Annual – 1966 – NCTM Calgary Summer Meeting
Publication of the Mathematics Council of The Alberta Teachers’ Association
PREFACE
The purpose of this Annual is to bring into focus the highlight of the year in mathematics education in Western Canada – the regional conference of the National Council of Teachers of Mathematics held at Calgary in August, 1966. Everyone interested in mathematics education in Western Canada is indebted to the Mathematics Council of The Alberta Teachers’ Association for organizing the conference.
The editors of the MCATA Annual saw fit to gather papers presented at the conference as they were available and appropriate for publication. The following pages are, then, merely a sample of the many excellent presentations given in Calgary.
The papers represent a range of opinion and content. Adrien Hess has
mixed feelings about the “Revolution in Mathematics”, while William Steeves shows concern over the recent developments including “discovery teaching”. Agnes Rickey outlines a program developed in Florida for slow learners in Grade VII. Irvin Brune takes a hard look at geometry as it should be taught in the elementary school – from “op art” to proof. Murray McPherson indicates how one Canadian province met the challenge of teacher education for the new mathematics programs. Tom Atkinson has some mathematical ideas for the teaching of problem-solving.
Algorithms and computers can be taught as a course in high school, and David Alexander has done just this in Toronto. Arnold Harris suggests transformation geometry for secondary school as he has taught it in Ontario and observed it in Great Britain and Denmark. Allan Gibb presents possible uses of TV in teacher education, while Douglas Crawford, another university professor, discusses teaching and learning mathematics from a theoretical psychological point of view. An actual discovery lesson is described by Solberg Sigurdson; and Father Egsgard concludes the publication with important reminders that we are, in spite of the new mathematics, still teaching individual human beings.
A spectrum of important topics is presented by people who spend a great deal of time thinking about teaching and learning mathematics. If their thoughts make your classroom activities more meaningful, then the Annual has served its purpose.
T. P. Atkinson or S. E. Sigurdson
1 – 2
3
T. P. Atkinson or S. E. Sigurdson
4 – 12
Adrien L. Hess
13 – 20
MODERN MATHEMATICS IN ELEMENTARY SCHOOL – A CRITICAL VIEW
William A. Steeves
21 – 23
EXPERIENCING MATHEMATICS – A PROGRAM FOR SLOW-LEARNING SEVENTH GRADERS
Agnes Y. Rickey
24 – 31
SOME K-6 GEOMETRY MODERN MATHEMATICS
Irvin H. Brune
32 – 36
THE TRAINING OF TEACHERS IN NEW MATHEMATICS – TV AND REGIONAL SEMINARS
A. M. McPherson
37 – 41
THE SITUATION PROCESS IN PROBLEM-SOLVING: HELP OR HINDRANCE?
T. P. Atkinson
42 – 47
David W, deM Alexander
48 – 64
TRANSFORMATION GEOMETRY IN GRADES IX AND X
Arnold W. Harris
65 – 67
SOME USES OF TV ENRICHMENT TEACHING
Allan Gibb
68 – 76
LEARNING AND TEACHING MATHEMATICS
Douglas H. Crawford
77 – 83
Solberg E. Sigurdson
84 – 93
THE TEACHER OF MATHEMATICS – FRIEND OR FOE?
John C. Egsgard, CBS