<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "https://jats.nlm.nih.gov/publishing/1.3/JATS-journalpublishing1-3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="1.3" article-type="research-article" xml:lang="en"><front><journal-meta><journal-id journal-id-type="issn">2656-2804</journal-id><journal-title-group><journal-title>Indonesian Journal on Learning and Advanced Education (IJOLAE)</journal-title><abbrev-journal-title>ijolae</abbrev-journal-title></journal-title-group><issn pub-type="epub">2656-2804</issn><issn pub-type="ppub">2655-920X</issn><publisher><publisher-name>Universitas Muhammadiyah Surakarta</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.23917/ijolae.v7i2.8669</article-id><article-categories/><title-group><article-title>Critical Thinking Improvement through Numeracy Literacy: Insights from Senior High School Practices</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Jannati</surname><given-names>Arum Afdhalishani</given-names></name><address><country>Indonesia</country><email>a418220006@student.ums.ac.id</email></address><xref ref-type="aff" rid="AFF-1"/><xref ref-type="corresp" rid="cor-0"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9006-8388</contrib-id><name><surname>Sutama</surname><given-names>Sutama</given-names></name><address><country>Indonesia</country></address><xref ref-type="aff" rid="AFF-1"/></contrib><contrib contrib-type="author"><name><surname>Setyaningsih</surname><given-names>Nining</given-names></name><address><country>Indonesia</country></address><xref ref-type="aff" rid="AFF-1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2715-5929</contrib-id><name><surname>Adnan</surname><given-names>Mazlini</given-names></name><address><country>Malaysia</country></address><xref ref-type="aff" rid="AFF-2"/></contrib></contrib-group><contrib-group><contrib contrib-type="editor"><name><surname>Adhantoro</surname><given-names>Muhammad Syahriandi</given-names></name><address><country>Indonesia</country></address><xref rid="EDITOR-AFF-1" ref-type="aff"/></contrib></contrib-group><aff id="AFF-1">Faculty of Teacher Training and Education, Universitas Muhammadiyah Surakarta</aff><aff id="AFF-2">Faculty of Science and Mathematics, University Pendidikan Sultan Idris</aff><aff id="EDITOR-AFF-1">Universitas Muhammadiyah Surakarta</aff><author-notes><corresp id="cor-0"><bold>Corresponding author: Arum Afdhalishani Jannati</bold>, Faculty of Teacher Training and Education, Universitas Muhammadiyah Surakarta .Email:<email>a418220006@student.ums.ac.id</email></corresp></author-notes><pub-date date-type="pub" iso-8601-date="2025-5-12" publication-format="electronic"><day>12</day><month>5</month><year>2025</year></pub-date><pub-date date-type="collection" iso-8601-date="2025-3-8" publication-format="electronic"><day>8</day><month>3</month><year>2025</year></pub-date><volume>7</volume><issue>2</issue><fpage>328</fpage><lpage>340</lpage><history><date date-type="received" iso-8601-date="2025-2-13"><day>13</day><month>2</month><year>2025</year></date><date date-type="rev-recd" iso-8601-date="2025-4-15"><day>15</day><month>4</month><year>2025</year></date><date date-type="accepted" iso-8601-date="2025-4-18"><day>18</day><month>4</month><year>2025</year></date></history><permissions><copyright-statement>Copyright (c) 2025 Arum Afdhalishani Jannati, Sutama Sutama, Nining Setyaningsih, Mazlini Adnan</copyright-statement><copyright-year>2025</copyright-year><copyright-holder>Arum Afdhalishani Jannati, Sutama Sutama, Nining Setyaningsih, Mazlini Adnan</copyright-holder><license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/"><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by/4.0/</ali:license_ref><license-p>This work is licensed under a Creative Commons Attribution 4.0 International License.</license-p></license></permissions><self-uri xlink:href="https://journals2.ums.ac.id/ijolae/article/view/8669" xlink:title="Critical Thinking Improvement through Numeracy Literacy: Insights from Senior High School Practices">Critical Thinking Improvement through Numeracy Literacy: Insights from Senior High School Practices</self-uri><abstract><p>Numeracy literacy skills are the main focus in the Indonesian education system to prepare students for the 21st century. However, in practice, efforts to acculturate numeracy literacy in schools are still not implemented optimally. Therefore, this study has two main objectives, namely: 1) to describe the acculturation of numeracy literacy of senior high school students; 2) to explore the critical thinking disposition of senior high school students. This research is part of a developmental research that focuses on a qualitative approach with an ethnographic design. The subjects in this study were students, subject teachers, and one of the senior high schools in Surakarta. The research data were collected through interviews conducted with teachers, direct observation during classroom learning activities, and documentation related to mathematics assessments used in schools. Data validation was conducted using source triangulation technique to ensure data credibility.</p></abstract><kwd-group><kwd>advanced level education</kwd><kwd>critical thinking</kwd><kwd>critical thinking disposition</kwd><kwd>education system</kwd><kwd>innovative learning</kwd><kwd>learning outcomes</kwd><kwd>numeracy literacy</kwd><kwd>PISA</kwd></kwd-group><custom-meta-group><custom-meta><meta-name>File created by JATS Editor</meta-name><meta-value><ext-link ext-link-type="uri" xlink:href="https://jatseditor.com" xlink:title="JATS Editor">JATS Editor</ext-link></meta-value></custom-meta><custom-meta><meta-name>issue-created-year</meta-name><meta-value>2025</meta-value></custom-meta></custom-meta-group></article-meta></front><body><sec><title>1. Introduction</title><p>Along with the development of the world today, education as the main guard has an im-portant role to prepare students to face global demands in the 21st century. The skills of cre-ative thinking, critical thinking, communicat-ion, and collaboration in work are the basic skills needed by a person to be able to adapt in the 21st century <xref ref-type="bibr" rid="BIBR-19">(Handayani &amp; Sutama, 2024)</xref><xref ref-type="bibr" rid="BIBR-38">(Rusiana et al., 2024)</xref><xref ref-type="bibr" rid="BIBR-35">(Octaviana &amp; Setyaningsih, 2022)</xref> . These basic skills need to be developed in classroom learning through the application of effective strategies. It aims to enable students to interpret the text they read and connect it with contextual problems and other relevant texts <xref ref-type="bibr" rid="BIBR-10">(Azizah, 2022)</xref> . One strategy that is currently being intensively carried out is the development of numeracy li-teracy skills.