Living by Chemistry: Progress Variables, Learning Progressions Karen Draney University of California, Berkeley LBC started with the following observation: Students who can write this equation for combustion: CH4 + 2O2 CO2 + 2H2O often cannot answer: "When a house burns to the ground and only a few pieces of charred wood and ashes are left, what happens to the rest of the mass of the house?” (AAAS Project 2061 conference 2001) How to define understanding of chemistry? “Chemistry” A typical “laundry list” of topics: • Stoichiometry • Atoms and elements • The periodic table • Chemical bonding Student understanding? • Molecular structure • Physical and chemical change • Acid-base equilibrium • Oxidation-reduction reactions • Thermodynamics • Chemical kinetics .....Solubility......…etc....etc...etc.... A better way: the BEAR Assessment system Applying criterion-referenced measurements to characterize student understanding. BEAR Assessment System • Decide on variables to measure learning outcomes • Define a scale to quantify the variables • Design an instrument to determine the values of the variables for individual students The 4 Building Blocks Construct Map Items Measures Item Scores PROGRESS VARIABLES LBC Curriculum and ChemQuery Assessment Matter is composed of atoms arranged in various ways. Change is associated with rearrangements of atoms. Energy is associated with changes that occur. Levels of Progress: Focus on Student Understanding expert 5 Generation: Research 4 Construction: Examining assumptions, relating models 3 Formulation: Relating ideas and concepts, simple models 2 Recognition: Language, definitions, symbols algorithms novice 1 Notions: Everyday experience, logical reasoning ChemQuery Items Design Examples of items: C 4H 8O 4 butyric acid C4H8O4 ethyl acetate Both of the solutions have the same molecular formulas, but butyric acid smells bad and putrid while ethyl acetate smells good and sweet. Explain why these two solutions smell differently. ChemQuery Level One: Notions Response 1: I think there could be a lot of different reasons as to why the two solutions smell differently. One could be that they're different ages, and one has gone bad or is older which changed the smell. Response 2: Using chemistry theories, I don't have the faintest idea, but using common knowledge I will say that the producers of the ethyl products add smell to them so that you can tell them apart. Response 3: Just because they have the same molecular formula doesn't mean they are the same substance. Like different races of people: black people, white people. Maybe made of the same stuff but look different. ChemQuery Level Two: Recognition Response: "They smell differently b/c even though they have the same molecular formula, they have different structural formulas with different arrangements and patterns.” Quality evidence: student profile Quality evidence: track student over time ChemQuery Quality evidence: To help ALL students increase understanding of chemistry ss s s Score Levels 2 -2 s +1 s 1 s -1 s 0 s Pretest Post-test Low Middle High Fall 2000 Student Gains, Grouped by Pretest Score ChemQuery Criterion referenced assessments, tracking student learning High School and College Students 100 0 semesters 2 semesters 3 semesters 80 60 40 20 0 Notions Recognition Formulation Construction Generation Creating a Construct Variables • Main topics (chapters or subdisciplines) • Models or theories • Popular understanding Levels of progression • A little of x, more of x, a great deal of x • Complexity: A, A+B, A+B+C, A+B+C+D • Range vs hierarchy ChemQuery Criterion referenced assessments, tracking student learning Big Ideas of Chemistry: Round 1 Macroscopic phenomena can be described by the positions and motions of electrons atoms and molecules Mass and energy are conserved in chemical reactions The tendency for physical or chemical change can be predicted by comparing relative reactivities for various substances ChemQuery Criterion referenced assessments, tracking student learning complex 5 Integration across variables 4 Bonding (ionic, covalent molecules, perhaps collections of molecules 3 Model of the atom (including elements and periodicity 2 Particulate view (definition of matter as particulate) simple 1 Macroscopic observations ChemQuery Criterion referenced assessments, tracking student learning complex 4 Explaining Molecular Behavior: Explains molecular behavior and properties in terms of stability and energies 3 Examining Structure-Property Relationships: Recognizes