Keywords: Error Analysis (10)

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Accounting for Errors in Model Analysis Theory: A Numerical Approach
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Accounting for Errors in Model Analysis Theory: A Numerical Approach

By studying the patterns of a group of individuals' responses to a ... (more)

By studying the patterns of a group of individuals' responses to a series of multiple-choice questions, researchers can utilize Model Analysis Theory to create a probability distribution of mental models for a student population. The eigenanalysis of this distribution yields information about what mental models the students possess, as well as how consistently they utilize said mental models. Although the theory considers the probabilistic distribution to be fundamental, there exists opportunities for random errors to occur. In this paper we will discuss a numerical approach for mathematically accounting for these random errors. As an example of this methodology, analysis of data obtained from the Lunar Phases Concept Inventory will be presented. Limitations and applicability of this numerical approach will be discussed. (less)

Subject:
Mathematics
Ecology
Forestry and Agriculture
Geoscience
Physics
Space Science
Education
Material Type:
Reference
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
Author:
Rebecca S. Lindell
Steven Sommer
Adventures in Statistics
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Adventures in Statistics

This Web unit describes a project involving fifth grade students and the ... (more)

This Web unit describes a project involving fifth grade students and the areas of the fifth and sixth grade classrooms. Included in the unit are measurement, graphing, computation, data analysis, and presentation of results. The lesson descriptions and extensions, student worksheets and charts, figures, and tables appeared as an article in the NCTM journal <i>Teaching Children Mathematics</i>. (less)

Subject:
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Unit of Study
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Tom Scavo
Analytical Techniques for Studying Environmental and Geologic Samples, Spring 2011
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Analytical Techniques for Studying Environmental and Geologic Samples, Spring 2011

This is a laboratory course supplemented by lectures that focus on selected ... (more)

This is a laboratory course supplemented by lectures that focus on selected analytical facilities that are commonly used to determine the mineralogy, elemental abundance and isotopic ratios of Sr and Pb in rocks, soils, sediments and water. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Readings
Syllabi
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Bowring, Samuel
Boyle, Edward
Chatterjee, Nilanjan
Dudas, Francis
Chemistry Laboratory Techniques, January IAP 2012
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Chemistry Laboratory Techniques, January IAP 2012

This course is an intensive introduction to the techniques of experimental chemistry ... (more)

This course is an intensive introduction to the techniques of experimental chemistry and gives first year students an opportunity to learn and master the basic chemistry lab techniques for carrying out experiments. Students who successfully complete the course and obtain a "Competent Chemist" (CC) or "Expert Experimentalist" (EE) rating are likely to secure opportunities for research work in a chemistry lab at MIT. Acknowledgements The laboratory manual and materials for this course were prepared by Dr. Katherine J. Franz and Dr. Kevin M. Shea with the assistance of Professors Rick L. Danheiser and Timothy M. Swager. Materials have been revised by Dr. J. Haseltine, Dr. Kevin M. Shea, Dr. Sarah A. Tabacco, Dr. Kimberly L. Berkowski, Anne M. (Gorham) Rachupka, and Dr. John J. Dolhun. WARNING NOTICE The experiments described in these materials are potentially hazardous and require a high level of safety training, special facilities and equipment, and supervision by appropriate individuals. You bear the sole responsibility, liability, and risk for the implementation of such safety procedures and measures. MIT shall have no responsibility, liability, or risk for the content or implementation of any of the material presented. Legal Notice&nbsp; (less)

Subject:
Science and Technology
Chemistry
Education
Material Type:
Activities and Labs
Full Course
Syllabi
Provider:
Internet Scout Project
M.I.T.
Provider Set:
Internet Scout Project
MIT OpenCourseWare
Author:
John J. Dolhun
Curve Fitting
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Curve Fitting

With your mouse, drag data points and their error bars, and watch ... (more)

With your mouse, drag data points and their error bars, and watch the best-fit polynomial curve update instantly. You choose the type of fit: linear, quadratic, cubic, or quartic. The reduced chi-square statistic shows you when the fit is good. Or you can try to find the best fit by manually adjusting fit parameters. (less)

Subject:
Mathematics and Statistics
Mathematics
Science and Technology
Life Science
Physics
Technology
Education
Material Type:
Activities and Labs
Instructional Material
Interactive
Simulations
Provider:
Florida Center for Research in Science, Technology, Engineering, and Mathematics
PheT
University of Colorado Boulder
Provider Set:
iCPALMS: A Standards-based K-12 Resources and Tools Pathway
PhET Interactive Simulations
PhET Interactive Simulations
Author:
Dubson, Michael
Loeblein, Patricia
Michael Dubson
PhET at University of Colorado
PhET Interactive Simulations
Trish Loeblein
Curve Fitting (AR)
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Curve Fitting (AR)

With your mouse, drag data points and their error bars, and watch ... (more)

With your mouse, drag data points and their error bars, and watch the best-fit polynomial curve update instantly. You choose the type of fit: linear, quadratic, cubic, or quartic. The reduced chi-square statistic shows you when the fit is good. Or you can try to find the best fit by manually adjusting fit parameters. (less)

Subject:
Mathematics and Statistics
Science and Technology
Material Type:
Activities and Labs
Interactive
Simulations
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Dubson, Michael
Loeblein, Patricia
How Many Days are in a Year?
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How Many Days are in a Year?

In this exercise, students learn about the historical development of the Julian ... (more)

In this exercise, students learn about the historical development of the Julian and the Gregorian Calendars and design a reasonable calendar for an imaginary planet, considering the cycle period and making design tradeoffs, This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (less)

Subject:
Mathematics
Geoscience
Material Type:
Instructional Material
Lecture Notes
Provider:
NASA
Provider Set:
NASA Wavelength
My Favorite No: Learning From Mistakes

My Favorite No: Learning From Mistakes

Leah Alcala gives her students a warm-up problem at the beginning of ... (more)

Leah Alcala gives her students a warm-up problem at the beginning of every class, which they solve on index cards. She quickly sorts through them, and from the wrong answers chooses her "favorite no." She and her kids then analyze what's right about the solution before delving in to what the writer doesn't understand that led them to answer incorrectly. (less)

Subject:
Mathematics and Statistics
Material Type:
Assessments
Lesson Plans
Teaching and Learning Strategies
Provider:
Teaching Channel
Provider Set:
Teaching Channel
Numerical Fluid Mechanics, Fall 2011
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Numerical Fluid Mechanics, Fall 2011

This course will provide students with an introduction to numerical methods and ... (more)

This course will provide students with an introduction to numerical methods and MATLAB. Topics covered throughout the course will include: errors, condition numbers and roots of equations; Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis, and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; Lagrangian Coherent Structures. Subject includes a final research project. (less)

Subject:
Science and Technology
Material Type:
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Pierre Lermusiaux
Numerical Methods for Partial Differential Equations, Spring 2009
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Numerical Methods for Partial Differential Equations, Spring 2009

" This graduate-level course is an advanced introduction to applications and theory ... (more)

" This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods." (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Full Course
Homework and Assignments
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Seibold, Benjamin
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2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni ... (more)

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