"Algebra, as designed by McGraw-Hill for iBooks 2, is lighter by pounds. It's indexed for search. It's quick. You can highlight the text and insert notes. It removes one layer of abstraction between students and tools that already existed. Rather than accessing quizzes, tutorials, and enrichment videos by loading a CD-ROM into a computer or entering a password into a website, they're a tap away.

That's where the differences end. Students still interact with mathematics as they always have…

What I'm saying, basically, is that I'd have to modify, adapt, and extend the McGraw-Hill iBook in all the same ways that I modified, adapted, and extended the McGraw-Hill print textbook. We'd pull out the iBook just as infrequently as its printed sibling."

"there's a reason elementary schools are teaching arithmetic in a new way.<br />
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"…largely to reflect the different needs of society. No one ever in their real life anymore needs to — & in most cases never does — do the calculations themselves."<br />
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Computers do arithmetic for us…but making computers do the things we want them to do requires algebraic thinking. For instance, take a computer spreadsheet. The computer does all the calculations for you automatically. But you have to write the macros that tell it what calculations to do —& that is algebraic thinking.<br />
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"You cannot become good at algebra w/out a mastery of arithmetic, but arithmetic itself is no longer the ultimate goal." Thus the emphasis in teaching mathematics today is on getting people to be sophisticated, algebraic thinkers.<br />
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That doesn't mean that kids can skip learning their multiplications tables. "But the way it's taught now is you get to multiplication tables by understanding number system & what numbers mean"

"Solving Einstein's Algebra Problem [Einstein Academy], Letting the Kids Make the Rules [Innovations Academy], English Learners Who Seem to Know English [Pacific Beach Middle School], Small (Change) Is Beautiful [Euclid Elementary], The Data War [SDUSD in opposition to RttT], Wording Up Without the Dictionary [Grant Barrett, SDUSD], One Class Fits All [Correia Middle School in Point Loma drops tracking]"

"No doubt, algebra is a steppingstone to higher mathematics and quite necessary in professions that require extensive knowledge of math. Too, it offers insights not only into numbers, but also into general problem-solving separately. It is also reasonable for most students to have some experience with it before they leave school.<br />
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The difficulty, however, is assuming that algebra, in itself, will greatly increase everyone's ability to do the kind of mathematics that most people do in ordinary life."

"Easily incorporate computational thinking into your curriculum with these classroom-ready lessons, examples, and programs. For more resources, including discussion forums and news, visit our ECT Discussion Forums."

"But it still begs the question of whether all students need these 118 standards. For example, do you believe that all students (scratch, that, all people) need to know that "there is a complex number i such that i2 = -1, and every complex number has the form a + bi with a and b real?" (CCSS, N-CN 1). Or how about "prove the Pythagorean identity sin2(x) + cos2(x) = 1 and use it to find sin(x), cos (x), or tan(x) and the quadrant of the angle?" (CCSS, F-TF 8).<br />
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(My not-so-modest proposal is that no state legislature is allowed to require standards that they couldn't demonstrate proficiency on themselves. Since they are clearly successful adults and they are saying that these standards are necessary for all students to be successful, surely they'd be able to demonstrate proficiency by taking the same tests our students do. But I digress.)"

"These are the skills that are important enough to assess individually. Some skills will include sub-skills that aren’t assessed individually. This is not necessarily the order the skills will be assessed in." [More at: http://fischalgebra1011.blogspot.com/p/course-expectations.html]

"Would a real person need to solve this problem?...the solution realistic?...using a system of 2 equations?...in what ways does this problem help our students become better problem solvers?"...problem you will only find in a textbook...bizarre...how many different ways just 50 words can fail to square with reality. Why does each chaperone have to drive? Why can't we take 5 vans? Why do our vehicles have to seat the exact number of people in our group & no more?...Algebra teachers sell students a cheap distortion of the real world while insisting at the same time that it really is the real world. The cognitive dissonance is obvious & terrible. Students know the difference. It cheapens my relationship to them & their relationship to mathematics when you ask me to lie to them...Not only are the short-term consequences devastating but it makes that person distrustful or wary of the real thing. Make no mistake. We are making an alien of algebra. We are doing real damage here."

"Leinwand opened his talk: "The great divider of our time is the Algebra II final exam. Algebra II squeezes off options for so many kids. Algebra II is anathema to all but the top 20% of the population. My premise: as currently implemented, high school algebra I and II are not working and not meeting either societal or student needs."

"The Khan Academy is a not-for-profit organization with the mission of providing a high quality education to anyone, anywhere.

"Moses spent the next five years developing a completely new curriculum. He called it the Algebra Project. Instead of confronting students with abstract equations, Moses took them out into the real world, traveling around Boston in search of experiences that could demonstrate the practical uses of math. A ride on the T became a lesson in coordinate graphing and negative numbers. Neighborhood landmarks stood in for integers. When Moses taught students about displacement, he had them measure the dimensions of their own bodies. The first rule of Moses’ math class was that students always had to “participate in a physical event.”

"Math students in high-performing school district used to rush through their Algebra I textbooks only to spend the first few months of Algebra II relearning everything they forgot or failed to grasp the 1st time...district’s frustrated math teachers decided to rewrite algebra curriculum, limiting it to about 1/2 of the 90 concepts typically covered in a high school course in hopes of developing a deeper understanding of key topics...replacing 1,000+ page math textbooks with their own custom-designed online curriculum...“In America, we run through chapters like a speeding train. Schools in Singapore & India spend more time on each topic & their kids do better. We’re boiling down math to the essentials.”...students focus only on linear functions in Algebra I, taught in 7th, 8th or 9th grade depending on student ability & leave quadratics & exponents to Algebra II, eliminating overlap & repetition typical of most textbooks & curriculum guidelines...result=less review+higher test scores"

"Our directory of Free Algebra Math Games available on the Internet - games that teach, build or strengthen your algebra math skills and concepts while having fun. We categorise and review the games listed here to help you find the math games you are looking for."

"This curriculum emphasizes a multi-representational approach to algebra, with concepts, results, and problems being expressed graphically, analytically, and verbally. It develops algebraic fluency by providing students with the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. In addition, the course develops proficiency with operations involving monomial and polynomial expressions. The main unifying themes of the course include understanding, writing, solving, and graphing linear equations, systems of linear equations and inequalities, quadratic equations, and rational equations."

"Algebrahelp.com is a collection of lessons, calculators, and worksheets created to assist students and teachers of algebra. "

"The complete contents of this algebra textbook are available here online. This text is suitable for high-school Algebra I, preparing for the GED, a refresher for college students who need help preparing for college-level mathematics, or for anyone who wants to learn introductory algebra. I am especially pleased to help homeschoolers."

"GeoGebra is a free and multi-platform dynamic mathematics software for schools that joins geometry, algebra and calculus. It received several international awards including the European and German educational software awards."

"DimensionM™is an immersive video game world that engages students in the instruction and learning of mathematics. Pre-algebra and algebra objectives are covered through a series of missions that bring math into a world that today's students understand. Students become so captivated in solving problems that they forget they're learning but they don't forget what they've learned."

"We are dedicated to bringing you great multimedia and course materials that can help you with your homework and studies."