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An integrated computational science module in
mathematics and science |
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Wheat Ridge High School |
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Wheat Ridge, CO |
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Building the concepts of exponential growth
(math) and factors influencing the growth of a population (science) |
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Building ability to use the tools (Excel,
STELLA) |
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Sequentially construct meaning of scientific and
mathematical concepts |
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Build tool use fluency |
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Map of daily activities in math and science (Designed
for use by teacher, can also be used by students) |
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Links to sample Excel, STELLA files |
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STELLA2java pages demonstrating accurate model
behavior |
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Explore the concept with laboratory
investigation (Yeast Lab/M&M Lab) |
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Identify and take apart the variables within the
problem (Yeast post-lab) |
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Research variables affecting populations of six
different countries (pbs.org/sixbillion) |
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Predict the effects of each variable on the
concept (flowcharting) |
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Build simple models of human and yeast
populations with the variables included (Excel and STELLA in map mode) |
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Evaluate the model and compare its behavior to
actual relationships in nature |
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Formulate scenarios to investigate with the
model |
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Draw the map the of concept and variables on
paper |
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Translate relationship to Word |
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Research real numbers within the relationship |
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Define mathematical functions underlying the
concept |
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Prepare Excel formulas and graphs using real
numbers |
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Create low level Excel models to use in
conjunction with STELLA |
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Modify data to examine effects of changing
variables on concept |
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Use TI-83+ Calculators to create mathematical
models |
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Build a STELLA model of laboratory data using
tutorial |
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Design a STELLA model of population data using
acquired skills and mathematical functions using Excel models as foundation |
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Critique accuracy and meaning of mathematics
behind model |
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Adjust model for maximum accuracy |
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Yeast growth lab explores variables influencing
population growth |
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Exploration of socioeconomic factors influencing
population growth |
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Creation of theoretical numbers to project
changes in population over 100 years |
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Identifies five factors that affect population
and describes those factors mathematically (low level models) |
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Creates an intricate model to explore how these
factors affect population growth in relation to one another (primary focus
is exponential growth) |
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Use model to change factors (low level models)
and predict population growth |
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Rubric for assessing cross-curricular modeling
activities in unit |
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Project-based format for final student product |
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Pre and post assessment with separate rubric
Statistical analysis from implementation of module (Nov.2001) |
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Notes