The role of the number line in additional tasks of elementary students

Postgraduate Thesis uoadl:1319177 212 Read counter

Unit:
Διαπανεπιστημιακό ΠΜΣ Διδακτική και Μεθοδολογία των Μαθηματικών
Library of the School of Science
Deposit date:
2015-03-24
Year:
2015
Author:
Παπανδρέου Βασιλική
Supervisors info:
Αθανάσιος Γαγάτσης Αντιπρύτανης Πανεπιστημίου Κύπρου (Επιβλέπων), Δέσποινα Πόταρη Αναπλ. Καθηγήτρια, Ιλιάδα Ηλία Επίκ. Καθηγήτρια
Original Title:
Ο ρόλος της αριθμογραμμής σε έργα πρόσθεσης μαθητών δημοτικού.
Languages:
Greek
Translated title:
The role of the number line in additional tasks of elementary students
Summary:
The current study deals with the role of model of number line and
representational images in elementary school students‘ additional tasks. The
project is structured in two parts.The first part of the study deals with the
theoretical framework concerning the above concepts. Starting with the
definition of representation and distinguish between internal and external
representations. The distinguish geometrical model and representation and
discloses the number line as a geometrical model. Indicate the types of images
and types of number line and made references to the presence of the number line
in textbooks. The second part of the study concerns to the survey. In this
research studied simultaneously and compared the role of visual representations
along with the model of number line in simple addition tasks just as well as
the position of the unknown into how gender affects the case of the project.
The study included 213 students A and B class grade. An analysis of the results
showed that the position of the unknown in a position of equation (a + b = c)
increases the difficulty of the task. Also the tasks with number line seemed to
help more the students of A class and for students of B class number line
played no essential role in solving the task and the role of images in
additional tasks are not clearly determined. Finally, the tasks related to
overcome the top ten was difficult from the projects included the addition of
two single digit numbers not exceeding ten, while interaction occurred between
the location of the unknown and the magnitude of the numbers in the tasks,
which seem to have affected several the complexity of the projects for
students.
Keywords:
Representations, Number line, Representational images, Geometrical model, Additional tasks
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
117
Number of pages:
134
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