The purpose of this study was to investigate elements of the history of mathematics in secondary school mathematics textbooks in Ethiopia. In line with this, the study also identified the extent to which mathematics is seen as a social construct in textbooks. To achieve these four mathematics textbooks from Grades 9 to Grade 12 were selected for…

Computer-assisted learning platforms (CALPS) increasingly include gamified elements to improve student outcomes by enhancing their engagement with content. Although evidence exists that gamified programs increase engagement and learning outcomes, there is little causal research on what programmatic mechanisms drive the effect between engagement…

We present a recent randomized field trial delivered in Carnegie Learning's MATHia's intelligent tutoring system to a sample of 12,374 learners intended to test whether rewriting content in a selection of so-called "word problems" improves student mathematics performance within this content, especially among students who are emerging as…

This is the second of two articles on the life and mathematical legacy of the Indian mathematician Ramanujan, who died one hundred years ago. The first article, "The Life and Times of the Indian Mathematician Ramanujan (1887-1920)" (EJ1269466), which appeared in the previous issue of "Australian Mathematics Education Journal,"…

The use of original sources is a useful resource not only to be used with secondary school students but also with prospective mathematics teachers. In this work, we designed a series of tasks based on a fragment excerpted from Clairaut's "Éléments de Géométrie" to be carried out with 24 participants enrolled on a Masters' Degree in…

Sinusoidal functions are difficult for students: Periodicity is a new concept, transferring information from the unit circle can be confusing, and computations with multiple solutions can be overwhelming. Many struggle with both the unfamiliar "waviness" of sinusoidal graphs and their transformations (translations, dilations, and…

In this study, we examine the connections between real analysis concepts and secondary mathematics content. This is accomplished by conducting a textbook analysis of a commonly used real analysis textbook. Concepts from the real analysis textbook were mapped to the Common Core State Standards-Mathematics (2010) to determine the relationship…

Mathematics in its nature is exploratory, giving learners a chance to view it from different perspectives. However, during most of their schooling, South African learners are rarely exposed to mathematical explorations, either because of the lack of resources or the nature of the curriculum in use. Perhaps, this is due to teachers' inability to…

Do you sometimes start to teach a mathematics concept and feel like you are staring at a sea of bewildered faces? What happens when you discover that students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to…

Achievement in mathematics, particularly in advanced mathematics courses (such as trigonometry, precalculus, calculus, or Advanced Placement courses), is important for long-term college and career success. However, many students--particularly students who are Black, Hispanic, or from low-income households--do not have access to advanced…

We report on a long-term collaboration with ninth-grade mathematics teachers at a linguistically diverse high school in which we examined the intersection between mathematics and language, and how language and mathematical thinking can be developed together in a multilingual setting. We co-designed lessons that promoted conceptual understanding,…

This article introduces basic strategies for teachers initiating translanguaging pedagogy for emergent bilingual students in mathematics classrooms to support linguistic identities, create inclusive environments, and enhance learning. The authors collaborated with Algebra 1 teachers who exclusively taught emergent bilingual students, implementing…

For students entering Grade 9 in the 2014-15 school year and later, Texas modified its public high school graduation requirements by enacting House Bill 5 (HB 5) during the 83rd Texas Legislature. These changes provided students with greater flexibility in the courses required for graduation (including eliminating Algebra II as a required course)…

Previous studies have found positive effects of Game-Based Learning for mathematics. While most studies assume that this effect is explained by the presence of flow/immersion during games, this has not yet been established. The aim of the current study is to verify if immersion indeed is associated with mathematical skills improvement when using a…

Multiple-select multiple-choice items, or multiple-choice items with more than one correct answer, are used to quickly assess content on standardized assessments. Because there are multiple keys to these item types, there are also multiple ways to score student responses to these items. The purpose of this study was to investigate how changing the…