Jonathan Bostic

This project builds upon the prior work by creating problem-solving measures for grades 3-5. The elementary assessments will be connected to the middle-grades assessments and will be available for use by school districts, researchers, and other education professionals seeking to effectively measure children's problem solving. The aims of the project are to (a) create three new mathematical problem-solving assessments and gather validity evidence for their use, (b) link the problem-solving measures (PSMs) with prior problem-solving measures (i.e., PSM6, PSM7, and PSM8), and (c) develop a meaningful reporting system for the PSMs.

The Common Core State Standards for Mathematics (CCSSM) problem-solving measures assess students’ problem-solving performance within the context of CCSSM math content and practices. This project expands the scope of the problem-solving measures use and score interpretation. The project work advances mathematical problem-solving assessments into computer adaptive testing. Computer adaptive testing allows for more precise and efficient targeting of student ability compared to static tests.

Coding is a key part of computer science, and promoting opportunities that engage learners in coding is vital to the U.S. workforce development. This project builds upon prior research that created a free coding app, OctoStudio, which is widely available for use in elementary and secondary schools. The goals of the project are twofold: First, the team will develop and design features that broaden the technology so that it is more accessible for more users. Second, the team will explore the usability of these new features across potential users. The new features will have potential to allow blind and low vision users to meaningfully engage in coding, which ultimately benefits society by broadening the STEM workforce and bringing coding to a greater population of students.

Young children thrive when strong relationships exist between their home and school environments. Early home and school experiences support the development of mathematical skills. Often, schools and teachers struggle to establish these strong relationships; therefore, Math Partners will work with teachers and teaching assistants in classroom design teams to help teachers establish healthy, positive relationships with families that center families’ knowledge and experiences in the context of mathematics.

Teachers of mathematics engage in curricular reasoning as they design and interact with their students, choose curricular materials, and implement curriculum standards in the service of high-quality instruction. Currently, there is no shared measure of curricular reasoning of middle school teacher classroom decision making in mathematics. In this research project, the team develops and validates two measures of middle school teachers’ curricular reasoning in mathematics as practiced. The first measure looks at curriculum reasoning from the perspective of the teacher, the second measure attends to the perspectives of the mathematics education research community.

The purpose of this project is to fully explore the mathematics education literature to synthesize what validity evidence is available for quantitative assessments in mathematics education.