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Physics instructors and education researchers use research-based assessments (RBAs) to evaluate students' preparation for physics courses. This preparation can cover a wide range of constructs including mathematics and physics content. Using separate mathematics and physics RBAs consumes course time. We are developing a new RBA for introductory mechanics as an online test using both computerized adaptive testing and cognitive diagnostic models. This design allows the adaptive RBA to assess mathematics and physics content knowledge within a single assessment. In this article, we used an evidence-centered design framework to inform the extent to which our models of skills students develop in physics courses fit the data from three mathematics RBAs. Our dataset came from the LASSO platform and includes 3,491 responses from the Calculus Concept Assessment, Calculus Concept Inventory, and Pre-calculus Concept Assessment. Our model included five skills: apply vectors, conceptual relationships, algebra, visualizations, and calculus. The "deterministic inputs, noisy 'and' gate'' (DINA) analyses demonstrated a good fit for the five skills. The classification accuracies for the skills were satisfactory. Including items from the three mathematics RBAs in the item bank for the adaptive RBA will provide a flexible assessment of these skills across mathematics and physics content areas that can adapt to instructors' needs. 

The American Physical Society calls on its members to improve the diversity of physics by supporting an inclusive culture that encourages women and Black, Indigenous, and people of color to become physicists. Introductory physics courses provide opportunities for recruiting and retaining diverse students or enacting policies and cultural practices that disproportionately harm students from minoritized groups. Introductory calculus-based electricity and magnetism courses have received far less attention from researchers than introductory mechanics courses. To better understand the role introductory electricity and magnetism courses play in the lack of diversity in physics, we investigated the intersecting relationships between racism and sexism in inequities in student conceptual knowledge using a quantitative critical framework. The analyses used Bayesian hierarchical linear models to examine students' conceptual knowledge as measured by the Conceptual Survey of Electricity and Magnetism. The data came from the LASSO database and included 3,686 students from 83 calculus-based courses at 16 institutions. The model indicated society owed educational debts in conceptual knowledge due to racism, sexism, or both to Black, Hispanic, Asian, and White Hispanic students and White women. Of these groups, society owed the largest educational debts to Black students. The courses, of which almost all used collaborative instruction (81 of 83) supported by learning assistants (66 of 83), added to the educational debts owed to Black students, maintained the debts owed to Hispanic and White Hispanic students and White women, and mitigated the debts owed to Asian students. 

Research-based assessments (RBAs) measure how well a course achieves discipline-specific outcomes. Educators can use outcomes from RBAs to guide instructional choices and to request resources to implement and sustain instructional transformations. One challenge for using RBAs, however, is a lack of comparative data, particularly given the skew in the research literature toward calculus-based courses at highly selective institutions. In this article, we provide a large-scale dataset and several tools educators in introductory physics courses can use to inform how well their courses foster student conceptual understanding of Newtonian physics. The supplemental materials include this dataset and these tools. Educators and administrators will often target courses with high drop, withdrawal, and failure rates for transformations to student-centered instructional strategies. RBAs and the comparative tools presented herein allow educators to address critiques that the course transformations made the courses “easier” by showing that the transformed course supported physics learning compared to similar courses at other institutions. Educators can also use the tools to track course efficacy over time. 

Education researchers often compare performance across race and gender on research-based assessments of physics knowledge to investigate the impacts of racism and sexism on physics student learning. These investigations' claims rely on research-based assessments providing reliable, unbiased measures of student knowledge across social identity groups. We used classical test theory and differential item functioning (DIF) analysis to examine whether the items on the Force Concept Inventory (FCI) provided unbiased data across social identifiers for race, gender, and their intersections. The data was accessed through the Learning About STEM Student Outcomes platform and included responses from 4,848 students posttests in 152 calculus-based introductory physics courses from 16 institutions. The results indicated that the majority of items (22) on the FCI were biased towards a group. These results point to the need for instrument validation to account for item bias and the identification or development of fair research-based assessments. 

Assessments of students’ attitudes and beliefs often rely on questions with rating scales that ask students the extent to which they agree or disagree with a statement. Unlike traditional physics problems with a single correct answer, rating scale questions often have a spectrum of 5 or more responses, none of which are correct. Researchers have found that responses on rating scale items can generally be treated as continuous and that unless there is good evidence to do otherwise, response categories should not be collapsed [1–3]. We discuss two potential reasons for collapsing response categories (lack of use and redundancy) and how to empirically test for them. To illustrate these methods, we use them on the Colorado Learning Attitudes about Science Survey. We found that students used all the response categories on the CLASS but that three of them were potentially redundant. This led us to conclude that the CLASS should be scored on a 5-point or 3-point scale, rather than the 2-point scale recommended by the instrument developers [4]. More broadly, we recommend the judicious use of data manipulations when scoring assessments and retaining all response categories unless there is a strong rational for collapsing them. 

The American Physical Society calls on its members to improve the diversity of physics by sup- porting an inclusive culture that encourages women and people of color to become physicists. Becoming a physicist demands a set of beliefs about what it means to learn and do physics. Rather than physics courses and degree programs supporting students in developing these beliefs, evidence shows that physics education filters out students without sufficient beliefs. To better understand the role of beliefs in the lack of diversity in physics, we investigated the intersectional nature of race/racism and gender/sexism in inequities in student beliefs towards learning and doing physics using a critical quantitative intersectionality framework. The analyses used hierarchical linear models to examine students’ beliefs as measured by the Colorado learning attitudes about science survey. The data came from the LASSO database and included 1248 students in 29 calculus-based mechanics courses. Like prior studies, we found that beliefs either did not change or slightly decreased for most groups. Results identified large differences across intersecting race and gender groups. White students, particularly White men, tended to have more expert-like beliefs than any other group of students. Physics instruction must address these educational debts to move toward an inclusive culture supportive of diverse students and professionals. 

The Learning Assistant (LA) model supports instructors in implementing research-based teaching practices in their own courses. In the LA model undergraduate students are hired to help facilitate research-based collaborative-learning activities. Using the Learning About STEM Student Out- comes (LASSO) database, we examined student learning from 112 first-semester physics courses that used either lecture-based instruction, collaborative instruction without LAs, or LA supported instruction. We measured student learning using 5959 students’ responses on the Force and Motion Conceptual Evaluation (FMCE) or Force Concept Inventory (FCI). Results from Hierarchical Linear Models (HLM) indicated that LA supported courses had higher posttest scores than collaborative courses without LAs and that LA supported courses that used LAs in laboratory and recitation had higher posttest scores than those that used LAs in lecture.