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Math is usually taught in such a way that it actually discourages kids from liking it, feeling competent in it or wanting to pursue it.
While the primamry focus of the book is Math, its principles apply to all branches of education and learning. Learn that there are pitfalls to standardized testing and minimal competency standards.
The book includes practical advice for parents on how to encourage their children to hone their math skills and encourage their analytical skills since their teachers may not be equipped to meet children at their level in order to fully communicate and cover a subject in depth.
Seems that many teachers are not prepared to teach math in successful ways. We must put the focus and resources into preparing teachers in order to acheive the kind of results we want from their students.
Just the other day I clipped a short piece that described a scientific study demonstrating that this "math anxiety" itself gets in the way of doing the math. The chicken that comes before this egg is not low ability but high anxiety. Finding ways to lessen that math anxiety can improve math achievement.
As a parent and as a math teacher this is important news. Many parents have worried about how they could help their children with math that is often very different from when they were kids. These studies tell us that we'd do better to try to find ways to turn a math "phobic" home into a "Math Power" place. Patricia Kenschaft's book is a wonderful blueprint for such a home 'remodeling' project.
The significant subtitle of this book is:
"How to Help Your Child Love Math, Even If You Don't."
There, as Shakespeare said, lies the rub. After all, most parents bring those same childhood math anxieties right up into their adult lives, right to the dinner (or homework) table. What Kenschaft does is to show you a wide variety of ways, starting even in pre-school, that you and your child can explore math in wholly new forms. You don't have to memorize the rules for fraction division all over again; you just need to find new ways of looking at math.
This book does the best job I have seen of describing the failings of the "old school" approach to math. It has an entire section entitled "Why so many children are damaged" including chapters entitled "How drill and kill cripples U.S. Math education" and "What every parent should know about testing and grading." (My only critique of the book is that this section is placed near the end of the book - you might read it first if you think that going back to the good ole days is the sort of change we need).
The book emphasizes the math of children up to about age 10 or 11, wrapping up with a chapter called "The Fifth Grade Crisis." I had never seen this term used before. But as a 6th grade teacher I believe she has captured an important soft spot in our math education system. Although the ups and downs of kids' math in school all sum up over many years, some important cognitive shifts take place as they open the door into adolescence. Fifth and sixth grades are often the place where they "decide" they are "no good" at math... decide they "can't do it". Kenschaft shows how much of that decision is just a reaction to some truly damaging practices in schools.
Kenschaft also encourages you to take a new view of your role in the school - beyond bakesales! She provides practical advice for you to become a school-math activist without being antagonistic. A chapter entitled "Getting along with your child's teachers" is full of good, practical advice. She concludes with a whole section about change entitled "Tweaking the Machine". Finally there are useful appendices and a great bibliography.
This book is especially powerful because it weaves the very personal with the broadly 'political'. Its combination of practical advice with broad policy discussions is unique. If you are a parent wondering how to approach the troubling questions surrounding your child's school math program, at both levels, this book will give you lots to think about.
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Its filled with information I never knew before, very very informative, and very much worth the money. I'm glad that I bought this book.
#1: short book, (you know how intimidating those tomes can be)
#2: lots of diagrams
#3: end-of-chapter questions (with answers & explanations)
If you want to understand the Kidney, no matter where you are in your studies or practice, I wholeheartedly recommend this text.
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This valley is, or at least was, one of the most beautiful in beautiful western Montana. As presented by the above writers as well as Bernard DeVoto it didn't, however, appear that way to the Corps of Discovery.
Of credit due The Discovery Writers the most must be for their intensive and extensive efforts in bringing together the works of so many different sources of information regarding the expeditions travel through the Bitterroot.
Of additional interest is the differences of opinion as to what was said when, where and by whom. The above from The Discovery Writers work, and a quick perusal of Devoto's Down the Lolo Trail in The Journals Of Lewis and Clark
The Editor's note regarding the viewpoint of, and the information taken from, the native people was well taken. GOOD FOR THEM.
The detail work as shown in Chapter Three - Members Of The Expedition - shows their dedication to detail GOOD FOR THEM.
The time taken from their busy lives and the effort needed to complete this work to me appears mind-boggling GOOD FOR THEM
All told a good piece of work.
Why do so many popular nursery rhymes involve counting? Kenschaft points out that favourites like "one-two, buckle my shoe" and "1-2-3-4-5, I caught a fish alive" teach kids to count to ten. I never met a kid who didn't like nursery rhymes; Kenschaft offers reams of useful advice on how to kindle that spark and keep it alive.
As an aside, a really good companion volume to this one would be Sarah Flannery's "In Code - a (young woman's) mathematical journey".