The University of Science and Technology of China.
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A research team led by Academician Guo Guangcan from the University of Science and Technology of China has constructed a theoretical framework of Activation- Construction-Execution-Reflection.
The field of education research on mechanics is growing. The research on quantum physics is seen as just the tip of the iceberg by a winner of the physics prize. The research team led by Academician Guo Guangcan pays close attention to the emerging frontier field.
Two schools are researching physics education. G. Parisi, a winner of the physics prize, values statistics from the perspective of complexity science. C.Wieman is a physicist who values empirical investigation from the perspective of education. The research team from USTC combined the two methods to do research on the thinking framework of students learning bound and scattering state in quantum mechanics. The team has created a theoretical framework of Activation-Construction-Execution-Reflection and a thinking mechanism model based on Overgeneralization.
A circuit network has a lot of machines. These are either connected or disconnected. The percolation threshold will only be reached if the whole circuit network is connected.
The knowledge memory of a student is made up of different parts that represent different parts of the same field of physics. Students need to connect the physical knowledge with the mental knowledge. The students will be able to solve physical problems if they master relevant physical knowledge through a proper relation.
The researchers used the above knowledge model to focus on students' difficulties with solving bound and scattering state problems in quantum mechanics and found an interesting framework in their mind including activation of relevant concepts, construction of differential equations, execution of analytic calculation, and reflection on problem-solving processes. There are three key difficulties that need to be solved: (1) recognizing when the time-dependence of the equation is the appropriate model; (2) selecting a range of energy constants that satisfy the bound or scattering state; and (3) deciding when to use a superposition form of the wave functions. The research findings provide students with a profound understanding of the underlying reasoning mechanisms for quantum physics, and also offer abundant resources to quantum physics instruction. If students get help with the crucial nodes, they will get knowledge from an overall connected perspective instead of a partially connected view. That is the correct mode of learning.
The findings of the study show a new breakthrough in this field and will have significant implications for education research in China.
The students' difficulties with solving bound and scattering state problems in quantum mechanics was reported by Tao Tu et al. There is a book titled "PhysRevPhysEducRes.17.020142."
The University of Science and Technology of China provided the material.
The framework to solve bound and scattering state problems in quantum mechanics education was created in December of 2021.
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