This qualitative research study uses middle-grades students' numerical reasoning to model their symbolic representations of the relationship between two multiplicatively related unknowns on an algebra task. Students in sixth grade through ninth grade participated in clinical interviews that assessed their numerical reasoning using the Number…

The purpose of the study was to explore the effects of focused numeracy instruction on the ratio in a middle school mathematics class and the lived experiences of students with special needs as they underwent the intervention. The intervention focused on using numeracy embedded into the intervention, specifically focusing on rational number…

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…

The aim of this study was to investigate the VMLSE perception levels of eighth grade students and differentiations based on variables of gender, state of success, final grade and ability to relate mathematical concepts to daily life and examine their views on this issue. The exploratory design of mixed method, which includes both quantitative and…

This paper analyzes factors that affect the numeracy skills of secondary school students from mountainous and ethnic minority regions in Vietnam from the perspective of the students to create suitable strategies for teachers, parents, and the government to enhance their numeracy skills. Data from 755 students in 8 secondary schools in 8 provinces…

Math Corps is an evidence-based tutoring program serving students in grades 4 through 8 that increases opportunities to learn and practice fundamental math skills related to understanding whole and rational numbers. Its intent is that all students, in particular students who are Black, Latino, and/or experiencing poverty, will reach grade-level…

This paper provides insight into middle school students' perceptions and reactions to their participation in the Australian "National Assessment Program--Literacy and Numeracy" (NAPLAN). A case study was conducted over 10 months at two Queensland schools with different approaches to NAPLAN implementation. Student voice was elicited via…

This study examined student perceptions of their school environment (specifically, safety and inclusion in the school, experiences being bullied, and clear expectations for behaviour) and their relation with academic achievement at the school level. Participants were students in 969 elementary schools and 73 middle schools who took part in a…

This paper reports on the evaluation of a six-day programme that provided professional learning to middle school teachers with the aim of equipping them to assist their pupils to achieve improved numeracy outcomes. A teacher profiling instrument designed to measure varied aspects of teachers' knowledge for teaching mathematics was administered to…

These proceedings contain the papers of the 14th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2017), 18-20 October 2017, which has been organized by the International Association for Development of the Information Society (IADIS) and endorsed by the Japanese Society for Information and Systems in…

Using data from the Longitudinal Study of American Youth, this analysis tested whether changes during middle and high school in mathematics-related cognitive and affective factors influence participation in the most advanced mathematics course work, with control over confounding factors associated with student background. No significant…

Students who successfully complete grade nine are substantially more likely to graduate from high school than are students who fail the freshman year. However, many middle grades students are not academically prepared for ninth grade. This report addresses five questions that can help school leaders ensure that middle grades students know the…

This book contains a compilation of papers presented at the International Conference on Education and New Developments (END 2017), organized by the World Institute for Advanced Research and Science (W.I.A.R.S.). Education, in our contemporary world, is a right since we are born. Every experience has a formative effect on the constitution of the…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…