) in Eastern Indonesia, a region bordering other countries. Specifically, the research explores the relationship between teachers' knowledge of content and students (KCS), knowledge of content and teaching (KCT), and knowledge…

This note deals with some variants of the integral mean value theorem. Mainly a variant of Sahoo's theorem and a variant of Wayment's theorem were proved. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.

Interest in teachers' moves to classroom discourse has started to increase since how teachers respond to students' thinking influences students' learning. The purpose of this study was to investigate the moves used by one sixth grade mathematics teacher at a public middle school in Turkey to support student reasoning in mathematics instruction and…

Mathematical modelling has great potential to motivate students towards studying mathematics. This article discusses several different approaches to integrating research work with a second-year undergraduate, mathematical modelling subject. I found sourcing papers from the areas of epidemiology and ecology to be a fruitful source area,…

The SIR model is a differential equations based model of the spread of an infectious disease that compartmentalises individuals in a population into one of three states: those who are susceptible to a disease (S), those who are infected and can transmit the disease to others (I), and those who have recovered from the disease and are now immune…

In a pre-service mathematics methods class I taught, in which we mathematized political districting (first horizontally, then vertically), student questions led to engaging mathematics, in particular, the development of a new number sequence.

Students' difficulties in differentiating the direct proportion and inverse proportion problems cause interference. Proactive interference is the error that occurs when old information (concept of direct proportion) interferes with new information (concept of inverse proportion). In solving the problem of inverse proportion, students often use the…

We describe the components and implementation of an activity for multivariable calculus featuring applications to the field of chemistry. This activity focuses on the isobaric thermal expansion coefficient found using partial differentiation of the volume of an ideal gas with respect to temperature as pressure is held constant. Broader goals of…

Teachers' actions matter greatly in the mathematics classroom, but it is not always clear what guides their actions or from where they come. As teachers strive to create rich and engaging learning environments, how they capitalize on a particular moment is often unclear. Sometimes just identifying potential pathways to take can be challenging. In…

Emotion detection through sensors is intrusive and expensive, making it impractical for many educational settings. As an alternative, sensor-free affect detection, which relies solely on interaction log data for machine learning models, has been explored. However, sensor-free emotion detectors have not significantly improved performance when…

Early numerical skills are important not only for later mathematical achievement but for overall achievement and are associated with later income, health, and quality of life. Socioeconomic disparities in numerical skills are visible before children begin school, and widen throughout schooling. It is, therefore, important to support the…

Formative Assessment (FA) is a promising teaching practice for supporting students' learning at school. However, implementing FA into teaching (mathematics) is challenging, effects of implementation of FA vary between empirical studies. Therefore, recent studies additionally consider instructional quality of teaching when analyzing effects of FA…

In educational research, teaching quality is extensively studied because of its role of a mediator between teacher characteristics and student learning. However, empirical evidence on differences between video and live scoring of teaching quality is rare. In the present study, thirty lessons from 15 secondary mathematics classrooms in a German…

How does the representation of boy and girl exemplars in curricular materials affect students' learning? We tested two competing hypotheses about the impact of gender exemplar on learning: First, in line with Social Learning Theory, children might exhibit a same-gender bias such that they prefer to learn from exemplars that match their gender…