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Title:
Enačbe in neenačbe v 5. razredu osnovne šole
Authors:
ID
Letojne, Matej
(Author)
ID
Antolin Drešar, Darja
(Mentor)
More about this mentor...
ID
Lipovec, Alenka
(Comentor)
Files:
MAG_Letojne_Matej_2017.pdf
(1,86 MB)
MD5: 5C5D592A321D02305544AF4BD6C38433
Language:
Slovenian
Work type:
Master's thesis/paper
Typology:
2.09 - Master's Thesis
Organization:
PEF - Faculty of Education
Abstract:
Enačbe in neenačbe so kot učna snov nekaj posebnega, drugačnega. Dosedanje računanje z znanimi členi in s preprostimi računskimi operacijami v množici naravnih števil zamenjajo neznani členi. Učenci se sicer na malce drugačen način srečujejo z enačbami in tudi z neenačbami že od prvega razreda naprej.Preskok pa se zgodi ravno v 4., še bolj pa v 5. razredu, ko v računih enačb dotlej t. i. »manjkajoči člen« (☐) zamenja neznanka (x). Spoznali smo, da matematika ni le računanje na pamet in da se z napredovanjem v višje razrede osnovne šole tudi matematične naloge – njihova zahtevnost in pristop do reševanja teh nalog, spreminjajo in stopnjujejo.
Keywords:
Enačba je matematični zapis
,
kjer sta izenačena dva izraza. Izraza med seboj ločuje enačaj. Izrazu levo od enačaja pravimo leva stran enačbe
,
izrazu desno od enačaja pa desna stran enačbe. Neenačba je matematični zapis
,
pri katerem ugotavljamo velikostni odnos med dvema izrazoma
,
ki ju ločuje neenačaj. Rešitve neenačbe so vsa števila
,
ki jih lahko izberemo za neznanko in se neenakost leve in desne strani neenačbe ohrani. V empiričnem delu je predstavljena raziskava
,
ki je potekala kot pedagoški eksperiment. . Raziskava je vključevala eksperimentalno skupino in kontrolno skupino
,
pri čemer je v eksperimentalni skupini poučevanje matematike potekalo preko uporabe i-učbenika Enačbe in neenačbe
,
pedagoški eksperiment
,
i-učbenik.
Place of publishing:
Maribor
Publisher:
[M. Letojne]
Year of publishing:
2017
PID:
20.500.12556/DKUM-65132
UDC:
37.091.3:51(043.2)
COBISS.SI-ID:
23026440
NUK URN:
URN:SI:UM:DK:TKOTRF8K
Publication date in DKUM:
03.04.2017
Views:
8141
Downloads:
721
Metadata:
Categories:
PEF
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:
LETOJNE, Matej, 2017,
Enačbe in neenačbe v 5. razredu osnovne šole
[online]. Master’s thesis. Maribor : M. Letojne. [Accessed 18 March 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=65132
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Secondary language
Language:
English
Title:
Equations and inequalities in the 5th grade of primary school
Abstract:
Equations and inequalities are as educational material for something unique. The previous calculation with known links and simple arithmetic operations in the set of natural numbers replace the unknown articles. Students on the slightly different way of experiencing equations and inequalities with since the first grade naprej.Preskok happens just 4, and even more so in the 5th grade, when accounts equations t previously. i. "Missing link" (☐) replace the unknown (x). We have learned that mathematics is not just a calculating heart and that promotion to higher grades of elementary school math tasks - their complexity and approach to solving these tasks, change and escalate.
Keywords:
The equation is a mathematical notation
,
where they tied two terms. The terms are separated equal sign. Expression to the left of the equal sign is called the left side of the equation
,
expression of the right of the equal sign but the right side of the equation. Inequality is a mathematical notation
,
in which we find the size relationship between the two terms
,
which are separated by inequality sign. Solutions inequality are all numbers that can be selected for the stranger and the inequality of the left and right side of the inequality is maintained. In the empirical part presents the survey
,
which was held as a pedagogical experiment. . The study included an experimental group and a control group
,
while in the experimental group
,
the teaching of mathematics take place through the use of i-textbook Equations and inequalities
,
educational experiment
,
the i-textbook.
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