Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 1609.00018

Can Free-Response Questions Be Approximated by Multiple-Choice Equivalents?

Shih-Yin Lin·Chandralekha Singh
View original source ↗Read source document ↗Export metadata ↓

Abstract

We discuss a study to evaluate the extent to which free-response questions can be approximated by multiple-choice equivalents. Two carefully designed research-based multiple-choice questions were transformed into a free-response format and administered on the final exam in a calculus-based introductory physics course. The original multiple-choice questions were administered in another, similar introductory physics course on the final exam. Our findings suggest that carefully designed multiple-choice questions can reflect the relative performance on the free-response questions while maintaining the benefits of ease of grading and quantitative analysis, especially if the different choices in the multiple-choice questions are weighted to reflect the different levels of understanding that students display.

Explore related subjects

physics.ed-ph

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Shih-Yin Lin, Chandralekha Singh. 2016-02-20. Can Free-Response Questions Be Approximated by Multiple-Choice Equivalents?. https://doi.org/10.1119/1.4804194

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Addressing misconceptions in university physics: A review and experiences from quantum physics educators

Students often begin physics courses with misconceptions rooted in everyday experience and intuition, which can be resistant to change. While research has identified strategies for addressing misconceptions across physics, it remains unclear whether different domains, like classical and quantum physics, require different approaches. Quantum concepts can pose different representational and mathematical demands, while both domains require instructors to elicit and develop students' reasoning. To support discussion of these instructional challenges, we organize selected literature on addressing misconceptions in physics education and summarize instructors' accounts. The overview groups 122 distinct works into four categories, with further subcategories. A preliminary framework developed from existing review literature informed the interview guide. We interviewed 12 instructors from the University of Waterloo's Institute for Quantum Computing and the Perimeter Institute, who have collectively taught over 100 quantum courses. The accounts describe difficulties involving instructional representations, prerequisite knowledge, and the interpretation of students' reasoning, alongside reported diagnostic and instructional responses. We draw these accounts and the literature together as questions for instructional planning. The report does not resolve the intended classical--quantum comparison or establish comparative instructional effectiveness.

physics.ed-ph↗
arXiv2026

Johann Bernoulli's analysis of elastic collisions (a teaching sequence to introduce the dynamic law thereby inspired)

In order to explain an elastic collision, Johann Bernoulli considered two bodies connected by a spring. Motion is defined as a succession of states of rest. Then, considering the spring to be a lever with a body at each extremity, the laws of equilibrium imply that `motion' is described by the time variation of the (common) quantity of motion of the bodies; the dynamic law is thus deduced. This inspires a teaching sequence to introduce the dynamic law (in one dimension) in introductory physics course; we call it ``bernoullian sequence''.

physics.ed-ph↗
arXiv2026

Design and Initial Evaluation of a Photovoltaics-focused Course-based Undergraduate Research Experience in Physics

Traditional physics laboratory courses often focus on experiments with well-known results, limiting students' engagement in authentic scientific practices. Course-based undergraduate research experiences (CUREs), where students engage in real research with unknown outcomes, have been shown to support positive student outcomes, such as increased self-efficacy, persistence, and engagement in scientific practices. However, discipline-specific studies of CUREs in physics remain limited. We describe the development, structure, and initial implementation of a photovoltaics-focused CURE in a second-year undergraduate physics laboratory course at the University of Colorado Boulder. To examine how students experienced the course, we analyzed end-of-semester reflection assignments using the five CURE components (i.e., scientific practices, discovery, relevance, collaboration, and iteration), as well as established dimensions of research authenticity, as analytic frameworks. Students described experiences associated with all five CURE components, with collaboration, relevance, and scientific practices appearing most prominently in their reflections. Students also associated authentic research with meaningful scientific contribution, engagement in authentic scientific practices, and navigating the uncertainty and setbacks inherent in research, although fewer explicitly identified themselves as researchers or scientists. A subset of students additionally connected the course to their immediate thinking about future academic and professional pathways. This work contributes both a discipline-specific model for implementing CUREs in experimental physics laboratory courses and provides insight into how students interpret and experience authentic research within this course context.

physics.ed-ph↗