Advanced Algebra II: Conceptual Explanations
This is the Conceptual Explanations part of Kenny Felder's course in Advanced Algebra II. It is intended for students to read on their own to refresh or clarify what they learned in class. This text is designed for use with the "Advanced Algebra II: Homework and Activities" and the "Advanced Algebra II: Teacher's Guide" collections (coming soon) to make up the entire course.
Applied Finite Mathematics
This module contains all 10 chapters of the Applied Finite Mathematics open textbook by Rupinder Sekhon. NOTE: This book is a work in progress and has not yet been marked up in CNXML. You can download individual chapter files from their respective modules.
Elementary Algebra
Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.
Fast Fourier Transforms
This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, ...
Fast Fourier Transforms (6x9 Version)
This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, ...
Introductory Material to The Good Book: Thirty Years of Comments, Conjectures and Conclusions
Introductory essays and interview to The Good Book: Thirty Years of Comments, Conjectures and Conclusions by I.J. Good, edited by David Banks and Eric P. Smith. The collection includes an introduction by Good, a long and thorough interview with him, and three appreciations of his work. I.J. Good is ...
Mouse Experiment
This Flash based applet simulates data from a case study of treatments for tumor growth in mice. This simulation allows the user to place mice into a control and treatment groups.
Introduction to Minitab
This laboratory introduces students to the basics of the Minitab software. Students make use of a basic example (water consumption and temperature) to introduce students to manipulation of data, calculation of descriptive statistics, and creation of histograms.
Categorical Data Activity
This activity will allow students to familiarize themselves with technology and its use in calculating marginal, conditional, and joint distributions, as well as making conclusions from these tabular and graphical displays.
Introduction to Experiments Activity
This activity will allow students to learn the difference between observational studies and experiments, with emphasis on the importance of cause-and-effect relationships.
Inference for Means Activity
This activity enables students to learn about confidence intervals and hypothesis tests for a population mean. It focuses on the t-distribution, the assumptions for using it, and graphical displays.
Inference for Proportions Activity
This activity provides practice for constructing confidence intervals and performing hypothesis tests. In addition, it stresses interpretation of confidence intervals and comparison and application of results in context.
Quantitative Data Activity
The activity involves a set of data dealing with the percentage difference between measure calories and labeled calories of particular items, in two categories, per item and per gram. Students are asked to make stem-and-leaf plots, dotplots, and histograms of the two variables. The students are then ...
Regression Activity
This activity focuses on basic ideas of linear regression. It covers creating scatterplots from data, describing the association between two variables, and correlation as a measure of linear association.
Sample Survey Activity
This activity stresses the importance of writing clear, unbiased survey questions. It explore the types of bias present in surveys and ways to reduce these biases.
Learning Objectives for Introductory Statistics
This text document lists detailed learning objectives for introductory statistics courses. Learning objectives are brief, clear statements of what learners will be able to perform at the end of a course.
Sampling from a Real Estate Database
This material is a detailed exercise for students in introductory statistics. Students are asked to collect a random sample of data from a real estate website; conduct descriptive statistics (including confidence intervals); and write a report summarizing their findings.
Star Library: Sampling Distributions of the Sample Mean and Sample Proportion
In these activities designed to introduce sampling distributions and the Central Limit Theorem, students generate several small samples and note patterns in the distributions of the means and proportions that they themselves calculate from these samples.
Star Library: Simulating Size and Power Using a 10-Sided Die
This group activity illustrates the concepts of size and power of a test through simulation. Students simulate binomial data by repeatedly rolling a ten-sided die, and they use their simulated data to estimate the size of a binomial test.
Star Library: Regression on the Rebound
This activity is an advanced version of the “Keep your eyes on the ball” activity by Bereska, et al. (1999). Students should gain experience with differentiating between independent and dependent variables, using linear regression to describe the relationship between these variables, and drawing inference ...
