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This paper introduces five commonly used approaches to analyzing multiple-choice test data. They are classical test theory, factor analysis, cluster analysis, item response theory, and model analysis. Brief descriptions of the goals and algorithms of these approaches are provided, together with examples illustrating their applications in physics education research. We minimize mathematics, instead placing emphasis on data interpretation using these approaches.
It is not necessary to obtain permission to reuse thisarticle or its components as it is available under the terms ofthe Creative Commons Attribution 3.0 License.This license permits unrestricted use, distribution, andreproduction in any medium, provided attribution to the author(s) andthe published article's title, journal citation, and DOI aremaintained. Please note that some figures may have been included withpermission from other third parties. It is your responsibility toobtain the proper permission from the rights holder directly forthese figures.
PeerWise is an online application where students are encouraged to generate a bank of multiple choice questions for their classmates to answer. After answering a question, students can provide feedback to the question author about the quality of the question and the question author can respond to this. Student use of, and attitudes to, this online community within PeerWise was investigated in two large first year undergraduate physics courses, across three academic years, to explore how students interact with the system and the extent to which they believe PeerWise to be useful to their learning. Most students recognized that there is value in engaging with PeerWise, and many students engaged deeply with the system, thinking critically about the quality of their submissions and reflecting on feedback provided to them. Students also valued the breadth of topics and level of difficulty offered by the questions, recognized the revision benefits afforded by the resource, and were often willing to contribute to the community by providing additional explanations and engaging in discussion.
It is not necessary to obtain permission to reuse thisarticle or its components as it is available under the terms ofthe Creative Commons Attribution 4.0 International license.This license permits unrestricted use, distribution, andreproduction in any medium, provided attribution to the author(s) andthe published article's title, journal citation, and DOI aremaintained. Please note that some figures may have been included withpermission from other third parties. It is your responsibility toobtain the proper permission from the rights holder directly forthese figures.
The GRE Subject Tests are administered in a computer-delivered format. Total testing time is 2 hours and 50 minutes for the Mathematics Test and 2 hours for the Physics and Psychology Tests. There are no separately timed sections.
Those taking the test should be familiar with certain mathematical methods and their applications in physics. Such mathematical methods include single and multivariate calculus, coordinate systems (rectangular, cylindrical and spherical), vector algebra and vector differential operators, Fourier series, partial differential equations, boundary value problems, matrices and determinants, and functions of complex variables. These methods may appear in the test in the context of various content categories as well as occasional questions concerning only mathematics in the specialized topics category above.
We recommend that for each topic you review, you should do a few practice multiple-choice (and free-response) questions. In the final stage of your exam prep, take a few timed full-length practice exams.
Multiple choice questions are perhaps the easiest to complete - you simply put a cross in a box - however, the questions often have two answers that could, at first glance, be correct. Don't make the mistake of reading the first answer and thinking this is correct without checking all the others.
The AP Physics 1 Exam consists of two sections: a multiple-choice section and a free-response section. The multiple-choice section consists of two question types. Single-select questions are each followed by four possible responses, only one of which is correct. Multi-select questions are a new addition to the AP Physics Exam, and require two of the listed answer choices to be selected to answer the question correctly. There are five multi-select questions that always appear at the end of the multiple-choice section.
Many research-based teaching methods in physics, including Peer Instruction, CAE Think-Pair-Share, Technology-Enhanced Formative Assessment, and teaching with clickers, involve making your class more interactive by asking your students to discuss and answer multiple-choice conceptual questions. One challenge of using these methods is finding and writing good questions. This recommendation helps you find and write questions for your class.
Physics clicker question sequences from Ohio State University (introductory physics) These clicker question sequences were developed and researched by the Ohio State University Physics Education Research Group. Requires a password, which can be obtained via email.
University of Maryland Peer Instruction question database (introductory physics): ConcepTests developed by the Physics Education Research Group at the University of Maryland. Anyone can access these questions.
University of Colorado Concept Test database (physics at all levels) Clicker questions and course materials from a variety of lower division and upper division physics courses at the University of Colorado, Boulder. Most can be downloaded without registering. A few require a password, which can be obtained via email.
The Science Education Initiative Course Archives (physics and many other sciences) A growing collection of course materials from the University of Colorado Science Education Initiative (CU-SEI) and the University of British Columbia Carl Wieman Science Education Initiative (CWSEI). There are numerous clicker questions for Molecular, Cellular, & Developmental Biology and Geological Sciences, as well as clicker questions in some of the other disciplines. The physics materials listed here are the same as those in the University of Colorado Concept Test database, above.
AAAS Science Assessment page (physics and many other sciences) The assessment items on this website can also be used as clicker questions for middle school through intro university; they are designed to test student understanding and common misconceptions in the earth, life, physical sciences, and the nature of science. Anyone can access these questions.
Clicker Questions for use with PhET Interactive Simulations (physics and many other sciences) Browse through this collection of clicker questions by selecting "MC" for Type. These questions are designed to be used with PhET simulations - a collection of free, research-based interactive simulations that can be downloaded or run online, developed by the University of Colorado PhET team. Anyone can access these questions.
SERC concept test examples (mostly geoscience, some other sciences including physics) A collection of concept tests from the SERC Pedagogy in Action site at Carlton. Anyone can access these questions.
Quantum Interactive Learning Tutorials (QuILTs) clicker questions (physics) A collection of research-based materials for teaching quantum mechanics including clicker questions and clicker question sequences.
Center for Astronomy Education's Instructional & Workshop Materials page (astronomy) Scroll down to the section called "Astronomy Assessment and Think-Pair-Share Questions" for a large collection of questions for an introductory astronomy course. The questions listed under "Exam Banks" are all multiple choice questions that serve as good Peer Instruction questions. Anyone can access these questions.
ClassAction Questions and Interactives from the University of Nebraska-Lincoln (astronomy) Over 500 Think-Pair-Share questions for astronomy, most with images and/or animations. Free access, answers provided in auto-feedback feature. Site also has robust set of accompanying labs and interactives.
Chemistry ConcepTests from the University of Wisconsin (chemistry) For General, Organic, Analytical, Inorganic, Physical, and Biochemistry. Also includes explanations on how to use them effectively, and experiences of educators. Anyone can access these questions.
Question resource list from Project MathQUEST at Carroll College (math and statistics) Links to question collections for many college/university level math and statistics courses, links to publications on classroom voting in mathematics, and links to clicker companies.
Good questions are a crucial component of Peer Instruction. Most instructors use some combination of using questions that others have written and writing their own. Here are some suggestions for writing your own:
Multiple choice questions feature very heavily in IB Physics, particularly in the final IB Physics exams, where Paper 1A is devoted to multiple choice questions. It is also highly likely that throughout your course, your teacher will give you multiple choice questions. They'll do that for a number of reasons, to help assess your skill and your understanding of the course AND because they are really easy for physics teachers to mark!
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