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This study aims to develop a junior high school mathematics e-module based on local culture at the Van der Wijck Fortress complex to enhance students’ mathematical reasoning skills and learning interest. Specifically, the objectives are: (1) to describe the characteristics of the local culture-based e-module that can improve reasoning ability and learning motivation, and (2) to produce a high-quality e-module that meets the criteria of validity, practicality, and effectiveness. The research employed the ADDIE development model (Analysis, Design, Development, Implementation, and Evaluation). The participants consisted of one teacher, 31 students in the experimental class, and 32 students in the control class at a public junior high school in Kebumen Regency. The instruments used included validation sheets for media and material, competency tests, mathematical reasoning tests, learning interest questionnaires, and practicality assessment forms for teachers and students. The results showed that the e-module possesses characteristics of being self-instructional, self-contained, stand-alone, adaptive, and user-friendly. Product validity was confirmed through expert validation with average scores of 4.26 for media and 4.35 for material (very valid). The validation of instruments obtained average scores ranging from 4.5 to 4.92, categorized as very valid. Practicality was demonstrated through teacher assessments of 92%, student assessments of 85%, and learning implementation of 94% (all very practical). Effectiveness testing using the Multivariate Hotelling’s T² test indicated significant differences between experimental and control classes in competency test scores, mathematical reasoning, and learning interest. Therefore, the local culture-based mathematics e-module is proven valid, practical, and effective in enhancing students’ mathematical reasoning and learning motivation.

This study aims to compare the effectiveness of the Deep Learning and Differentiated Instruction models in improving junior high school students’ mathematical problem-solving and reasoning abilities. The background of this research stems from the low level of mathematical literacy among Indonesian students, which demands innovative and reflective learning approaches. A quasi-experimental method was used with a Nonequivalent Control Group Design. The sample consisted of two eighth-grade classes at SMP Negeri Satu Atap 01 Ciseeng, each receiving different instructional treatments: one class was taught using the Deep Learning approach, and the other using the Differentiated Instruction approach. The instruments employed included mathematical problem-solving tests, observation sheets, and student perception questionnaires. The data analysis results indicated that the class taught with the Deep Learning model experienced a more significant improvement in mathematical reasoning ability compared to the class using Differentiated Instruction. These findings suggest that Deep Learning-based instruction is more effective in promoting students’ higher-order thinking skills. It encourages deeper engagement with mathematical concepts, fosters critical and analytical thinking, and allows students to construct knowledge through meaningful learning experiences. However, Differentiated Instruction remains relevant in providing learning comfort and addressing diverse student needs, making it beneficial in inclusive classroom settings. The theoretical and practical implications of this research highlight the importance of integrating both depth of thinking (Deep Learning) and flexibility in learning (Differentiation) within mathematics instruction. Such integration could offer a balanced learning environment that supports both cognitive development and emotional engagement, leading to more effective and equitable mathematics education. In conclusion, this study recommends educators and curriculum developers to consider incorporating Deep Learning strategies to enhance students’ mathematical reasoning while maintaining the adaptive and student-centered principles of Differentiated Instruction. Future research could explore hybrid learning models that combine the strengths of both approaches to maximize student outcomes in mathematics learning.

This study investigates the impact of contextual problem-solving on students' mathematical reasoning abilities, comparing it to traditional problem-solving exercises. The study employs a quasi-experimental design with two groups: an experimental group exposed to contextual problem-solving activities and a control group using conventional methods. The experimental group demonstrated a 24% improvement in their mathematical reasoning abilities compared to the control group. Contextual problem-solving, which integrates real-world problems into the learning process, was found to be more engaging and effective in promoting deeper understanding and application of mathematical concepts. The study highlights the benefits of contextual learning in making abstract mathematical concepts more tangible and relatable to students. The findings suggest that by connecting mathematical knowledge to real-world scenarios, students develop stronger reasoning skills and improve their problem-solving capabilities. Moreover, the study recommends incorporating more contextual problem-solving exercises into curricula and providing teachers with training on how to implement these strategies effectively. It also suggests that future research explore the long-term effects of contextual problem-solving on other learning areas, such as critical thinking and creative problem-solving. This approach not only enhances students' mathematical reasoning but also fosters a more engaging and meaningful learning environment, thus preparing students to apply their mathematical knowledge in real-life situations.

This research was aimed at analyzing the enhancement of students' mathematical reasoning abilities through problem-based learning. The experimental design was pre-post control group design. The research population was all junior high school student of SMP Al-Muhajirin Purwakarta. The research sample was taken randomly, was the class VIII C students as the experimental group who participated in instruction with problem-based learning and the other class VIII D as control group who participated in instruction with conventional learning. Data was collected through test and questionnaires. The statistical analysis used is the Gain test for the results of students' mathematical reasoning ability tests. The analysis of gain score showed that the enhancement of students’ abilities who participated in instruction with problem-based learning was better than those who participated in instruction with conventional learning. Problem-based learning in mathematics lessons shows a positive response which shows that students like the method used.

This study aims to obtain teaching materials based on a valid, practical, and effective realistic mathematical approach, so as to improve students' mathematical reasoning abilities on the material of a three-variable linear equation system. The research instruments used were questionnaire validation sheets, lesson plans validation sheets, teaching material validation sheets, test instrument validation sheets, mathematical reasoning ability tests, and teacher and student response questionnaires to teaching materials. After all instruments, lesson plans, and teaching materials were declared valid by the validator, then readability tests and field trials were carried out. The results showed that: (1) the teaching materials based on the realistic mathematical approach developed had met the criteria of validity based on the validator's assessment with the average validity of the teaching materials for the material being 3.13 and 3.29 for media with a very feasible category; (2) the teaching materials based on the realistic mathematical approach that have been developed have met the practicality criteria through: a) the results of the questionnaire student responses to teaching materials show the percentage of practicality of 81.19% with a very practical category, b) the results of the questionnaire responses of teachers to teaching materials show the percentage of practicality 88.75% with very practical category; (3) The teaching materials based on the realistic mathematics approach developed meet the effective criteria with: a) classical student learning mastery of 88%, b) more than 65% of students have achieved 75% of learning objectives for each indicator, c) increased mathematical reasoning ability students after using teaching materials seen through the average score of students increased from 50 in the pretest to 85.33 in the posttest and the results of the N-Gain analysis which showed students' mathematical problem solving abilities increased by 0.712, meaning in the high category.