</p><p>Literacy and numeracy have fundamental differences in definition. According to <xref ref-type="bibr" rid="BIBR-11">(Daley, 1997)</xref> literacy is a person's ability to read and write, understand information, and the ability to convey ideas concretely and abstractly. Meanwhile, numeracy according to Han ve diğerleri (2017) is the ability to use various numbers and basic mathematical symbols to solve practical problems in various contexts of daily life, as well as analyse information presented in various forms such as graphs, ta- bles and charts. Based on these two definit- ions, it can be concluded that numeracy literacy is a person's ability to understand, analyse and present information obtained in the form of numbers and mathematical sym- bols based on problems that occur in everyday life.</p><p>The importance of numeracy literacy skills is a major focus in the education system in Indonesia. This is reflected in the Minimum Competency Assessment policy in 2021 where literacy and numeracy are the main components <xref ref-type="bibr" rid="BIBR-10">(Azizah, 2022)</xref> . The Minimum Competency Assessment is an aspect that measures students' cognitive abilities which include students' reading literacy and mathe-matical literacy (Ministry of Education and Culture, 2021) . However, this policy has not resulted in significant improvements in the le-vel of students' numeracy literacy skills in the PISA event.</p><p>The results of the PISA test show that students' numeracy skills in Indonesia remain a serious challenge within the education system. In 2018, Indonesia's average score only reached 378, placing it in 73rd position out of 79 PISA member countries <xref ref-type="bibr" rid="BIBR-34">(O.E.C.D., 2019)</xref>. This situation worsened in 2022, where Indonesia's average score dropped by 13 points to 366, with a slightly improved ranking at 69th out of 81 countries <xref ref-type="bibr" rid="BIBR-3">(Ahn, 2024)</xref>. This decline reflects the still low ability of students to understand, analyze, and apply mathematical concepts in everyday life. The low level of numeracy can lead to difficulties in logical thinking, solving data-based problems, and developing the skills needed in the digital and industrial era. Therefore, more innovative learning strategies are needed, such as the implementation of digital modules based on problem-based learning (PBL) and formative assessments, to enhance students' critical thinking skills and conceptual understanding in numeracy <xref ref-type="bibr" rid="BIBR-41">(Silwana et al., 2021)</xref><xref ref-type="bibr" rid="BIBR-1">(Adhantoro et al., 2025)</xref>. The declining results reflect that there are still shortcomings in the development of numeracy literacy in learning.</p><p>Some previous studies still show a lack of numeracy literacy inculcation in schools, especially to support the Minimum Competency Assessment (MCA) programme. This is an important issue that needs to be considered to improve the quality of education in Indonesia</p><p>Based on the analysis conducted, the factors causing low numeracy literacy can come from students, teachers and schools. The factor of low numeracy literacy from stu- dents is caused by their habit of memorising and using problem solving procedures as taught by the teacher <xref ref-type="bibr" rid="BIBR-21">(Jailani et al., 2020)</xref>; <xref ref-type="bibr" rid="BIBR-25">(Kolar &amp; Hodnik, 2021)</xref>low habit of students in doing mathematical literacy problems <xref ref-type="bibr" rid="BIBR-6">(Aqillah et al., 2023)</xref>, low critical thinking ability of students <xref ref-type="bibr" rid="BIBR-26">(Kusuma et al., 2022)</xref>, and negative disposition of students towards mat- hematics <xref ref-type="bibr" rid="BIBR-37">(Rahmawati et al., 2021)</xref>. Meanwhile, from the teacher's side, it is caused by giving questions that tend to use closed questions <xref ref-type="bibr" rid="BIBR-13">(Domu et al., 2023)</xref>and ori- ented to basic skills <xref ref-type="bibr" rid="BIBR-31">(Nasir et al., 2024)</xref>. In fact, practice questions to face the Minimum Competency Assessment given by teachers still use textbooks from various publishers that are not in accordance with the charac- teristics of students <xref ref-type="bibr" rid="BIBR-22">(Jannati &amp; Sumardi, 2023)</xref>. This is due to the difficulties experi- enced by teachers to develop mathematical li- teracy questions that are in accordance with student characteristics <xref ref-type="bibr" rid="BIBR-5">(Apriatni et al., 2022)</xref>; <xref ref-type="bibr" rid="BIBR-22">(Jannati &amp; Sumardi, 2023)</xref>; <xref ref-type="bibr" rid="BIBR-30">(Mukhlis et al., 2023)</xref>. The difficulties faced by the teacher are due to the lack of experience or special training in preparing numeracy literacy quest- ions during the education period <xref ref-type="bibr" rid="BIBR-48">(Ulger et al., 2022)</xref> . The school as a place of learning is also an obstacle in acculturating numeracy li- teracy, where there are still limitations in providing adequate training for teachers to design higher order thinking assessments <xref ref-type="bibr" rid="BIBR-30">(Mukhlis et al., 2023)</xref>. This is because in pre- paring numeracy literacy questions, special preparation is needed for teachers to focus on preparing and modelling the context of eve- ryday life in mathematics problems into nu- meracy literacy questions <xref ref-type="bibr" rid="BIBR-43">(Steen et al., 2007)</xref>. </p><p>Critical thinking skills are an important part of numeracy literacy and are interrelated <xref ref-type="bibr" rid="BIBR-26">(Kusuma et al., 2022)</xref>. Critical thinking skills are not an innate talent, but rather an ability that can be learnt and developed through con- tinuous practice <xref ref-type="bibr" rid="BIBR-8">(Arisoy &amp; Aybek, 2021)</xref>. The presentation of higher order thinking pro- blems can help develop critical thinking skills <xref ref-type="bibr" rid="BIBR-49">(Winarti et al., 2024)</xref>; <xref ref-type="bibr" rid="BIBR-35">(Octaviana &amp; Setyaningsih, 2022)</xref> and students' mathema- tical literacy skills <xref ref-type="bibr" rid="BIBR-40">(Setyaningsih &amp; Mukodimah, 2022)</xref>. In Indonesia, higher or- der thinking skills (HOTS) are always associ- ated with Bloom's taxonomy, where HOTS are associated with cognitive skills in the levels of analysing, evaluating and creating<xref ref-type="bibr" rid="BIBR-9">(Asrafil et al., 2020)</xref> .