Infinity Journal

Case study in a grounded theory perspective: Students' reasoning abilities in Lithner's framework across self-regulated

Ginda Maruli Andi Siregar — 2024-12-14

Students' performance in understanding and developing algorithms from numerical methods is crucial because these concepts require them to engage in reasoning. DL-CA facilitates learning for fifth-semester bachelor students, specifically those in mathematics education, in comprehending numerical methods, algorithm concepts, and program development. Computer-assisted learning is appropriate for internalizing discovery learning and supporting autonomous study. The condition that differentiates individual learners is the level of self-regulated learning (SRL), which significantly enhances reasoning abilities by enabling goal setting, progress monitoring, and strategy adaptation, resulting in improved critical analysis and problem-solving skills. This grounded theory research investigates the reasoning outcomes of students in learning algorithm concepts for non-linear equation problems using computer-assisted discovery learning (DL-CA) through a web platform. It examines levels of self-regulated learning (SRL) and explores students' reasoning perspectives to describe differences in each level of SRL. Data analysis involved open coding through to categorization as essential steps in grounded theory, supported by method triangulation to enhance the validity and reliability of the findings. It was conducted using HyperRESEARCH output, a tool that aids in following comprehensive qualitative research procedures. The output suggests the following conjecture: The reasoning abilities of students in the high self-regulated learning (SRL) group encompass four categories: memorization, algorithm, plausibility, and mathematical foundation. In contrast, students in the medium and low SRL groups only demonstrate imitative reasoning abilities. Novel reasoning abilities are not sufficiently explained by these students, potentially due to limitations in the instruments or misunderstandings of the problems.

Empowering students’ numeracy skills: Mathematics teachers’ perceptions regarding the effectiveness and challenges of Indonesian national curriculum and the programs – A mixed method study

Irma Rachmah Hidayah — 2024-11-21

As the Indonesian National Curriculum (INC), the Merdeka curriculum was implemented in response to students' difficulties in comprehending and utilizing basic mathematics, contributing to low numeracy skills. This study investigated mathematics teachers' perceptions in Indonesia concerning the effectiveness of INC and the supporting programs, such as the National Assessment (NA) and Pancasila Student Profile (PSP), in improving students' numeracy skills. It also aimed to identify mathematics teachers' challenges in integrating numeracy skills into the curriculum and these programs. A mixed-method study with a sequential explanatory design was used to achieve this objective. The data collection was carried out through quantitative and qualitative approaches. Closed questionnaires were explicitly used for quantitative data, while open questionnaires and interviews were used for qualitative data. Inferential statistics were used to analyze the quantitative data and a thematic analysis for qualitative data. The quantitative results showed that most teachers positively perceived the effectiveness of INC and the programs in empowering students' numeracy skills. The implementation of INC and PSP significantly influenced the empowerment of numeracy skills. The qualitative analysis provided an in-depth exploration of teachers' perceptions and the challenges faced in promoting numeracy skills in implementing INC and the programs.

Oral traditions as a fount of ethnomathematical knowledge: A bibliometric analysis of contemporary research trends

Adhi Surya Nugraha — 2024-11-25

This study mapped the contemporary research landscape surrounding “oral traditions as a fount of ethnomathematics knowledge” through a bibliometric analysis employed as a methodological procedure. The main problem addressed in this study is the lack of a comprehensive consideration of evolving research trends and intellectual structure within ethnomathematics, i.e., the role of oral traditions as a source of knowledge. Oral traditions, defined as the cultural knowledge, art, ideas, and practices transmitted verbally across generations, offer a rich repository of ethnomathematical insights. 713 publications were identified from the Dimensions database between 2014 and 2024. This bibliometric analysis focused on identifying key research themes, authors, publishers, keywords, or key terms distributions within the corpus of extracted publications, as well as temporal trends in publication activity and citation patterns. The findings revealed a growing interest in the field, focusing on (a) educational context, (b) cultural studies, and (c) the intersection of mathematics and language. The analysis also identified key research themes, such as (a) the role of language and culture in shaping mathematical thought, (b) the development of ethnomathematical practices, and (c) the pedagogical implications of incorporating ethnomathematics into formal education. Additionally, 11 influential scholars who are driving the field forward were identified. According to the term distribution analysis, of the 6,092 terms, 316 met the threshold (minimum number of occurrences of the term: 6). For each 316 terms, a relevance score has been calculated. Based on this score, the most relevant terms have been selected. The VOSviewer’s default setting (60% of the most relevant terms) resulted in selecting 190 terms. Based on the given criteria, there is a result of 5 distinctive clusters related to the query that emerged. This study provides theoretical insights into the conceptual foundations of ethnomathematics derived from oral traditions and empirical evidence for informing future research directions and pedagogical practices in mathematics education.

Developing engaging STEAM-geometry activities: Fostering mathematical creativity through the engineering design process using Indonesian cuisine context

Agnita Siska Pramasdyahsari — 2024-11-28

Enhancing mathematical creativity requires more learning activities that foster creative thinking. However, teachers need more resources and activities to nurture students' creativity in mathematics effectively. Therefore, this study aimed to design STEAM-based geometry activities using the Engineering Design Process (EDP) to explore how such projects can enhance students' mathematical creativity. In this study, creativity focuses on how students use geometric principles to design Wingko Babat as an Indonesian cuisine, making culturally meaningful connections and solving design challenges. The study involved research and development using the analysis, design, development, implementation, and evaluation (ADDIE) model, continuing with a descriptive qualitative approach. The activities designed for the STEAM-Geometry projects allow students to think creatively and elaborate on the engineering design process. Through expert reviews that involved multiple educators, the design activities on the STEAM-Geometry project are reliable and valid. The findings show that the EDP on Geometry project enables students to think creatively. The findings imply that teaching geometry can develop the students' mathematical creativity through the engineering design process in STEAM activities. Furthermore, it indicates that the design activities encompass more than just understanding geometry; they also nurture creativity by applying STEAM principles in the engineering design process. Integrating STEAM principles within culturally meaningful, geometry-based tasks enhances students' critical thinking, creativity, collaboration, and real-world problem-solving skills, preparing them to tackle complex challenges beyond the scope of mathematics.

The effect of teaching props on the mathematical problem-solving skills: A meta-analysis study

Sri Adi Widodo — 2024-12-14

Researchers have widely researched the effects of teaching props, and most concluded that, statistically, there is an effect on problem-solving ability. However, how significant is the effect on problem-solving ability, and whether their research results are parallel to other research they have yet to do? So, the reliability of research related to teaching props still needs to be considered. This research aims to analyze the results that examine teaching props on problem-solving abilities. The method used in this research is meta-analysis. This research was carried out through meta-analysis stages, namely determining inclusion criteria, collecting data and coding variables, statistical analysis by determining the effect size, and making conclusions from the data obtained. Data collection was carried out by collecting data from research conducted from 2018 to 2023 on the Google Scholar database. This data collection obtained twenty-six (26) studies that met the inclusion criteria for extraction from research and development, experimental, and quasi-experimental. Effect size measures the effect of teaching props on students' problem-solving abilities. Based on these calculations, an effect size value of 2.449. This research indicates a significant and positive influence between teaching props and students' problem-solving skills, especially in mathematical learning. Therefore, it is necessary to develop teaching props to improve mathematical problem-solving skills.