vi TABLE OF CONTENTS CHAPTER 1 AN INTRODUCTION TO THIS INVESTIGATION 1.1 INTRODUCTION 1.2 WHAT IS QUANTUM MECHANICS? 1.3 IMPORTANCE OF TEACHING QUANTUM MECHANICS 1.4 RESEARCH QUESTIONS 1.5 LAYOUT OF THE THESIS 1 1 1 2 6 7 8 CHAPTER 2 QUANTUM MECHANICS LITERATURE REVIEW 2.1 INTRODUCTION 2.2 CHEMISTRY RELATED 2.2.1 Chemistry – History & Teaching of Ideas and Concepts Papers 2.2.2 Chemistry – Education Research Papers 2.2.3 Chemistry – Papers 2.3 PHYSICS RELATED 2.3.2 Physics – History, Philosophy and Interpretation of Quantum Mechanics 2.3.3 Physics – Teaching of Specific Concepts 2.3.4 Physics – Teaching Materials 2.3.5 Physics – Education Research 2.4 IN RELATION TO CURRENT INVESTIGATION 11 11 11 11 12 13 14 15 16 16 18 18 21 CHAPTER 3 THE DEVELOPMENT OF A RESEARCH PLAN 3.1 INTRODUCTION 3.2 EDUCATIONAL ENVIRONMENT 3.3 RESEARCH SETTING 3.3.1 The School of Physics Description of Junior Physics Courses Description of Intermediate Physics Courses Description of Senior Physics Courses 3.3.2 The School of Chemistry Description of Junior Chemistry Courses Description of Intermediate and Senior Chemistry Courses 3.4 A PRELIMINARY RESEARCH PLAN 3.5 METHODOLOGICAL AND PHILOSOPHICAL PERSPECTIVES 3.5.1 Foundations for Selecting Appropriate Educational Research Methodologies Ontology Epistemology Human nature Methodology 3.6 SELECTING RESEARCH TOOLS 3.6.1 Grounded Theory Approach – Stage 1 Selection Criteria Developing Theoretical Sensitivity Data Collection Theoretical Sampling Data Analysis Open Coding Axial Coding Selective Coding 23 23 23 23 26 27 27 28 30 30 31 31 32 34 34 34 35 35 35 37 37 38 38 38 39 39 39 39 40 vii 3.6.2 3.6.3 3.6.4 3.6.5 3.7 Phenomenological Approach – Stage 2 40 Phenomenographic Influence – Capturing Variation 42 Interview Protocol 43 Triangulation 48 Time Triangulation 48 Combined Levels Triangulation 48 Methodological Triangulation 48 MAPPING APPROPRIATE METHODOLOGIES, PERSPECTIVES AND RESEARCH TOOLS TO THE FINAL RESEARCH PLAN 49 CHAPTER 4 DEVELOPMENT OF RESEARCH QUESTIONS : GROUNDED THEORY APPROACH 4.1 INTRODUCTION 4.2 SOURCES OF GROUNDED DATA 4.2.1 Concept Maps 4.2.2 Expert Group Discussions/Interviews The Expert Focus Group Discussion The Individual Expert Interviews 4.2.3 Examination Scripts First Year examination Scripts de Broglie Terminology Application of Quantised Energy Heisenberg’s Uncertainty Principle Second Year Examination Scripts de Broglie Compton Scattering Tunnelling Wells 4.2.4 Preliminary Interviews 4.2.5 Analysis of Data Collected Analogies Assessment Computer Simulations Course structure Difficulties Duality Mathematics Potential EnergyDiagrams Real World Reflective Thoughts Tunnelling Role of Chemistry Student Interviews 4.3 DEVELOPMENT OF THE FINAL INTERVIEW INSTRUMENT 4.3.1 Categories Brought Forward from the Grounded Study 4.3.2 Selective Coding 4.3.3 Sequencing Topics Opening Close Body 4.4 FINAL INTERVIEW INSTRUMENT 54 54 54 54 55 58 58 59 61 62 62 62 63 63 63 63 64 64 65 66 66 69 69 69 69 70 70 71 71 72 72 72 72 74 74 76 76 76 77 78 82 viii CHAPTER 5 83 IN SEARCH OF UNDERLYING THEMES : PHENOMENOLOGICAL APPROACH 83 5.1 INTRODUCTION 83 5.2 INTERVIEW PROTOCOL 83 5.3 DESCRIPTION OF CODING 84 5.4 INITIAL CODING OF INTERVIEWS 87 5.4.1 Description of Coding 89 Personal Log Coding 89 Inherent Meaning Coding 89 Identification of Important Statements Coding 90 Analytical Log Coding 90 Post Interview Follow-up Meeting 91 5.4.2 Description of Rationalising and Grouping Main Points 92 Scheme Grouping 93 Analytical Log Grouping 94 Key Feature Grouping 94 5.4.3 Theme Identification 95 Familiarisation of the research team with the dataset 95 Identification Process 96 Identified Themes and Associated Research Questions 97 5.5 IN-DEPTH CATEGORISATION - IN TERMS OF THE FIVE THEMES 97 5.5.1 In-depth Coding Procedure 98 5.6 RESULTS SUMMARY OF EXHAUSTIVE DESCRIPTION AND FUNDAMENTAL STRUCTURE ANALYSIS 99 CHAPTER 6 102 THE RESULTS 102 6.1 BACKGROUND DETAILS 102 6.2 PRESENTATION OF RESULTS 103 6.2.1 Theme 1: Types of Students (columns 1-4) 103 6.2.2 Theme 2: Entities (columns 5-13) 103 6.2.3 Theme 3: Potential Diagrams (columns 14 – 96) 105 6.2.3.1 Drawing Diagrams (columns 14-21) 106 6.2.3.2 Associated Terminology (columns 22-48) 106 6.2.3.3 Application of the Diagrams (columns 49-56) 107 6.2.3.4 Classical Understanding of the Diagrams (columns 57-75) 108 6.2.3.5 Interpretation of an Unfamiliar Diagram (column 69-75) 108 6.2.3.6 Overall on Student Understanding of Potential Diagrams (columns 76-96) 109 6.2.4 Theme 4: Contextualisation (columns 97-231 and 254-280) 109 6.2.4.1 Analogies (columns 97-168) 109 6.2.4.2 Context (examining the context in which specific content is discussed) (columns 169-203) 111 6.2.4.3 Application (Radioactive decay c. 204-231 & Name three things c. 254-279) 113 6.2.5 Theme 5: Difficulties (columns 232-253) 114 6.2.5.1 Analogy Related Difficulties (columns 232-234) 114 6.2.5.2 Context Related Difficulties (columns 235-237) 115 6.2.5.3 Mathematical Related Difficulties (columns 238-240) 115 6.2.5.4 Delivery Related Difficulties (columns 241-243) 115 6.2.5.5 Content Related Difficulties (column 244-245) 115 6.2.5.6 Lecturers thoughts on Difficulties 116 ix CHAPTER 7 118 IMPLICATIONS FOR TEACHING AND LEARNING 118 7.1 REVISITING THE AIMS 118 7.2 MAPPING THE THEMES ONTO A COMMON FRAMEWORK 118 7.3 DISCUSSION 121 7.3.1 Features of Interest 121 7.3.2 Attitudinal Components 122 7.4 IMPLICATIONS FOR TEACHING AND LEARNING 122 7.4.1 To Isolate Key Concepts 122 7.4.2 To Identify Learning Difficulties 123 7.4.3 To Identify Teaching Difficulties 123 7.4.4 To Provide both Teachers and Curriculum Developers with a Useful Resource to Assist Them in Making Informed Decisions 125 7.5 FUTURE RESEARCH 125 Map Related 125 Link Related 126 Analogy Related 126 Appendicies APPENDIX 1 HUMAN ETHICS APPROVAL AND DOCUMENTATION A1-1 A1-1 APPENDIX 2 GROUNDED THEORY INVESTIGATION – STAGE 1 A2.1 CONCEPT MAP RESULTS AND ANALYSIS A2.1.1 Concept Mapping Exercise A2.1.2 Results - Concept Map Structures Structural and Nodal Analysis Summary of Results from Structural and Nodal Analysis Other Interesting Features that Emerged from the Concept Maps Summary of Results from Concept Map Analysis A2.1.3 Results Carried Forward – Concept Maps A2.1.4 Concept Mapping Data Sets A2.2 EXPERT GROUP DISCUSSIONS/INTERVIEWS RESULTS AND ANALYSIS The Expert Focus Group Discussion The Individual Expert Interviews Results – Expert Group Discussions/Interviews Teaching Approaches Key Concepts Assessment Perceived Difficulties Maths Analogies Computer Simulations Experiments A2.2.2 Results Carried Forward – Expert Discussions/Interviews A2.3 EXAMINATION SCRIPT RESULTS AND ANALYSIS First Year – Question 9 Observed features First Year – Question 10 Observed Features First Year – Question 11 Observed Features Second Year – Question A1 Observed Features A2-11 A2-11 A2-12 A2-12 A2-15 A2-15 A2-18 A2-18 A2-19 A2-19 A2-20 A2-23 A2-23 A2-24 A2-27 A2-29 A2-29 A2-30 A2-31 A2-31 A2-33 A2-33 A2-34 A2-34 A2-36 A2-38 A2-38 A2-39 A2-39 A2-40 A2-40 A2-42 A2-42 x A2.4 A2.5 A2.6 Second Year – Question B1 Observed Features Second Year – Question A2 Observed Features A2.3.2 Results Carried Forward – Examination Scripts A2.3.3 Examination Script Data Sets PRELIMINARY INTERVIEWS RESULTS AND ANALYSIS A2.4.1 Analysis of Data Collected A2.4.2 Coding and Results Analogies Assessment Computer Simulations Course structure Difficulties Duality Mathematics Potential EnergyDiagrams Real World Reflective Thoughts Tunnelling A2.4.3 Results Carried Forward – Preliminary Interviews A2.4.4 Chemistry Interviews DEVELOPMENT OF THE FINAL INTERVIEW INSTRUMENT A2.5.1 Constraints of the Protocol A2.5.2 Categories Brought Forward from the Grounded Study A2.5.3 Selective Coding A2.5.4 Sequencing Topics Opening Close Body ASSOCIATED LITERATURE REVIEWS A2.6.1 Concept Mapping Concept mapping - Educational research Concept mapping - Teaching Concept mapping - Assessment A2-44 A2-44 A2-45 A2-45 A2-46 A2-46 A2-73 A2-73 A2-92 A2-92 A2-92 A2-92 A2-92 A2-93 A2-93 A2-94 A2-94 A2-95 A2-95 A2-95 A2-95 A2-96 A2-97 A2-97 A2-97 A2-99 