Teaching Materials for Mathematical, QR and Statistical Skills
(1) Number Sense
It is also worth noting that for many of the topics listed below (e.g., software skills such as Excel), there are tutorials available on Youtube, many of which are very useful.
Abbott and Costello 13 x 7 = 28 video
(1) Number Sense
Fun math for kids (and adults, too!). This web site has a lot of interactive exercises (e.g., how many seconds have you been alive?) as well as ideas for teaching mathematics and quantitative literacy. For example, there is a link on math and children's literature. An essay contest page also features some interesting examples for writing about numbers.
National Council of Teachers of Mathematics Information on Number Sense
The MegaPenny Project visualizes numbers. "The MegaPenny Project aims to help by taking one small everyday item, the U.S. penny, and building on that to answer the question: 'What would a billion (or a trillion) pennies look like?'"
An informational web page for developing a child's number sense.
(2) Mathematical Skills
The Algebra Lab is "an online learning environment that focuses on topics and skills from high school mathematics that students must be able to draw upon in their introductory science courses." Click on activities for a collection of topics for which hands-on activities have been written.
This web site offers tutorials and instruction on a variety of mathematical topics (e.g., properties of numbers, working with fractions, geometry, algebra, etc.).
Free mathematics tutorials, problems and worksheets (with applets).
COMAP is "an award-winning non-profit organization whose mission is to improve mathematics education for students of all ages."
Lessons and games for mathematics education.
Units for a variety of fundamental mathematics skills including decimals, estimation, ratios, proportions, rates, and many more.
A library of Fermi questions (with annotated solutions). There are many other web sites with Fermi questions; see, e.g., Science Olympics.
Math Is Fun
A library of over 3,200 educational videos on a variety of topics including mathematics, science, economics and finances, humanities, and test preparation.
This web site reviews a variety of fundamental mathematical and quantitative skills (e.g., numbers, algebra, geometry, data [including using and handling data, probability and statistics, and graphing]).
Check out the Mathematics Help Reference for resources on a variety of fundamental mathematical skills (e.g., decimals, factions, ratios and proportions, etc.).
"Real mistakes from real student work and math facts students should know."
Math Words is "an interactive math dictionary with enough math words, math terms, math formulas, pictures, diagrams, tables, and examples to satisfy your inner math geek."
An online calculator that solves math problems and also has example problems.
NCTM's Core Math Tools "is a downloadable suite of interactive software tools for algebra and functions, geometry and trigonometry, and statistics and probability."
An online math web site that covers a variety of topics including arithmetic, algebra, geometry, math word problems, trigonometry, statistics, probability, precalculus, calculus, set theory, matrices, and vectors.
ThinkQuest includes more than 200 mathematics web sites created by students who have participated in a ThinkQuest competition. Users can search by topic (e.g., algebra, arithmetic, calculus, chaos theory, fractals, geometry, puzzles, statistics, trigonometry, etc.).
These are "fun, interactive research-based simulations of physical phenomena PhET™ project at the University of Colorado." In particular, check out the math exercises, many of which are particularly relevant to QR.
Project Quantum Leap
A web site dedicated to improving students' learning of mathematics by providing professional development services, products and resources to educators.
A collection of resources put forward by the Department of Mathematics, Engineering and Computer Science at LaGuardia Community College of the City University of New York (CUNY) for teaching basic mathematical skills using a contextualized approach.
Web site which offers free online tutoring and lessons.
This website features "individual units embedding upper-level arithmetic into a variety of subject areas. Every unit is real application of mathematics in which student develop quantitative reasoning skills and learn more about the reality of the context."
The goals of Interactivate are "the creation, collection, evaluation and dissemination of interactive Java-based courseware for exploration in science and mathematics. Check their tools for resources on a variety of mathematical topics (e.g., numbers and operations, geometry, algebra, probability, statistics, modeling, discrete, trigonometry, calculus, etc.).
University of Illinois Office for Mathematics, Science and Technology Education
S.O.S. Math is a "free resource for math review from Algebra to Differential Equations."
A large collection of resources (including interactive units and lessons) on mathematics topics including Numbers and Operations, Algebra, Geometry, Measurement, Data Analysis and Probability, Problem Solving, Reasoning and Proof, Communication, Connections, and Representation.
A web site that focuses on understanding mathematics through insight, concept, and perception.