</p><p>Critical thinking itself consists of two in-terrelated dimensions, namely skills and dis-positions. Mathematical disposition is the way a person views mathematics as something that can be understood and useful with diligent and tenacious effort <xref ref-type="bibr" rid="BIBR-20">(Hutajulu et al., 2019)</xref>. Dispositional ability can support someone to use their critical thinking skills <xref ref-type="bibr" rid="BIBR-16">(Evans, 2020)</xref>. Thus, often dispositions that are associated with critical thinking are called critical thinking dispositions. The definition of critical thinking disposition itself is a person's tendency or attitude to think critically consistently <xref ref-type="bibr" rid="BIBR-15">(Ennis, 1996)</xref>. The two abilities support each other, where students who have a high critical thinking disposition will have high thinking skills as well <xref ref-type="bibr" rid="BIBR-45">(Sulistiowati, 2024)</xref>.</p><p>Based on the background that has been presented, this research has two main objectives, namely: 1) describing the acculturation of numeracy literacy of senior high school students 2) exploring the critical thinking disposition of senior high school students.</p></sec><sec><title>2. Method</title><p>This research is part of development research focused on a qualitative approach with ethnographic design. Qualitative research with ethnographic design is research conducted with objects that develop as they are in a community group to study their cultural practices <xref ref-type="bibr" rid="BIBR-46">(Sutama et al., 2022)</xref><xref ref-type="bibr" rid="BIBR-44">(Sugiyono, 2010)</xref>. The subjects in this study were students of class XI-4, subject teachers, and SMA Muhammadiyah PK Kottabarat Surakarta. This activity was carried out in the odd semester of the 2024/2025 academic year. The selection of 15 research participants selected by convenience sampling technique in class XI-4 was carried out based on the availability of access obtained by the researcher <xref ref-type="bibr" rid="BIBR-17">(Golzar et al., 2022)</xref> .</p><p>Research data were collected through interviews conducted with teachers, direct observation during classroom learning activities, and documentation related to mathematics assessments used in schools. The components of critical thinking disposition used in this study are: Inquisitiveness, Systematicity, Analyticity, Truth-seeking, Open-mindedness, Self- Confidence, Maturity. Data interpretation based on research conducted by <xref ref-type="bibr" rid="BIBR-36">(Rahardhian et al., 2022)</xref> is in the following table.</p><table-wrap id="table-1" ignoredToc=""><label>Table 1</label><caption> Critical Thinking Disposition Interpretation</caption><table frame="box" rules="all"><thead><tr><th colspan="1" rowspan="1" style="" align="left" valign="top"><p>Score</p></th><th colspan="1" rowspan="1" style="" align="left" valign="top"><p>Interpretation</p></th></tr></thead><tbody><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>1 - 1.79</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Very Low</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>1.80 - 2.59</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Low</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.60 - 3.39</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Medium</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.40 - 4.19</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>High</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>4.20 - 5</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Very High</p></td></tr></tbody></table></table-wrap><p>The numeracy literacy indicator that will be achieved in the given numeracy literacy problem, namely (1) learners are able to identify the information given in the problem and relate it to the concept of trigonometric comparison (Mathematical Thinking and Reasoning); (2) learners are able to make a mathematical model of the situation presented in the problem (Modelling); ( 3) learners are able to answer with a logical and structured arrangement of problem solving steps (Mathematical Communication); and (4) learners are able to represent the situation in the problem (Representation)</p><p>Data validation was carried out using source triangulation techniques to ensure data credibility. This is done by checking the data that has been obtained through several sources.</p></sec><sec><title>3. Result and Discussion</title><sec><title>a. Acculturating Numeracy Literacy in Schools</title><p>This research was started by conducting interviews with teachers and observing the assessments used in learning mathematics. The material chosen in this study is trigonometric comparison material. The material is taught in grade X in Senior High School. Understanding the basic concepts of trigonometric comparison regarding the relationship between sides and angles in a right triangle angle is needed to be able to help students understand trigonometric material at an advanced level education.</p><p>Interview activities related to the research were conducted briefly with the mathematics teacher at the school. The teacher revealed that grade X students in the odd semester had not received trigonometric comparison material. The curriculum change that occurred, causing trigonometry material previously given in the odd semester is now given in the even semester of the 2024/2025</p><p>school year. However, based on the advice given by the teacher, the research can be conducted in class XI. One of the classes recommended by the teacher based on students' high enthusiasm in learning is class XI-4. When the researcher asked for documentation of assessments used for observation purposes, the teacher only provided data on summative assessment questions for mathematics class X in the 2023/2024 academic year.