A2-100 A2-100 A2-101 A2-102 A2-107 A2-107 A2-107 A2-108 A2-109 APPENDIX 3 GROUNDED THEORY GUIDE INTERVIEW QUESTIONS A3-110 A3-110 APPENDIX 4 EXAMPLE INTERVIEW AND ANALYSIS DATASET A4-113 A4-113 APPENDIX 5 A5-129 RESULTS SUMMARY FOR THE EXHAUSTIVE DESCRIPTION AND FUNDAMENTAL STRUCTURE ANALYSIS A5-129 APPENDIX 6 IN-DEPTH CATEGORISATION – TABULATED SPREADSHEET DATASET A6-133 A6-133 xi APPENDIX 7 DATA SET COMPLETE WITH CATEGORY DESCRIPTIONS AND REPRESENTATIVE STUDENT RESPONSES A7.1 Theme - Types of Students A7.2 Theme - Entity A7.3 Theme – Potential Wells and Barriers A7.3.1 Drawing the diagrams A7.3.2 Wells/Barriers Associated Terminology A7.3.3 Application of these diagrams (wells and barriers) A7.3.4 Understanding of the potential well diagram from a classical perspective A7.3.5 Interpretation of an Unfamiliar Potential Diagram A7.3.6 Overall Understanding of Potential Diagrams A7.4 Theme – Contextualising A7.4.1 Analogies - List of Analogies (with attitudinal dimensions) A7.4.2 Analogies - Attitude to Analogies (Generally) A7.4.3 Context - List of Key Ideas/Concepts for teaching A7.4.4 Context – List of Key Experiments A7.4.5 Application of Knowledge - List for Radioactive Decay A7.5 Theme – Difficulties A7-150 APPENDIX 8 QUANTUM CHEMISTRY LITERATURE REVIEW A8.1 QUANTUM CHEMISTRY – HISTORY A8.2 QUANTUM CHEMISTRY – TEACHING CONCEPTS Interpretations Bonding & Structure Atoms Orbitals Mathematics Specific A8.3 QUANTUM CHEMISTRY – LECTURE DEMONSTRATIONS & LABORATORY Demonstrations Laboratory A8.4 QUANTUM CHEMISTRY – COMPUTATIONAL IDEAS Curriculum Changes & Delivery Software Programs Wave Function Software Atomic Structure & Orbital Programs Web A8.5 QUANTUM CHEMISTRY – TEXT BOOK DISCUSSION Book Reviews A8.6 QUANTUM CHEMISTRY – EDUCATION RESEARCH A8-223 A8-223 A8-224 A8-224 A8-224 A8-225 A8-225 A8-226 A8-226 A8-227 A8-229 A8-229 A8-230 A8-230 A8-230 A8-231 A8-231 A8-232 A8-233 A8-233 A8-233 A8-233 A7-150 A7-151 A7-153 A7-156 A7-157 A7-161 A7-170 A7-172 A7-176 A7-177 A7-183 A7-184 A7-200 A7-211 A7-213 A7-214 A7-217 APPENDIX 9 A9-235 QUANTUM PHYSICS LITERATURE REVIEW A9-235 A9.1 QUANTUM PHYSICS – HISTORY A9-236 A9.2 QUANTUM PHYSICS – PHILOSOPHY & INTERPRETATION A9-237 A9.3 QUANTUM PHYSICS – TEACHING CONCEPTS A9-239 A9.4 QUANTUM MECHANICS – LECTURE DEMONSTRATIONS & LABORATORY A9-243 A9.5 QUANTUM PHYSICS – TESTS A9-244 A9.6 QUANTUM PHYSICS – COMPUTATIONAL A9-244 A9.7 QUANTUM PHYSICS – COURSE MATERIAL A9-246 A9.8 QUANTUM PHYSICS – COURSES AND COMMENTS A9-246 A9.9 QUANTUM PHYSICS – TEXTBOOK REVIEW A9-247 A9.10 QUANTUM PHYSICS – EDUCATION RESEARCH A9-247 xii A9.11 A9.12 QUANTUM MECHANICS EDUCATION RESEARCH – DEDICATED CONFERENCES A9-250 RELATED EDUCATION RESEARCH ON WAVES A9-251 APPENDIX 10 A10-252 CONCEPTUAL CHANGE, ANALOGIES, AND PHENOMENOGRAPHIC LITERATURE REVIEWS A10-252 A10.1 CONCEPTUAL CHANGE A10-253 Theory & Discussion A10-253 Physics Related Research A10-253 Science & Physics Perspective A10-253 A10.2 ANALOGIES A10-254 General Theory and Discussion A10-254 General Teaching & Research A10-255 Science Teaching & Research A10-255 Chemistry Teaching & Research A10-256 Physics Teaching & Research A10-257 A10.3 PHENOMENOGRAPHY A10-258 Theory, Debate & Discussion A10-258 Research A10-259 Related A10-260 xiii LIST OF FIGURES Figure 3-1 : Figure 4-1 : Figure 4-2 : Figure 4-3 : Figure 5-1 : Figure 5-2 : Figure 5-3 : Figure 5-4 : Figure 7-1 : Figure 7-2 : Example page from preliminary interview transcript showing layout 47 Copy of Student Concept Map (Student ID 21). This map shows the “wheel linked to another wheel” structural type. Reduced from original A3 with the labels and header instructions cropped (Please refer to Appendix 2, Figures A2-1 through A2-4 for details of the complete concept mapping exercise) 56 Representative Preliminary Interview Transcript – TED Page 1 Cover Page 67 Representative Preliminary Interview Transcript – TED Page 4 67 Representative Interview Transcript Document – Cover Page 88 Representative Interview Transcript Document – Transcript Page. Please refer to Table A4-1 