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Developing progress variables and learning progressions for the Carbon Cycle The BEAR Assessment System Karen Draney, Mark Wilson, Jinnie Choi, and Yongsang Lee, UC Berkeley EVIRONMENTAL LITERACY Outcome space Progress variables A progress variable is used to represent a cognitive theory of learning consistent with a developmental perspective. This is grounded in the principle that assessments be designed with a developmental view of student learning. The underlying purpose of assessment is to determine how students are progressing from less expert to more expert in the domain of interest, rather than limiting the use of assessment to measure competence after learning activities have been completed.With a progress variable, we seek to describe a continuum of qualitatively different levels of knowledge, from a relatively naïve to a more expert level. Carbon Cycle progress variables •Structure of Systems •Tracing Matter •Tracing Energy General Level Structure Level 7 Current Work Level 6 Level 5 •Citizenship •Change over Time Future Work Level 4 Level 3 Level 2 Level 1 Quantitative Reasoning about Uncertainty Quantitative Modelbased Reasoning Qualitative Model-based Reasoning ÒSchool ScienceÓ Narratives Events Driven by Hidden Mechanisms Sequences of Events Egocentric Reasoning about Events The “outcome space” refers to the mapping of all possible responses to an assessment item to a particular level of the progress variable. The outcome space must be exhaustive (every student response must be mappable) and finite! A careful study of this mapping has engaged our group for many meetings. In order to ensure the reliability of our scoring methods, and the stability of our variable structure, we have taken sets of student responses to many of our assessment items, and had teams at both Michigan State University and and Berkeley, score them All differences were resolved through discussion (below left). In addition, we have attempted to select from our data an “exemplary” student response for each item at every scoring level of the variable(s) with which it is associated, and to annotate why it is exemplary (below right). TM Item scoring issue : BURNING A MATCH Exem plary Response Q : What happens to the wood of a match as the match burns? Why does the match lose weight as it burns? Total 81,819 It turns to ash. The heat makes it lose weight. It loses weight because if the fire goes on it, It burns it and turns into ashes. Because wood burns into ash, takes out the water and sap. It becomes ashes. Ashes don’t weigh anything. • It could be a simple description about visible events. • Students might simply mention ashes without recognizing chemical reaction, so we should not assume students recognize chemical reaction with these responses. MSU : More than Level 3 • Ashes are macroscopic products and students who identify ashes should be distinguished from students who don’t. • “burning into ash” is a chemical reaction, so we can assume students identify chemical process with these responses. Each item must represent some number of levels of one or more progress variables. The design of items, and the selection of existing items, to represent the variables, has occupied much of our time. In this process, the progress variables take form. Grandma Johnson (GRANJOHN) Grandma Johnson hadvery sentimental feelings toward Johnson Canyon, Utah, where she and her late husband had honeymooned long ago. Because of these feelings, when she died she requested to be buried under a creosote bush in the canyon. Describe below the path of a carbon atom from Grandma JohnsonÕsremains, to inside the leg muscle of a coyote. NOTE: T he coyote does not dig up and consume any part of Grandma JohnsonÕs remains. 4. School science narratives of Decomposers break down Grandma processes JohnsonÕsremains, leftover nutrients are absorbed into the rests of a creosote bush, a bird eats the fruit from the bush, the coyote catches and eats the bird. 3. Causal sequences of events with hidden mechanisms When Grandma Johnson's body began decom posing, the carbon atom was released into the soil under the creosote bush, and could have gotten washed away by rain to the nearest lake, brook, or stream. 2. Events based narratives about materials Attention MCK: ÒThe carbon in grandma body is decomposed into the ground. The plants then use the f ertile soil to use her carbon atoms. As the soil passes it to the plant, the plant is ev entually eaten by the coy ote. The carbon atom then trav els to its leg.Ó Grandma Johnson It Identifies reactants and gas such as oxygen related to chemical and physical changes. it correctly identifies some reactants, but faisl to identifies gas. It indicates Grandm a Johnson's body is com posed with carbon atoms. Decom posing (attention to hidden mechanism) A carbon atom from Grandm a Johnson's remains sink into the ground and m ixes with it sim ply describes the path the soil. T hen when the soil is mixed and of carbon atoms as natural churned, it rises to the top of the ground. phenomena When the coyote kills something upon that dirt, he m ay consume it and have some of them Graphical Representation of the Item level difficulties and person performance levels for Structure of Systems In the graphical representation to the right, an X represents a person performance on a collection of items related to Structure of Systems. The numbers on the right represent scoring levels (from the general level structure above) on individual items (e.g. 5.2 indicates a level 2 performance on item 5). Less difficult tasks and less proficient persons are toward the bottom of the page. Grandma Johnson DES: ÒGrandma Johnson's remains decay and decomposers use respiration and turn it to carbon dioxide. The plants absorb the carbon dioxide. Rodents eat the plants and then the coyote eats the rodent.Ó The carbon is released from Grandm a Johnson's body and travels up through the soil and is used during photosynthesis by the plant to make oxygen. A primary consum er would eat the plant som e where along the food chain, the coyote receives the carbon atom. Measurement Model Items design CRD: ÒA carbon atom from Grandma Johnson's remains sink into the ground and mixes with the soil. Then when the soil is mixed and churned , it rises to the top of the ground. When the coyote kills something upon that dirt, he may consume it and have some of the soil come with it , which produces him with Grandma Johnson's carbon atom. Ó Characteristics of Response 5. Model-based accounts across scales Students’ actual responses UCB : Level 2 To define the levels of the progress variables, we started with a description of the types of reasoning necessary to function at a high level of environmental literacy. In addition, we examined both previous literature, and written and interview-based accounts, from elementary, middle school, and high school students, to define additional levels. The lowest levels of reasoning, generally used by middle to upper elementary school students, we referred to as a lower anchor This includes a lack of awareness of various “invisible” mechanisms (including microscopic and atomic-molecular structure, large-scale structure, gases, etc.); reliance on senses rather than data; and narrative rather than model-based reasoning. As an upper anchor, we selected the highest levels of performance seen in high school students after completing relevant science units Responses Exemplifying Levels of the Tracing Mat ter Variable Decomposers Soil Plants Herbiv ores Coyote Decomposers Soil Plants Herbivores Coyote Grandma Johnson The use of a formal measurement model like this one to analyze our data allows us to examine our expectations for assessment empirically. We can make certain that items that we expect to be particularly easy or difficult in fact are, and we can find and examine item and person performances that are unusual or unexpected. In this case, we expected that students would use similar levels of reasoning on a wide variety of different assessment tasks, leading to a “banding” effect in which the same scoring levels would occur together across most or all of the items. In our preliminary analysis of the Structure of Systems data, we have indeed observed this. Decomposers on d Carb e ioxid Plants Herbiv ores Coyote Center for Curriculum Materials in Science (CCMS) This research is supported in part by three grants from the National Science Foundation: Developing a research-based learning progression for the role of carbon in environmental systems (REC 0529636), the Center for Curriculum Materials in Science (ESI-0227557) and Long-term Ecological Research in Row-crop Agriculture (DEB 0423627. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. EVIRONMENTAL LITERACY