JURNAL PENDIDIKAN MATEMATIKA DAN IPA
Vol.
No.
http://jurnal.
id/index.
php/PMP DEVELOPMENT OF AN ONLINE LEARNING MODULE FOR SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES
(SPLDV) ASSISTED BY THE DESMOS WEB PLATFORM
Dian Alhira Salsabila Department of mathematics education.
Faculty of faculty of mathematics, natural sciences and earth sciences.
Manado State University.
Jl.
Kampus Unima di Tondano, kode pos 95618 Email Corresponding: diansalsabila075@gmail.
DOI: https://doi.
org/10.
26418/jpmipa.
Abstract This is a research and development (R&D) that produce a learning module, on the topic of SPLDV in class Vi at SMP Negeri 1 Remboken.
The module was developed by using the ADDIE method.
We obtain that the learning module satisfies the criteria of validity, effectiveness and practicality.
The results of the learning module validity from the experts of the topics is 4.
56 and from media experts This satisfy the very valid category.
By using the modul we obtained the average student learning outcomes test is 80.
45 with a percentage of completeness of 90.
91%, which is a very effective TeacherAos assessment of the module is 4.
27 which is a very practical category, and the students respons is very positive By this, we conclude that by using the learning module on the SPLDV topic for class Vi students at SMP Negeri 1 Remboken, students readiness and understanding in the learning process can develop well.
Keywords: ADDIE.
Desmos Web.
Learning Module.
R&D INTRODUCTION Mathematics is a logical discipline that encompasses Auform, structure, magnitude, and concepts related to one another,Ay which are generally divided into three principal fields: algebra, analysis, and geometry .
Mathematics plays a crucial role in knowledge and the development of human resources .
As a compulsory subject across all levels of education, mathematics should enhance studentsAo cognitive abilities and equip them with logical reasoning and problem-solving skills .
Based on the results of international assessments such as PISA and TIMSS, as well as the National Examination (UN) results from 2006 to 2024, the average scores remain significantly below the OECD average score of 500 .
The results of interviews with mathematics teachers at SMP Negeri 1
Received Revised Accepted : 2024-11-14
: 2026-01-29
: 2026-03-03
This work is licensed under a Creative Commons Attribution 4.
0 International License Jurnal Pendidikan Matematika dan IPA Vol.
No.
Remboken revealed a decline in studentsAo academic achievement, particularly in the topic of Systems of Linear Equations in Two Variables (SPLDV).
Out of 100 students, only 35% achieved the Minimum Mastery Criteria (KKM = .
, while 65% had not yet understood the fundamental concepts of linear equations in two To date, the dominant instructional approach has been conventional, where the teacher serves as the primary source of information, while students mainly listen, take notes, and memorize concepts.
In fact, supporting facilities such as LCD projectors and a computer laboratory.
The COVID-19 pandemic forced the learning process to shift to an online format, thereby presenting new challenges for both teachers and students in delivering mathematics material that is engaging and easily understood in a virtual environment .
As a response, self-directed learning modules have become one potential solution.
To achieve teachers are required to prepare appropriate instructional materials and learning tools .
A module is not merely a supporting learning aid, but also an important instrument for developing learning that is more open and adaptable to change .
However, printed modules alone are insufficient without interactive supporting media .
Desmos Graphing Calculator has emerged as an alternative web-based learning medium.
This application enables the instant generation of equation graphs, featuring 2D plotting, animated sliders, and a student-friendly interface .
Teachers can create virtual classrooms in Desmos, assign tasks, and monitor studentsAo progress.
Students can also save and share their graphs at any time without additional cost, requiring only an internet Referring to the problems described above, this study was conducted to develop a learning module assisted by the Desmos Web that is valid, effective, and practical.
METHOD
This study is a Development and Research study conducted at SMP Negeri 1 Remboken in the mathematics subject on the topic of Systems of Linear Equations in Two Variables (SPLDV) for Grade Vi in the first semester of the 2022/2023 academic The development employed in this study is ADDIE (Analysis.
Design.
Development.
Implementation.
Evaluatio.
The instruments used in this study consisted of observation sheets.
The media evaluation questionnaire was designed using four alternative response options, while the employed five alternative response The development of the learning media is considered successful if it meets the criteria of validity, practicality, and effectiveness.
The validity criterion is determined based on the results of the media evaluation questionnaire administered to media experts, subject-matter experts, and mathematics teachers.
The practicality criterion is assessed through the results of the pilot test media evaluation questionnaire and the corresponding Dian Alhira Salsabila Development of An Online Learning Module for Systems of Linear Equations in Two Variables (SPLDV) Assisted by The Desmos Web Platform Jurnal Pendidikan Matematika dan IPA Vol.
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The effectiveness criterion is determined based on studentsAo learning outcomes and the student response questionnaire.
The data obtained from the completed by teachers, subject-matter experts, and media experts were Ay Table 1.
