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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Teaching algebraic expressions using algebra tiles
 Kuchaříková, Gabriela ; Vondrová, Naďa (advisor) ; Novotná, Jarmila (referee)
The primary goal of this thesis is to prepare and carry out an education programme on algebraic expressions with variables for eight grade primary school students. This is so they can understand the basic principles of operations with simple algebraic expressions. The secondary goal was to determine whether this education method can also be applied in an online environment, which became a necessity during the Covid-19 pandemic. The theoretical chapter of the thesis covers the introduction of the symbolic language of algebra and the ways of understanding a letter (variable). It contains the definition of basic algebraic terminology in a primary school environment as well as an analysis of select textbooks. Additionally, student work levels with algebraic expressions and a categorization of students' mistakes in operations are used as supplementary grounds for the experimental chapter of the thesis. Finally, the two types of algebra tiles are presented. The experimental chapter of the thesis is aimed at the propaedeutics of algebra tiles via operations with integers, at teaching variable expressions using algebra tiles and at expanding the method of teaching expressions in primary school (Vieta's formulas, completing the square). This chapter's sections cover the respective expression operations and...
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Expressions with variables with the help of agebraic tiles
 Konrádová, Lenka ; Vondrová, Naďa (advisor) ; Novotná, Jarmila (referee)
The diploma with the help of algebraic tiles thesis focuses on teaching expressions with variables in the eighth grade in middle school. It is divided into theoretical and experimental parts. A particular chapter is devoted to an analysis of selected textbooks. First of all, the aim of this thesis was to analyse mathematics textbooks from the perspective the algebraic expressions. Some knowledge acquired thanks to the textbook analysis was used for my own educational experiment, whose preparation, realisation and assessment were the second objective of this thesis. The theoretical part provides a look at expressions with variables in curricular documents. Thereafter the pillars of teaching algebraic expressions are presented. This part is completed by the classification of errors made by students in relation to the topic. An analysis of selected textbooks follows the theoretical part. The core of this thesis is the experimental part, where teaching is based on constructivist principles. The preparation of the course explains the manipulation of the algebra tiles used during the lessons. After the teaching experiments, we may conclude that the application of algebra tiles helps students get into the environment of algebraic expressions, improves the understanding of the rules of manipulations with...
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