Abstract
One of the ways to analyse textbook is to trace back how
such a mathematical content was explicated in a current and historical
textbooks. The purpose of this study is to compare the explanation
of proportion in three different textbooks from two different
periods. By using praxeology, I analyse a current open online US
textbook and two historical US textbooks. I describe how proportion
is explained and appeared in examples and in exercises. The
results show that each textbook has its own typical type of task
and technique. I also observe that the way proportion is explained
in current textbooks draws on what we could call ‘daily life situations’
while the historical textbooks use a more formal definition.
Furthermore, I find that the historical textbooks provide more
algebraic approaches to discuss property of proportion while the
current textbook gives advantage for students to have more than
one techinques. The results of these analyses might be of interest
in order to analyse future potential textbooks
such a mathematical content was explicated in a current and historical
textbooks. The purpose of this study is to compare the explanation
of proportion in three different textbooks from two different
periods. By using praxeology, I analyse a current open online US
textbook and two historical US textbooks. I describe how proportion
is explained and appeared in examples and in exercises. The
results show that each textbook has its own typical type of task
and technique. I also observe that the way proportion is explained
in current textbooks draws on what we could call ‘daily life situations’
while the historical textbooks use a more formal definition.
Furthermore, I find that the historical textbooks provide more
algebraic approaches to discuss property of proportion while the
current textbook gives advantage for students to have more than
one techinques. The results of these analyses might be of interest
in order to analyse future potential textbooks
| Original language | English |
|---|---|
| Title of host publication | Mathematics and Science: and education : The relationships and disconnections between research |
| Editors | Marianne Achiam, Carl Winsløw |
| Number of pages | 10 |
| Publisher | Institut for Naturfagenes Didaktik, Københavns Universitet |
| Publication date | 2 Sept 2015 |
| Pages | 131-140 |
| Chapter | 12 |
| Publication status | Published - 2 Sept 2015 |
| Series | IND's Skriftserie |
|---|---|
| Number | 39 |
| ISSN | 1602-2149 |