izpis_h1_title_alt

Učinkovitost treninga reševanja enačb in izvajanje programa Preobrat za učence s primanjkljaji na področju učenja matematike : magistrsko delo
ID Požegar, Vanja (Author), ID Kavkler, Marija (Mentor) More about this mentor... This link opens in a new window

.pdfPDF - Presentation file, Download (4,46 MB)
MD5: 02AFB791429DF06C999DA5788E6ADC8C

Abstract
Z reševanjem enačb se učenci srečajo na začetku drugega vzgojno izobraževalnega obdobja. Naloge z dopolnjevanjem manjkajočega člena, kar je osnova za reševanje enačb v višjih razredih, pa učenci rešujejo že v prvem razredu. V četrtem razredu učenci spoznajo in razumejo pomen oznake X v enačbah v vseh računskih operacijah in jo s premislekom rešijo v množici naravnih števil. Učenec mora razumeti, da sta seštevanje in odštevanje nasprotni, množenje in deljenje pa obratni operaciji. Rezultati preverjanja znanj pri matematiki, kot sta Nacionalno preverjanje znanj - NPZ na državnem nivoju in TIMMS na mednarodnem, kažejo težave učencev na področju algebrskih znanj. Učenci s primanjkljaji na področju učenja matematike (v nadaljevanju UPP MA) imajo zaradi svojih primanjkljajev na tem področju še izrazitejše težave. Pogosto se srečujejo s slabšim delovnim pomnjenjem, kar vpliva na proceduralno in konceptualno znanje in posledično na slabšo učinkovitost reševanja enačb. Različne raziskave kažejo, da lahko kapaciteto delovnega pomnjenja povečamo s treningom po programu Preobrat; s tem pa se lahko izboljšajo dosežki na področju matematike, branja in pisanja. Namen magistrskega dela je bil podrobneje predstaviti obravnavo reševanja enačb v četrtem razredu pri učenkama s PPU MA. Osrednji cilj empirične raziskave je bil, po začetni oceni posebnih potreb učenk na področju reševanja enačb, izvesti in evalvirati trening reševanja enačb dopolnjenega s treningom po programu Preobrat in primerjati dosežke dveh učenk s PPU MA z njunimi vrstniki. Raziskovalni vzorec je vseboval dve učenki s PPU MA, ki sta vključeni v vzgojno- izobraževalni program s prilagojenim izvajanjem in dodatno strokovno pomočjo. Trening je bil sestavljen iz dveh delov. Prvi del treninga je vključeval vidno in slušno pomnjenje po programu Preobrat, v obsegu od 20 do 25 minut. Vseboval je: slušno zapolnitev števil, slušno zapomnitev barv, slušno zapolnitev postavljanja pozicij, vidno zapomnitev barv in vidno zapomnitev likov. Drugi del treninga je bil namenjen treningu reševanja enačb, ki je vseboval razvijanja predznanj, vpeljave neznanega člena X, enačbe seštevanja, enačbe odštevanja, enačbe množenja in enačbe deljenja ter didaktično igro utrjevanja. Učinkovitost treninga smo preverili s primerjavo med začetnim in končnim merjenjem ter merjenjem 3 mesece po zaključku treninga. Preizkus reševanja enačb je pokazal, da sta obe učenki napredovali pri reševanju enačb, učenka A se je vrstnikom približala in jih v nekaterih segmentih celo presegla, učenka B pa se žal v skupnem seštevku vrstnikom ni približala, je pa bila v posameznih segmentih uspešnejša kot pri začetnem merjenju. Učenki sta prav tako napredovali v slušnem in vidnem pomnjenju, katerih učinki so bili vidni tudi 3 mesece po zaključku treninga.

Language:Slovenian
Keywords:primanjkljaji na področju učenja matematike, reševanje enačb, vidno in slušno pomnjenje, trening po programu Preobrat, pristop od konkretnega preko slikovnega do abstraktnega za PPU MA
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:PEF - Faculty of Education
Place of publishing:Ljubljana
Publisher:V. Požegar
Year:2023
Number of pages:138 str.
PID:20.500.12556/RUL-147348 This link opens in a new window
UDC:376(043.2)
COBISS.SI-ID:157435907 This link opens in a new window
Publication date in RUL:02.07.2023
Views:1542
Downloads:128
Metadata:XML DC-XML DC-RDF
:
Copy citation
Share:Bookmark and Share

Secondary language

Language:English
Title:Effectiveness of Equation Solving Training and Implementation of the Reversal Programme for Students with Learning Difficulties in Mathematics
Abstract:
Students encounter with solving equations at the beginning of the second educational period. Tasks with completing the missing term, which is the basis for solving equations in higher grades, are already solved by students in the first grade. In the fourth grade, students get to know and understand the meaning of the X mark in equations in all arithmetic operations and solve it by using the set of natural numbers. A student must understand that addition and subtraction are opposites and multiplication and division are inverse operations. The results of tests of knowledge in mathematics, such as the National test of knowledge - NPZ at the national level and TIMMS at the international level, show that students have problems in the field of algebraic skills. Students with learning deficits in mathematics area (from here UPP MA) have even bigger problems due to their deficits in this area. That kind of students often experience poorer working memory which then affects procedural and conceptual knowledge, resulting in a lower efficiency of solving the equations. Various researches show that the capacity of working memory can be increased by training with the Turnabout program as this kind of training can improve achievements in the field of mathematics, reading and writing. The purpose of my master’s thesis was to present detailed treatment of solving equations in fourth grade with two students with PPU MA. The main goal of my empirical research was: initially to asses special needs of two students in the field of solving equations, implement and evaluate training in solving equations with the help of the Turnabout program and finally to compare achievements of my two students with their peers. The research sample consisted of two students with PPU MA, who are included in the educational program with adapted implementation of subjects and additional professional help. The training consisted of two parts: the first part of the training included visual and auditory memorization according to the Turnabout program, lasting from 20 to 25 minutes and the second part of the training was dedicated to solving equations, which included developing prior knowledge, introducing the unknown article X, addition equations, subtraction equations, multiplication equations and division equations, and a didactic consolidation game. I checked the efficiency of the training by comparing the initial and final measurements and the measurements done three months after the end of the training. The test for solving equations showed that both students made progress in solving equations. Student A came close to her peers and even surpassed them in some segments, while student B unfortunately did not come close to her peers in the overall total, but she was more successful in individual segments. Both students also improved their auditory and visual memory, the effects of which were visible in 3 months after the end of the training.

Keywords:learning deficits in mathematics area, solving equations, visual and auditory memorization, The Turnabout program, approaching from the concrete through the pictorial to the abstract for PPU MA

Similar documents

Similar works from RUL:
Similar works from other Slovenian collections:

Back