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Need a pentagonal pyramid that's six inches tall? Or a number line that goes from ‑18 to 32 by 5's? Or a set of pattern blocks where all shapes have one-inch sides? You can create all those things and more with the Dynamic Paper tool. Place the images you want, then export it as a PDF activity sheet for your students or as a JPEG image for use in other applications or on the web. Instructions   This applet allows you to create the following: Nets – two-dimensional outlines of three-dimensional shapes, including regular polyhedra, prisms, pyramids, cylinders and cones Graph Paper – coordinate graphs, polar coordinates, logarithmic graph paper Number Lines – including positive and negative coordinates Number Grids – hundreds boards and the like Tessellations – tiling patterns involving triangles, quadrilaterals, and hexagons Shapes – pattern blocks, attribute blocks, and color tiles Spinners – up to 16 sectors, with adjustable sizes

“Now I know some of you have already heard of me, but for the benefit of those who are unfamiliar, let me explain how I teach. Between today until the class right before finals, it is my intention to work into each of my lectures … one lie. Your job, as students, among other things, is to try and catch me in the Lie of the Day.”And thus began our ten-week course.This was an insidiously brilliant technique to focus our attention – by offering an open invitation for students to challenge his statements, he transmitted lessons that lasted far beyond the immediate subject matter and taught us to constantly check new statements and claims with what we already accept as fact."

while it is necessary (and possible) to teach facts to people, it comes with a price. And the price is this: facts learned in this way, and especially by rote, and especially at a younger age, take a direct root into the mind, and bypass a person's critical and reflective capacities, and indeed, become a part of those capacities in the future.When you teach children facts as facts, and when you do it through a process of study and drill, it doesn't occur to children to question whether or not those facts are true, or appropriate, or moral, or legal, or anything else. Rote learning is a short circuit into the brain. It's direct programming. People who study, and learn, that 2+2=4, know that 2+2=4, not because they understand the theory of mathematics, not because they have read Hilbert and understand formalism, or can refute Brouwer and reject intuitionism, but because they know (full stop) 2+2=4.I used the phrase "it's direct programming" deliberately. This is an analogy we can wrap our minds around. We can think of direct instruction as being similar to direct programming. It is, effectively, a mechanism of putting content into a learner's mind as effectively and efficiently as possible, so that when the time comes later (as it will) that the learner needs to use that fact, it is instantly and easily accessible.