Mathematics Dept., Eastern Michigan University

Many students who will become high school math teachers take a statistics class aimed at non-teaching math and science majors. This coursepack is to help pre-service teachers think about how they will need to teach stats in their classrooms.

Some other schools have a course specifically for teachers. You can find many of these by doing an internet search for "statistics for teachers" (including the quotes), for example, or any similar search.

- The Common Core State Standards for Mathematics are a nearly-nationwide description of what should be learned in K-12 math, and they include a lot more probability and statistics than most previous curriculum standards.

Perhaps you should read through them and make a list of all the prob/stats topics for yourself, then keep track of which of them you learn during your college statistics course! - More detailed illustrations/tasks for the statistics standards at Illustrative Mathematics.
- Khan Academy videos aligned with Common Core State Standards; once on the page, search for statistics, or probability.
- The Guidelines for Assessment and Instruction in Statistics Education (GAISE) reports, from the American Statistical Association, also talk about what is important in statistics.
- Not everyone will be teaching Advanced Placement Statistics (and just one college stats course isn't enough preparation!), but knowing what is in the AP Stats curriculum is a good idea!
- A guide regarding the preparation of math teachers was prepared at a conference on the Mathematical Education of Teachers (MET2). It discussed whether typical college statistics courses are enough to prepare future teachers for what they will need to teach. You can read their recommendations here, in their Statistics and Probability report. (local .docx copy, local html copy)
- Each year there's a statistics project/poster contest for grades K-12. They have posted a lot of good guidelines for what makes a stats project or poster good; of course they apply to college-level projects too.
- Statway, a curriculum that combines developmental math and statistics (mostly at community colleges).

- Statistics Education Research Journal, or SERJ.
- Journal of Statistics Education, or JSE.
- STatistics Education Web (STEW), an online journal of K-12 statistics lesson plans
- The American Statistician has a Teacher's Corner section. Perhaps it is not freely available, though.

- USCOTS: US Conference on Teaching Statistics
- eCOTS: electronic Conference on Teaching Statistics
- ICOTS: International Conference on Teaching Statistics; in 2014 it will be in Flagstaff, Arizona
- JSM: Joint Statistical Meetings (the American Statistical Association, among others)
- NCTM: National Council of Teachers of Mathematics conferences often have some statistics-teaching talks
- DACTM: Detroit Area Council of Teachers of Mathematics; their conference each Fall has some statistics-teaching talks
- PME-NA: Psychology of Mathematics Education (North America); Fall 2012 is in Kalamazoo, MI

- Chance News has stats-related items from various newspapers, web sites, etc.
- The Data and Story Library - StatLib, an online library of datafiles and stories that illustrate the use of basic statistics methods.
- Quantitative Environmental Learning Project (QELP)
- CAUSEweb has a variety of resources.

These blogs are a good source of examples, but are not particularly focused on teaching methods:

- Andrew Gelman's blog
- New York Times graphics department
- Freakonomics blog
- List of top statistics blogs

- The Practice of Statistics, Second Edition by Dan Yates, David S. Moore and Daren S. Starnes, which is the most popular AP Stats book.
- Stats: Modeling the World by Bock, Velleman, and De Veaux (amazon)
- Introduction to Statistics and Data Analysis, 4th Edition by Peck, Olsen and Devore (amazon)
- Statistics: From Data to Decision, 2nd Edition by Watkins, Scheaffer, and Cobb (amazon)
- Statistics: The Art and Science of Learning From Data by Agresti and Franklin (amazon)

- Teaching Statistics: A Bag of Tricks, by Gelman and Nolan (amazon)
- Teaching Statistics: Resources for Undergraduate Instructors, edited by Thomas L. Moore (amazon)
- Assessment methods in statistical education : an international perspective / edited by Penelope Bidgood, Neville Hunt, Flavia Jolliffe (amazon)
- Focus in high school mathematics : reasoning and sense making in statistics and probability / by J. Michael Shaughnessy, Beth Chance, Henry Kranendonk (amazon)
- Teaching statistics in school mathematics-challenges for teaching and teacher education:a joint ICMI/IASE study / edited by Carmen Batanero, Gail Burrill, Chris Reading (amazon)
- Statistical questions from the classroom / J. Michael Shaughnessy and Beth Chance, with George Cobb, Sandra Takis, Jacqueline Stewart. (amazon)

- How to compute a mean and standard deviation from a data set
- addition rule for probability
- conditional probability formula
- How to compute or invert a z-score: z_i = (x_i - mu)/sigma or (x_i - xbar)/SD
- the Binomial Distribution probability mass function and mean
- The generic confidence interval formula : estimate +/- constant*(SE of estimate)
- The basic formula for many test statistics

- all the stuff under the Stat key
- statplot window -- use all the 6 types (box&whisker, normal prob. plot like AP Stats does)
- calculator automatically stores the residuals so you can plot them.
- RandomInteger at least, possibly RandomNormal, etc.
- need to turn on the display of the correlation coefficient

- Association-related items in the Common Core State Standards, our own list.
- Unit plan for association
- In-class Excel worksheets, part 1
- In-class Excel worksheets, part 2

Homework assignments (email to request solution keys): - Categorical association, for both teachers and nonteachers
- Categorical association, for teachers
- Quantitative association, part 1, for both teachers and nonteachers
- Quantitative association, parts 1 and 2, for teachers, and PDF version
- Quantitative association, part 2, for both teachers and nonteachers
- Quantitative association, correlation vs causation, for both teachers and nonteachers
- Journal article reading assignment on correlation vs causation, etc.

- StatTrek
- stats4stem has lots of AP Stats questions, hints, etc.
- UCLA Probability and statistics EBook
- OpenIntro free online statistics textbook
- Rice University online statistics book
- Carnegie Mellon Univ. online statistics course (free!)
- Book: What is a P-value anyway? : 34 stories to help you actually understand statistics / Andrew Vickers (amazon)
- Book: The Cartoon Guide to Statistics/ Gonick and Smith (amazon)
- Book: The Manga Guide to Statistics/ Shin Takahashi (manga, roughly speaking, is Japanese comic/cartoon books) (amazon)
- Statistical Modeling: A Fresh Approach / Daniel Kaplan (amazon)
- Seeing through Statistics / Utts (focuses on statistics literacy) (amazon)
- Book: Practicing Statistics / Kuiper and Sklar (a book for a 2nd course) (amazon)
- Khan Academy videos on statistics

- TI-83/84 or TI-Nspire: Simple internet searches will find a lot of material. Here is one particularly good site
- TinkerPlots is commercial software for learning about graphing data, aimed at grades 4-9.
- Fathom is commercial software for statistics and calculus, aimed at secondary students.
- R (yes, just a single letter) is free software for doing high-power statistics. There is even a way to link it to Excel.