Determining what students know and understand, as well as what misconceptions they have, is essential to planning and providing targeted intervention and support. In this article, a teacher uses formative assessment interviews to uncover evidence of students' understandings and to plan targeted instruction in a mathematics intervention class. The…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

Portfolios have been regarded as a means of personal self-expression. This study reports on student real-life experiences with portfolio assessment. The focus group comprised 150 freshmen (100 females) from a small campus of a tertiary educational institution. For two semesters (approximately 30 weeks), students engaged in numerous activities…

This study developed a standardised mediated assessment to measure young children's mathematical ability in reasoning, abstraction and representation in number, computation, quantity, shape and relationship through six tasks with four levels. The percentage distribution of children at four levels on the tasks showed that the tiered mediations…

This study was inspired by a history of student difficulties in calculus, and innovation in response to those difficulties. The goals of the study were fourfold. First, to design a mathlet for students to explore local linearity. Second, to redesign the curriculum of first semester calculus around the use of technology, an emphasis on…

The PD program evaluated in this study is designed to address the problem of low student achievement in topics in rational numbers. The study focuses on seventh grade, the culminating year for teaching those topics. The study randomly assigned 77 mid- and high-poverty schools from 12 districts to treatment and control conditions and collected…

This paper will describe results concerning the impact of the PD on the three primary study outcomes: teacher knowledge of rational number topics, teacher instructional practices, and student achievement in rational number topics. All analyses are completed. However, the results cannot be shared at this time because the report is currently under…

Aligned with recent changes to syllabuses in Australia is an assessment regime requiring teachers to identify what their students "know" and "can do" in terms of the quality of understanding demonstrated. This paper describes the experiences of 25 secondary science and mathematics teachers in rural schools in New South Wales as…

"Saxon Elementary School Math," published by Harcourt Achieve, is a core curriculum for students in kindergarten through grade 5. A distinguishing feature of "Saxon Elementary School Math" is its use of a distributed approach, as opposed to a chapter-based approach, for instruction and assessment. The program is built on the…