On 6/30/13, Kevin wrote: > I have the Differentiated Intstruction with Menus: Math > book, but I am wondering if anyone knows of any sites that > might have examples of finished products from the menus. > My students need a visual piece to see how they would > proceed. If not, it only creates a lot of frustration. > I looked on Pinterest, but didn't see anything. > Thanks in advance for any help.
Very interesting read. Thank you for sharin...See MoreOn 7/03/13, Featured Lesson in July issue of Teachers.Net Gazette wrote: > Click the hyperlink or paste in the url below to read this > interesting, teacher-created activity! > > gazette.teachers.net/gazette/wordpress/teachers-net-lesson-bank/math-word-problem-pen-pals-featured-lesson
It will be a 100% free for use 3D Classroom environment, requiring nothing to install, completely in a web-browser. Each student has a desk and workspace and can roam to other workspaces and screen-share with other students for group projects.
The actual mathematics interaction will involve selecting pieces of an equation, right clicking and picking an operation, such as "complete the square". Another operation is drawing a line through 2 negative signs. Students can play with pieces of the equation, so that they can see and feel the different directions a problem can go.
Each time they make a manipulation, it will save a snapshot of how it used to look, and then animate the operation, so that when they are done, they have each step layed out for them as they would on paper.
The teacher can roam around, select a student's workspace, then rewind and fast forward through their work.
Math needs new and exciting technologies to continue to be interesting as students are pulled in more and more directions. We need to go to where the students are, and on a large part that is playing 3d games.
Another important aspect is the insight of what mistakes students are making. Since it is all automated, it will be easy to graph the operations that were made that did not contribute to the final answer, so we can understand the inappropriate approach and hopefully correct it.
In teaching new subject matter, all operations may be visible when right clicking a piece of the equation, though after they are expected to have learned it, we can ask them to supply what operations are possible. So, they don't just poke around and not learn anything, but are expected to have the knowledge from within.
Transforming math and engaging students, especially in a highly cerebral field such as this, is an ongoing effort that needs to be ever more innovative to illustrate to students the possibilities that open when studying the subject that can be used to predict the universe.
We will be taking applications for alpha testers who want to start getting the benefits of this software right away. Those who apply should be looking for ways to always improve their teaching style, generating increasing interest in students.
Thank You.
P.S. A brief of some softwares to be instituted, in case you were interested. webGL - This is 3d for the browser that can fully utilize the graphics card for high performance immersive environments, such as a classroom.
node.js with socket.io - Real-time connection for many students to be in a virtual classroom that simulates an actual classroom, where the teacher is able to roam from desk to desk to see the students screen
fullscreen & pointerlock api's - this is a minor and easy implementation that has massive power. It turns the browser into a first person camera, the mouse pointer never leaves the screen so the user is walking and looking around within an environment.
While there is no need for outside software support, if you have experience and are interesting in helping, or just giving feedback, comments are welcome.
