Advanced multisensory math is child's play when you have base 10 manipulatives that Students can get their hands on. If the students have been playing with blocks and making drawings, And concepts that are not easily modeled with base 10 blocks can be sketched Which is tremendously helpful. Adding the visual component can make all the difference. Here is a PDF that carries some weight (although it's a little late) from Stanford: SEEING AS UNDERSTANDING: The Importance of Visual Mathematics for our Brain and Learning.
Remember the basic skill sets that you need to do "Advanced" Mortensen mathematics is the ability to count to 9, form a rectangle and tell me whether something the same or different or not. Lessons on this page were designed for young children...Many of the concepts can be introduced at a very early age; however their inexperience and inability to count quickly via the Basic Operations (Addition, Subtraction, Multiplication Division) increases the cognitive load to the point where understanding is lost. Check out Module Two for more on how to keep the numbers small & the concepts big.
If you can count to nine, form a rectangle and tell me if something same or different or not, you should be fine on every single one of these pages. These pages are designed for the 10 and under crowd.
Pythagorean Theorem. a2 + b2 = c2 This page makes Pythagorean Theorem child's play. You will see it applied to distance formula and story problems. You also get about five minutes of me playing in a second grade classroom in a public school. Spend some time on this page and Pythagorean theorem for little kids will be easy and you'll understand how to teach it to them.
This Trig page ALONE is again worth the entire cost of all four modules in a lifetime passport...I have heard that many times now. Getting people to comment and write testimonials is like pulling teeth. The fact that I have so many in and of itself should be a clue to some of you. Please go back and leave comments good bad or indifferent on these pages so people can see it's not just me.
The Trig To Eight Year Old's Page breaks down basic trig functions like SIN, COS and TAN and make them concrete and understandable. Finding angles and sides is easy when you can get you hands on it and understand what the words mean and what the questions are asking. Actual lessons show you how to show your kids (or yourself) how easy trig can be.
Advanced Algebra: This page show how to do negative expressions and integers as well as graphing polynomials, some story problems and more. Shows little kids doing "advanced" math. The point is not that they are geniuses the point is if they can do it you can do it and learn how o show your kids too. There is NO PLACE else you will find 5 and 6 year olds factoring problems like x² - x - 6 or 8 year olds factoring third and fourth power polynomials and HAVING FUN DOING IT. They ask for it.
Check out Oscar's Page. This page has eight videos covering more advanced topics. Graphing polynomials, vertex form, problem solving, trigonometry, plotting secant lines, boat & current and more
Functions & Relationships This is a pdf of one of the old out of print Series A manuals. Clears up a lot of issues students have with pre-calculus concepts and shows you how to do some basic water tank and constant rate problems with a half hour video. Again, nobody is showing you how to do this kind of math with the ten and under crowd. NOBODY. http://www.crewtonramoneshouseofmath.com/Series-A-Manual-Functions-And-Relationships.html
Pythagorean Theorem This page makes Pythagoras' theory super easy to understand and completely visually obvious! Any little kid it can do this. In fact, you'll see little kids doing it on the page. I used to teach these lessons to second graders. A great lesson to dovetail into after you've built some squares and a maybe even pyramid out of squares. http://www.crewtonramoneshouseofmath.com/pythagorean-theorem.html
Derivation of pi. This is a presentation that again you won't find anywhere else. Shows you how to show why it's πr². Rather than just memorize a formula, understand how the formula was derived and what it means starting with length times width. Finding area always boils down to making rectangles.
Derivation of the Quadratic equation. Shows you how to use blocks & pictures to explain and understand the quadratic equation...So that's not just a string of symbols to memorize which mean little to nothing.
Superduper Supersecret Math Group on Facebook. If you would like to join send me an e-mail as well, just hit the "contact us" link Put "SSMG" in the subject line and tell me what name to look for...Many times your email account, PayPal account, and your Facebook account names do not match...
The benefits of joining that group are
1) You get updates & the new stuff first. For example those members got the Series A and Winter Training months before the rest of the lifetime members did..
2) You can ask questions and get help from me and other experienced Mortensen Math Users
3) You can set up playtime with others anywhere on the planet using various video chat software
4) From time to time I make videos that answer questions from the members, which means there's quite a bit of unique content there.
If you do join, scroll all the way down to the bottom of the page and work your way up.
Lifetime Passwords are just that...you get a pass for a lifetime. Pay once and you are good, forever. Come back as often as you like. Watch vids, download PDFs. You get all my passwords to get through all my pay walls all for one low price...currently that takes 4 passwords. When you purchase the LIFETIME PASSPORT you get it all for one low price: $399.99...
Or you can purchase individual modules, & get a lifetime of access. Hit the Contact Us tab for the PayPal link.
Or you can purchase individual modules for year, or buy a passport of four passwords for just a year for one low price.
One module for a lifetime just $111.00. One module for a year, just $40.00.
Lifetime: $111 @ Mod or $399.99 Mod 1-4.
12 Payments of $37.
Annual: $40.00 @ Mod or $137.00 Mod 1-4.
6 Payments of $24.99
MOD 1: Series A+ Easy PZ + PDFs
MOD 3 : Sitewide
MOD 4: "Advanced Pages" + SSDSS Facebook Math Group
I have lots of explanatory videos to make and add. I also have several entry or landing pages to build. When the dust settles it should be much easier to navigate, to get started, & to know what to do next.
Another Added Bonus:
I rarely recommend YouTube channels. But here are several that are excellent.
Numberphile & Numberphile2 Are excellent channels. They give great exclamations about mathematical concepts. This should definitely be one of your bookmarked or subscribed to YouTube pages. Hours of fun Math Enrichment here.
"3Blue1Brown." He has over 1 million subscribers. Many of his videos are priceless. He has quite a few videos on all manner of topics. There are a couple of them that I like so much they actually appear on some of my pages because he does such excellent animations, some of them are perfect for use with base 10 blocks.
Another channel I like very much is James Tanton's YouTube channel.
He also has so many videos it might take you quite a while to find a video like this:
I show you how to graph polynomials using base 10 blocks. I also make it as easy as 1,2,3. I have shown this video to high school students who were having difficulty graphing polynomial's. As one student said, "that didn't help." But then we went over it using blocks...And suddenly this video made perfect sense. Other students watch this video & it clears things up. All by itself.
I find lessons on completing the square & factoring are important to understand before you tackle that vid.
It is impossible for a man to learn what he thinks he already knows.” ~Epictetus
“Knowledge will forever govern ignorance; and a people who mean to be their own governors must arm themselves with the power which knowledge gives.” ~James Madison
"Much learning does not teach understanding." ~Heraclitus
More education quotes.