</p><fig id="figure-1" ignoredToc=""><label>Figure 1</label><caption><p>Midterm Summative Assessment</p></caption><graphic xlink:href="https://journals2.ums.ac.id/ijolae/article/download/8669/4431/52028" mimetype="image" mime-subtype="png"><alt-text>Image</alt-text></graphic></fig><p><xref ref-type="fig" rid="figure-1">Figure 1</xref> shows the trigonometric comparison questions used by teachers in the midterm summative assessment. In the figure, there are only three out of 20 questions in multiple choice format on the trigonometric comparison material presented. Based on observations of the summative assessment given, the assessment only focuses on measuring students' basic conceptual abilities. The cognitive level presented in the question is only at the level of basic knowledge (C1) and understanding (C2). To answer the question, students only need to remember and understand the formula for trigonometric comparison in right triangles to find the answer. Cognitive development is a crucial aspect that needs nurturing <xref ref-type="bibr" rid="BIBR-32">(Nasution et al., 2024)</xref>; <xref ref-type="bibr" rid="BIBR-49">(Winarti et al., 2024)</xref> .</p><fig id="figure-2" ignoredToc=""><label>Figure 2</label><caption><p>End of Year Summative Assessment</p></caption><graphic xlink:href="https://journals2.ums.ac.id/ijolae/article/download/8669/4431/52029" mimetype="image" mime-subtype="png"><alt-text>Image</alt-text></graphic></fig><p>The same thing is also shown in <xref ref-type="fig" rid="figure-2">Figure 2</xref>. There are 20 multiple choice questions presented. However, two of them have not linked the basic concepts of trigonometric comparison to everyday life. The questions used in the summative assessment do not contain numeracy literacy elements. From the assessment questions presented, it can be seen that the numeracy literacy acculturation efforts made by teachers to improve students' numeracy literacy skills in learning are still not visible. This can result in students' critical thinking skills experiencing difficulties. Learning at theseschools faces challenges in improving learning outcomes and students' critical thinking skills <xref ref-type="bibr" rid="BIBR-4">(Ajid et al., 2025)</xref>. Crit- ical thinking skills are essential for students to develop their ability to explore problems, questions, or situations, find a solution, and justify their positions <xref ref-type="bibr" rid="BIBR-38">(Rusiana et al., 2024)</xref>; <xref ref-type="bibr" rid="BIBR-2">(Adhantoro et al., 2024)</xref> .</p></sec><sec><title>b. Implementation of Numeracy Literacy Culture</title><p>After an initial analysis of literacy acculturation carried out at school. Researchers compiled numeracy literacy acculturation implementation activities with numeracy literacy-oriented assessment sheets on trigonometric comparison material. Before the implementation of the product was carried out at the first meeting of learning, the researcher gave two numeracy literacy questions as a pre-test and gave a critical thinking disposition questionnaire. The pre- test was given to determine the initial ability of students' numeracy literacy. Meanwhile, giving a questionnaire is done to find out the initial disposition of students before being given treatment.</p><p>During the administration of the pre-test questions, some students complained about the numeracy literacy questions they had to do. They stated that their teachers had never given trigonometric comparison problems in the form of story problems. The students' statements strengthened the indication that there was no numeracy literacy culture carried out by the teacher in learning. </p><p>The next meeting, the researcher gave a re-explanation of the trigonometric comparison material using the assessment sheet that had been developed. During learning, researchers facilitated students with guided practice through controlled exercises on the assessment sheet. The controlled exercises provided contained sample problems equipped with steps for solving trigonometric comparison problems. At the end of the meeting, students were directed to do a competency test on the assessment sheet to measure the improvement that had been achieved in product implementation.</p><p>In the last meeting, the research activities carried out were only giving the same numeracy literacy questions as the questions given during the pre-test and critical thinking disposition questionnaire. Giving the same questions and questionnaires aims to see if there is an increase in students' understanding and abilities after being given the treatment of implementing numeracy literacy culture using the assessment sheet that has been developed. All student scores obtained during learning activities are presented in the following table:</p><table-wrap id="table-2" ignoredToc=""><label>Table 2</label><caption><p>Student Learning Outcomes</p></caption><table frame="box" rules="all"><thead><tr><th colspan="1" rowspan="1" style="" align="left" valign="top"><p>Activities</p></th><th colspan="1" rowspan="1" style="" align="left" valign="top"><p>Average Value</p></th></tr></thead><tbody><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Pre-Test</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top">57.67</td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Competency Test</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top">63.13</td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Post-Test</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top">77.67</td></tr></tbody></table></table-wrap><p><xref ref-type="table" rid="table-2">Table 2</xref> shows the students' learning outcomes during the research activities. It can be seen that students' learning outcomes increased gradually during the research activities carried out with the implementation of numeracy literacy-oriented assessment sheets. The assessment sheet facilitated with a brief explanation of the material, controlled exercises, and independent exercises by analysing a problem. In the controlled exercises, there are problem-solving steps that can facilitate students in learning. However, during the pre-test and post-test activities, there was one problem that students complained about as shown in <xref ref-type="fig" rid="figure-3">Figure 3</xref>.