Union: Jurnal Ilmiah Pendidikan Matematika

Enhancing mathematical communication skills through cooperative learning model-based worksheets of talking stick type

Eka Fitri Kurniawati, Ria Sudiana — Sun, 13 Aug 2023 00:00:00 +0700

This study addresses the deficiency in students' mathematical communication skills attributed to teaching materials that do not effectively contribute to their development. The unappealing presentation of teaching materials leads to student boredom during learning activities and the adoption of inappropriate learning models. Therefore, enhancing communication skills through worksheets (LKPD) based on the cooperative talking stick model is essential. This research is research and development (R&D) using the research design of the development model of Borg and Gall (1983) with ten stages. However, in this study, only nine stages are considered, including 1) potential and problems, 2) data collection, 3) product design, 4) product validation, 5) product revision, 6) initial trials, 7) revisions, 8) usage trials, 9) Final revision, because this model has high validation that has been tested by several experts and produces an effective product. The research subjects comprised 35 ninth-grade students for the small-scale trials and 70 eighth-grade students for the large-scale trials. Data collection techniques in the form of questionnaires, tests, and documentation. The results of the feasibility test conducted by material experts, considering content, presentation, and language feasibility, yielded a score of 83.5%, and the results of media experts with aspects of model size, cover design, content design, component suitability obtained a value of 86.8% so that very feasible criteria were obtained. Based on teacher responses, the practicality test results yielded a score of 86.67%, and the results of the student's response obtained a value of 82.55%, so the response obtained very practical criteria. The effectiveness test results, employing N-Gain to measure student improvement after using the developed products to enhance mathematical communication skills, yielded 61.14%, indicating moderate effectiveness. Based on this, the products developed meet the criteria of feasibility, practicality, and effectiveness in the learning process.

Algebra essay questions: A validated instrument for evaluating the students' higher-order thinking skills

Nia Kania, Florence M. Kyaruzi, Lilis Marina Angraini — Wed, 20 Sep 2023 00:00:00 +0700

Indonesian pupils need help solving problems, particularly in mathematics, due to the need for practice questions with the higher-order thinking (HOT) type. This research aims to develop a reliable and valid tool for assessing students' higher-order thinking skills in mathematics. Developing a test involves gathering requirements, creating questions, assessing answers, running trials, analyzing data, making adjustments, and finally putting everything together. The instrument trial was conducted at SMAN at Majalengka, West Java. The total number of test subjects was 32 students. Research data were collected using a description test. The test instrument consists of 10 descriptions, but only 6 had good validity based on the value of V on the V-Aiken. In addition, the test package produces reliable questions based on Cronbach's Alpha scores. The test results of the instrument showed that the HOTS of mathematics for Grade X students was good. This step provides an overview to teachers in designing valid and relevant instruments.

Teaching mathematics through a cultural lens: Allowing students to resonate the academic content

Angga Hidayat — Wed, 20 Sep 2023 00:00:00 +0700

Indonesia is a country of diversity, with a variety of different cultures incorporated into the national identity. With a great range of cultural groups existing in Indonesia, it is essential for teachers to implement a cultural approach in their mathematics classes to ensure that students from all backgrounds have the opportunity to learn and understand the academic content. This article intends to explore the topics of multicultural education in mathematics classrooms. It has been found in the pieces of literature available that an appreciation of cultural dissimilarities can be beneficial and should be seen as an advantage rather than a shortcoming. To accommodate this peculiarity, there are strategies that can be utilized such as funds of knowledge, ethnomathematics, and also storytelling within mathematics lessons. These strategies grant teachers multiple methods of preserving culture while at the same time teaching mathematics effectively and efficiently.

The impact of self-efficacy and math anxiety on the mathematical communication ability of 7-grade students

Aan Julia Hanub, Istiqomah Istiqomah, Betty Kusumaningrum, Elang Amadeus Poort — Wed, 20 Sep 2023 00:00:00 +0700

The primary aim of this study is to assess the influence of self-efficacy and math anxiety on the proficiency of mathematical communication among Class VII students enrolled in State Junior High Schools within the Depok District. The research methodology is quantitative, employing an ex-post facto correlational descriptive approach. The study encompasses the entire population of Class VII students across all State Junior High Schools within the Depok District, with a sample size of 190 students selected through cluster random sampling. Data collection involves employing questionnaires to gauge students' self-efficacy and math anxiety levels, alongside descriptive tests to evaluate their aptitude in mathematical communication. Preceding the analysis, preliminary tests are conducted to assess linearity and multicollinearity. The data analysis procedure encompasses multiple regression analysis and t and F tests to ascertain both individual and collective impacts. The findings reveal the absence of a discernible impact from self-efficacy and math anxiety on the mathematical communication skills of Class VII students in State Junior High Schools in the Depok District. For subsequent researchers, it is recommended to carefully consider the construction of questionnaire statements to ensure their comprehensibility among students.