On 7/04/13, Dan Schumann wrote: > This is an exciting announcement about transformative > mathematics software to inspire more people to stay with > math longer. > > It will be a 100% free for use 3D Classroom environment, > requiring nothing to install, completely in a web-browser. > Each student has a desk and workspace and can roam to other > workspaces and screen-share with other students for group > projects. > > The actual mathematics interaction will involve selecting > pieces of an equation, right clicking and picking an > operation, such as "complete the square". Another operation > is drawing a line through 2 negative signs. Students can > play with pieces of the equation, so that they can see and > feel the different directions a problem can go. > > Each time they make a manipulation, it will save a snapshot > of how it used to look, and then animate the operation, so > that when they are done, they have each step layed out for > them as they would on paper. > > The teacher can roam around, select a student's workspace, > then rewind and fast forward through their work. > > Math needs new and exciting technologies to continue to be > interesting as students are pulled in more and more > directions. We need to go to where the students are, and on > a large part that is playing 3d games. > > Another important aspect is the insight of what mistakes > students are making. Since it is all automated, it will be > easy to graph the operations that were made that did not > contribute to the final answer, so we can understand the > inappropriate approach and hopefully correct it. > > In teaching new subject matter, all operations may be > visible when right clicking a piece of the equation, though > after they are expected to have learned it, we can ask them > to supply what operations are possible. So, they don't just > poke around and not learn anything, but are expected to > have the knowledge from within. > > Transforming math and engaging students, especially in a > highly cerebral field such as this, is an ongoing effort > that needs to be ever more innovative to illustrate to > students the possibilities that open when studying the > subject that can be used to predict the universe. > > We will be taking applications for alpha testers who want > to start getting the benefits of this software right away. > Those who apply should be looking for ways to always > improve their teaching style, generating increasing > interest in students. > > Thank You. > > P.S. A brief of some softwares to be instituted, in case > you were interested. webGL - This is 3d for the browser > that can fully utilize the graphics card for high > performance immersive environments, such as a classroom. > > node.js with socket.io - Real-time connection for many > students to be in a virtual classroom that simulates an > actual classroom, where the teacher is able to roam from > desk to desk to see the students screen > > fullscreen & pointerlock api's - this is a minor and easy > implementation that has massive power. It turns the browser > into a first person camera, the mouse pointer never leaves > the screen so the user is walking and looking around within > an environment. > > While there is no need for outside software support, if you > have experience and are interesting in helping, or just > giving feedback, comments are welcome.
After using a trig identity to re-write sin(x/2) in terms of cos(x), you needed to square both sides of the equation. Squaring both sides can always introduce extraneous solutions - which is what 180 +360k turns out to be. So in this case, checking possible solutions is something that MUST be done to solve the original equation - not something that is optional.
Another quick check that can be done is by graphing both equations simultaneously and locating the intersection points by using a graphing calculator. You will be able to quickly verify all non- extraneous solutions.
For a proposal my colleagues and I intend to submit to the U.S. Department of Education on September 4, we are looking for high school math teachers at schools anywhere in the U.S. who teach a course in "problem solving" using the "Crossing the River with Dogs" book. Alternatively, they could be teachers who use the book in another math course, as part of their curriculum, or even high school math teachers in general who would be willing to work with us and have their kids participate. It is my hope that you might be able to point me to some teachers, given your connection with this book.
The idea we have in mind is to have students work in collaborative groups, discussing and debating different solutions to the challenging problems presented in the problem solving course and textbook. We are aiming to build an Internet-based system to support the process and, eventually, for kids to collaborate at a distance with kids from other schools (but we will start within individual schools).
So, we need forward thinking high school math teachers who either teach the problem solving course or are willing to include some of the content from the book in one of their math courses. Would you be able to help?
Thanks for any help and suggestions you might have.
Dr. Bruce M. McLaren Senior Systems Scientist Carnegie Mellon University
I've got a primo job here for anybody that wants to teach Math or Physics at a really good high school in Taiwan (Yunlin County). The pay is super high. The school is great. The benefits are wonderful. They even pay for you to come over. Let me know if you or anyone you know is interested. [email removed]
I am seeking help from any Texas teachers who had success on the 4th grade math STAAR this past year. My students did not do so well. Looking for any programs or success stories to bring their scores up this year. Thank you for any help.
I teach 5th grade math. This year I will have a mixed ability group...co teaching with the LSTeacher for the inclusion students. Would love ideas/suggestions on how you enhance/enrich the higher level math students. Thanks!
On 8/10/13, Kelly wrote: >...See MoreWe create 3 sections in the lesson/worksheet (with cute names), but essentially Easy, Med, Hard. Many of our students want to get to the Hard, but they don't always have time. All students start at Easy and keep working - during Independent Practice. The higher level students will get to those harder problems.
On 8/10/13, Kelly wrote: > I teach 5th grade math. This year I will have a mixed > ability group...co teaching with the LSTeacher for the > inclusion students. Would love ideas/suggestions on how you > enhance/enrich the higher level math students. Thanks!