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The Activity Model for Inquiry: Reflective Writing Prompts
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CC BY-NC-SA
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Reflective writing is be a valuable communication tool between instructor and student that fosters critical thinking. When combined with a better model of the scientific method (the AMI) than the "standard" linear model, learners gain a better understanding of the process of science.

Subject:
Composition and Rhetoric
English Language Arts
Geology
Physical Science
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Teach the Earth
Author:
Amy Ellwein
Date Added:
11/06/2014
Applied Geometric Algebra
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CC BY-NC-SA
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László Tisza was Professor of Physics Emeritus at MIT, where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Algebra" taught by Professor Tisza in the Spring of 1976.
Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems.
The lecture notes came to MIT OpenCourseWare by way of Samuel Gasster, '77 (Course 18), who had taken the course and kept a copy of the lecture notes for his own reference. He dedicated dozens of hours of his own time to convert the typewritten notes into LaTeX files and then publication-ready PDFs. You can read about his motivation for wanting to see these notes published in his Preface. Professor Tisza kindly gave his permission to make these notes available on MIT OpenCourseWare.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Tisza, László
Date Added:
02/01/2009
Applied Mathematics Textbook
Unrestricted Use
CC BY
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This applied mathematics textbook covers Matrices and Pathways, Statistics and Probability, Finance, Cyclic, Recursive and Fractal Patterns, Vectors, and Design. The approach used is primarily data driven, using numerical and geometrical problem-solving techniques.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Southern Alberta Institute of Technology
Author:
Ayopo Odunuga
Milad Sabeti
Yoni Porat
Date Added:
08/15/2019
Applied Mathematics, Third Edition
Only Sharing Permitted
CC BY-ND
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Applied Mathematics, Third Edition. This textbook was written for the math component for Associate of Applied Science degrees at the College of Southern Nevada.

Subject:
Career and Technical Education
Geometry
Mathematics
Measurement and Data
Numbers and Operations
Ratios and Proportions
Statistics and Probability
Material Type:
Textbook
Date Added:
08/16/2019
Applied Math for Food Service
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CC BY
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NSCC MATH 1020

Short Description:
Applied Math for Food Service is an adapted open textbook created by Amy Savoury. This new open textbook remixes content from two open textbooks published by BC Campus under CC BY licences: Basic Kitchen & Food Service Management by The BC Cook Articulation Committee, and Math for Trades by Chad Flinn and Mark Overgaard.

Word Count: 26676

ISBN: 978-1-990641-68-8

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Career and Technical Education
Culinary Arts
Mathematics
Measurement and Data
Material Type:
Textbook
Provider:
NSCC
Date Added:
07/01/2021
BUSI1915 - Fundamentals of Business Mathematics
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CC BY-NC-SA
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Business math is the study of mathematics required by the field of business. Business professionals will work with taxes, gross earnings, product prices, and currency exchange; they will be offered loans, lines of credit, mortgages, leases, savings bonds, and other financial tools. This textbook covers all of these topics and how these financial tools can maximize their earnings and minimize their costs. It also discusses how to execute smart monetary decisions both personally and for their business.

Subject:
Mathematics
Material Type:
Textbook
Provider:
eCampusOntario
Author:
OER Lab
Date Added:
08/25/2021
Calculus with Applications
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CC BY-NC-SA
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This is an undergraduate course on differential calculus in one and several dimensions. It is intended as a one and a half term course in calculus for students who have studied calculus in high school. The format allows it to be entirely self contained, so that it is possible to follow it without any background in calculus.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Kleitman, Daniel
Date Added:
02/01/2005
College Algebra for the Managerial Sciences
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CC BY-SA
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Short Description:
This book was gathered to use in a 100-level mathematics course at the College Algebra level. Students are expected to begin at an intermediate algebra level. It is geared primarily toward business majors, it can also be useful for social science and other majors as a quantitative studies course.

Word Count: 85748

Included H5P activities: 7

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Mathematics
Material Type:
Textbook
Author:
Eric Foley
Terri Manthey
Date Added:
10/11/2021
Common Core Problem Based Curriculum Maps – emergent math
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CC BY-NC
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The following Problem Based Learning (PrBL) curriculum maps are based on the Math Common Core State Standards and the associated scope and sequences. The problems and tasks have been scoured from thoughtful math bloggers who have advanced math educator practice by posting their materials online.

