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25 years of teaching least squares adjustment by Ulla KALLIO, FGI, Finland

25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

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Page 1: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

25 years of teaching

least squares

adjustment

by

Ulla KALLIO, FGI, Finland

Presented at th

e FIG W

orking Week 2017,

May 29 - June 2, 2

017 in Helsinki, F

inland

Page 2: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

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Anybody still

need it?

Least squares

method since 1804

or 1794

Page 3: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

The adjustment calculus is one of the corner stones of

the professional knowledge of geodetic surveyors.

Page 4: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

Timeline of developments in

the teaching of least squares

adjustment (personal view)

Page 5: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

Registration in bulletin

board 1990 and 1992

Page 6: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

1 page from 15 pages

adjustment report of

the student exercise in

1991

An example of the student work:

”fitting the sphere” programmed

with MATLAB in 2014

The first micro computer class room

in the department of geodesy and

cartography in 1986 with floppy disk

operating systemPCs

Page 7: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

Benjamin Bloom, Max Englehart, Edward Furst, Walter

Hill, and David Krathwohl published the Taxonomy of

Educational Objectives in 1956. They categorize the

cognitive levels or goals of learning. The six original

categories are:

• I Knowledge,

• II Comprehension,

• III Application,

• IV Analysis,

• V Synthesis, and

• VI Evaluation.

Page 8: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

Bloom’s taxonomy

wheel in the

learning

of least squares

adjustment

Page 9: 25 Years of Teaching Least Squares Adjustment - FIG · 25 years of teaching least squares adjustment by Ulla KALLIO, ... the professional knowledge of geodetic surveyors. ... adjustment

Conclutions

• Learning is very much personal process, I believe learning by

doing

• There is no guarantee that learning process of human being

follows the Bloom’s taxonomy steps

• Bloom’s taxonomy is still a good tool for planning the teaching

• Teaching the least squares method is still important