in Appendix 4 for coding details 88 Representative Interview Transcript Document – Grouped Analytical Log Coding Page 92 Representative Interview Transcript Document – Inherent Coding Attitudinal Learning Matrix Page 93 A diagrammatic representation of the framework showing the relationship between the three identified areas underpinning the discipline of quantum mechanics 119 Schematic overview of the first four themes mapped over the three areas of the disciplines framework 120 Appendicies Figure A2-1 : Figure A2-2 : Figure A2-3 : Figure A2-4 : Figure A2-5 : Figure A2-6 : Figure A2-7 : Figure A2-8 : Figure A2-9 : Figure A2-10 : Figure A2-11 : Figure A2-12 : Figure A2-13 : Figure A2-14 : Figure A2-15 : Figure A2-16 : Figure A2-17 : Figure A2-18 : Figure A2-19 : Figure A2-20 : Figure A2-21 : Figure A2-22 : Figure A2-23 : Figure A4-1 : Figure A4-2 : Concept Map Instruction Sheet (Printed A4 Portrait) A2-13 Example “Newtonian Concept Map” provided with Concept Map Instruction Sheet (Printed A4 Landscape on reverse) A2-13 Concept Map Cover Sheet (Printed A4 Portrait) A2-14 Concept Map Answer Sheet (Printed A3 Landscape) A2-14 Copy of Student Concept Map (Student ID 21). This map shows the “wheel linked to another wheel” structural type. (Reduced from original A3 with the labels and header instructions cropped (Refer to Figure A2-4)) A2-15 Focus Group Discussion Points A2-24 Physics Lecturer Guide Interview Questions A2-25 Chemistry Lecturer Guide Interview Questions A2-27 Examination Script – First Year Question 9 A2-38 Examination Script – First Year Question 10 A2-39 Examination Script – First Year Question 11 A2-40 Examination Script – Second Year Question A1 A2-42 Examination Script – Second Year Question B1 A2-44 Examination Script – Second Year A2 A2-45 Representative Preliminary Interview Transcript – TED Page 1 Cover Page (1 of 9) A2-74 Representative Preliminary Interview Transcript – TED Page 2 (2 of 9) A2-75 Representative Preliminary Interview Transcript – TED Page 3 (3 of 9) A2-76 Representative Preliminary Interview Transcript – TED Page 4 (4 of 9) A2-77 Representative Preliminary Interview Transcript – TED Page 5 (5 of 9) A2-78 Representative Preliminary Interview Transcript – TED Page 6 (6 of 9) A2-79 Representative Preliminary Interview Transcript – TED Page 29 (7 of 9) A2-80 Representative Preliminary Interview Transcript – TED Page 30 (8 of 9) A2-81 Representative Preliminary Interview Transcript – TED Page 31 (9 of 9) A2-82 Transcript Cover Page – which includes the Key Feature Grouping A4-114 Transcript Grouped Analytical Log Coding Page A4-115 xiv Figure A4-3 : Figure A4-4 : Figure A4-5 : Transcript page – which includes the Personal Log, Inherent Meaning Coding and Analytical Log A4-116 Transcript Inherent Meaning Coding Attitudinal Learning Matrix Page A4-117 Transcript Sorted List Inherent Meaning Coding A4-118 xv LIST OF TABLES Table 3-1 : Table 3-2 : Table 3-3 : Table 3-4 : Table 4-1 : Table 4-2 : Table 4-3 : Table 4-4 : Table 4-5 : Table 4-6 : Table 5-1 : Table 5-2 : Table 5-3 : Table 5-4 : Table 5-5 : Preliminary Research Project Plan 33 Description of Interview Question Types 44 Research Project Plan – Stage 1 50 Research Project Plan – Stage 2 51 Concept Map Structural Types and Results Summary (n=67) 57 Interview Themes 76 Interview Topics 77 Interview Closure Topics 78 Interview Body Topics 79 Structure of the Final Interview Instrument 81 Colaizzi’s seven steps of phenomenological analysis mapped against the coding and analysis steps employed in this study 87 Summary of the five identified themes and their associated research questions. 