How much explicit logical reasoning instruction should be included in first-year mathematics courses, particularly those for non-math majors? We argue that all first-year students in mathematics courses should receive explicit instruction in logical reasoning. Engaging with precise logical statements is a fundamental skill in mathematics,…

Alongside formal education, the home mathematics environment is important for children's early maths development. This study reports a new domain-specific measure of parental self-efficacy for maths (and reading skills) with 3-4-year-olds. 65 families in the UK were surveyed, and a sub-sample of 40 families also completed a remote child assessment…

Background/purpose: Creative thinking is an essential 21st-century skill in mathematics education, closely connected to logical-mathematical ability. Solving numerical problems requires students to think systematically, flexibly, and deeply beyond technical skills. In this context, the creative thinking process remains underexplored empirically.…

One of the major challenges of the German vocational education and training (VET) system is the integration of adolescents with unfavorable learning prerequisites, i.e., individuals with no or lower school-leaving certificates or low levels of basic competencies (e.g., reading and mathematics). This paper examines the extent to which trainees'…

Metacognition plays an important role in the development of young children. Recent studies have found that metacognition and executive function are independent but closely related. In this study, 55 children aged 4-5 years were selected as subjects, and a short-term longitudinal design was used to analyze the relationships among metacognition,…

In this article, we address a call by Thompson and Carlson to directly contribute to defining the variation of students' reasoning about varying quantities. We show that students as young as in sixth grade can engage in complex forms of reasoning about multiple quantities in contexts that involve exploring science phenomena using interactive…

Research Findings: Shared-picture book reading can stimulate children's mathematical development. Evidence of learning-supportive characteristics in picture books is limited in this domain. A first step is systematically analyzing the occurrence of domain-specific features in publicly available picture books. We analyzed the occurrence of general…

This study aims to investigate students' mathematical connection ability in solving the problem of mathematical and correlation between indicators of mathematical connection ability. This research is correlation research. The sample of the study is 35 girls' students in the 9th grade in a middle school in Kerman province (south-east of Iran). Data…

There are several conceptualizations of modeling competencies, including among others on the one hand so-called sub-competencies, which are required to progress from one step of a modeling process to the next, and metacognitive individual and group strategies. However, the relationship between metacognitive strategies and modeling sub-competencies…

In 2010 a mathematics curriculum was introduced in Irish second level schools entitled 'Project Maths' (PM). It aimed to refocus second level mathematics teaching and learning away from an over emphasis on procedural mathematics towards problem solving and real understanding [Department of Education and Skills (DES). (2010). "Report of the…

The Euclidean Discus Toss is an active and tactile learning activity that models the extended Euclidean algorithm with a frisbee relay. The extended Euclidean algorithm involves both iterative and recursive programming and is regularly taught throughout the mathematics and computer science curricula. The Euclidean Discus Toss invites students to…

This study examined the relationship between using the Ignite by Hatch™ educational gaming system and assessments of the developmental status of young children participating in the 2023 Georgia Department of Early Care and Learning (DECAL) Summer Transition Program. Researchers collected data that describe the extent to which the children engaged…

Many approaches have been taken to study gender (in)equities in mathematics education, including studies of students' achievement on standardized tests, participation in postgraduate degrees and careers, participation in the classroom, and students and teachers' mathematics identities. In this dissertation, I used Baxter (2003b)'s Feminist…

'Mathematical sophistication' behaviours are often exercised by mathematicians in their work. In this article, the importance of mathematical sophistication will be discussed and three mathematics problems that activate mathematical sophistication behaviours will be presented.

Mathematical representation includes the process of transforming problems or ideas into new forms, including changing pictures or physical models into symbols, words, or sentences that can facilitate students in solving mathematical problems. Pythagorean Theorem material is widely used in analytic geometry, so this material becomes important for…