## UMD PERG PhD Dissertations: Lei Bao |

In part I, a model-based theoretical framework is proposed. Based on the theory, a mathematical representation and a set of data analysis algorithms are developed. This new method is called

Based n the theory and algorithms developed in part I, research is conducted to investigate student understandings of quantum mechanics. Common student models on classical prerequisites and important quantum concepts are identified. For exampled, many students interpret the quantum wavefunction as the representation of the energy of a particle. Based on the research results, multiple-choice instruments are developed to probe student models analysis algorithms. A set of quantum tutorials are also developed and implemented instruction. Results from exams and student interviews indicate that the quantum tutorials are effective.

Title Page

First Page

Chapter 1 | Physics Education: the Physics of Education in Education of Physics |

Chapter 2 | Student Models of Physics |

Chapter 3 | Model Analysis Algorithms I: The Concentration Factor |

Chapter 4 | Model Analysis Algorithms II: Model Estimation |

Chapter 5 | Refinements and Extensions |

Chapter 6 | Model-Based Research on Student Difficulties with Quantum Mechanics |

Chapter 7 | Refinements and Extensions |

Chapter 8 | Studen Mental Models of Quantum Mechanics |

Chapter 9 | Summary and Speculations |

Appendix A | FCI and FMCE test |

Appendix B | Supplemental Calculations and Simulations for the Concentration Factor |

Appendix C | Supplemental Calculations for Model Evaluations and A New Multiple-Choice Instrument on Newton III with Isolated Physical Features |

Appendix D | Questions to Prove the Student Understandings on Classical Pre-requisites of Quantum Mechanics |

Appendix E | Quantum Tutorials |

Bibliography |

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Last modified 11 June 2002