</p><fig id="figure-3" ignoredToc=""><label>Figure 3</label><caption><p>Numeracy Literacy Problem</p></caption><graphic xlink:href="https://journals2.ums.ac.id/ijolae/article/download/8669/4431/52030" mimetype="image" mime-subtype="png"><alt-text>Image</alt-text></graphic></fig><p>The problem is a numeracy literacy problem that contains information on the application of trigonometric comparisons in a bridge design. students said that the problem was a relatively new problem for them. The question given was also not included in the assessment sheet used during the lesson.</p><fig id="figure-4" ignoredToc=""><label>Figure 4</label><caption><p>Student Pre-Test Results</p></caption><graphic xlink:href="https://journals2.ums.ac.id/ijolae/article/download/8669/4431/52031" mimetype="image" mime-subtype="png"><alt-text>Image</alt-text></graphic></fig><p><xref ref-type="fig" rid="figure-4">Figure 4</xref><bold><italic> </italic></bold>is one student's pre-test answer with an explanation. It can be seen that the student can identify what important information is contained in the problem. The student can also represent the information in a picture illustration that can support understanding to support problem solving. However, in solving the problem some students still use <italic>phytagoras </italic>material as in the picture. This shows that the modelling and mathematical communication aspects of the students' answers have not been fully met, although the solution steps are presented quite logically.</p><p>Student completion can be supported by the condition of students' critical thinking disposition at the beginning of the meeting. The results of critical thinking disposition obtained are presented in <xref ref-type="table" rid="table-3">Table 3</xref> below as follows:</p><table-wrap id="table-3" ignoredToc=""><label>Table 3</label><caption>Critical Thinking Disposition Results (Pre-Test)</caption><table frame="box" rules="all"><thead><tr><th colspan="1" rowspan="1" style="" align="left" valign="top"><p>Scale</p></th><th colspan="1" rowspan="1" style="" align="left" valign="top"><p>Average</p></th></tr></thead><tbody><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Truth - seeking</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.757</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Open Mindedness</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.848</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Analyticity</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.685</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Systematicity</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.685</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Critical Thinking selfconfidence</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.665</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Inquisitiveness</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.630</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Cognitive Maturity</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.464</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Average</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.693</p></td></tr></tbody></table></table-wrap><p>In <xref ref-type="table" rid="table-3">Table 3</xref>, it can be seen that the average obtained from the critical thinking disposition ability of 15 students in class XI-4 shows moderate results. This means that of the seven components assessed in the critical thinking disposition questionnaire, all of them show that students' enthusiasm in learning mathematics still needs to be improved.</p><p>The truth-seeking component is one of the important components in critical thinking disposition that can be used to support the development of numeracy literacy skills. In this component, a person will tend to look for evidence before accepting information. <xref ref-type="table" rid="table-3">Table 3</xref><bold><italic> </italic></bold>reflects that students' eagerness to seek information from new knowledge in a particular context shows a moderate level. Providing numeracy literacy-oriented problem exercises in learning can help students in developing their enthusiasm in learning.</p><p>Furthermore, the Open-mindedness component which shows the highest mean score among others indicates an open-mindedness so that students are able to accept input on different views. This component can support students' collaborative attitude which is needed to support the development of numeracy literacy skills.</p><p>In the Analyticity component, the score shows a medium category. This component is an important component in learning mathematics where this component can be used to show one's ability to use logical reasoning in solving a problem. In the figure, it can be seen that students' analytical skills can be seen that students' analytical skills are still moderate. The ability to analyse can be information that by providing problem exercises with a critical thinking level can develop students' analytical skills.</p><p>The Systematicity component used in the questionnaire is a component used to measure students' systematic ability to organise, focus, and be thorough in the tasks they do. The moderate category obtained shows that students' focus and thoroughness in solving problems are still not optimal. This can be seen in the student's work in <xref ref-type="fig" rid="figure-3">Figure 3</xref> where the lack of focus and thoroughness on the student causes the student to use different concepts in solving the problem.</p><p>In the Critical-Thinking Self Confidence component, which shows a moderate category, it shows that students' ability to make decisions based on their critical thinking is still not optimal. This shows that students still lack confidence in solving problems that require higher order thinking skills. This low self-confidence is likely due to the lack of acculturation of students in solving higher order thinking problems during the learning process.