97 Outline of the results of the exhaustive description and the fundamental analysis process for each theme - 1 and 2 (Table 1 of 3) 99 Outline of the results of the exhaustive description and the fundamental analysis process for each theme - 3 and 4 (Table 2 of 3) 100 Outline of the results of the exhaustive description and the fundamental analysis process for theme - 5 (Table 3 of 3) 101 Appendicies Table A2-1 : Table A2-2 : Table A2-3 : Table A2-4 : Table A2-5 : Table A2-6 : Table A2-7 : Table A2-8 : Table A2-9 : Table A2-10 : Table A2-11 : Table A2-12 : Table A2-13 : Table A2-14 : Table A2-15 : Table A2-16 : Table A2-17 : Table A2-18 : Table A2-19 : Table A2-20 : Table A2-21 : Table A2-22 : Table A2-23 : Table A2-24 : Table A2-25 : Table A2-26 : Table A2-27 : Concept Map Structural Types and Results Summary A2-17 Maps with two or more links to ‘Uncertainty Principle’ A2-19 Concept Map Coding – Linking and Map Structures (1of 2) A2-21 Concept Map Coding – Primary Nodes within Wheel, Complex and Hierarchical Structures (2 of 2) A2-22 Expert Interview/Group Discussions - The depth of response against each identified category A2-28 Expert Group - Key concepts identified by lecturers A2-30 Expert Group – Difficulties Identified by the 18 lecturers A2-32 Examination Script – Questions selected for analysis A2-36 Examination Script Coding - First Year Question 9 (1 of 2) A2-47 Examination Script Coding - First Year Question 9 (2 of 2) A2-48 Examination Script Coding - First Year Question 10 (1 of 5) A2-49 Examination Script Coding - First Year Question 10 (2 of 5) A2-50 Examination Script Coding - First Year Question 10 (3 of 5) A2-51 Examination Script Coding - First Year Question 10 (4 of 5) A2-52 Examination Script Coding - First Year Question 10 (5 of 5) A2-53 Examination Script Coding - First Year Question 11 (1 of 4) A2-54 Examination Script Coding - First Year Question 11 (2 of 4) A2-55 Examination Script Coding - First Year Question 11 (3 of 4) A2-56 Examination Script Coding - First Year Question 11 (4 of 4) A2-57 Examination Script Coding - Second Year Advanced Question B1 (1 of 6) A2-58 Examination Script Coding - Second Year Advanced Question B1 (2 of 6) A2-59 Examination Script Coding - Second Year Advanced Question B1 (3 of 6) A2-60 Examination Script Coding - Second Year Advanced Question B1 (4 of 6) A2-61 Examination Script Coding - Second Year Advanced Question B1 (5 of 6) A2-62 Examination Script Coding - Second Year Advanced Question B1 (6 of 6) A2-63 Examination Script Coding - Second Year Question A1 (1 of 8) A2-64 Examination Script Coding - Second Year Question A1 (2 of 8) A2-65 xvi Table A2-28 : Table A2-29 : Table A2-30 : Table A2-31 : Table A2-32 : Table A2-33 : Table A2-34 : Table A2-35 : Table A2-36 : Table A2-37 : Table A2-38 : Table A2-39 : Table A4-1 : Table A4-2 : Table A4-3 : Table A4-4 : Table A4-5 : Table A4-6 : Table A4-7 : Table A4-8 : Table A4-9 : Table A5-1 : Table A5-2 : Table A5-3 : Table A7-1 : Table A7-2 : Table A7-3 : Table A7-4 : Table A7-5 : Table A7-6 : Table A7-7 : Table A7-8 : Table A7-9 : Table A7-10 : Table A7-11 : Table A7-12 : Examination Script Coding - Second Year Question A1 (3 of 8) A2-66 Examination Script Coding - Second Year Question A1 (4 of 8) A2-67 Examination Script Coding - Second Year Question A1 (5 of 8) A2-68 Examination Script Coding - Second Year Question A1 (6 of 8) A2-69 Examination Script Coding - Second Year Question A1 (7 of 8) A2-70 Examination Script Coding - Second Year Question A1 (8 of 8) A2-71 Examination Script Coding - Second Year Question A2 (1 of 1) A2-72 Interview Themes A2-100 Interview Topics A2-101 Interview Closure Topics A2-102 Interview Body Topics A2-104 Structure of the Final Interview Instrument A2-106 Columns 4 through 10 of the interview transcript were reserved for recording these codes. The seven columns formed a data record and each column stored a field. A4-119 Inherent Meaning General Coding Dataset for the Double Slit Experiment and Wave Particle Duality Topics (Table 1 of 8) A4-120 Inherent Meaning General Coding Dataset for the Topic Uncertainty (Table 2 of 8) A4-121 Inherent Meaning General Coding Dataset for the Topic Explain in terms of Quantum Mechanics (Table 3 of 8) A4-122 Inherent Meaning General Coding Dataset for the Topic Quantaroo - the Quantum Kangaroo (Table 4 of 8) A4-123 Inherent Meaning General Coding Dataset for the Topic Difficulties Learning and Teaching (Table 5 of 8) A4-124 