
06419906
a
2015c.00969
da Ponte, Jo\~ao Pedro
Problem solving, exercises, and explorations in mathematics textbooks: a historical perspective.
Silver, Edward (ed.) et al., Pursuing excellence in mathematics education. Essays in honor of Jeremy Kilpatrick. Cham: Springer (ISBN 9783319119519/hbk; 9783319119526/ebook). Mathematics Education Library, 7184 (2015).
2015
Cham: Springer
EN
U20
D50
A30
H30
tasks
problem solving
explorations
algebra
textbooks
doi:10.1007/9783319119526_5
Summary: This paper analyzes the tasks proposed in several Portuguese mathematics textbooks from the nineteenth to the twentyfirst century. A look at the nature and intended purpose of these tasks raises interesting issues about school mathematics teaching and learning. Has the meaning of terms such as ``problem" and ``exercise" been always the same? What other terms have been used in textbooks to designate mathematics tasks? What were the reasons for the changes? The analysis of the evolution that occurred in the terminology as well as in the nature of the tasks proposed to the students provides elements to reflect about what are the changes that have occurred in mathematics teaching and learning and how some changes are more apparent than real.