This article provides teachers with a toolkit for assessing students in the context of data-based individualization (DBI) in mathematics. Assessing students is a critical component of DBI because it provides teachers with information about what they may need to modify in their instructional programs. In this article, we provide teachers with…

Adaptive teachers use student data to guide instruction. Learn about using an anecdotal record form to support adaptive teaching. In this article, the authors describe how teachers can use learning trajectories to make adaptive decisions to meet the needs of their students. They provide an example using the U .S. Math Recovery Council's learning…

Data literacy enables teachers to use information collected about students and their learning to take data-informed instructional action. This article outlines two approaches developed by teachers to provide teaching targeted to the immediate needs of specific students that moved beyond "gap-filling". The pre-teaching and "fresh…

Mathematics teachers are often keen to find ways of connecting mathematics with the real world. One way to do so is to teach mathematical modelling using real data. Mathematical models have two components: a model structure and parameters within that structure. Real data can be used in one of two ways for each component: (a) to…

Data-based individualization (DBI) is a framework that allows educators to make timely and informed decisions about student progress in academics or behavior. In this article, we focus on the DBI framework as applied to math intervention within a tiered support model for students experiencing math difficulty. We review how DBI starts with an…

This article illustrates one of several learning sequences from the Interdisciplinary Mathematics and Science (IMS) Learning project, connecting science and mathematics learning in the primary school. Investigating Body Height involved a series of investigations conducted in Years 5 and 6 across six classes in one school. The project teachers…

The tutor-web is an open-source learning environment designed to be used for teaching mathematics and statistics. The system offers thousands of exercises at high school and university level, and has been used for a decade to teach introductory statistics courses with good results. A new component has recently been added to the tutor-web so that…

To be literate in a society where the information shared online is often exploited, learners should be exposed to multiple aspects of contemporary predictive modeling. This article explores an activity in which grade 10 students learned how a famous AI algorithm (the Apriori algorithm) uses conditional probability to automate the process of…

The 2016 Guidelines for Assessment and Instruction in Statistics Education (GAISE) College Report emphasized six recommendations to teach introductory courses in statistics. Among them: use of real data with context and purpose. Many educators have created databases consisting of multiple datasets for use in class; sometimes making hundreds of…

A primary goal of introductory statistics courses is to develop a student's ability to think statistically. To motivate students to this end, the literature suggests that statistics courses use exercises that are relevant and familiar to students. Work in educational psychology highlights the importance of connecting new concepts to pre-existing…

Postsecondary institutions and systems across the nation have demonstrated remarkable progress since the first "Core Principles for Transforming Remediation Within a Comprehensive Student Success Strategy" was published in 2015 (see ED561279). Building on this progress, the Summary Details Education Commission of the States (ECS) has…

The National Center for Special Education Research (NCSER) supports research that contributes to the identification of effective strategies for improving the performance of current teachers and other instructional personnel, and related services providers in ways that increase student learning and achievement, social and behavioral skills, and…