Assessment Scores Category Excellent (E) Good (G) Fair (F) Poor (P) RESULTS AND DISCUSSION This study was conducted at SMP Negeri 1 Remboken during the second week of October 2022.
Prior to the implementation of the study, the researcher conducted observations to examine the situation and conditions at the school, followed by consultations with the supervisor.
The research instruments, consisting of the learning module and test items, were validated by a mathematics lecturer from Universitas Negeri Manado and a mathematics teacher from SMP Negeri 1 Remboken before use.
The results of this validation are as follows.
Analysis The analysis stage is the first phase in development research, and the results of this analysis serve as a reference for the development of the learning media product.
In this stage, the researcher contacted SMP Negeri 1 Remboken student needs analysis, and learning Ay subsequently analyzed.
The data from the student questionnaires and the media evaluations by teachers, subjectmatter experts, and media experts were initially in letter form and were then converted into numerical values according to the following criteria:
Score Design The next stage is design.
In this stage, the researcher began designing the learning module to be developed.
Ay Compilation of the Learning Module Framework The framework of the developed module is based on the Grade Vi mathematics syllabus.
The module consists of three main sections: the beginning, the content, and the ending.
The beginning section includes the Pancasila profile, facilities and infrastructure, target learners, and learning model.
The content section comprises learning objectives, meaningful understanding, guiding questions, learning activities, assessment, and enrichment.
The ending section contains student worksheets (LKPD), reading materials for teachers and students, a glossary, and a reference list.
Design and Feature Development of the Learning Module In this section, the design and features of the learning module encompass the beginning, content, and Dian Alhira Salsabila Development of An Online Learning Module for Systems of Linear Equations in Two Variables (SPLDV) Assisted by The Desmos Web Platform Jurnal Pendidikan Matematika dan IPA Vol.
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ending sections.
The learning module design is as follows:
Beginning Section In the beginning section, the design of the SPLDV learning module cover includes the front cover displaying the title of the instructional Mathematics Learning Module on the topic of SPLDV using the Desmos Web, along with the researcherAos name as the module developer.
Content Section Next, the content section of the module, which includes the key aspects of the module, is presented in the Dian Alhira Salsabila Development of An Online Learning Module for Systems of Linear Equations in Two Variables (SPLDV) Assisted by The Desmos Web Platform Jurnal Pendidikan Matematika dan IPA Vol.
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Figure 1.
Learning Objectives.
Understanding.
Guiding Questions, and Learning Activities .
Ending Section The ending section of the module can also be considered as the supplementary part of the module.
Classroom evaluations are presented in the figure, in the form of student worksheets (LKPD).
Development The next stage involves carrying out the development steps, which are as Learning Module Production At this stage, the product designed in the previous phase is further developed with the aim of Dian Alhira Salsabila Development of An Online Learning Module for Systems of Linear Equations in Two Variables (SPLDV) Assisted by The Desmos Web Platform Jurnal Pendidikan Matematika dan IPA Vol.
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producing the final product, which has been revised based on suggestions and feedback from experts.
Product Feasibility Validation After the module is completed, it is analyzed and then subjected to product feasibility validation.
The conducted by validators, consisting of subject-matter experts and media .
Subject-Matter Expert Validation The subject-matter experts involved in the learning module validation consisted of two individuals:
Universitas Negeri Manado and a mathematics teacher from SMP Negeri 1 Remboken.
The results of the module verification by these two validators are summarized in Table 2.
Table 2.
Module Validation Results by Subject-Matter Experts Validator Evaluation Assessment Aspect Learning Aspect Alignment of the Material with Initial Competencies and Learning Objectives Clarity of Learning Indicators/Objectives Sequence of Presentation Language Aspect Clarity of the Language Used Appropriateness of the Language to the Material Clarity of the Methods Provided Alignment of the Assessment Items with the Material Presented Alignment of the Assessment Items with the Competencies Balance Between Assessment Items and the Material Quality of the Assessment Items Provided Appropriate Use of Spacing Aspect Average Overall Average 4,62 Overall Average = 4.
Table 2 above presents the results of the product validity study, specifically the mathematics learning module on SPLDV using the Desmos Web, as assessed by subject-matter The overall score obtained from the subject-matter expert evaluation was 4.
56, indicating that the product is categorized as highly valid.
Media Expert Validation The media experts involved in the learning module validation consisted of two individuals, both of Dian Alhira Salsabila Development of An Online Learning Module for Systems of Linear Equations in Two Variables (SPLDV) Assisted by The Desmos Web Platform Jurnal Pendidikan Matematika dan IPA Vol.
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whom are mathematics lecturers at Universitas Negeri Manado.
Table 3 below presents the results of the product validity assessment evaluated by the media experts.
Table 3.