</p><p>The Inquisitiveness component in the critical thinking disposition component is a component that can be used to measure students' curiosity in learning new things. In the table, the average score obtained shows that the students' curiosity is still moderate. This may be due to the presentation of the assessment used by the teacher so far is less interesting and students' limitations in understanding the application of the concept of trigonometric comparison in everyday life.</p><p>Based on the seven components in critical thinking disposition, only the cognitive maturity component shows a low category. this component is a component that can be used to measure the level of maturity of students in making the right decisions along with the time provided. This means that students are not yet fully capable of making decisions to solve a problem. Problem solving ability is referred to mathematical power or mathematical skills (doing maths). Problem-solving is the process used in solving problems <xref ref-type="bibr" rid="BIBR-12">(Darmawan &amp; Suparman, 2019)</xref>. So mathematics can be categorised into low-level thinking and high-level thinking <xref ref-type="bibr" rid="BIBR-33">(Nurmeidina et al., 2025)</xref>.</p><fig id="figure-5" ignoredToc=""><label>Figure 5</label><caption><p>Student Post-Test Results</p></caption><graphic xlink:href="https://journals2.ums.ac.id/ijolae/article/download/8669/4431/52032" mimetype="image" mime-subtype="png"><alt-text>Image</alt-text></graphic></fig><p><xref ref-type="fig" rid="figure-5">Figure 5</xref> shows different results after students were treated using the numeracy literacy assessment sheet. The difference is in the use of the basic concepts of trigonometric comparison in problem solving. However, in the Mathematical Communication indicator, it is clear that students' steps in preparing problem solving steps are still random and there is inaccuracy in problem solving. This is shown in the student's error in multiplying the number of hypotenuses by 6, even though the hypotenuse on the bridge is 12.</p><p>In the post-test results, although there are still students who have not fulfilled all numeracy literacy indicators. However, <xref ref-type="table" rid="table-2">Table 2</xref> shows that the average obtained increased. This is also evident in the average critical thinking disposition of students after being given the treatment contained in the following table:</p><table-wrap id="table-4" ignoredToc=""><label>Table 4</label><caption>Critical Thinking Disposition Results (Post-Test)</caption><table frame="box" rules="all"><thead><tr><th colspan="1" rowspan="1" style="" align="left" valign="top"><p>Scale</p></th><th colspan="1" rowspan="1" style="" align="left" valign="top"><p>Average</p></th></tr></thead><tbody><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Truth - seeking</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.506</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Open Mindedness</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.686</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Analyticity</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.559</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Systematicity</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.574</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Critical Thinking selfconfidence</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.387</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Inquisitiveness</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.426</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Cognitive Maturity</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.314</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Average</p></td><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.507</p></td></tr></tbody></table></table-wrap><p><xref ref-type="table" rid="table-4">Table 4</xref><bold><italic> </italic></bold>shows the mean of all scales on critical thinking disposition. The results obtained show an increase from the previous data. The category of students' critical thinking disposition that was previously moderate became high. This increase can be a positive indicator that the acculturation of numeracy literacy using can improve students' critical thinking disposition. Even though the Systematicity component in one of the students in <xref ref-type="fig" rid="figure-5">Figure 5</xref><bold><italic> </italic></bold>shown is still not optimal.</p><p>Based on the results of the research that has been presented, the acculturation of numeracy literacy that exists at SMA Muhammadiyah Special Program Kottabarat has not been carried out by mathematics teachers. When observing the summative assessments used by teachers, the questions used, especially in trigonometric comparison material, have not implemented story problems or questions with higher-level thinking. The reality in the field is that subject teachers are also accustomed to developing mathematical literacy-oriented problems. The same thing is also found with research <xref ref-type="bibr" rid="BIBR-5">(Apriatni et al., 2022)</xref><xref ref-type="bibr" rid="BIBR-22">(Jannati &amp; Sumardi, 2023)</xref><xref ref-type="bibr" rid="BIBR-39">(Santoso et al., 2023)</xref> where teachers are still not accustomed to developing literacy-oriented questions so they use questions in printed books or questions available in the previous year.</p><p>The form of questions used by teachers in assessments tends to be in multiple choice for-mat. This causes limited information about the level of student understanding of trigonometric comparison material. In line with the opinion of <xref ref-type="bibr" rid="BIBR-28">(Mania et al., 2020)</xref> multiple choice is a form of question that is often used by teachers because of its ease in the assessment process. However, this form of question has its own weaknesses where the answers obtained are not supported by the process of obtaining answers. Thus, the teacher will have difficulty in analysing the extent of students' concept understanding because the answers presented do not describe students' abilities as a whole.