Donate now

Privacy Policy

Protection of privacy is our first concern, and SQE does not sell or trade information provided by its subscribers or supporters. Your information is used to process donations and newsletter subscriptions, and to contact you about upcoming publications and events.

feed iconSubscribe to our Blog

Follow Us
Follow SQESocQualEd
on Twitter

Please note Downloads require you to have the Adobe Reader installed, you can get it here for free Adobe.com

 

 
 
Society for Quality Education

The End of Ignorance

November 25, 2009 by .(JavaScript must be enabled to view this email address) at 05:02 AM

SQE has an extensive collection of education books available for borrowing, one of which is The End of Ignorance: Multiplying our human potential by John Mighton. The author, an award-winning playwright, mathematician and the founder of JUMP Math, diplomatically but convincingly demolishes the myth of ability - the belief that leads educators “to neglect the majority of children by educating them in schools in which only a small minority are expected to naturally love or excel at learning”. Dr. Mighton holds that all children can be good at math - given the proper teaching. The excerpt (pp. 54-55) looks at one of progressive educators’ mistaken assumptions - namely, they forget that there is a “vast difference between the things people do to become experts and the things they do when they are experts”.

“Some educators assume that students who don’t know their times tables or operations can still learn mathematics, as long as they can find the information they need on a calculator or computer. In many schools teachers now spend much more time teaching general concepts and methods for finding mathematical information with calculators and computers than they spend teaching specific facts or procedures. A person who doesn’t know how to locate the notes on an instrument can’t play music, let alone compose symphonies. People rarely make the mistake of thinking that basic knowledge and skills aren’t important in music, probably because the only thing an untrained musician can produce from an instrument is noise. Mathematics, writing and reading, however, are so much part of our daily lives that kids usually pick up some basic skills at home or in public, so they can usually produce something that looks like reading, writing or arithmetic even if they were never taught any basic skills at school. This state of affairs has kept us from seeing the need for rigorous training in these subjects. The basic skills kids happen to pick up outside of school are, unfortunately, not usually sufficient to guarantee success at school.

“It is a serious mistake to think that students who don’t know number facts can get by in mathematics by using a calculator or other aids. students can certainly perform operations and produce numbers on a calculator, but if they don’t have a sense of numbers, they will not be able to tell if their answers are correct, nor can they develop a talent for solving mathematical problems. To solve problems, students must be able to see patterns in numbers and make estimates and predictions about numbers. A calculator cannot provide these abilities. Trying to do mathematics without knowing basic number facts is like trying to play the piano without knowing where the notes are.”

Comments

I heard Mighton speak once, and was impressed with him. He has a n impressive intuitive understanding of learning and motivation.

A lot of the problem we see now is curricular in nature. The new elementary math curriculum does not require students to know the number facts, even addition and subtraction. Students can use calculators on all tests. Teachers cannot spend much instructional time on this “rote” learning even if we agree with the research showing it is essential.  The new math coaches in the schools make sure that teachers do not spend time on such “lover level thinking.”

Don’t know how you can change things. Parents need to teach their kids at home, if they can. Math skills however will be the new gate keeping the less fortunate out of well-paying occupations.

A good software program to teach math facts I have heard of but not tried is Quarter Mile Math. I can’t vouch for it but some parents have told me it is excellent.

Posted by urbanteach on 11/25 at 11:44 AM

I have borrowed the ideas of Mighton, and had them adapted along with other authors ideals in math. My child from the first go, had trouble in basic math. This was made much worse, by how it was instructed, and more so in areas where teachers demanded to follow a set of rules. Counting with your fingers was out, or figuring it out on another sheet, was out too. Today, she has a firm grasp in basic math facts, and automatic recall. When I see her slipping, out comes the work sheets for a week or so, doing simple addition or other simple facts. The funny thing, she can do a complex problem, without a calculator, but give her a problem such as 5 - 1, there is always a pause. The pause has shortened over the years, where we have seen steady progress, where practicing of the facts are still taking place, and hopefully into her adult years, in forms of math games. The irony, the kids who tease her about being really dumb in math, are the same kids who are well below my child’s grades. When my child come home and relates a story or two, where my typical response, would be, “You see, what did I tell you, learning your facts will pay off later on.” My child has an edge now, since the majority of kids in the classroom, do not have a firm foundation in basic math. What they can do well, is to explain how to arrive at an answer 5 different ways, but they cannot tell you the rule/law that governs the concept. Where my child will show you one method, and than the law that applies to it. The child who either got zero or half marks was my child, but since high school she is getting full marks, where the rules/laws of math are important to know, when doing algebra or geometry.

Posted by Nancy on 11/25 at 01:03 PM

There is a huge disconnect between elementary school and high school in the teaching of math. In elementary they are more interested in a written explanation than in an actual mathematical explanation. One question that a local grade 5 class spent a day’s math period on was “What is your favourite number and why?” This will really help with algebra!

Posted by Pat on 12/01 at 02:22 PM

What baffles me is that the teachers see that the methods imposed on them are not working, so why don’t they speak up?  Relatively nothing from them.  What’s going on?

Posted by Bev on 12/02 at 06:26 PM

Teachers for the most part cannot speak up for their students. Between union, school boards and the education ministries, whose agendas often run counter from the teacher in the classroom. In my province, I have seen teachers suspended for talking in public about school issues. As a result, teachers find it easier to follow the mandates of those that are above them, rather than telling them these methods do not work.

Posted by Nancy on 12/02 at 08:36 PM
Page 1 of 1 pages

Leave A Comment

Name:

Email (required but not displayed):

Emotions

Notify me of follow-up comments?

Submit the word you see below: