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Napredne statistične metode in Jamovi
Daniel Doz, Tina Štemberger, 2025, znanstvena monografija

Opis: Monografija Napredne statistične metode in Jamovi predstavlja nadaljevanje monografije Osnovne statistične metode in Jamovi. Namen pričujoče monografije je natančen, jasen in ustrezno znanstveno utemeljen pregled naprednejših statističnih metod ter prikaz njihove uporabe v odprtokodnem programu za obdelavo podatkov Jamovi. Pomemben element monografije so tudi pripravljene možne razlage/interpretacija dobljenih rezultatov ter sistematičen in pregleden proces obravnave od zastavitve hipotez do diskusije o možnostih njihove potrditve.
Ključne besede: statistična obdelava, grafični uporabniški vmesniki, računalniški programi
Objavljeno v RUP: 25.03.2026; Ogledov: 263; Prenosov: 12
.pdf Celotno besedilo (3,51 MB)
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5.
Factors affecting students’ performance on national assessments of mathematics in Italy : a random forest approach
Daniel Doz, Bor Bregant, 2024, izvirni znanstveni članek

Opis: This paper investigates the impact of teacher-assigned grades in Mathematics and Italian, students’ gender, and geographical macroregion on students’ performance in the Italian INVALSI mathematics assessment, using Random Forest analysis across grades 2, 5, 8, 10, and 13. Findings revealed that the two most influential factors are mathematics and Italian teacher-assigned grades, followed by gender. Boys consistently achieve higher INVALSI scores, while girls receive higher teacher-assigned grades. Performance disparities are observed among the five Italian geographic macroregions, with students from northern and central Italy performing better. Linguistic abilities and gender show varying significance across grades. The role of geographic macroregion is more pronounced in high school. Results were confirmed using Boosting Regression, validating the findings. This study highlights the significance of teacher-assigned grades, linguistic skills, gender, and geographic disparities in predicting students’ performance on the INVALSI mathematics test, showcasing the value of machine learning modelsin addressing educational equity.
Ključne besede: INVALSI, mathematics, national assessment, random forest, grades
Objavljeno v RUP: 22.01.2026; Ogledov: 551; Prenosov: 4
.pdf Celotno besedilo (2,27 MB)
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Predicting Italian students’ mathematics outcomes : a decision tree regression analysis
Daniel Doz, Darjo Felda, Mara Cotič, 2025, izvirni znanstveni članek

Opis: The present paper aims to investigate the factors that influence the achievements of Italian students on the National Mathematics Assessment INVALSI. The study is a quantitative non-experimental research and utilizes the Decision Tree Method (DTM), a data mining and machine learning approach, to analyze the relationships and interactions among the variables and their influence on students’ mathematics performance. The sample for the study consists of 15,344 grade-10 students who took the INVALSI test in the school year 2021/22. Findings show that school typology had the highest relative importance, followed by students’ school grades in mathematics, socioeconomic status, geographic macroregion, gender, age, and, finally, origin. Based on these results, policymakers and educators should prioritize interventions that enhance educational environments and individual academic proficiency, particularly focusing on school type, mathematics grades, and students’ ESCS, to improve student achievements and promote deeper learning.
Ključne besede: INVALSI, decision tree, cross-validation, mathematics
Objavljeno v RUP: 19.01.2026; Ogledov: 454; Prenosov: 10
.pdf Celotno besedilo (1,12 MB)
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Učenje štetja skozi igro : diplomska naloga
Desire Udovič, 2025, diplomsko delo

Ključne besede: età prescolare, matematica, bambini, conteggio, numeri, giochi didattici matematici
Objavljeno v RUP: 19.08.2025; Ogledov: 892; Prenosov: 49
.pdf Celotno besedilo (1,26 MB)

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An experimental problem-based approach in mathematics teaching and mathematical problem-solving performance in grade 3 primary school pupils
Daniel Doz, Mara Cotič, Nastja Cotič, 2025, izvirni znanstveni članek

Opis: Problem-solving is a key aspect of mathematics instruction. Although it is part of several national curricula, its implementation is still being vastly explored. The present research, which is part of a larger project, aimed to investigate the effect of using problem-oriented in struction in grade 3 of primary school on students’ mathematical abilities of solving problems in arithmetic, geometry, and logic. The study used a pedagogical experiment, with a sample of 240 pupils in Grade 3 from four randomly selected Slovenian primary schools. Students were divided into two groups: 100 in the experimental group and 140 in the control group. Two tests of mathematical knowledge, constructed by the authors, were used to assess potential differences between the groups before and after the experiment took place. The results showed that the use of an experimental model of problem-based learning had a statistically significant effect on pupils’ mathematics problem-solving achievement in all the domains of mathematics (i.e., arithmetic, geometry, logic & set theory). The study suggests that modern school reforms should focus on problem-based mathematics instruction as a means of achieving meaningful and lasting knowledge in students. Additional research is needed to replicate the results due to the limited number of participants in the present research.
Ključne besede: achievements, control group, elementary, experiential group, problems
Objavljeno v RUP: 11.08.2025; Ogledov: 1201; Prenosov: 8
.pdf Celotno besedilo (2,51 MB)
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Inquiry‑based learning in Grade 9 mathematics : assessing outcomes across Gagné’s taxonomy
Daniel Doz, Amalija Žakelj, Mara Cotič, 2025, izvirni znanstveni članek

Opis: Inquiry-based learning (IBL) in mathematics is a student-centered approach that encourages exploration, problem-solving, and critical thinking, allowing students to actively engage with mathematical concepts and discover relationships through hands-on activities and collaborative learning. Despite the growing interest in IBL within mathematics education, which has demonstrated the efectiveness of this method on students’ achievements, less is known about its impact on Gagné’s taxonomy of knowledge (conceptual, procedural, and problem-solving knowledge). This study, based on Bruner’s instructional model, compares the efectiveness of IBL against traditional teaching methods in promoting mathematical learning across Gagné’s three taxonomies of knowledge in Grade 9 algebra content, using a sample of 258 Slovenian students (132 in the experimental group). Results show that the experimental group outperformed the control group in most areas, with no signifcant diference observed in procedural knowledge. The study suggests that IBL enhances students’ conceptual understanding and problem-solving abilities by fostering deeper engagement and critical thinking but may not have the same impact on procedural fuency, which requires repetitive practice.
Ključne besede: algebra, equations, inquiry-based learning, mathematics, problem-solving
Objavljeno v RUP: 04.07.2025; Ogledov: 1241; Prenosov: 13
.pdf Celotno besedilo (1,09 MB)
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