Developing modelling skills
This unit is the third in the MSXR209 series of five units on mathematical modellng. It provides an overview of the processes involved in developing models, starting by explaining how to specify the purpose of the model. It then moves on to look at aspects involved in creating models, such as simplifying problems, choosing variables and parameters, formulating relationships and finding solutions. You will also look at interpreting results and evaluating models. This unit assumes that you have pr
Merger season for stock exchanges
As there's a flurry of stock exchange merger talks, analysts say the bourses are looking to consolidate to beat competition and to offer new products to investors.
1964 Johnson Campaign Ad
The most famous of all presidential campaign ads, Lyndon Johnson’s “Peace Little Girl (Daisy)” is based on the simple but stunning juxtaposition of a little girl picking petals off a flower with a countdown to a nuclear explosion. This was also the first time that a child was used in a campaign ad. (1:00)
Math in Society
Math in Society is a free, open textbook. This book is a survey of mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for
Data Tool Program
Data Tool is a data analysis tool for plotting and fitting data from laboratory experiments, simulations, video analysis, or any other data set organized into columns. A click of a checkbox in Data Tool allows the user to change the appearance of plots, see standard statistics for the data set or apply built-in linear, quadratic or cubic fits to the data set. Data Tool also includes a number of standard mathematical functions that can be applied to the data set, allowing for further analysis and
Introduction to Nanoscale Science: Surface Area to Volume Ratio Module
Many intriguing phenomena observed in the "nanoworld" can be attributed to the increase in the surface to volume ratio ( SVR ) at the nanoscale. Understanding the surface area effects to volume changes is thus crucial to the understanding of nanoscale phenomena and nanotechnology applications. As an introduction to the nanoworld, the major goals of this module are to (1) give students a feel for just how small the nanoscale is, (2) give students practice in mathematically communicating nanoscale
Algebraic thinking: a basic skill
The resources highlighted here aim to reflect students' growing mathematical capacity over the span of the middle school years. The activities and lessons, intended as supplementary materials, range from introduction to the fundamentals of algebra to work on linear functions. Uniformly, they take into consideration the preference of the middle school student for concrete models, visual representations, and interactive tasks.
Social Capital and the Distribution of Household Income in the United States: 1980, 1990, and 2000
Social capital is a person or group's sympathy or sense of obligation for another person or group. The objects of sympathetic feelings have social capital. Those holding sympathetic feelings for others provide social capital. Because social capital providers internalize the consequences of their choices, they trade with each other on different terms and at different levels that would occur in arm's length transactions, all other things equal. But changes in the terms and level of trade al
Active Participation: Using Math Templates
Using math templates during instruction keeps each student actively involved and allows the teacher to informally assess each student's proficiency with the skills and concepts addressed in the day's lesson. Many teachers regularly use whiteboards to have students record answers, write terms, draw pictures, etc. The use of templates in sheet protectors extends this practice and eliminates the time spent drawing diagrams, etc., allowing students more time to demonstrate mathematical proficiency.
Math Activities for Fall (2007)
These activities were designed to introduce or reinforce important math concepts and skills using seasonal themes. This is a natural fit for elementary classrooms where teachers and students celebrate the various holidays with literature and art projects. These activities allow teachers to also incorporate math activities that develop and support important mathematical concepts and skills.
Gingerbread Man Math
Gingerbread men and gingerbread houses enjoy special popularity around the holidays, but many of these gingerbread activities are timeless and complement literature titles that teachers use at the beginning of school or after the holidays. It's very easy to incorporate mathematics into a study of gingerbread men, and students will enjoy the data collection activities and games while learning math skills and deepening their understanding of important mathematical concepts. Look through these math
Scratch is a new programming language that makes it easy to create your own interactive stories, animations, games, music, and art -- and share your creations on the web. Scratch is designed to help young people (ages 8 and up) develop 21st century learning skills. As they create and share Scratch projects, young people learn important mathematical and computational ideas, while also learning to think creatively, reason systematically, and work collaboratively.
Interdisciplinary Integrated Unit on DNA/Genetics Part B: Math
This lesson is part of an interdisciplinary integrated unit on DNA and genetics. The idea is for students to complete a week's worth of activities in science, math, and language arts. This lesson is Part B: Math. Students will complete a math survey interviewing people on whether they believe humans should or should not be cloned. They will take the data they gather and create computer generated spreadsheets, charts/graphs. Using the charts/graphs, students will answer mathematical percent and r
General Physics I, Summer 2009
This course is the first of a two-part introductory general physics course intended for non-physics majors. Doing well in this course does not require you to be a “genius”, but you will have to think about the physical concepts in order to understand them and you will have to apply these ideas in order to solve computational problems. To accomplish the former, all you really need is your brain (in good working order) and the willingness to use it. To accomplish the latter, you will need s
General Physics II, Spring 2009
This course is the second of a two-part introductory, calculus based, general physics course intended for non-physics majors. The course is designated to train you in a wide variety of problem-solving skills that you will be able to transfer far beyond this physics course. Doing well in this course does not require you to be a “genius”, but you will have to think about the physical concepts in order to understand them and you will have to apply these ideas in order to solve computational p
Vectors: Grade 10
Grade 10: Vectors. Are vectors physics? No, vectors themselves are not physics. Physics is just a description of the world around us. To describe something we need to use a language. The most common language used to describe physics is mathematics. Vectors form a very important part of the mathematical description of physics, so much so that it is absolutely essential to master the use of vectors.
CK-12 Trigonometry (CA Textbook)
This textbook covers topics such as Trigonometry and Right Angles, Circular Functions, Trigonometric Identities, Inverse Functions, Trigonometric Equations, Triangles and Vectors, as well as Polar Equations and Complex Numbers. It can also be used in conjunction with other directed courses in Mathematical Analysis or Linear Algebra as a full course in Precalculus. This digital textbook was reviewed for its alignment with California content standards.
Empirical Research Methods
Regression analysis is an enormously popular and powerful tool, used ubiquitously in the social and behavioral sciences. Most courses on the subject immediately dive into the mathematical aspects of the subject and illustrate the technique on problems that are already highly structured. As a result, most students come away with little idea of the wide range of problems to which regression analysis can be applied and how to represent those problems in a way that cleverly utilizes readily availabl
Introduction to Economic Analysis
This book presents introductory economics ("principles") material using standard mathematical tools, including calculus. It is designed for a relatively sophisticated undergraduate who has not taken a basic university course in economics. It also contains the standard intermediate microeconomics material. 328 page pdf.
This course covered the mathematical topics most directly related to computer science. Topics included: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, graph theory, combinatorics, discrete probability, recursion, recurrence relations, and number theory. Emphasis will be placed on providing a context for the application of the mathematics within computer science. The analysis of algorithms requires the ability to count