Math Answers To All Problems

JENKINS: K-12 education: Right crime, wrong culprits

Of course, part of that is simply the news media’s penchant for reporting the negative. Still, the overall picture appears far from rosy, and public scandals like the one in the Atlanta Public Schools haven’t helped.

Unfortunately, when things go bad in the schools, we naturally want to blame the teachers first. If our kids aren’t learning, it must be their fault, right?

Wrong. I can think of a lot of people who are far more to blame for our kids’ poor academic performance than teachers, starting with ...

• Parents. Studies show that children who have relatively stable homes with parents who emphasize education tend to do better in school.

Well, duh.

Even kids from economically depressed areas who end up succeeding will tell you it was because of a parent who pushed them. Want your kids to do well? Start by examining your own actions and attitudes.

• The national education establishment. Some seem to think that No Child Left Behind, with its emphasis on high-stakes testing, is responsible for many of the problems in our schools. I don’t necessarily disagree.

Just remember that NCLB is a federal mandate. Our local teachers have nothing to do with it, beyond frantically trying to make sure their students do well enough on the standardized tests to keep their schools from being penalized — or themselves from being fired.

• Local school boards. One thing we’ve learned from the APS fiasco is that schools don’t function well when the board is dysfunctional.

True, it wasn’t members of the board who changed answers on tests — as far as we know. But apparently they were more concerned with something that wasn’t their job — interfering with day-to-day operations — than with their actual job of oversight.

• Administrators. Another lesson from APS is that administrators, not teachers, were primarily behind the cheating. Those individual teachers who were implicated cited a “culture of fear” — fear that they might lose their jobs if they didn’t go along.

Those of us who live in affluent suburbs with above-average schools might think that sort of thing can’t happen in our communities. But try asking the teachers you know if they live in fear of heavy-handed administrators, determined to achieve the required test scores at all costs. Their honest answers might surprise you.

In my experience, most teachers do a good job when given adequate support and the freedom to do their jobs. Let’s stop pointing the finger at them for all of education’s woes and start placing the blame where it belongs.

Math Answers To All Problems - News


A Gentle Introduction to OpenCL

For most math problems, each student will go to the central blackboard only twice — once to read the values for their problem, and once to write down their final answer. Because the central blackboard is so far away, students do their actual solving



Clear goal: Improve performance and graduation rate

School Committee member Larry Finnerty also spoke of the importance of getting all stakeholders on the same page both about the issues the school system needs to address and how to address those problems. "We need to all know the same language that



JENKINS: K-12 education: Right crime, wrong culprits

But try asking the teachers you know if they live in fear of heavy-handed administrators, determined to achieve the required test scores at all costs. Their honest answers might surprise you. In my experience, most teachers do a good job when given



MIKE MOONEYHAM: Rowdy Roddy Piper: From Pit to Pinnacle

The fact that Piper wore a kilt and played bagpipes as part of his ring act made it all the worse. Roddy Piper: "Just when they think they got the answers, I change the questions." “Bagpipes is a woodwind instrument, so you have to warm it up.



Wakeup Call For The Gates Foundation: Think Bigger!

It's all about collaborative learning, where the teacher is less of a “sage on a stage” who knows all the answers, and more of a “guide on the side”, who encourages the students themselves to ask questions and find the answers from the incredible




Math begins with an answer « Digital Substitute

; In fact, it does not exist until a question is asked. All the demonstrating and lecturing about math in the world does not involve math until a mathematical question is asked.

This discrepancy is very revealing. It tells us what math is and what math education is. Most students learn to expect math questions and problems to be short, quick, to the point, solvable and structured around “clean” answers (often related in some way to integer components). They anticipate the answers before they anticipate the questions. I am not sure if they even consider the math, and if they consider the questions mathematical, or mathematically.

I wonder what they are really learning? Is it math? What to them is math? Is this why so many students are so disconnected with math and why they are proud to have failed it and ashamed to have aced it? After all, from their perspective, if answers they anticipate before math, what have they aced?

I think we have done students a great disservice if they ace math in elementary, secondary and even tertiary school without ever actually learning that math is all about the question, the quest and struggle to tackle it and the discovery of pattern that possibly limits to (an) answer(s). They completely miss the point and the empowering strength of math process and pattern. And in the end they really have nothing to use in their lives beyond the “math” lesson.

So, why do they need to learn this? That question makes so much sense now.

I shall now return to your post.

Further Reflection

It is easy to lose sight of our students’ understanding of what we teach. Sure, we anticipate their individual problems and our scaffolding of these problems. We tailor our lessons to help each student. We ask leading questions or offer leading hints to open the door for them to learn. But then we learn that they have a completely different fundamental take on what we are teaching (and how) and what they are learning (and how). Sometimes these takes are so fundamental in fact that we can not even conceive them, never mind address them.

And this is where professionally developing with our PLNs really helps us to grow, to learn, to better ourselves.

Sometimes what we think makes sense only makes sense because we think about it within a certain frame and from a certain premise. David Hewitt would consider this generated, rather than necessary, knowledge. Until the moment I read Nat’s statement, I thought that students shared the same fundamental sense I did; that is, I thought this sense was necessary and common. They might want the answer and to skip the learning, but they start learning when a question is considered and asked, regardless of who asks it and whether it is internal or external. Thinking, in short, starts with a question.


Math Answers To All Problems - Bookshelf

100 Top Picks for Homeschool Curriculum, Choosing the Right Educational Philosophy for Your Child's Learning Style

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At levels 54 and above, Saxon Math has a "rules" orientation in its ... Answer keys have answers to all problems in each textbook plus tests and test answer ...

Barron's SAT I, How to Prepare for the SAT I

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Our advice was to spend all 30 minutes on the first 16 questions. We gave him similar guidelines for each section of the test — math and verbal. ...

Math, 70 Must-Know Word Problems

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Math word problems that involve the use of this strategy usually have repeated numbers or patterns. Example: Find the sum of all the numbers from ...

Test taking strategies and study skills for the utterly confused

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Try to predict the answer. As you solve the problem, try to predict the answer. ... for math problems that involve shapes, lengths, distances, and sizes. 3. ...

Basic College Mathematics, An Applied Approach, Student Support Edition

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