The effect of using the Quizizz application in mathematics learning on student learning outcomes

Muhamad Rifqi Maulana, Samsul Pahmi, Fitria Nurulaeni, Jeanne Sauce — Tue, 28 Nov 2023 00:00:00 +0700

This research is motivated by the need for more media use in mathematics learning. One of the impacts of the lack of media on learning mathematics is learning outcomes that could be more optimal. The media that can be used is technology, namely learning media based on the Quizziz application. The population of this study was students of SDN Dewi Sartika CBM, with the sample used being class 5 A of 35 people. Sampling using a purposive sampling technique. This study aims to determine how using the Quizziz application in learning mathematics affects student learning outcomes. The data collection techniques used were interviews, tests, and questionnaires. The data analysis tests carried out in this study were the Validity Test, Reliability Test, Normality Test, T-test, and N-Gain Test. The results of the data analysis showed that the data values were normally distributed with an average Pre-Test score of 31.74 in the less category and an average Post-Test score of 66.37 in the less category. The results of the analysis of data testing through SPSS can be seen in the Coefficients value obtained by sig. 0.000. It turns out that the value of sig. 0.000 < 0.05. It means that H₀ is rejected. This shows that using the Quizizz application in learning mathematics affects student learning outcomes at SDN Dewi Sartika CBM, Sukabumi City. The N-Gain test results show that the mean value is 50.30% in the less effective category.

Development of flipped classroom math learning instruments with advocacy-sociograph

Zainnur Wijayanto, Indah Ayu Rukmana, Betty Kusumaningrum, Elang Amadeus Poort — Fri, 03 Nov 2023 00:00:00 +0700

The research project described aims to create a Math learning media with a flipped classroom model on "Polyhedron of Cube and Block" for grade VIII Junior High School students. This device uses the advocacy-sociograph approach. This research uses three stages of development, namely Defining, Designing, and Developing. After conducting data analysis, it can be concluded that the results of the validation of the lesson plan are valid, indicating that it is well-designed and suitable for teaching the targeted mathematics content. Similarly, the e-LKPD (e-worksheet) also received very valid validation results, indicating that the e-LKPD is very suitable and adequate to facilitate student learning. These positive validation results indicate that the learning tools in lesson plans and LKPDs (worksheets) based on the flipped classroom approach with advocacy-sociographs are valid and feasible for further testing. The researchers recommend this learning tool as a reliable reference source for mathematics learning in Junior High School.

Development of electronic student worksheets using a Liveworksheet on Pythagorean theorem material class VIII junior high school

Wed, 29 Nov 2023 00:00:00 +0700

This research is inspired by the many students who think of mathematics as a difficult subject, one of which is the Pythagorean theorem. This study aimed to determine the validity and practicality of using the Electronic Student Worksheets or E-LKPD with a Liveworksheet on Pythagorean Theorem material. This type of research is research and development using the ADDIE development model. The subjects in this study were material experts, media experts, and class VIII A students of SMP Muhammadiyah Imogori. The findings show that the developed E-LKPD received a "valid" category from material experts with a total of 79.6% aspects, a "very valid" category from media experts with a total of 81% aspects, for the practicality of assessment students obtained 85% for small classes with the category "very practical," and for large classes of 75.7% with the category "practical." According to the findings of this study, the E-LKPD is valid and practical use in learning.

Mathematics teachers’ conceptions about infinity: a preliminary study at the secondary and high school level

Irving Aarón Díaz-Espinoza, José Antonio Juárez-López — Wed, 29 Nov 2023 00:00:00 +0700

The literature indicates that students consistently exhibit limited conceptions of infinity in various contexts. Furthermore, it is more resistant in geometric than arithmetic contexts. On the other hand, there is a smaller amount of literature that explores teachers' conceptions and how these conceptions may be similar to those of their students. Therefore, this work presents the results obtained from applying a five-item instrument with secondary and high school mathematics teachers who are in public or private service in the state of Puebla, Mexico. This study had a dual purpose: to show that teachers also possess limited conceptions of infinity, as students do, thereby expanding the existing literature on this topic; and secondly, to emphasize that the results shown here will enable subsequent work to design an intervention for a profound conceptual change regarding infinity among teachers.

The effectiveness of the RADEC learning model on the numerical ability of madrasah tsanawiyah students

Nadia Oktavia, Aan Subhan Pamungkas — Sun, 13 Aug 2023 00:00:00 +0700

Numeracy skills are essential for junior high school students in the 21st century. The RADEC (Read, Answer, Discuss, Explain, Create) model is appropriate for implementation. This research aims to examine the effectiveness of the RADEC learning model in improving the numeracy skills of junior high school students. The research utilizes a quasi-experimental method with a nonequivalent control group design. The subjects of this research are male and female students in Madrasah Tsanawiyah Negeri (MTsN) 1 Pandeglang, with the population consisting of all seventh-grade students in MTsN 1 Pandeglang during the even semester of the academic year 2022/2023. The sample includes two classes determined purposively, with class VII A as the control group and class VII E as the experimental group. The instrument used in this research is a numeracy skills test. The research findings indicate that the improvement in numeracy skills of students using the RADEC model is considered better than that of students using the problem-based learning model. In conclusion, the RADEC learning model is more effective in enhancing students' numeracy skills than the problem-based learning model.

Ethnomathematical exploration of Yogya Kembali Monument (Monjali)

Mika Tanti Nurwati, Suparni Suparni — Tue, 28 Nov 2023 00:00:00 +0700

Yogya Kembali Monument is one of the tourist attractions in which there are relics of the struggle for Indonesian independence in reclaiming the Special Region of Yogyakarta. In terms of form, if analyzed in depth, there is a connection with mathematical concepts. This study aims to explore mathematical concepts (ethnomathematics) in the Yogya Kembali Monument. The type of research used in this study is exploratory research with an ethnographic approach. Data collection techniques are done through observation, documentation, and literature studies. This study aims to explore the collection of objects contained in the Yogya Kembali Monument, which can then be used as a source of learning media in teaching mathematical concepts to students. This research resulted in the discovery of mathematical concepts in the Yogya Kembali Monument, generally in the form of Build Flat and Build Space. These results can be implemented into mathematics learning and an effort to increase the love of local culture through ethnomathematics-based learning.

The effect of learning interest on students' mathematical critical thinking ability in vocational high school

Anggun Apriliani, Nia Kania, Iik Nurhikmayati — Tue, 28 Nov 2023 00:00:00 +0700

This research investigates the impact of students' interest in learning critical mathematical thinking skills in the context of vocational high schools (SMK) by using a quantitative approach with correlational research methods. This research involved all class XI students of Ma'arif Al-Ghozali Vocational School as the population. Purposive sampling was used to select a sample of 30 students. Data analysis includes various statistical tests, including normality, linearity, correlation, and simple regression tests. The findings of this study reveal an essential relationship between students' learning interests and their mathematical critical thinking abilities. In particular, there is a significant favorable influence between interest in learning and students' critical mathematical thinking abilities. These results underscore the importance of nurturing and improving their mathematical critical thinking skills. This study contributes to our understanding of the factors influencing mathematical critical thinking skills in vocational high school students. It offers valuable insights for educators and policymakers seeking to improve mathematics education in such settings.

Mathematical communication ability viewing of self-efficacy in project-based learning assisted by performance assessment

Irta Ziyaadaturrizka, Rochmad Rochmad, Scholastika Mariani — Tue, 28 Nov 2023 00:00:00 +0700

This research aims to achieve two primary objectives. Firstly, it seeks to assess the effectiveness of Project-Based Learning (PjBL) by incorporating performance assessment in enhancing students' mathematical communication abilities. Secondly, the study aims to characterize students' mathematical communication abilities to their self-efficacy levels. A mixed-methods approach was employed in this study, with a population comprising 251 seventh-grade students from SMP Negeri 24 Semarang. Data were gathered through mathematical communication skill tests, self-efficacy questionnaires, and interview guidelines. The experimental group underwent PjBL facilitated by performance assessment, while the control group experienced PjBL alone. Results indicated that the experimental group demonstrated classical mastery of mathematical communication abilities, with higher average and proportional achievements than the control group. PjBL assisted by performance assessment proved to be more effective than PjBL alone. Analysis of mathematical communication abilities based on students' self-efficacy levels revealed that (1) subjects with high self-efficacy fulfilled all indicators; (2) subjects with moderate self-efficacy fulfilled indicators one and two, were less proficient in fulfilling indicators four and were unable to fulfill indicator three; and (3) subjects with low self-efficacy fulfilled indicator one but had not yet achieved indicators two, three, and four.

The relationship between self-regulated learning and student learning outcomes in applied mathematics courses

Ega Edistria, Darul Nurjanah, Abdul Azis Abdillah, Rimalia Anggraini — Tue, 28 Nov 2023 00:00:00 +0700

This study aims to ascertain whether there is an interaction between self-regulating rules and student learning outcomes in applied mathematics courses. This study uses the product-moment correlation method from Karl Pearson. The research sample of 57 students was determined by convenience sampling. The data were obtained from questionnaires and midterm math scores. Data analysis methods use descriptive percentages, basic tests for linear regression, and SPSS version 16.0 for hypothesis testing. The findings of this research indicate that self-regulation has a solid and beneficial impact, correlated with the results of student learning in applied mathematics courses. The result of the calculation is the coefficient r xy = 0.721 > 0.005, with a determinant of 51.98%. The greater the degree of self-regulation, the more significant the learning outcomes obtained by students in applied mathematics courses.

The influence of learning motivation on high school students' mathematical creative thinking ability

Elis Rosmawati, Nia Kania, Iik Nurhikmayati — Tue, 28 Nov 2023 00:00:00 +0700

This research aims to investigate the impact of learning motivation on students' mathematical creativity. Employing correlational research techniques with a quantitative approach, the study focuses on the entire Class X population at MIPA Rajagaluh High School. The purposive sampling method was applied to select 30 students from Class X MIPA 6. Research tools included tests on creative thinking and surveys to gauge students' enthusiasm for learning. Data analysis involved correlation, linearity, and normalcy tests. The results revealed a noteworthy correlation between learning motivation and enhancing students' mathematical creative thinking skills.

Students' mathematical representation ability in solving contextual problems on circle material

Distya Haerani Saputri, Nur Izzati, NurAsma Riani Siregar — Tue, 28 Nov 2023 00:00:00 +0700

This study aimed to describe students' mathematical representation ability in solving contextual problems on circle material. The approach used is a qualitative approach with a descriptive research type. The research subjects came from class VIII B SMP Negeri 15 Tanjungpinang and were selected from as many as eight students. Data collection was done through test techniques and semi-structured interviews. The research findings show that students have different mathematical representation abilities. Students with very high mathematical representation ability categories can master three mathematical representation indicators (visual, mathematical equations or expressions, and written words or text). Students with high categories are only able to master two indicators (visual and mathematical equations or expressions), students with medium categories are only able to master one indicator (visual or mathematical expressions), and students with fewer categories are not able to master all three mathematical representation indicators. The tendency of students to master the indicators of mathematical equations or expressions well is due to being able to use mathematical connection skills well.

Application of the Kahoot game-based problem-based learning model to increase motivation and learning achievement in the calculus

Nur'aini Muhassanah, Dwiani Listiya Kartika — Wed, 29 Nov 2023 00:00:00 +0700

The purpose of this study is to raise student achievement and learning motivation by implementing problem-based learning based on the Kahoot game. This research was carried out from February to April 2023. This type of research is classroom action research, which consists of 2 cycles, each with four stages: planning, implementing, observing, and reflecting. This research was conducted on 12 students of the mathematics study program, even in the semester 2022/2023, who took the Calculus 2 course. Data collection techniques were tests and observations. The results of this research are as follows: 1) There was an increase in learning achievement after implementing the Kahoot game-based problem-based learning model seen from the class average before learning. 57.87 and after cycles I and II, with a class average of 71.5 and 80.25. 2) increase student learning motivation. This is indicated by the results of the learning motivation data before the research, which met the good enough criteria; as many as seven students (58.33%) and five students (41.67%) met the good criteria. After taking action, eight students (66.67%) fell into the good criteria, and four (33.33%) fell into the very good criteria.

