Mental brackets constitute an idiosyncratic use of brackets sometimes used to evaluate arithmetic expressions and are closely connected with students' structure sense. The relevant literature describes the use of mental brackets focusing on primary school students and in the context of arithmetic. Using 181 high school students' solutions to seven…

This article presents several mathematics problems on the same theme that can be used in class or for independent study. It is very difficult to show students how mathematics research is done by mathematicians, so the author first introduces a problem that can be tackled solely by arithmetic and then gives an idea of how a mathematician might…

Ben Zunica describes a lesson in which computational thinking has been successful in assisting students to understand the process of simplifying surds. The strengths and limitations of this approach are discussed. The author concludes that computational thinking can assist in solidifying understanding of a range of mathematical processes for…

This mathematics classroom based experimental study determined the relative effectiveness of formative assessment techniques on students' academic achievement in Mathematics. Factorial research design was adopted for the study involving 100 students from 2 co-educational secondary schools drawn through multistage sampling procedure. Mathematics…

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…

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…