ONLINE SKETCHPAD WITH ANGLES HOW TO
ONLINE SKETCHPAD WITH ANGLES FULL
ONLINE SKETCHPAD WITH ANGLES SOFTWARE
ONLINE SKETCHPAD WITH ANGLES FREE

I believe I learned to give better math explanations than most, didn’t believe that you either have a ‘m,ath gene’ or you don’t, at times had some interesting projects, and at times was very patient and clear, but had a terrible temper and often not good at defusing things. (I won’t say I was a perfect person or a perfect teacher.

ONLINE SKETCHPAD WITH ANGLES FULL

Of course, doing this while being a daddy to 2 kids, and still trying to teach JHS math to a full load of students (100 to 150 different kids a day at Francis Junior High School) and running a school math club and later coaching soccer.

ONLINE SKETCHPAD WITH ANGLES FREE

So when I saw some great ideas that would be ideal for kids to use on computers to make thinking about numbers, graphs, and equations actually fun and mentally engaging, often I would have to write them my self during whatever free time I could catch, at nights and weekends.

ONLINE SKETCHPAD WITH ANGLES SOFTWARE

We had Commodore-64’s which were totally incompatible and there were very few companies (Sunburst was one) putting out any decent software for the latter. For the first ten years that my school system there was almost no decent useful software for math teachers to use with their classes unless you had AppleII computers.

ONLINE SKETCHPAD WITH ANGLES HOW TO

I learned how to write programs in BASIC on one of the very first time-share networks, 45 years ago. Keep in mind: I’m no Luddite! I realized early on that in math, science, and art, computers would be very, very useful. (Not all – I got officially reprimanded for telling my department chair that ‘Renaissance Math’ was either a ‘pile of crap’ or a ‘pile of shit’ to my then-department head, in the hearing of one of the APs, on a teacher-only day. Also when I was required to use them in my own classes, over a decade ago, I and most of my colleagues found them a waste of time.

God, what a waste of time – from personal experience attempting to be a volunteer community math tutor at such a school, and also from my experience as a paid or volunteer tutor in helping many many students who have had to use such programs as homework. It would be a lot better use of computers than forcing kids to painfully walk through (and cheat, and goof off a lot) when an entire class is forced to use one of those very expensive but basically worthless highly-centralized, district-purchased computer-managed-instruction apps. * assuming that the teacher are still allowed to initiate and carry out interesting projects for their students to use, and aren’t forced to follow a scripted curriculum. Placing one mirror at a slight angle causes the reflections to curve. When two mirrors are parallel to each other, the number of reflections is infinite.

I am reproducing a couple of the images and text that Angel Gilding provides on their website(which they set up to sell silvering kits (about which I’ve posted before, and which I am going to attempt using pretty soon, on a large astronomical mirror I’ve been polishing for quite some time)).

(You can find many easy directions online for doing just that some kits are a lot more optically perfect than others, but I don’t think I’ve even seen a kaleidoscope that had its mirrors set at any angle other than 60 degrees!) Students could also end up making their own kaleidoscopes – either with little bits of colored plastic at the end or else with some sort of a wide-angle lens. This could be done with actual mirrors and a protractor, or with geometry software like Geometer’s Sketchpad or Desmos. Here is some information that teachers at quite a few different levels could use* for a really interesting geometry lesson involving reflections involving two or more mirrors, placed at various angles!Ĭertain specific angles have very special effects, including 90, 72, 60, 45 degrees … But WHY?

Online sketchpad with angles