Inherent Meaning General Coding Dataset for the Topic Difficulties Learning and Teaching (Table 6 of 8) A4-125 Inherent Meaning General Coding Dataset for the Topic Difficulties Learning and Teaching (Table 7 of 8) A4-126 Inherent Meaning General Coding Dataset for the Topic Advise new lecturer (Table 8 of 8) A4-127 Outline of the results of the exhaustive description and the fundamental analysis process for each theme - 1 and 2 (Table 1 of 3) A5-130 Outline of the results of the exhaustive description and the fundamental analysis process for each theme - 3 and 4 (Table 2 of 3) A5-131 Outline of the results of the exhaustive description and the fundamental analysis process for theme - 5 (Table 3 of 3) A5-132 Theme Types of Students, Profile of Students representative responses A7-152 Theme Types of Students, Profile of Students percentage matrix A7-152 Theme Entity representative responses A7-154 Theme Entity percentage matrix A7-155 Theme Potential Diagrams, Potential Well Features Presented representative responses A7-157 Theme Potential Diagrams, Potential Well Features Presented percentage matrix A7-158 Theme Potential Diagrams, Barrier Features Presented representative responses A7-159 Theme Potential Diagrams, Barrier Features Presented percentage matrix A7-160 Theme Potential Diagrams, Associated Terminology, Origin – Eigen States representative responses A7-161 Theme Potential Diagrams, Associated Terminology, Origin – Eigen States percentage matrix A7-161 Theme Potential Diagrams, Associated Terminology, Origin – Energy Quantisation representative responses A7-162 Theme Potential Diagrams, Associated Terminology, Origin – Energy Quantisation percentage matrix A7-162 xvii Table A7-13 : Table A7-14 : Table A7-15 Table A7-16 : Table A7-17 : Table A7-18 : Table A7-19 : Table A7-20 : Table A7-21 : Table A7-22 : Table A7-23 : Table A7-24 : Table A7-25 : Table A7-26 : Table A7-27 : Table A7-28 : Table A7-29 : Table A7-30 : Table A7-31 : Table A7-32 : Table A7-33 : Table A7-34 : Table A7-35 : Table A7-36 : Table A7-37 : Table A7-38 : Table A7-39 : Table A7-40 : Theme Potential Diagrams, Associated Terminology, Origin – Wave Function representative responses A7-163 Theme Potential Diagrams, Associated Terminology, Origin – Wave Function percentage matrix A7-164 Theme Potential Diagrams, Associated Terminology, Origin – Probability Distribution representative responses A7-165 Theme Potential Diagrams, Associated Terminology, Origin – Probability Distribution percentage matrix A7-165 Theme Potential Diagrams, Associated Terminology, Meaning – Eigen States representative responses A7-166 Theme Potential Diagrams, Associated Terminology, Meaning – Eigen States percentage matrix A7-166 Theme Potential Diagrams, Associated Terminology, Meaning – Energy Quantisation representative responses A7-167 Theme Potential Diagrams, Associated Terminology, Meaning – Energy Quantisation percentage matrix A7-167 Theme Potential Diagrams, Associated Terminology, Meaning – Wave Function representative responses A7-168 Theme Potential Diagrams, Associated Terminology, Meaning – Wave Function percentage matrix A7-168 Theme Potential Diagrams, Associated Terminology, Meaning – Probability Distribution representative responses A7-169 Theme Potential Diagrams, Associated Terminology, Meaning – Probability Distribution percentage matrix A7-169 Theme Potential Diagrams, Application of Diagram – Wells representative responses A7-170 Theme Potential Diagrams, Application of Diagram – Wells percentage matrix A7-170 Theme Potential Diagrams, Application of Diagram – Barrier representative responses A7-171 Theme Potential Diagrams, Application of Diagram – Barrier percentage matrix A7-171 Theme Potential Diagrams, Classical Perspective – Well – Sides representative responses A7-172 Theme Potential Diagrams, Classical Perspective – Well – Sides percentage matrix A7-173 Theme Potential Diagrams, Classical Perspective – Well – Sloping Base representative responses A7-174 Theme Potential Diagrams, Classical Perspective – Well – Sloping Base percentage matrix A7-175 Theme Potential Diagrams, Interpretation of Unfamiliar Potential Diagram percentage matrix A7-176 Theme Potential Diagrams, Overall Understanding of Wells representative responses A7-177 Theme Potential Diagrams, Overall Understanding of Wells percentage matrix A7-177 Theme Potential Diagrams, Overall Understanding of Barriers representative responses A7-178 Theme Potential Diagrams, Overall Understanding of Barriers percentage matrix A7-178 Theme Potential Diagrams, Overall Understanding – Concept – Energy Quantisation representative responses A7-179 Theme Potential Diagrams, Overall Understanding – Concept – Energy Quantisation percentage matrix A7-179 Theme Potential Diagrams, Overall Understanding – Concept – Wave Function representative responses A7-180 xviii Table A7-41 : Table A7-42 : Table A7-43 : Table A7-44 : Table A7-45 : Table A7-46 : Table A7-47 : Table A7-48 : Table A7-49 : Table A7-50 : Table A7-51 : Table A7-52 : Table A7-53 : Table A7-54 : Table A7-55 : Table A7-56 : Table A7-57 : Table A7-58 : Table A7-59 : Table A7-60 : Table A7-61 : Table A7-62 : Table A7-63 : Table A7-64 : Table A7-65 : Table A7-66 : Table A7-67 : Table A7-68 : Theme Potential Diagrams, Overall Understanding – Concept – Wave Function percentage matrix A7-180 Theme Potential Diagrams, Overall Understanding – Application – Explain Existing representative responses A7-181 Theme Potential Diagrams, Overall Understanding – Application – Explain Existing percentage matrix A7-181 Theme Potential Diagrams, Overall Understanding – Application – Analyse New representative responses A7-182 Theme Potential Diagrams, Overall Understanding – Application – Analyse New percentage matrix A7-182 Theme Contextualisation, Analogy (attitudinal) – Atom – Bohr representative responses A7-184 Theme Contextualisation, Analogy (attitudinal) – Atom – Bohr percentage matrix A7-185 Theme Contextualisation, Analogy (attitudinal) – Atom – de Broglie representative responses A7-186 Theme Contextualisation, Analogy (attitudinal) – Atom – de Broglie percentage matrix A7-186 Theme Contextualisation, Analogy (attitudinal) – Atom – Fuzzy Cloud representative responses A7-187 Theme Contextualisation, Analogy (attitudinal) – Atom – Fuzzy Cloud percentage matrix A7-187 Theme Contextualisation, Analogy (attitudinal) – Atom – Wave Packet representative responses A7-188 Theme Contextualisation, Analogy (attitudinal) – Atom – Wave Packet percentage matrix A7-188 Theme Contextualisation, Analogy (attitudinal) – Uncertainty – Walking Across Dark Room representative responses A7-189 Theme Contextualisation, Analogy (attitudinal) – Uncertainty – Walking Across Dark Room percentage matrix A7-189 Theme Contextualisation, Analogy (attitudinal) – Uncertainty – Balls in Cups representative responses A7-190 Theme Contextualisation, Analogy (attitudinal) – Uncertainty – Balls in Cups percentage matrix A7-190 Theme Contextualisation, Analogy (attitudinal) – Wells – Vibrating Strings representative responses A7-191 Theme Contextualisation, Analogy (attitudinal) – Wells – Vibrating Strings percentage matrix A7-192 Theme Contextualisation, Analogy (attitudinal) – Wells – Ball in a Well (Gravity) representative responses A7-193 Theme Contextualisation, Analogy (attitudinal) – Wells – Ball in a Well (Gravity) percentage matrix A7-193 Theme Contextualisation, Analogy (attitudinal) – Wells – Harmonic Oscillator representative responses A7-194 Theme Contextualisation, Analogy (attitudinal) – Wells – Harmonic Oscillators percentage matrix A7-195 Theme Contextualisation, Analogy (attitudinal) – Wells – Rubber Sheet for Well representative responses A7-196 Theme Contextualisation, Analogy (attitudinal) – Wells – Rubber Sheet for Well percentage matrix A7-196 Theme Contextualisation, Analogy (attitudinal) – Wells – Particle in a Box representative responses A7-197 Theme Contextualisation, Analogy (attitudinal) – Wells – Particle in a Box percentage matrix A7-198 Theme Contextualisation, Analogy (attitudinal) – Wells – Wave