Development of Android-based learning media using Smart Apps Creator on high school trigonometry material

Dita Kirana, Rahmi Rahmi, Mulia Suryani — Wed, 29 Nov 2023 00:00:00 +0700

This research is motivated by students' low enthusiasm to participate in mathematics. Students are more interested in using technological developments in learning because they look attractive, simple, and practical. This research aims to produce learning media based on Android using a valid and practical Smart Apps Creator. This research type is often known as Research and Development (R&D) using the ADDIE development model (Analyze, Design, Development, Implementation, Evaluation). The participants in this study were XI IPA students at SMAN 1 X Koto in the Tanah Datar region. Validation questionnaires and practicality test questionnaires were the instruments utilized in this investigation. The percentage of the final assessment of the validity of learning media was 92.5%, with a very valid category based on the findings of the validator's assessment, which included media specialists and material experts. The teacher received a total score of 100% in the extremely practical area for the practicality rating. The pupils' ultimate practicality score fell into the very practical group with an 83.24% percentage. With a typical rate of 91.6%, using media is feasible. Based on the study's findings, the Smart Apps Creator-based Android learning resources for class XI IPA SMAN 1 X Koto, Tanah Datar Regency have been deemed legitimate and workable for usage by instructors and students.

Analysis of student errors in solving geometric proof problems based on Newman's theory

Syifa Afidah Nurul Arifin, Iyon Maryono — Wed, 29 Nov 2023 00:00:00 +0700

This study aims to determine the characteristics of student errors in solving geometry proof based on Newman's Theory. The research method used is a qualitative research method with a phenomenographic approach. This research was conducted to prevent students from repeating mistakes in advanced geometry courses. The types of errors based on Newman's Theory used in this study are: (1) reading errors in the representation of mathematical symbols; (2) comprehension errors of the proof problem; (3) transformation errors of the proof problem; (4) process skills errors of the proof problem; and (5) encoding errors. The subjects of this study were 15 students, and the instruments used were interview guidelines and documentation. The results of this study are reading errors in the representation of mathematical symbols with an average of 15.81%, with error characteristics that students do not write geometry symbols according to the rules. Comprehension errors of the proof problem with an average of 4.78%. Transformation errors of the proof problem with an average of 26.84%. Process skill errors of proof problems with an average of 29.04%. Encoding errors with an average of 23.53%.

Development of web-based e-LKPD to develop high school students' numeracy on geometry

Aan Subhan Pamungkas, Etika Khaerunnisa, Tania Fajriyanti — Thu, 30 Nov 2023 00:00:00 +0700

This development is motivated by the importance of numeracy skills for secondary school students. It is necessary to have learning resources supported by technological developments. However, the facts in the field show that existing learning resources are still conventional and have yet to lead to the achievement of student numeracy. Based on this background, this development aims to develop web-based student worksheets in mathematics learning in secondary schools. This research was conducted at MAN 1 Serang City for grade XI students. The development model used is the ADDIE model: Analysis, Design, Development, Implementation, and Evaluation. The instruments used to measure the feasibility of this teaching material are expert validation questionnaires consisting of media experts and material experts, practicality questionnaires, and numeracy tests. Based on the results of processing the expert validation questionnaire, the results obtained are the assessment of media experts in the form of LKPD getting an average percentage score of 85% with very feasible criteria, the assessment of media experts in the form of a web getting an average percentage of 82% with feasible criteria and the assessment of material experts getting an average percentage score of 83% with very feasible criteria. Based on the analysis results, the learner worksheets developed are valid for developing the numeracy of secondary school students.

Understanding quantified statements in mathematics learning at the university

Denik Agustito, Dafid Slamet Setiana, Heru Sukoco, Krida Singgih Kuncoro — Thu, 30 Nov 2023 00:00:00 +0700

The objective is to provide knowledge for pure mathematics and mathematics education students to understand quantified statements so that they can easily comprehend the meaning of mathematical propositions and facilitate their proof. The method used in this research is a literature review by collecting various sources such as books or scientific writings related to the logic used to understand mathematics, specifically related to quantifiers, both universal and existential quantifiers. When mathematics and mathematics education students understand the quantified statement ∀x[Px], what they do is take any (cannot choose specific) x, and it must be proven that x satisfies property P. Then, to understand the quantified statement ∃x[Px], what is done is to choose (at least one) x, and it must be proven that x satisfies property P. When mathematics and mathematics education students understand the multi-quantifier statement ∀x∃y[P(x,y)], what is done is to take any (cannot choose specific) x, then find (at least one) y (depending on x), and x, y must satisfy property P. Then, to understand the multi-quantifier statement ∃y ∀x[P(x,y)] or ∃y [P(x,y)∀x], what is done is to choose y (independent of x) and it must be proven that y satisfies property P along with all x.