The algorithm for fraction multiplication is relatively easy to memorize and implement with accuracy. The simplicity of the algorithm masks the conceptual complexity involved in making sense of what fraction multiplication means in quantitative situations. One important interpretation of fraction multiplication involves fraction composition,…

Considering the negative situations faced by the migrating societies, it is known that the language and culture factors exert a stronger influence on the mathematics course than the other undesirable conditions. From this perspective, it is known that the mathematical performance of individuals is likely to increase by placing the concept of…

In Ireland, Initial Teacher Education [ITE] standards require all teachers to possess an adequate level of numeracy themselves in order to teach for numeracy learning across the school curriculum. This paper reports on a study that investigated 204 pre-service post-primary teachers' numeracy capabilities. Analysis of questionnaire data from…

Problem solving and reasoning are two key components of becoming numerate. Reports obtained from international assessments show that Australian students' problem solving ability is in a long-term decline. There is little evidence that teachers are embracing problem solving as part of the classroom routine. In this study, we analyse 598 Year 7 to…

Estimating and accounting for statistical uncertainty have become essential in today's information age, and crucial for cultivating a sound decision making citizenry. Engaging with statistical uncertainty early on can support the gradual development of uncertainty-related considerations that are often challenging to foster at any age. Statistical…

This investigation delves into the numerical comprehension among elementary and middle school students within Israel's Arab sector, challenging the conventional metrics of mathematical ability. Despite the apparent adeptness in standard mathematical tests, a significant discrepancy exists between calculative prowess and genuine numerical…

In this study, it is aimed to reveal the images formed in the minds of high school students about the concept of mathematics with the help of their own expressions and drawings. In this qualitative study, the core of 100 high school students' experiences of math was examined with a holistic approach using Online Interpretative Phenomenological…

Informed citizenship in the 21st Century requires individuals to be numerate. In Australia, all teachers are expected to attend to numeracy inherent in the subjects they teach. Many teachers, however, find this approach challenging and may not see potential benefits for subject learning. Drawing on lesson vignettes and post-lesson interviews, a…

Understanding the cognitive processes central to mathematical development is crucial to addressing systemic inequities in math achievement. We investigate the "Groupitizing" ability in 1209 third to eighth graders (mean age at first timepoint = 10.48, 586 girls, 39.16% Asian, 28.88% Hispanic/Latino, 18.51% White), a process that captures…

Students who exhibit mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly choose effective problem-solving strategies (McIntosh et al., 1997, https://ro.ecu.edu.au/ecuworks/6819). Due to its dispositional nature, mature number sense is typically measured through in-depth interviews or tests of…

We report on an exploratory effort to design an interest-based learning experience for high school (step) dancers to engage with concepts in mathematics and data science. We hypothesized that generating and analyzing data from their own dance movement, through motion and audio capture, would: (1) enable learners to form analogies between off-line…

This book provides an introduction to what it means to be numerate, and how numeracy can best be developed and nurtured in children and in adults. It also presents a cohesive coverage of numeracy development from early childhood to adulthood. This book draws on international research and practice to provide a comprehensive overview on the topic.…

Numerical magnitude knowledge is related to current math abilities and predictive of future math learning. However, this relationship has previously been shown only for knowledge of positive magnitudes; the present study is the first, to our knowledge, to examine the connection between magnitude knowledge and math ability with negative integers.…

Understanding rational numbers is a complex task for primary and secondary school students. Previous research has shown that a possible reason is students' tendency to apply the properties of natural numbers (inappropriately) when they are working with rational numbers (a phenomenon called "natural number bias"). Focusing on rational…

The purpose of this study was to investigate secondary mathematics teachers' conceptions of the barriers to the development of mathematical literacy. The data were collected through semi-structured interviews with sixteen in-service mathematics teachers from nine secondary schools of five different school types. The data analysis consisted of an…