in a Box representative responses A7-199 xix Table A7-69 : Table A7-70 : Table A7-71 : Table A7-72 : Table A7-73 : Table A7-74 : Table A7-75 : Table A7-76 : Table A7-77 : Table A7-78 : Table A7-79 : Table A7-80 : Table A7-81 : Table A7-82 : Table A7-83 : Table A7-84 : Table A7-85 : Table A7-86 : Table A7-87 : Table A7-88 : Table A7-89 : Table A7-90 : Table A7-91 : Table A7-92 : Table A7-93 : Table A7-94 : Table A7-95 : Table A7-96 : Theme Contextualisation, Analogy (attitudinal) – Wells – Wave in a Box percentage matrix A7-199 Theme Contextualisation, Analogy (attitudinal) – Good representative responses A7-200 Theme Contextualisation, Analogy (attitudinal) – Good percentage matrix A7-200 Theme Contextualisation, Analogy (attitudinal) – Good makes you think representative responses A7-201 Theme Contextualisation, Analogy (attitudinal) – Good makes you think percentage matrix A7-201 Theme Contextualisation, Analogy (attitudinal) – Good Allows you to test/consolidate understanding representative responses Theme Contextualisation, Analogy (attitudinal) – Good Allows you to test/consolidate understanding percentage matrix A7-202 Theme Contextualisation, Analogy (attitudinal) – Good Allows you to test/consolidate understanding percentage matrix A7-202 Theme Contextualisation, Analogy (attitudinal) – Appropriate Limited Use representative responses A7-203 Theme Contextualisation, Analogy (attitudinal) – Appropriate Limited Use percentage matrix A7-203 Theme Contextualisation, Analogy (attitudinal) – Appropriate But very abstract not good teaching tools representative responses A7-204 Theme Contextualisation, Analogy (attitudinal) – Appropriate But very abstract not good teaching tools percentage matrix A7-205 Theme Contextualisation, Analogy (attitudinal) – Bad Hinder representative responses A7-206 Theme Contextualisation, Analogy (attitudinal) – Bad Hinder percentage matrix A7-206 Theme Contextualisation, Analogy (attitudinal) – Bad Usually emphasises the classical representative responses A7-207 Theme Contextualisation, Analogy (attitudinal) – Bad Usually emphasises the classical percentage matrix A7-207 Theme Contextualisation, Analogy (attitudinal) – Bad Analogies are lies / Doesn’t Happen representative responses A7-208 Theme Contextualisation, Analogy (attitudinal) – Bad Analogies are lies / Doesn’t Happen percentage matrix A7-209 Theme Contextualisation, Analogy (attitudinal) – No Response percentage matrix A7-210 Theme Contextualisation, Context – List of Key Ideas/Concepts percentage matrix A7-211 Theme Contextualisation, Context – List of Delivery Methods percentage matrix A7-212 Theme Contextualisation, Context – List of Products percentage matrix A7-212 Theme Contextualisation, Context – List of Key Experiments percentage matrix A7-213 Theme Contextualisation, Application – Explanation of Radioactivity percentage matrix (1 of 3) A7-214 Theme Contextualisation, Application – Explanation of Radioactivity percentage matrix (2 of 3) A7-215 Theme Contextualisation, Application – Explanation of Radioactivity percentage matrix (3 of 3) A7-216 Theme Difficulties, Student Comments, Analogy Related representative responses A7-218 Theme Difficulties, Student Comments, Analogy Related percentage matrix A7-218 Theme Difficulties, Student Comments, Context Related representative responses A7-219 xx Table A7-97 : Table A7-98 : Table A7-99 : Table A7-100 : Table A7-101 : Table A7-102 : Table A7-103 : Theme Difficulties, Student Comments, Context Related percentage matrix A7-219 Theme Difficulties, Student Comments, Mathematical Related representative responses A7-220 Theme Difficulties, Student Comments, Mathematical Related percentage matrix A7-220 Theme Difficulties, Student Comments, Delivery Emphasis Related representative responses A7-221 Theme Difficulties, Student Comments, Delivery Emphasis Related percentage matrix A7-221 Theme Difficulties, Student Comments, Content Related representative responses A7-222 Theme Difficulties, Student Comments, Content Related percentage matrix A7-222