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Development of PBL-based teaching modules to improve the mathematical communication skills of phase D class VII students
Full text linkThis study aims to develop a product in the form of a mathematics teaching module based on the Problem-Based Learning (PBL) model to enhance students\u27 mathematical communication skills in the context of linear equations and inequalities with one variable for Grade VII students in junior high schools (SMP/MTs). The study evaluates the teaching module\u27s validity, practicality, and effectiveness. Additionally, the findings of this research can serve as a reference for teachers in designing teaching modules that improve communication skills in other mathematical topics and as a resource for students to practice and enhance their communication skills. This research is based on the importance of mathematical communication skills for students. According to the Ministry of National Education, one of the objectives of mathematics learning is to enable students to communicate their ideas through symbols, tables, diagrams, or other representations. However, field observations show that the reality is quite the opposite. The mathematical communication skills of Grade VII students (Phase D) in junior high schools are still relatively low, particularly in linear equations and inequalities with one variable. One of the indicators of this issue is that students do not create mathematical symbols accurately when solving problems. While they can solve problems presented in a format like the teacher\u27s examples, they struggle with different problem formats, especially word problems, which are confusing. The data collection instruments used in this study include validation and practicality instruments. The data collection techniques involve interviews, questionnaires, and mathematical communication skill tests. The data analysis techniques employed are both quantitative and qualitative analyses. The development of the teaching module in this research follows the 4-D model (Four-D Model), which consists of four stages: defining, designing, developing, and disseminating
Application of problem-based learning on linear program to analysis rationalism value as a mathematics values
Full text linkRationalism value is closely related to mathematics because it is based on reason and knowledge. The results of rationalism values develop students\u27 skills in terms of reasoning, expressing and defending their opinions, interpreting data obtained from experiences and attempting to make predictions. Therefore, this study aims to describe student rationalism values in linear program problem-based learning. The research subjects were determined purposively based on the result of summative assessment, teacher recommendation, the diversity of answers, and the willingness to be involved in the research. The selected subject was three students of class X SMA in Indralaya. The data were collected using tests and interviews, which were analyzed descriptively. The Problem-based Learning Model can bring out Rationalism Values in Linear Program material. Students can develop indicators, investigate the truth, and conclude. The indicators that appear most frequently are investigating the truth. Difficulties often predominantly arise when translating problems into mathematical models. The cause of students experiencing errors in concluding is due to errors in understanding mathematical concepts in the form of inequality signs where students mistakenly differentiate between the inequalities "less than" and "less than equal to", one of the reasons for this is because they have not mastered the prerequisite material such as linear inequalities in one variable or two variables
Development of student worksheets based on local wisdom in the Riau Islands Province using realistic mathematics education to facilitate mathematical reasoning abilities
Full text linkThis research is motivated by students\u27 low mathematical reasoning ability due to conventional teaching methods and the lack of learning resources that support students\u27 reasoning skills. Local wisdom-based student worksheets were developed using the Realistic Mathematics Education approach to address this issue. Local wisdom from Tanjungpinang, Riau Islands, such as Otak-otak and Batik Gonggong, was used as the context for learning Systems of Linear Equations in Two Variables. The research method used is Research and Development (R&D) with a 4D development model (define, design, develop, disseminate). The instruments for assessing validity and practicality were expert validation questionnaires and student response questionnaires using a Likert scale. The effectiveness instrument used was a set of four essay questions. Data obtained on the Likert scale were analyzed using the Method of Successive Interval (MSI). Validation results showed that the student worksheets were categorized as valid, with an average expert validation percentage of 76.2%. Practicality tests yielded an average percentage of 77.59% (small group) and 67% (field test), both categorized as practical. The effectiveness test results showed an average score of 79.8 in the high category, and the mathematical reasoning ability test was deemed effective, with a classical mastery level of 90%. This study highlights the effectiveness of local wisdom-based worksheets using the Realistic Mathematics Education approach to facilitate students\u27 mathematical reasoning skills and encourages teachers to integrate local wisdom into student worksheets
