Developed by Pablo Barniol and Genaro Zavala
|Purpose||To assess students’ understanding of vector concepts in problems without a physical context.|
|Focus||Mathematics Content knowledge (magnitude, direction, components, unit vector, addition, subtraction, multiplication, dot and cross product)|
Sample questions from the TUV:
This is the second highest level of research validation, corresponding to at least 5 of the validation categories below.
Research Validation Summary
Based on Research Into:
- Student thinking
- Student interviews
- Expert review
- Appropriate statistical analysis
- At multiple institutions
- By multiple research groups
- Peer-reviewed publication
The multiple-choice questions on the TUV were developed based on student thinking about vectors collected using open-ended questions. Students’ responses to these questions were used to create the answer choices. This initial set of questions was reviewed by experts, tested with students and revised. Statistical analyses of reliability, difficulty and discrimination were conducted and reasonable values found. The TUV has been given to about 3000 students at four institutions and results published in 3 peer-reviewed papers. There are several other peer-reviewed papers by the developers where they studied vector concepts.
- P. Barniol, Students' difficulties with unit vectors and scalar multiplication of a vector, presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011.
- P. Barniol and G. Zavala, Vector Addition: Effect of the Context and Position of the Vectors, presented at the Physics Education Research Conference 2010, Portland, Oregon, 2010.
- P. Barniol and G. Zavala, Testing Students’ Understanding of Vector Concepts, presented at the Physics Education Research Conference 2013, Portland, OR, 2013.
- P. Barniol and G. Zavala, Test of understanding of vectors: A reliable multiple-choice vector concept test, Phys. Rev. ST Phys. Educ. Res. 10 (1), 010121 (2014).
- P. Barniol and G. Zavala, Investigation of Students’ Preconceptions and Difficulties with the Vector Direction Concept at a Mexican University, presented at the Physics Education Research Conference 2009, Ann Arbor, Michigan, 2009.
- G. Zavala and P. Barniol, Students’ Understanding of the Concepts of Vector Components and Vector Products, presented at the Physics Education Research Conference 2010, Portland, Oregon, 2010.
- G. Zavala and P. Barniol, A Detailed Analysis of Isomorphic Problems: The Case of Vector Problems, presented at the Physics Education Research Conference 2013, Portland, OR, 2013.
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|Spanish||Pablo Barniol and Genaro Zavala|
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Typical Results from Barniol and Zavala 2013:
The average score among a sample of 423 students who took the test in English in a calculus-based introductory electricity and magnetism course at a large private Mexican university was 13.52 of 20 points, or 68%.
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The latest version of the TUV, released in 2014, is version 1.