Subject:
Mathematics
Material Type:
Full Course
Syllabus
Author:
Emergent Math
Geoff Krall
Date Added:
04/13/2021
Electric Motorcycle Race
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CC BY-NC
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Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning.  The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students.  MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics.  The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

Subject:
Mathematics
Material Type:
Homework/Assignment
Author:
Mark Freed
Tom Thompson
Date Added:
07/27/2020
Electric Motorcycle Race (remix)
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CC BY-NC
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Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning.  The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students.  MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics.  The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

Subject:
Mathematics
Material Type:
Homework/Assignment
Author:
Dung Nguyen
Date Added:
11/18/2021
Electric Motorcycle Race (remix)
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CC BY-NC
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Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning.  The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students.  MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics.  The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

Subject:
Mathematics
Material Type:
Case Study
Author:
Dung Nguyen
Date Added:
11/18/2021
Finite Element Analysis of Solids and Fluids I
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CC BY-NC-SA
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This course introduces finite element methods for the analysis of solid, structural, fluid, field, and heat transfer problems. Steady-state, transient, and dynamic conditions are considered. Finite element methods and solution procedures for linear and nonlinear analyses are presented using largely physical arguments. The homework and a term project (for graduate students) involve use of the general purpose finite element analysis program ADINA. Applications include finite element analyses, modeling of problems, and interpretation of numerical results.

Subject:
Applied Science
Engineering
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Bathe, Klaus-Jürgen
Date Added:
09/01/2009
Flu Math Games
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CC BY-NC-SA
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This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled. During this lesson, students will see and use both deterministic and probabilistic models and will learn by doing through role-playing exercises. The primary exercises between video segments of this lesson are class-intensive simulation games in which members of the class 'infect' each other under alternative math modeling assumptions about disease progression. Also there is an occasional class discussion and local discussion with nearby classmates.

Subject:
Biology
Life Science
Social Science
Sociology
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Mai Perches
Richard C. Larson
Sahar Hashmi
Date Added:
07/12/2014
How to Calculate Sea Ice Changes
Read the Fine Print
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This set of three videos illustrates how math is used in satellite data analysis. The videos feature NASA senior climate scientist Claire Parkinson. Parkinson explains how the Arctic and Antarctic sea ice covers are measured from satellite data and how math is used to determine trends in the data. In the first video, she leads viewers from satellite data collection through obtaining a time series of monthly average sea ice extents for November 1978 – December 2012, for the Arctic and Antarctic. In the second video, she begins with the time series from the first video, removes the seasonal cycle by calculating yearly averages, and proceeds to calculate the slopes of the lines to get trends in the data, revealing decreasing sea ice coverage in the Arctic and increasing sea ice coverage in the Antarctic. In the third video, she uses a more advanced technique to remove the seasonal cycle and shows that the trends are close to the same, whichever method is used. She emphasizes the power of math and that the techniques shown for satellite sea ice data can also be applied to a wide range of data sets.

Subject:
Applied Science
Atmospheric Science
Engineering
Geoscience
History
History, Law, Politics
Mathematics
Physical Science
Technology
Material Type:
Data Set
Lecture Notes
Provider:
NASA
Provider Set:
NASA Wavelength
Date Added:
11/05/2014
Integral Equations
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CC BY-NC-SA
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This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.

Subject:
Calculus
Mathematics
Physical Science
Physics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Margetis, Dionisios
Date Added:
02/01/2006
Introduction to Computational Thinking
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CC BY-NC-SA
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This class uses revolutionary programmable interactivity to combine material from three fields -- Computer Science + Mathematics + Applications -- creating an engaging, efficient learning solution to prepare students to be sophisticated and intuitive thinkers, programmers, and solution providers for the modern interconnected online world.
Upon completion, students are well trained to be scientific “trilinguals,” seeing and experimenting with mathematics interactively as math is meant to be seen, and ready to participate and contribute to open source development of large projects and ecosystems.

Subject:
Applied Science
Career and Technical Education
Computer Science
Engineering
Environmental Science
Environmental Studies
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Edelman, Alan
Leiserson, Charles
Sanders, David
Date Added:
09/01/2022
Introduction to a Flight Computer
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Educational Use
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This series of lessons focuses on exposing high school math students to relevant applications in the aviation industry. This is the first in the series for the Integrated Math 2 level. This can be taught in conjunction with Unit 1 Lesson 2 – Reading Airline Maintenance Graphs but can also be a stand-alone lesson. In this lesson, students will explore the use of a Flight Computer (E-6B) to solve Time-Speed-Distance (TSD) problems.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
North Carolina State University
Provider Set:
Kenan Fellows Program for Curriculum and Leadership Development
Author:
Allison George
Date Added:
03/03/2016
Lies, Damned Lies, or Statistics, v2
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CC BY-SA
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How to Tell the Truth with Statistics

Short Description:
A short and friendly introduction to the basics of how to think about, collect, and interpret data in order to answer questions about the world we live in and to advance our understanding of a range of subjects studied at university, to be used in support of a one-semester statistics class.

Word Count: 3134

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Mathematics
Material Type:
Textbook
Author:
Jonathan Poritz
Date Added:
04/21/2019