A web site that includes resources for math for everyone; general math; k-8 math; algebra; plots and geometry; calculus, etc.
A problem-solving math curriculum using spreadsheets.
(3) Software Skills, Primarily Spreadsheets
An introduction to Minitab tutorial.
Spreadsheet Software (including Excel and Google Spreadsheets)
There are numerous tutorials available online and a small sampling is indicated below:
The "Excel is fun" channel on youtube is dedicated to Excel education.
A project (Len Vacher, PI) to develop and test educational spreadsheet modules that enhance quantitative literacy.
Web site offers tutorials on a variety of software programs including Mathematica, spreadsheets, Stella, and Matlab.
(4) Quantitative and Statistical Skills
Australasian Data and Story Library
A video instructional series on statistics for college and high school classrooms and adult teachers.
OzDASL "is a library of data sets and associated stories. It is intended as a resource for teachers of statistics in Australia and New Zealand and elsewhere. Emphasis is given to data sets with an Australasian context, although interesting data sets from anywhere in the world are included."
This is a collection of online and open access courses that are freely available. Check out the course on "Statistical Reasoning" for units on a variety of key topics (i.e., exploratory data analysis, producing data, probability and inference).
A collection of resources for a quantitative literacy course designed "to make students more informed, critical readers of current news stories that use probability and statistics."
This applet, which draws on the Old Faithful data set, is designed to teach students how bin widths (or the number of bins) affect a histogram.
A collection of JAVA Applets including the Central Limit Theorem, Confidence Intervals, Histograms, Power, and Regression.
Math Demos with a Positive Impact is a "project to connect mathematics professors with effective teaching tools. As instructors we use a variety of techniques to try to get important ideas across to students. This project focuses on demonstrations that use some form of instructional technology." See, for example, the plinko board demonstration.
This website attempts to help people grasp what large numbers really mean using pennies.
This web page includes a "number of examples, demonstrations, and exercises that can be used to motivate a lecture, demonstrate an important point, or create a laboratory exercise for students." The materials cover a wide range of statistical topics (e.g., descriptives, normal distribution, probability, etc.).
A simple exercise showing probabilities.
A fee-based course, though free trials are available.
P.A.N.D.A is an online textbook that analyzes nutritional data.
The Quantitative Environmental Learning Project provides numerous data sets and covers a variety of math/statistical topics (e.g., linear scatterplots, exponential scatterplots, power scatterplots, etc.) as well as environmental topics (e.g., planet earth, ecology, populations, agriculture, etc.).
Robert Niles' Statistics Every Writer Should Know
This lab offers simulations on a wide variety of topics, e.g., measures of central tendency, correlation, binomial distributions, sampling distributions, etc.
A simple guide to understanding statistics for journalists and other writers.
A large collection of statistics applets on a variety of topics (e.g., mean, median, deviations, correlation, etc.).
A collection of resources for teaching a variety of fundamental statistical and QR skills (including chance demonstrations, surveys, standardizing, grammar drills, and part-whole drills).
Susan Holmes' Probability by Surprise Web Site
Philip B. Stark's online statistics course with graphical data analysis and visualization tools throughout the text.
Tools for Teaching and Assessing Statistical Inference
A variety of applets for experimental paradoxes and visualizing probabilities.
University of Leicester Introduction to Statistical Analyses
This is an NSF-funded project "to develop and disseminate materials that help students learn core concepts underlying statistical inference." It includes "instructional modules that use simulation software to help students develop abstract concepts such as sampling distribution, confidence intervals, p-values, and power."
Virtual Laboratories in Probability and Statistics
An online statistical guide from the biology department at the University of Leicester.
Web Interface for Statistics Education (WISE)
A web site based at the University of Alabama Huntington that provides "free, high quality, interactive, web-based resources for students and teachers of probability and statistics." The project "consists of an integrated set of components that includes expository text, applets, data sets, biographical sketches, and an object library."
A collection of freely available resources for students and teachers of statistics. Web site includes tutorials, Applets, Excel downloads, teaching papers, quick guides, and publications.
(5) Other Existing Inventories of Resources
The Consortium for the Advancement of Undergraduate Statistics Education is a national organization whose mission is to support and advance undergraduate statistics education in four target areas including resources, professional development, outreach, and research.
An inventory of resources of teaching quantitative reasoning skills.
A collection of resources for mathematics instruction based at Brooklyn College.