Researchers have consistently investigated Black American learners' academic performances in mathematics from a race-based perspective. Those who adamantly oppose such gap analyses advocate for strength-based studies, where the mathematics brilliances and resiliencies of Black American students are illuminated rather than their perceived…

Coordination of theoretical probability and relative frequency estimates is challenging in probability teaching and learning. Modeling is one of the ways of teaching and learning that facilitates inquiry between these two perspectives. Given that, we designed a modeling activity to support fifteen secondary students in investigating theoretical…

Researchers have identified many ways that students think about rectangular area. However, research about students' understanding of triangle area is relatively scarce. Although it may seem simple to apply the triangle area formula, there is more to students' understanding of triangle area. In this dissertation, I obtained data to help answer the…

The mathematics curricula of Australia (ACARA, 2019), Scotland, England and America all require an understanding of proof by contradiction. Specifically, proof by contradiction is included as a Geometry topic in Specialist Mathematics (Version 8.4). In Specialist Mathematics, it is expected that students construct proofs in a variety of contexts…

Despite compelling arguments for the importance of revisiting school mathematics in pre-service mathematics teacher education, there is little indication of how such revisiting might be done, particularly at secondary level. We argue that revisiting provides three key opportunities for learning: (1) additional time on the mathematics that…

Discrete mathematics and mathematical modelling, along with the educational discourse surrounding these, have many connections. However, ways that the educational discourse on discrete mathematics can benefit from the inclusion of examples of mathematical modelling and the accompanying discussion are currently under-researched. In this paper, we…

This study examined the link between two teaching characteristics (i.e., teacher support and cognitive activation) and achievement emotions in Chinese mathematics classrooms. The data were collected from 2232 students (49.9% male; M[subscript age] = 13.85, SD = 0.81) in 84 mathematics classrooms across 12 secondary schools in Jiangsu, China. The…

During the COVID-19 pandemic, distance learning became the dominant form of education, utilizing a variety of technological resources to activate students and facilitate independent learning. In this study, latent profile analysis was used to identify different distance learning profiles and analysis of covariance was used to analyze the…

Scholarly interest about how students learn and retain learned skills is vast. Cognitive psychologists have recommended various techniques used to increase retention. One technique, spaced retrieval practice, involves extending opportunities to retrieve course content beyond a customarily short window following the initial learning process. Our…

When the challenges faced in the transition period from arithmetic to algebra are considered, it is important to research the differences between secondary school mathematics teachers from Generations X and Y, and their awareness levels. This study aims to compare the algebraic operation skills of mathematics teachers from Generations X and Y and…

This study introduces an evaluation benchmark for middle school algebra to be used in artificial intelligence (AI) based educational platforms. The goal is to support the design of AI systems that can enhance learners' conceptual understanding of algebra by taking into account learners' current level of algebra comprehension. The dataset comprises…

Recent advances in AI have opened the door for the automated scoring of open-ended math problems, which were previously much more difficult to assess at scale. However, we know that biases still remain in some of these algorithms. For example, recent research on the automated scoring of student essays has shown that certain varieties of English…

The aim of this article is to buid a Guide to the Analysis of Probability Textbook Lessons for secondary education (students aged 12-14), using the framework of Didactic Suitability. The facets, components and indicators of the didactic suitability construct are applied to categorize and organize didactic-mathematical knowledge on teaching and…

Supplementary private tutoring (PT) is commonly implemented worldwide, particularly among countries with highly competitive school systems and high-stakes examinations. Families often consider PT to promote their children's skills and address any gaps in children's learning. However, PT generally requires a considerable amount of family resources,…

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…