Theoretical Relevance Lecture 2 for the IV track of the 2012 PSLC Summer School Philip I Pavlik Jr. University of Memphis Theoretical Relevance: 1 William E. Herp Chief Executive of Linear Air “The first lesson in sales is: Look for the pain.” Theoretical Relevance: 2 Look for the pain in the… Literature Classroom Science Theoretical Relevance: 3 of learning Your customers Literature: It is painful not to know the answer to a known question Known questions appear at the end of papers, reviews, etc. – At least one informed person cares about the answer. Common (bad) ways to pose research questions – Cool software – Pop psychology – I learn this way, so… Theoretical Relevance: 4 No customers, or poor customer commitment Select a question to add information and clarity to the literature Information value (in Shannon’s sense) – High if prior probability of the answer is very different from the answer obtained in the experiment. – Low if experiment just confirms the expected answer. Clarification value (real pains here) – Low if the literature is a mess, and the experiment just adds one more fact to the mess. – High if the experiment somehow clarifies the mess. – Moderate if there is little prior literature. Theoretical Relevance: 5 Look for (and relieve) the pain in the… Literature Classroom Sciences Theoretical Relevance: 6 of Learning Next – Known question – Answer would add information and/or clarity What pains the classroom? Ask the instructor (you?) what’s most frustrating – Teaching a certain concept? – Transfer to real world? – Depth of understanding? Ask the students… – but students biased by immediate needs Theoretical Relevance: 7 Examples: Andes Physics tutor is not “selling” (can’t give it away!) Andes teaches quantitative problem solving. Most instructors think this is not a bottleneck. Instead, qualitative problem solving is their concern. Suggests that Andes is poorly targeted to classroom pain… Theoretical Relevance: 8 Look for (and relieve) the pain in the… Literature – Known question – Answer would add information and/or clarity Classroom Sciences Theoretical Relevance: 9 of Learning Next – Instructors consider the question important Where is the pain in the Learning Sciences? Too many results No organization of the results No theory No clear implications No classic results that everyone knows No accretion Progress is more like politics than medicine Theoretical Relevance: 10 To cure the pain, Learning Science needs a theoretical framework Not like physics – A few basic principles from which all else follows. More like Medicine – Many basics (anatomy, physiology, genetics) – Many specializations e.g., lymphatic cancers Few principles; many diseases, syndromes, therapies – A standardized, rigorous terminology – Digital libraries becoming essential Theoretical Relevance: 11 Types of theories Shared theoretical vocabulary Boxology “How People Learn” principles Theoretical Relevance: 12 Computational models PSLC theoretical framework Shared theoretical vocabulary Boxology “How People Learn” principles Theoretical Relevance: 13 Computational models Shared terminology – Research clusters – Research thrusts Analytic Theoretical Relevance: 14 framework Next PSLC theoretical framework Shared terminology Micro-level – Knowledge component: A principle, concept, fact, schema, strategy, meta-strategy… – Learning event: An application of a knowledge component Macro-level: A taxonomy of robust learning processes – Sense-making – Fluency-building – Refinement Theoretical Relevance: 15 Micro level is just (good, old fashioned) cognitive psychology Instructional activities Prior knowledge Cognitive processes Knowledge components Knowledge can be decomposed Theoretical Relevance: 16 Observable outcomes Learning processes can be decomposed and taxonomized Macro level is a taxonomy of learning process Sense making – Coordination of multiple types/sources of learning Fluency – Strengthening Refinement – Feature pruning – All 3 process are coincident Theoretical Relevance: 17 PSLC research clusters Coordinative learning – How do students coordinate multiple sources of information, media, representations, strategies? Interactive communication – How does interaction between a student and a peer, tutor or teacher affect learning? Fluency and refinement – How does a skill become fluent? Theoretical Relevance: 18 PSLC Research Thrusts Motivation and Metacognition Computational Modeling and Data Mining Social Communicative Factors Cognitive Factors Theoretical Relevance: 19 PSLC Theoretical framework Glossary of theoretical terms Analytic Theoretical Relevance: 20 framework Next – Micro-level – Macro-level Learning events over time While studying an example, tries to selfexplain; fails; looks in text; succeeds Duration 25 sec. While solving a problem, looks up example; recalls explanation; maps it to problem 20 sec. Recalls explanation; slips; corrects 15 sec. Solves without slips 10 sec. 5 sec. First Theoretical Relevance: 21 Second Third Opportunity Fourth Fifth A new analytic framework, based on an analogy A problem is to a problem space as a learning event is to a ____________ . Theoretical Relevance: 22 A new analytic framework, based on an analogy A problem is to a problem space as a learning event is to a learning event space. Theoretical Relevance: 23 Key ideas A learning event space is a set of paths determined by the instruction and the student’s prior knowledge, but it is the student who chooses which path to follow different paths have different outcomes: – – – – Deep learning Shallow learning Mis-learning Etc. Theoretical Relevance: 24 You get to choose the granularity in your IV research Coarse grain-size: Only observable actions – Correct vs. incorrect steps – Feedback from tutor Finer: Reportable mental actions – Recall vs. construct Even finer? Theoretical Relevance: 25 How to use learning event spaces Construct a learning event space such that… it is consistent with observable actions, and… the top level question, “Why did they learn?” becomes two easier questions: – Path choice: Why did students tend to choose as they did? – Path effects: Given that a student went down a path, why did that cause the observed learning/outcomes? Theoretical Relevance: 26 A simple illustration Maxine Eskenazi & Alan Juffs hypothesize that using authentic texts will increase vocabulary acquisition in ESL. – Students read text with a few target unfamiliar words. – Texts come either from web or from existing primer. – Clicking on an target word displays its definition. Why would authenticity increase learning? How? Theoretical Relevance: 27 Learning event space (one per target word) Start Ignore the word – Exit, with little learning Infer meaning from context – Exit, with “implicit” learning Click on the word; definition is displayed – Read & understand the definition Exit, with “explicit” learning – Go to Start Theoretical Relevance: 28 Why should authentic text help? Hypotheses based on path choices Start Ignore the word – Exit, with little learning Infer Authentic text should decrease this meaning from context – Exit, with implicit learning Click on the word; definition is displayed – Read & understand the definition Exit, with explicit learning – Go to Start Theoretical Relevance: 29 Authentic text should increase this To summarize the theoretical framework… Glossary – Macro-level Sense-making Fluency Refinement – Micro level: Knowledge components, learning events… Learning events space – Decomposes “why did they learn?” into Path choices: Which paths were chosen? Path effects: For each path, what was learned? Theoretical Relevance: 30 Find the pain (and relieve it) in the… Literature – Known question – Answer would add information and/or clarity Classroom – Instructors consider the question important Science of learning – Glossary of theoretical terms – Learning event spaces Theoretical Relevance: 31