Proceedings of the 33rd Conference of the International by Marianna Tzekaki, Maria Kaldrimidou, Haralambos Sakonidis PDF

Read Online or Download Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education:In Search for Theories in Mathematics Education Volume 5 PDF

Best education books

• Molotov: A Biography (Centre for Russian and East European Studies)
• State Support Of Religious Education: Canada Versus the United Nations (Studies in Religion, Secular Beliefs and Human Rights)
• John Huston’s Filmmaking
• Procedural Autonomy of EU Member States: Paradise Lost?: A Study on the “Functionalized Procedural Competence” of EU Member States
• Elektrische Energieversorgung - Erzeugung, Ubertragung und Verteilung elektrischer Energie fur Studium und Praxis 7.Auflage

Extra info for Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education:In Search for Theories in Mathematics Education Volume 5

Sample text

Indb 27 13 5 - 27 6/4/09 2:30:16 PM Runesson However, in lesson 2 something un-planned happened; the students introduced letters other than the initials for the variable, for instance “X’ and Y" “A, B and C" or "square and circle". Although the teacher did not disapprove of this, he gave prominence to the ‘initial letter’ and pointed out that for instance, H and J (comparing Henry’s and John’s age) were the symbols he wanted them to use. In my interpretation this could be traced to the early planning sessions in the learning study; to facilitate learning and not confuse the students with ‘X’ and ‘Y’ which they assumed would be "frightening and strange” to the students.

The results on addition tasks with negative numbers are also showing a similar increase. Our conclusion is that there were better possibilities to experience aspects critical for learning provided in this lesson compared to the previous ones. MAKING LEARNING POSSIBLE BY REDUCTION OF COMPLEXITY? To summarize, the teachers had an ambition not to make the mathematics too complicated but yet understandable. It is easy to be wise afterwards and classify the first lessons in the cycle as being poor, and since they were not so successful, considering the teachers as unskilled.

THE SUCCESSIVELY GROWING INSIGHTS INTO NECESSARY CONDITIONS FOR LEARNING In the following the two Learning studies will be described in detail. It is reported how the teachers through the Learning study cycles developed their understanding, not just into the student learning difficulties, but into how their ways of handling the topic taught promoted learning. indb 26 PME 3333- 2009 PME - 2009 6/4/09 2:30:16 PM Runesson Learning study 1: Learning to convert sentences into algebraic expressions The object of learning that is, the capability the teachers wanted the students to develop was to ‘converting sentences into algebraic expressions’ and vice versa.

Download PDF sample