Exploring students\u27 understanding of Pascal\u27s Mystic Hexagon Theorem within projective geometry
No full textThis study investigates Blaise Pascal\u27s contribution to mathematics, focusing on the Mystic Hexagon Theorem, and evaluates the understanding of Mathematics Education students at Padang State University (Class of 2021). A qualitative approach was employed, combining a systematic literature review and semi-structured interviews with 10 students selected from five classes. Student responses were analyzed and categorized into four levels: Expert, Medium, Low, and Unknowing. The findings reveal that only two students could successfully prove Pascal\u27s Mystic Hexagon Theorem with clear and logical steps. At the same time, the remaining participants struggled to identify key concepts or complete the solution process. This outcome indicates students\u27 significant lack of understanding of historical mathematical theories, highlighting an educational gap in integrating historical contexts into modern curricula. The study implies that incorporating historical mathematical theories, such as Pascal\u27s contributions, into classroom instruction can improve students\u27 problem-solving abilities, critical thinking, and geometric reasoning. Additionally, exposure to mathematical history fosters deeper appreciation and motivation, connecting abstract concepts to their historical evolution. Bridging this gap through history-based learning strategies can make mathematics more engaging and meaningful, enabling students to develop more substantial foundational knowledge and practical skills
Implementation of the window-shopping learning model assisted with "padlet" to increase students\u27 mathematics learning activity and motivation
Full text linkStudent learning motivation will increase, which is determined by the teacher\u27s ability to learn design. As a result, students are more interested in actively searching and finding their ideas. This study aims to determine increased student activity and motivation to learn mathematics on Limited trigonometric function. Researchers used the Window-Shopping learning model assisted by Padlet. This research is a collaborative Classroom Action Research. The subjects in this study are students of class XII-1 at Madani Integrated Model Senior High School in the 2023/2024 academic year. The stages in the research follow the flow of Kemmis and McTaggart and consist of planning, action, observation, and reflection. Data collection in this study was conducted by observing student activity during the teaching and learning process and using questionnaires. The results showed that students\u27 learning activities are significantly increased. This happens more when they are involved in the learning process; consequently, students can build their knowledge. Students support each other, share ideas, and collaborate in constructing their knowledge. In addition, the results of this study are based on the completion of a student learning motivation questionnaire. Based on the questionnaire obtained in the first cycle, it amounted to 70.67%. In the second cycle, it increased by 11.35%. So, the total increase is 82.02%. This can be categorized in the predicate "good.
Development of learning media using QuizWhizzer based on ethnomathematics as a learning exercise
Full text linkThe utilization of ethnomathematics-based learning media has driven this research to explore students\u27 understanding of the application of mathematics in daily life. This study aims to (1) Describe how the ethnomathematics-based learning media using QuizWhizzer as a learning exercise is developed; (2) Evaluate the validity of the ethnomathematics-based learning media using QuizWhizzer as a learning exercise; (3) Assess the practicality of the ethnomathematics-based learning media using QuizWhizzer as a learning exercise; (4) To evaluate the effectiveness of the ethnomathematics-based learning media using QuizWhizzer as a learning exercise. The research and development (R&D) method, specifically the ADDIE model, was used for this study. Data sources were obtained from the validation results of media and content experts and eighth-grade students at SMP Negeri 50 Bandung. The findings indicate that (1) The development process adhered to the stages of the ADDIE model; (2) The validation of the mathematics learning media was rated as “highly valid” by both media and content experts; (3) The practicality of the learning media using QuizWhizzer was rated as “highly practical”; (4) The effectiveness of the QuizWhizzer-based learning media was rated as "effective.