that matter has characteristic properties due to the arrangement of atoms 2 Representing Matter: Explores meaning of words, symbols and definitions to represent matter 1 Describing Properties of Matter: Describes materials observed with senses, uses logical patterns simple 0 Prestructural: Response is irrelevant Living by Chemistry To help ALL students increase understanding of high school chemistry Big Ideas of Chemistry: Round 2 Atomic and molecular view Mass as evidence for atomic view Rearrangements of atoms Conservation of mass Quantum view Conservation of energy ChemQuery Criterion referenced assessments, tracking student learning Quantitative vs Qualitative 5 Integrate the domain 4 Predict Scientific models 3 Relate Patterns and Equations 2 Represent Scientific definitions 1 Describe Observations & experience 0 A B Characterizing Measuring Matter Matter Matter is Mass is composed of used to account atoms arranged for matter in various ways C D Characterizing Quantifying Change Change Change is Mass is associated with used to keep rearrangements track of change of atoms E F Evaluating Energies Energy transfer used to analyze tendency for change Quantizing Energy Interaction of light with matter elucidates structure bonding & reactivity models & evidence the domain advanced bonding models, nucleophiles, electrophiles evidence about things we can’t observe directly 4 Predict phase & composition limitations of models Scientific models bond strengths, intermolecular examining evidence assumptions 3 Relate properties & atomic views Patterns and Equations octet rule, ionic and covalent bonds 5 Integrate attractions, polarity matter with 2 Represent chemical Scientific definitions 1 Describe Observations & experience 0 symbols elements, compounds, valence electrons, periodic trends properties of matter solids, liquids, gases, mixtures kinetics & changes in bonding stoichiometry & equilibrium particle & energy views spectroscopy & structure rxn mechanisms, activation energy weak acids & bases, solubility of salts, gases statisical mechanics KE & temperature group theory, transition probabilities products of reaction amounts of products degrees of change electronic structure solubilities, relative acid strengths limiting reagents, strong acid/base titrations, % yield measured amounts of matter change & reaction types amounts of reactants & products density, grams per mole,molarity precipitation, acid-base, redox reaction stoichiometry, pH mass with a particulate view change with chemical symbols change with a conservation view heats & temperature atoms, isotopes, moles balanced equations, phys, vs chem change conservation of mass in chemical reactions heat capacity, calorimetry, exo(endo)thermic amounts of matter attributes of change changes in amount measures of energy mass, weight, volume, pressure mixing, dissolving, color change, change in form changes in mass, weight, volume temperature, scales measures of energy entropy, free energy & equilibrium energy transfer & change enthalpy changes Hess’s law, bond breaking quantum model, atomic & molecular orbitals, ionization energy color with light absorption absorption & emission spectra energies associated with light frequency, speed, Planck’s constant light production of light, color A B C D E F Characterizing Matter Matter is composed of atoms arranged in various ways Measuring Matter Mass is used to account for matter Characterizing Change Change is associated with rearrangements of atoms Quantifying Change Mass is used to keep track of change Evaluating Energies Energy transfer used to analyze tendency for change Quantizing Energy Interaction of light with matter elucidates structure ChemQuery Criterion referenced assessments, tracking student learning Big Ideas of Chemistry: Round 3 Matter is composed of atoms arranged in various ways. Change is associated with rearrangements of atoms. Energy is associated with changes that occur. ChemQuery Criterion referenced assessments, tracking student learning ChemQuery Construct Matter Student levels of understanding number III. Formulation II. Recognition I. Notions mole mass Change particulate macro conservation Atomic symbols, octet rule Chemical equations, conservation of mass Solid, liquid, gas Stuff happens (atoms/stuff/grams) ChemQuery Criterion referenced assessments, tracking student learning Final Thoughts • Don’t do this alone • Iterative by nature • All variables can start out simple • Track student understanding from high school to graduate school