Variables in "Bbuilding up Mathematics" textbooks and students' understanding of this concept (At pre-high school levels) (Record no. 20130)

MARC details
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kiwan, Manal
Miscellaneous information Master, تعليم الرياضيات
245 10 - TITLE STATEMENT
Title Variables in "Bbuilding up Mathematics" textbooks and students' understanding of this concept (At pre-high school levels)
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Beirut
Name of publisher, distributor, etc. Université Libanaise - Faculté de Pédagogie - Deanship
Date of publication, distribution, etc. 2015
300 ## - PHYSICAL DESCRIPTION
Extent 108 pages
500 ## - GENERAL NOTE
General note النوع : Mémoire
520 3# - SUMMARY, ETC.
Summary, etc. This study applied content analysis to investigate the way variables are introduced and treated in the “Building up Mathematics” textbook series for grades six, seven, eight and nine. It also investigated the existence of support for teachers regarding the concept of variables in the teachers’ editions of these textbooks. Besides, it documents the curriculum objectives regarding variables in mathematics. In addition, it examined students’ understanding of variables at these grade levels using a diagnostic test designed for this purpose. Findings from content analysis of the textbooks revealed that these textbooks did not provide any historical information or formal definitions of variables yet still, they applied different types of variables in different proportions. The most used types of variable in these textbooks as a whole were abstract symbols and constants whereas the least used types were parameters and generalized numbers. Also, considering the textbooks as a whole, the type of variable encountered most in algebra was the abstract symbol. Constants were dominant over other uses of variables in plane geometry, trigonometry and space whereas varying quantities were most dominant in analytic geometry. In real life situations, labels are encountered more than other types of literal symbols. Besides, the teacher’s editions of the textbooks provided no guidance for them on how to enact variable ideas. A diagnostic test was designed to investigate pre-high school students’ understanding of variables and to specify the common misconceptions they had regarding this concept. Results revealed that students had a hard time dealing with variables. Common wrong answers were documented and analyzed to determine the possible misconceptions resulting in them. Some of these misconceptions were not attaining the ability to determine the role of the variable, assuming that a literal symbol stood for a single value, defining variables nominally not quantitatively, not attaining the meanings of basic expressions, such as 2x and 3x2. In addition, the possible links between the percentage a type of variable was used in the textbooks and students’ understanding of this specific type of variable were studied. The linear correlation between them was studied and the obtained results implied an almost strong positive which means that as the first increased, the second tended strongly to increase; yet further statistical studies need to be done regarding this issue.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Basic Education Math education Textbooks Students Attitudes and Conceptions
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Enseignement de base L’enseignement du Maths
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Livres Scolaires Les Attitudes et conceptions des étudiants
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element التعليم الأساسي تعليم الرياضيات الكتاب المدرسي مواقف الطلبة وتصوراتهم
856 ## - ELECTRONIC LOCATION AND ACCESS
Public note Université Libanaise - Faculté de Pédagogie - Deanship
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type بيانات الهيئة اللبنانية للعلوم التربوية

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