Rasch model analysis: Evaluating students\u27 spatial thinking ability in higher-order thinking skills trigonometric comparison assessment (HOTS-TCA)
Full text linkThis study addresses the critical issue of insufficient spatial thinking abilities among students, which significantly affects their performance in higher-order thinking skills (HOTS) tasks, particularly in trigonometry. Focusing on 11th-grade students in Tanjungpinang, Indonesia, the research investigates how spatial thinking influences the ability to solve trigonometric comparison problems. Employing a mixed-method approach, the study integrates quantitative data from the Higher-Order Thinking Skills in Trigonometric Comparisons Assessment (HOTS-TCA) with qualitative insights from post-test interviews. Rasch Model Analysis evaluates the quality of an assessment instrument by providing measures of respondent abilities and item difficulties, fit statistics to ensure model alignment, reliability, and separation indices for consistency, a Wright Map for visualizing the relationship between skills and difficulties, and checks for unidimensionality and potential item bias to ensure fairness and validity. The Rasch analysis further confirms the reliability and validity of the HOTS-TCA instrument, highlighting its effectiveness in measuring spatial thinking across varying ability levels. The study finds that students with high spatial ability excel in visualizing geometric relationships but struggle with complex three-dimensional tasks. In contrast, medium-ability students have difficulties with mental manipulation and real-world applications, and low-ability students face significant challenges in basic visualization and interpreting geometric structures, leading to frequent misconceptions
Analysis of mathematical critical thinking ability of junior high school students in solving problems on two-variable linear equation system
Full text linkCritical thinking skills are important for students in the process of learning mathematics. Critical thinking skills in the mathematics learning process can help students better understand the material. This study aims to describe students\u27 critical thinking skills in solving problems on the Two-Variable Linear Equation System material. This type of research is descriptive qualitative. The subjects of the study were 18 students of class VIII MTS Daarun Nahdhah Bangkinang. The data collection instruments used in this study were mathematical critical thinking ability test questions and interview sheets. The test to measure students\u27 critical thinking skills consisted of 4 descriptive questions on the Two-Variable Linear Equation System material. The test results were analyzed according to the indicators of critical thinking skills used in this study: Interpretation, Analysis, Evaluation, and Inference. The results of this study stated that the average value of mathematical critical thinking skills of class VIII students of MTS Daarun Nahdhah Bangkinang was 41.99% in the reasonably critical category. The interpreting indicator is in the low category with an average of 25.78%, the analyzing indicator is in the sufficient category with an average of 54.68%, the evaluating indicator is in the sufficient category with an average of 49.21%, and the inferring indicator is in the low category with an average of 38.28%. Based on the research results above, teachers must get used to giving students non-routine questions in learning, using contextual LKPD, and providing varied learning resources to improve students\u27 critical thinking skills
Developing AI-assisted learning worksheets to strengthen literacy and numeracy skills
Full text linkAccording to research, PISA, and national exams, pupils\u27 numeracy literacy is generally low; teachers frequently utilize less participatory and irrelevant real-life teaching methods. Learning can be made more engaging by integrating technology into it, one example being the application of artificial intelligence (AI). This study aims to examine the validity and usefulness of student worksheets created using artificial intelligence to improve numeracy literacy abilities in the area of linear inequality of one variable. This is a preliminary and formative evaluation study. Product preparation and design were completed at the preliminary stage. Furthermore, formative evaluation stages include expert review, one-on-one, small group, and field tests. The material used is linear inequality in one variable, and the questions are related to numeracy literacy metrics. Questionnaires and interviews were employed to obtain the data. The questionnaire consists of both validity and practicality questionnaires. Validity data is derived from expert comments and suggestions. Questionnaires and interviews are used to collect practical data. The validity and practicality of data were qualitatively assessed by changing the worksheets in response to the validator and student comments and suggestions. The study\u27s findings revealed that worksheets using AI were deemed valid at the expert review stage and very practical based on the results of the practicality questionnaire and interviews at the one-on-one, small group, and field testing phases. AI-powered worksheets can be utilized more widely to promote learning in class and individually. Schools might include AI technology in their learning strategies to increase numeracy literacy
A half century of didactic design in mathematics education: A bibliometric analysis
Full text linkThis study aims to examine the results of studies on didactic design in mathematics education as a contribution to the advancement of study concerning didactical design research. 1413 research articles on didactic design in mathematics education indexed in Scopus over the past 50 years, from 1973 to 2024, were collected and analyzed using bibliometric analysis. The results show increased studies related to didactic design in mathematics education. Based on the bibliometric analysis using VOSviewer and RStudio, there was a significant increase in publication between 2016 and 2022 but a decrease in 2023. The most frequently appearing keywords in the VOSviewer and RStudio search are “mathematics education," “teaching," and “mathematics." However, a relationship exists between didactic design and elementary education, secondary school, and higher education. The correlation on these labels is small, presenting opportunities for research on didactic design. From the visualization using VOSviewer and RStudio, research related to didactic design in algebra, calculus, and geometry has not been done much, and it is very urgent to do so because the potential research on didactic design in these areas is up-and- coming