Developing the concept of task substitution and transformation by defining own equivalences

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28150%2F23%3A63566358" target="_blank" >RIV/70883521:28150/23:63566358 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s10649-023-10264-7" target="_blank" >https://link.springer.com/article/10.1007/s10649-023-10264-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10649-023-10264-7" target="_blank" >10.1007/s10649-023-10264-7</a>

Result language

angličtina

Original language name

Developing the concept of task substitution and transformation by defining own equivalences

Original language description

The presented article is dedicated to a new way of teaching substitution in algebra. In order to effectively master the subject matter, it is necessary for students to perceive the equal sign equivalently, to learn to manipulate expressions as objects, and to perceive and use transformations based on defining their own equivalences. According to the results of several researches, these changes do not occur automatically, and the neglect of their development leads to students&apos; insufficient adoption of substitution. The submitted contribution presents a new way of teaching substitution, the stages of which support the gradual development of the necessary competences of students, so that substitution becomes part of their computing apparatus. The effectiveness of the mentioned method of teaching substitution was also verified experimentally. By conducting a pedagogical experiment, it was confirmed that the application of the substitution teaching method developed by us led to more frequent use of substitution by students from the experimental group (47 students) compared to students from the control group (82 students) who learned substitution in the usual way. It emerged from the interview with experimental group students that they considered the proposed method suitable and that it encouraged them to learn substitution in depth.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

50301 - Education, general; including training, pedagogy, didactics [and education systems]

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Educational Studies in Mathematics

ISSN

0013-1954

e-ISSN

1573-0816

Volume of the periodical

114

Issue of the periodical within the volume

3

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

20

Pages from-to

483-502

UT code for WoS article

001070569100001

EID of the result in the Scopus database

2-s2.0-85171523980