</p><p>In the research conducted, researchers provided numeracy literacy-oriented problem exercises to support the acculturation of numeracy literacy in learning. The numeracy literacy questions given are contextual questions that can support the development of critical thinking skills. Agree with <xref ref-type="bibr" rid="BIBR-25">(Kolar &amp; Hodnik, 2021)</xref> that giving contextual problems related to everyday life can help mathe-matical literacy skills. Acculturation is also done by facilitating students with controlled exercises before students practice working on problems independently. controlled exercises on the assessment sheet help students think systematically in understanding the process to solve literacy problems <xref ref-type="bibr" rid="BIBR-46">(Sutama et al., 2022)</xref>. Thus, after being given treatment and re-tested, student learning outcomes and stu-dents' critical thinking disposition improved. This is because the habituation of students to do numeracy literacy exercises in learning can help students develop their critical thinking skills <xref ref-type="bibr" rid="BIBR-14">(Elvina &amp; Setyaningsih, 2023)</xref>. Continuous practice can also meet the needs of stu-dents facing difficulties in solving literacy and numeracy problems <xref ref-type="bibr" rid="BIBR-42">(Singh et al., 2023)</xref>.</p><p>What distinguishes this study from other studies is the presence of critical thinking dis-positions that can be seen when students are given numeracy literacy questions.</p><p>Disposition as the way students view le- arning will affect their learning outcomes, if they have a high disposition towards learning <xref ref-type="bibr" rid="BIBR-23">(Kamid et al., 2021)</xref>. In high school students who were used as research respondents, their critical thinking disposition at the beginning of the study showed a medium category. After being given numeracy literacy questions, their critical thinking disposition increased to the high category. In secondary school students, the cognitive stage experienced by students has entered the formal operational stage <xref ref-type="bibr" rid="BIBR-7">(Ardiningtyas et al., 2023)</xref>. At this stage, stu- dents are able to think abstractly. However, to be able to understand abstract material in mat- hematics, especially those that support the mastery of numeracy literacy skills, an appro- priate learning method or media is needed <xref ref-type="bibr" rid="BIBR-29">(Meliana et al., 2025)</xref>; <xref ref-type="bibr" rid="BIBR-27">(Listiaji et al., 2022)</xref> .</p></sec></sec><sec><title>4. Conclusion</title><p>The acculturation of numeracy literacy that occurs in one of the schools in Surakarta is still not optimal. The questions presented by teachers as assessments are still at the level of basic understanding of the material. To support numeracy literacy acculturation, teachers can develop appropriate learning methods or media such as numeracy literacy-oriented assessment sheets. This is because continuous practice of numeracy literacy-oriented questions can train their critical thinking skills. This habit can be started from providing facilities for students through basic concept development, controlled practice, and independent practice.</p><p>The presentation of material related to everyday life can increase students' knowledge of the benefits of learning abstract mathematical material. Providing contextual problems can help improve students' perspectives on mathematics. This can be seen from the results of the critical thinking disposition questionnaire which increased after numeracy literacy habituation. The information in the literacy questions can increase students' curiosity in the application of abstract mathematics material. This new knowledge can increase students' <italic>open-mindedness</italic>. The facility of controlled practice before independent practice makes students practice <italic>Analyticity </italic>and <italic>Systematicity</italic>. Providing numeracy literacy exercises can also increase <italic>Critical-Thinking Self Confidence </italic>and <italic>Cognitive Maturity </italic>due to habituation.</p></sec></body><back><ref-list><title>References</title><ref id="BIBR-1"><element-citation publication-type="article-journal"><article-title>Strategic technological innovation through ChatMu: transforming information accessibility in Muhammadiyah</article-title><source>Frontiers in Artificial Intelligence</source><volume>8</volume><person-group person-group-type="author"><name><surname>Adhantoro</surname><given-names>M.S.</given-names></name><name><surname>Gunawan</surname><given-names>D.</given-names></name><name><surname>Prayitno</surname><given-names>H.J.</given-names></name><name><surname>Riyanti</surname><given-names>R.F.</given-names></name><name><surname>Purnomo</surname><given-names>E.</given-names></name><name><surname>Jufriansah</surname><given-names>A.</given-names></name></person-group><year>2025</year><page-range>1446590</page-range></element-citation></ref><ref id="BIBR-2"><element-citation publication-type="chapter"><source>Implementasi Program Literasi Teknologi untuk Meningkatkan Kesadaran Digital Siswa di ICC Al Anshar Bahau, Malaysia. Buletin KKN Pendidikan</source><person-group person-group-type="author"><name><surname>Adhantoro</surname><given-names>M.S.</given-names></name><name><surname>Ula</surname><given-names>R.</given-names></name><name><surname>Harefa</surname><given-names>M.</given-names></name><name><surname>Assifa</surname><given-names>N.</given-names></name><name><surname>Riyanti</surname><given-names>R.F.</given-names></name><name><surname>Purnomo</surname><given-names>E.</given-names></name><name><surname>Wahyuni</surname><given-names>C.S.</given-names></name><etal/></person-group><year>2024</year><fpage>289</fpage><lpage>204</lpage><page-range>289-204</page-range></element-citation></ref><ref id="BIBR-3"><element-citation publication-type="article-journal"><article-title>Main contents and implications of the 2023 revision of the OECD Guidelines for Multinational Enterprises</article-title><source>Journal of International Logistics and Trade</source><volume>22</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Ahn</surname><given-names>K.H.