Hi One reason I like probability and binomial in intro stats (despite student protest) is that students can determine p distribution if H0 true, without calculus. And provides a concrete foundation for normal distribution, which binomial approaches as n increases.
Also possible to use simulations to show the resulting probability distributions agree nicely with theoretical ps produced by calculus. Although calculus allows for alternative (deeper?) understanding of distributions, not clear that it is necessary. Of course, calculus has other benefits for stats, such as proof that SS is a minimum. Take care Jim Sent from my iPhone > On Oct 1, 2014, at 5:42 AM, "Miguel Roig" <ro...@stjohns.edu> wrote: > > Chris, I believe that we have had discussions here about the practicality of > teaching students to do hand calculations from formulas given the wide > availability of statistical software. If so, do those who learn in classes in > which the emphasis is primarily conceptual and software-based even taught how > to look up p values in those tables? :) > > Miguel > > -----Original Message----- > From: Christopher Green [mailto:chri...@yorku.ca] > Sent: Tuesday, September 30, 2014 6:15 PM > To: Teaching in the Psychological Sciences (TIPS) > Subject: Re: [tips] Teach statistics before calculus > > Funny, just earlier today I was saying that the reason so many students have > so much trouble with the (continuous) statistics that we teach in psychology > is that we are essentially trying to teach them a topic that requires a > knowledge of calculus without making them take calculus first. That's what > all those tables in the back of the book are: they integrate over probability > distributions so that we can lookup (rather than calculate directly) the > proportion of area up to a given x-axis value (z, t, F, chi-square, etc.). > > So this guy might be right that stats is at the top of the pyramid, but only > because it passes directly through calculus. > > Chris > ..... > Christopher D Green > Department of Psychology > York University > Toronto, ON M3J 1P# > Canada > > chri...@yorku.ca > http://www.yorku.ca/christo > ....................................... > >> On Sep 30, 2014, at 5:04 PM, Miguel Roig <ro...@stjohns.edu> wrote: >> >> It's only 3 minutes long and there is probably nothing here that you don't >> already know, but I thought it was worth sharing. >> >> http://www.ted.com/talks/arthur_benjamin_s_formula_for_changing_math_education >> >> Miguel >> ___________________________________________________________________________ >> Miguel Roig, Ph.D. >> Professor of Psychology >> St. John's University >> 300 Howard Avenue >> Staten Island, New York 10301 >> Voice: (718) 390-4513 >> Fax: (718) 390-4347 >> E-mail: ro...@stjohns.edu >> http://facpub.stjohns.edu/~roigm >> http://orcid.org/0000-0001-5311-5651 >> On plagiarism and ethical writing: >> http://ori.dhhs.gov/education/products/plagiarism/ >> ___________________________________________________________________________ >> --- >> You are currently subscribed to tips as: chri...@yorku.ca. >> To unsubscribe click here: >> http://fsulist.frostburg.edu/u?id=430248.781165b5ef80a3cd2b14721caf62bd92&n=T&l=tips&o=38783 >> or send a blank email to >> leave-38783-430248.781165b5ef80a3cd2b14721caf62b...@fsulist.frostburg.edu >> > > > --- > You are currently subscribed to tips as: ro...@stjohns.edu. > To unsubscribe click here: > http://fsulist.frostburg.edu/u?id=1632838.7e62b84813297f170a6fc240dab8c12d&n=T&l=tips&o=38787 > or send a blank email to > leave-38787-1632838.7e62b84813297f170a6fc240dab8c...@fsulist.frostburg.edu > > --- > You are currently subscribed to tips as: j.cl...@uwinnipeg.ca. > To unsubscribe click here: > http://fsulist.frostburg.edu/u?id=13251.645f86b5cec4da0a56ffea7a891720c9&n=T&l=tips&o=38803 > or send a blank email to > leave-38803-13251.645f86b5cec4da0a56ffea7a89172...@fsulist.frostburg.edu --- You are currently subscribed to tips as: arch...@mail-archive.com. To unsubscribe click here: http://fsulist.frostburg.edu/u?id=13090.68da6e6e5325aa33287ff385b70df5d5&n=T&l=tips&o=38805 or send a blank email to leave-38805-13090.68da6e6e5325aa33287ff385b70df...@fsulist.frostburg.edu
