Mathematics and Statistics

Topics in Mathematics and Statistics: –

Algebra
Calculus
Climate Change Overview
Computer Programming
Confidence Interval
Differentiation
Functions
Integration
Introduction to Statistics
Linear Regression
Mathematical Modeling
Mean Median Mode
Numerical Modeling
Polynomial Differentiation
Probability
Quadratic Regression
Reimann Sums
Standard Deviation
Trend Analysis
Trigonometry
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A classroom/laboratory activity to learn about regression analysis of data by using global temperature data over a period of 150 years. Students will plot global mean temperatures, perform regression analysis, and determine global mean temperature
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A classroom/laboratory activity to model temperature data by using trigonometric functions. Students will model given temperature data (for Wellington, New Zealand) by using sine and cosine functions. They will compare models and discuss their observations.
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A classroom/laboratory activity to perform linear regression on climate data from the Arctic. Students will perform linear regression analysis on the average monthly extent of Arctic sea ice (from 1979 to the present) and will
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A classroom/laboratory activity to learn about linear slope, trends, confidence intervals, and Student’s t-distribution by calculating trends and uncertainties using hurricane data records over 40 years. Using hurricane-related data for the Atlantic Ocean, students will
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A classroom/laboratory activity to learn about statistical methods to analyze average annual temperatures of major cities in the world (New York and Sydney) and to determine trends in the data. Students will create histograms to
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A model/simulator to learn about changes in Earth’s climate caused by variations in the solar energy received by the planet over geological time scales and to understand the role of the orbital parameters (obliquity, precession,
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A teaching module by Ginny Brown, University Corporation for Atmospheric Research (UCAR), that uses climate data to teach statistical parameters such as mean, median, mode, extreme values, percent frequency of occurrence and time, range, standard
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A classroom/ laboratory activity titled, ‘US Historical Climate: Excel Statistical’ from Starting Point by R.M. MacKay, Clark College, USA, to calculate mean, variance, standard deviation, maximum, minimum, and trends estimates for historical temperature data. This
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A classroom/laboratory activity to model how changes in the radiation entering or leaving the Earth affect the temperature of the planet. Students will model the data by using Excel spreadsheets and will then determine whether
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A classroom/ laboratory activity titled, ‘Global Average Temperature’ from Sustainability Math by Thomas J. Pfaff, Ithaca College, USA, to teach derivatives and polynomial differentiation using global average temperature data. This classroom/laboratory activity uses NASA’s data
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A classroom/ laboratory activity titled, ‘Arctic Sea Ice’ from Sustainability Math by Thomas J. Pfaff, Ithaca College, USA, to teach introductory derivatives, polynomial differentiation, and the application of derivatives. This hands-on computer-based classroom activity consists
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A model/simulator to explore the Gaia hypothesis and the concepts of albedo and hysteresis through the example of daisies (living organisms) and their interaction with temperature (climatic factor). Students will configure the distribution of black
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