What makes for successful numeracy education in remote Indigenous contexts: an ethnographic case study approach. There are many successful teachers and schools who have enabled remote Indigenous learners to engage with, and learn, school mathematics. But what do they do? How do they do it? This project investigates and documents successful practices in 32 schools located in remote communities. The project includes the many aspects of teaching practice.
Social and geographical location and its impact on mathematics teaching and learning. Too many students from poor urban backgrounds or from rural communities are at risk of underperforming in school mathematics. This project identifies the critical factors that contribute to this failure and seeks to develop improved practices to enable greater access to school mathematics.
For the sake of the argument: developing students' inferential arguments in statistics. Data adds power and persuasion to arguments in every aspect of life: work, citizenship or personal. This international collaboration will infuse argumentation skills into the learning of school statistics. New knowledge developed in this project will forge a citizenry, workforce and scientists savvy in creating and critiquing data-based arguments.
Equity and spatial reasoning in students’ mathematics development. The project aims to understand the influence of Spatial-Reasoning on school mathematics. Spatial-Reasoning skills are a significant predictor of achievement in mathematics, and will become increasingly necessary in digital and dynamic environments. Opportunities for disadvantaged students to develop such reasoning skills are limited; they are typically not taught in schools. The project investigates the role and nature of Spatial ....Equity and spatial reasoning in students’ mathematics development. The project aims to understand the influence of Spatial-Reasoning on school mathematics. Spatial-Reasoning skills are a significant predictor of achievement in mathematics, and will become increasingly necessary in digital and dynamic environments. Opportunities for disadvantaged students to develop such reasoning skills are limited; they are typically not taught in schools. The project investigates the role and nature of Spatial-Reasoning in students’ mathematics development; and substantiates the long-term effect of a spatial learning programme on educationally disadvantaged students’ mathematics performance and reasoning. This project is expected to improve disadvantaged students’ spatial reasoning and mathematics skills and their life opportunities.Read moreRead less
Statistical literacy in the primary school: beginning inference. Australia is committed to building a stronger foundation for school mathematics and science. This project will introduce primary school students to beginning inference, a core component of statistical literacy and an increasingly important life skill. Foundations for secondary mathematics study and productive societal participation will be laid.
Young Indigenous students' numeracy learning: Oral language, mathematical representations and engagement. High quality early childhood education for Indigenous students is an essential precondition for school readiness, and Indigenous parents and communities are essential for success and sustainability. Our pilot results confront stereotypes by evidencing that young Indigenous students are mathematically capable learners. It is a significant social and economic loss that a section of the Austral ....Young Indigenous students' numeracy learning: Oral language, mathematical representations and engagement. High quality early childhood education for Indigenous students is an essential precondition for school readiness, and Indigenous parents and communities are essential for success and sustainability. Our pilot results confront stereotypes by evidencing that young Indigenous students are mathematically capable learners. It is a significant social and economic loss that a section of the Australian community is not sufficiently educated to share in the wealth of the nation. Minimal progress on numeracy measures results in failure to engage in higher levels of mathematics. This research builds a foundation in mathematics that levels the assessment playing field and supports participation in higher levels of mathematics.Read moreRead less
Enabling students' critical mathematical thinking. The capacity to use mathematics critically is essential for making prudent decisions and forming balanced judgements about economic, health, environmental and other challenges facing society. Developing Critical Mathematical Thinking (CMT) in the classroom provides students with the necessary skills to address complex real-world problems. Fostering CMT, however, is difficult and teaching practices around its development are under-researched and ....Enabling students' critical mathematical thinking. The capacity to use mathematics critically is essential for making prudent decisions and forming balanced judgements about economic, health, environmental and other challenges facing society. Developing Critical Mathematical Thinking (CMT) in the classroom provides students with the necessary skills to address complex real-world problems. Fostering CMT, however, is difficult and teaching practices around its development are under-researched and under-theorised. This study aims to generate new insight into teaching practices that can promote or inhibit students' CMT development. To address this aim, we use an innovative video-based methodology that integrates researcher and teacher perspectives on students' CMT development.Read moreRead less
Secondary and university mathematics: do they speak the same language? This project seeks innovative reasons for low progression rates of students in mathematical sciences subjects in Australia. It will examine students' symbol use at university and explore how it differs from the use at school. It will also examine links between students' response to increased symbolic load and their confidence to continue studying subjects with high mathematical content at university. Theoretical outcomes are ....Secondary and university mathematics: do they speak the same language? This project seeks innovative reasons for low progression rates of students in mathematical sciences subjects in Australia. It will examine students' symbol use at university and explore how it differs from the use at school. It will also examine links between students' response to increased symbolic load and their confidence to continue studying subjects with high mathematical content at university. Theoretical outcomes are expected to include new applications of epistemology and didactics theories and identification of key components of symbol load (for example, symbolic density, symbol familiarity) to describe how mathematical practices change with educational level. Practical outcomes are expected to include advice for educators with examples across the mathematical sciences.Read moreRead less
Processing mathematics tasks: the nature and role of visual and non-visual reasoning in digital and non-digital environments. Within the next four years, it is likely that the National Assessment Plan for Literacy and Numeracy (NAPLAN) will be administered in a digital mode. This project identifies differences between the delivery of mathematics assessment in pencil-and-paper and computer-based modes. Primary students' mathematics reasoning is compared across these modes and to cohorts from Sing ....Processing mathematics tasks: the nature and role of visual and non-visual reasoning in digital and non-digital environments. Within the next four years, it is likely that the National Assessment Plan for Literacy and Numeracy (NAPLAN) will be administered in a digital mode. This project identifies differences between the delivery of mathematics assessment in pencil-and-paper and computer-based modes. Primary students' mathematics reasoning is compared across these modes and to cohorts from Singapore.Read moreRead less
Processing dynamic graphics: Visuospatial reasoning in mathematics. Increasingly, mathematics competence will be measured in digital and dynamic contexts. Students who possess high visuospatial reasoning are expected to become even better equipped to succeed in science, technology, engineering and mathematics (STEM) related disciplines as technological advances shape how we interpret and decode information. This project explores those aspects of visuospatial reasoning critical for success when s ....Processing dynamic graphics: Visuospatial reasoning in mathematics. Increasingly, mathematics competence will be measured in digital and dynamic contexts. Students who possess high visuospatial reasoning are expected to become even better equipped to succeed in science, technology, engineering and mathematics (STEM) related disciplines as technological advances shape how we interpret and decode information. This project explores those aspects of visuospatial reasoning critical for success when students encounter dynamic mathematics tasks, and attempts to determine whether different forms of visuospatial reasoning are required to decode static and dynamic information. The project aims to better understand how students process mathematics tasks, so the inevitable move toward digital assessment can be managed effectively to promote assessment for learning.Read moreRead less