Data Modeling June 2005Statistical Reasoning is part of a larger process of DATA MODELING.

DM provides a framework for considering standards and curriculum.

Goal: Explore DATA MODELING for ourselves.

MeasureCycle of Data ModelingAttributeQuestionStructure

Represent(Graphs)Summarize(Stats)ReviseQuestionInference

Views from Science-at-Work

How Do You Wake Up? Angie Putz, Grade 1

Structuring Waking Up

What do you like to pretend?

Revised Pretending

Third Revision-Pretense

Favorite Soups

Soup SurveyThe cafeteria now serves CNS more than Tomato

What Happens when Things Rot?

Angies ReflectionsQuestions revised in light of data collection and organization (The soup survey, Fruit flies)The idea of attribute and collection--forming collections like other or animal instead of dog.The constraints imposed by paper and childrens efforts to resolve them.The importance of conversation about the representation: Whats it good for?

Developing Graphical SenseJennie Clement, Grade 2Where would you prefer to live, the tall city or the wide country?

Re-representing

How should we structure space to show quantity?

Jennies Reflections Childrens ideas begin with literal depictions and over time, representations become more distant from the event. Developed a scoring rubric to capture my senses of the similarities and differences in childrens work as they progress from literal copy to graphical representation. The importance of conversation about the uses and needs of conventions like equal intervals, choices among graphs in relation to questions.

Graphing ExcitementDeb Lucas, Grade 6

How do writers create and sustain interest?

Debs Reflections Using data displays to direct inquiry. Graphical literacy as a tool for developing textual literacy. Relations between mathematical and textual literacies..

Whos the Artist?Erin diPerna, Grade 3

Developing Classification ModelsWhich attributes should be measured and how?Data abstraction (15 eye shapes ---> 3)Analysis and display to generate relative oddsModels for combining attributes to predict the age of the artist.Testing and Revising ModelsFurther refinement

Samples of Portrait Work

Classification Models

Refining Models

Customizing Sally Hanner (g 4), Eric James (g 1-2), Mark Rohlfing (g 5)Developmental comparisons by teachers of younger and older children.

Investigating Nature: Grade 1

Our Agenda: Thinking about Variation

CONTEXTS FOR THINKING ABOUT VARIATION MEASUREMENT NATURE (Warner Park) TOOLS FOR FINDING PATTERN Drawing, Writing Tinkerplots

Agenda (cont) MODELING VARIATION - Sample-to-Sample Variation - Chance devices MAKING INFERENCE CURRICULUM INVESTIGATIONS

DAILY SCHEDULEMonday Measure Height of Flagpole (Vary Tools, Units) Display Measurements Create Summaries of Data (Statistics) Explore Measures with Tinkerplots Wrap-up

ScheduleTuesday - Warner Park Studies (AM)How diverse is a section of the forest? Working up our WP data (PM)Wednesday What would happen if we did it again? Modeling measurement as Measure + Chance Rockets Red Glare (Inference)

ScheduleThursday- Warner Park Field Studies Redux (AM)- Working Up the Data (PM)

Friday Science-at-Work and Classroom Implications Curriculum Studies Wrap Up

A brief overview of the work of the collaborative. ILLUMINATIONS of first graders structuring and representing data to answer a question.Much of the press for revision is a response to communication. How can we show it best so that others will understand what we mean? Literal audiences include other teachers, children and parents. Pin ups are regular features of design studios.The original question posed was about the favorite soups of boys and girls. The Rotting tomatoes study was curtailed by the coming of Winter. Compost columns were used as models of outdoors (Styrofoam? Bits of plastic?). These were infested with fruit flies, which presented the entire school with opportunities to learn.