National mathematics achievement results show that elementary students in the United States are not increasing in cognitive ability or critical thinking skills (NAEP, 2020). For this increase, mathematically promising students require more opportunities for cognitively demanding mathematics instruction. As a result, this descriptive study focused…

Mathematical modeling and applications are an important part of curriculum and considered to be important for students' current and future lives. In this contribution, we focus on mathematical modeling from a cognitive prospective. Following embedding the cognitive perspective within the discourse of mathematical modeling, we describe some of the…

The importance of multiplicative thinking in supporting students' learning of key topics and success in further mathematics is widely and clearly stated in mathematics education literature. However, multiplicative thinking is not clearly stated in curriculum documents of many countries including Australia. In the "Australian Curriculum:…

At Haverford High School, a suburban high school in Haverford, Pennsylvania, a mathematical achievement gap exists for economically disadvantaged, special education, and Black students. Researchers have found that students in lower tracked classes often receive less rigorous tasks, tasks with lower cognitive demand, and fewer tasks that focus on…

Augmented reality (AR) has the potential to enhance visual cognition through virtual object experimentation and practice, while also fostering spatial skills relevant to mathematics. This experimental study was conducted with 86 sixth graders in Eastern China, involving a 3-month AR integrated Mathematics Curriculum (ARiMC), with pre- and…

This paper explores the correlation between mental calculation performance and the frequency of using written algorithms in mental calculation tasks. Mental calculation is a mathematical tool used in everyday life situations during and after our formal education. After presenting an overview of the professional literature on this topic, the paper…

Mathematics Education in South Africa continues to face complex, multifaceted challenges, but as data from this study show, there is reason for hope. The Western Cape Education Department recently implemented the Green Shoots Maths Curriculum Online (MCO) program in 500 of its primary schools. An ABC classification of affective, behavioural, and…

In many countries, in contemporary math curricula, particularly in early childhood and childhood classrooms, it is considered crucial to encourage children to show their work, to concretely represent their thinking. This article takes up an historiography of this trend (from an American perspective), and draws on case studies of elementary…

Precalculus and calculus are considered gatekeeper courses because of their academic challenge and status as requirements for STEM (science, technology, engineering, and mathematics) and non-STEM majors alike. Despite college mathematics often being seen as a neutral space, the field has identified ways that expectations, interactions, and…

Mathematics curricula have traditionally focused on content knowledge, often in the form of a scope and sequence of increasingly difficult mathematics. The importance of using and applying mathematics is recognised in the current Australian Curriculum Mathematics (AC: M) as 'proficiencies' that are intended to be integrated with the content. There…

The purpose of this study is to electrophysiologically assess the effect of an individualized education program supported with musical activities on the success of primary school students with computational difficulties. A mixed-methods design consisting of qualitative and quantitative methods was employed as the research model. The research group…

Comparative studies on science curricula provide insights into educational standards worldwide. Accordingly, in this study, we analysed the intended curricula of mathematics and science subjects of the Czech Republic, Estonia, Poland and Slovenia by comparing their lower secondary (ISCED 2) National Curriculum Documents on mathematics, physics,…

Through the lenses of statistical investigations and cognitive demands, we examined bivariate data tasks offered in US high school mathematics textbook series--a popular representative of three curriculum types: traditional, integrated, and hybrid. We developed a framework grounded in literature of association topics for the inclusion and…

The article provides a possible option of how first-year students of Russian universities adapt to mastering higher mathematics. The purpose of the research is the development of methodological approaches to designing an online course that recaps school math material in a short period. The concept of individualization of educational activities is…

Building on the work of Schmidt et al., we propose a definition of curricular coherence for K-12 mathematics that encompasses both the arrangement of topics, which we call coherence of content, and the habits of mind the curriculum fosters in students, which we call coherence of practice. We give examples to illustrate each. [For the complete…