Module Validation Results by Media Experts Validator Evaluation Assessment Aspect Learning Aspect Appropriateness of the Language to the StudentsAo Cognitive Development Level Sentences Used Are Clear and Do Not Cause Multiple Interpretations Consistency in the Use of Terms within the Module Language Aspect Appropriateness of the Paper Used Attractiveness of the Design on Each Page Harmony of the Background Colors Readability of the Fonts Used Neatness of the Text Layout Used Alignment Between Text and Images Appropriate Use of Spacing Aspect Average Overall Average 4,62 Overall Average = 4.
Implementation The next stage involves implementing the product, which has been categorized as highly valid and feasible, for classroom trial.
A limited trial was conducted at SMP Negeri 1 Remboken, involving one Grade Vi mathematics teacher and 22 students, to assess the responses of both the teacher and students, as well as the attractiveness of the learning module.
The following are the learning test results of the 22 students, along with the teacherAos and studentsAo responses to the trial of the product developed by the researcher.
Table 5.
Student Test Results Student Test Score Minimum Mastery Criteria Completed Completed Not Completed Completed Completed Dian Alhira Salsabila Development of An Online Learning Module for Systems of Linear Equations in Two Variables (SPLDV) Assisted by The Desmos Web Platform Jurnal Pendidikan Matematika dan IPA Vol.
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Tidak tuntas Completed Completed Completed Completed Completed Not Completed Completed Completed Completed Completed Completed Completed Completed Completed Completed Completed Average COMPLETED Table 6.
Teacher Response Results Criteria Cover Page Design of the SPLDV Learning Module The selection of font type, size, and spacing is appropriate, facilitating studentsAo ease of reading the SPLDV learning module.
The flat-faced solid geometry module facilitates learning in the SPLDV mathematics course.
The SPLDV learning module uses simple and easily understandable sentences for students.
The Sequence of Content in the SPLDV Learning Module The material presented in the flat-faced solid geometry module helps students achieve the learning objectives in accordance with the basic competencies.
The presentation of the material in the module does not create ambiguous or multiple interpretations for students.
The use of the module can encourage students to participate more actively in learning activities.
The SPLDV learning module encourages students to engage in discussions with their peers.
The SPLDV learning module assists students in discovering the concepts of the material.
The sequence of material presentation in the module aligns with the intended learning indicators.
Overall Average Score
4,27
Dian Alhira Salsabila Development of An Online Learning Module for Systems of Linear Equations in Two Variables (SPLDV) Assisted by The Desmos Web Platform Jurnal Pendidikan Matematika dan IPA Vol.
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Table 7.
Student Response Results Criteria Response Scale Alternatives I feel happy participating Using this learning module makes classroom learning more enjoyable I do not feel bored studying with the module For me, the module is very I completed the SPLDV learning using the module.
I am able to understand the SPLDV material through the use of the module.
I try to be more active in learning mathematics on the SPLDV topic.
After studying with the module.
I feel more motivated and enjoy learning mathematics.
Average Percentage of Positive Responses Based on the teacherAos and studentsAo responses during the product trial, which involved one teacher and 22 students, it was found that the learning module is practical and effective for use.
The teacherAos response yielded an average score of 27, categorized as practical.
Student responses from the questionnaire indicated a very positive perception of the module, with an average demonstrating that the product developed by the researcher meets the Additionally, comments highlighted that the learning module is engaging, easy to understand, and not Positive Response Percentage Description Very Positive Very Positive Very Positive Very Positive Very Positive Very Positive Very Positive Very Positive Very Positive Evaluation Based on the implementation stage, the learning module must undergo evaluation.
During the evaluation phase, final revisions were made to the developed product.
The researcher then determined that the learning module is highly feasible for use, based on the results of the product
RESULTS
This study produced a product, namely a mathematics learning module on the topic of SPLDV using the Desmos Web, which was tested for validity, practicality, and effectiveness.
The module contains material on systems of linear equations in two variables using Dian Alhira Salsabila Development of An Online Learning Module for Systems of Linear Equations in Two Variables (SPLDV) Assisted by The Desmos Web Platform Jurnal Pendidikan Matematika dan IPA Vol.
No.
substitution, elimination, combined, and graphical methods.
The module development process followed the ADDIE model.
Based on the conducted study, the mathematics learning module on SPLDV using the Desmos Web was proven to meet the following criteria:
highly valid according to subjectmatter expert evaluation, highly valid according to media expert evaluation, practical based on the analysis of supported by student response data, which were rated very positively, and effective, as evidenced by the increase studentsAo Therefore, it can be concluded that the product developed by the researcherAithe mathematics learning module on SPLDV using the Desmos WebAiis valid, practical, and effective for use in the learning .
CONCLUSION The module on SPLDV using the Desmos Web was developed by applying the ADDIE model.
The feasibility scores, following validation by two media experts and subject-matter experts, 48 and 4.
56, respectively, indicating that the mathematics learning module on SPLDV using the Desmos Web is highly suitable for REFERENCES