</given-names></name></person-group><year>2024</year><fpage>80</fpage><lpage>92</lpage><page-range>80-92</page-range></element-citation></ref><ref id="BIBR-4"><element-citation publication-type="article-journal"><article-title>Strategies for Integrating Problem-Based Learning, Teaching Modules, and Formative Assessments to Enhance Learning Outcomes and Critical Thinking Skills</article-title><source>Indonesian Journal on Learning and Advanced Education (IJOLAE</source><volume>7</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Ajid</surname><given-names>S.N.</given-names></name><name><surname>Kusumaningtyas</surname><given-names>D.A.</given-names></name><name><surname>Ratih</surname><given-names>K.</given-names></name><name><surname>Lava</surname><given-names>S.</given-names></name></person-group><year>2025</year><fpage>218</fpage><lpage>232</lpage><page-range>218-232</page-range><pub-id pub-id-type="doi">10.23917/ijolae.v7i2.8612</pub-id></element-citation></ref><ref id="BIBR-5"><element-citation publication-type="article-journal"><article-title>Pengembangan Instrumen Literasi Numerasi Materi Trigonometri Kelas X Sma</article-title><source>EDU-MAT: Jurnal Pendidikan Matematika</source><volume>10</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Apriatni</surname><given-names>S.</given-names></name><name><surname>Yuhana</surname><given-names>Y.</given-names></name><name><surname>Sukirwan</surname><given-names>S.</given-names></name></person-group><year>2022</year><page-range>185</page-range><pub-id pub-id-type="doi">10.20527/edumat.v10i2.13720</pub-id></element-citation></ref><ref id="BIBR-6"><element-citation publication-type="article-journal"><article-title>Development of Mathematics Literacy Questions on Trigonometry</article-title><source>Brillo Journal</source><volume>3</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Aqillah</surname><given-names>H.N.</given-names></name><name><surname>Kurniasi</surname><given-names>E.R.</given-names></name><name><surname>Agustine</surname><given-names>P.C.</given-names></name></person-group><year>2023</year><fpage>10</fpage><lpage>20</lpage><page-range>10-20</page-range><pub-id pub-id-type="doi">10.56773/bj.v3i1.31</pub-id></element-citation></ref><ref id="BIBR-7"><element-citation publication-type="article-journal"><article-title>Penerapan Teori Piaget dalam Pembelajaran Matematika di Sekolah Menengah Atas: Studi Kasus di Sekolah SMA Negeri 3 Medan</article-title><source>Tut Wuri Handayani : Jurnal Keguruan Dan Ilmu Pendidikan</source><volume>2</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Ardiningtyas</surname><given-names>M.</given-names></name><name><surname>Harahap</surname><given-names>T.H.</given-names></name><name><surname>Panggabean</surname><given-names>E.M.</given-names></name></person-group><year>2023</year><fpage>66</fpage><lpage>71</lpage><page-range>66-71</page-range><pub-id pub-id-type="doi">10.59086/jkip.v2i2.294</pub-id></element-citation></ref><ref id="BIBR-8"><element-citation publication-type="article-journal"><article-title>The effects of subject-based critical thinking education in mathematics on students’ critical thinking skills and virtues*</article-title><source>Eurasian Journal of Educational Research</source><volume>2021</volume><issue>92</issue><person-group person-group-type="author"><name><surname>Arisoy</surname><given-names>B.</given-names></name><name><surname>Aybek</surname><given-names>B.</given-names></name></person-group><year>2021</year><fpage>99</fpage><lpage>120</lpage><page-range>99-120</page-range><pub-id pub-id-type="doi">10.14689/ejer.2021.92.6</pub-id></element-citation></ref><ref id="BIBR-9"><element-citation publication-type="article-journal"><article-title>The difficulties of students when solving HOTS problem and the description of students cognitive load after given worked example as a feedback</article-title><source>Journal of Physics: Conference Series</source><volume>1511</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Asrafil</surname><given-names>A.</given-names></name><name><surname>Retnawati</surname><given-names>H.</given-names></name><name><surname>Retnowati</surname><given-names>E.</given-names></name></person-group><year>2020</year><pub-id pub-id-type="doi">10.1088/1742-6596/1511/1/012092</pub-id></element-citation></ref><ref id="BIBR-10"><element-citation publication-type="paper-conference"><article-title>The 21 st Century Skills through Literacy and Numeracy at Public Junior High Schools in Pamekasan Madura</article-title><source>Proceedings of the 6th International Conference on Islamic Studies (ICONIS</source><person-group person-group-type="author"><name><surname>Azizah</surname><given-names>S.</given-names></name></person-group><year>2022</year><fpage>13</fpage><lpage>18</lpage><page-range>13-18</page-range></element-citation></ref><ref id="BIBR-11"><element-citation publication-type="article-journal"><article-title>Expanding the Concept of Literacy</article-title><source>Media Literacy in the Information Age</source><issue>/April</issue><person-group person-group-type="author"><name><surname>Daley</surname><given-names>E.</given-names></name></person-group><year>1997</year><fpage>32</fpage><lpage>40</lpage><page-range>32-40</page-range></element-citation></ref><ref id="BIBR-12"><element-citation publication-type="article-journal"><article-title>Design of Mathematics Learning Media based on Discovery Learning to Improve Problem Solving Ability</article-title><source>Indonesian Journal on Learning and Advanced Education (IJOLAE</source><volume>1</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Darmawan</surname><given-names>E.W.</given-names></name><name><surname>Suparman</surname><given-names>S.</given-names></name></person-group><year>2019</year><fpage>20</fpage><lpage>28</lpage><page-range>20-28</page-range><pub-id pub-id-type="doi">10.23917/ijolae.v1i2.7564</pub-id></element-citation></ref><ref id="BIBR-13"><element-citation publication-type="article-journal"><article-title>Did the Teacher Ask the Right Questions? An Analysis of Teacher Asking Ability in Stimulating Students’ Mathematical Literacy</article-title><source>Journal of Higher Education Theory and Practice</source><volume>23</volume><issue>5</issue><person-group person-group-type="author"><name><surname>Domu</surname><given-names>I.</given-names></name><name><surname>Regar</surname><given-names>V.E.</given-names></name><name><surname>Kumesan</surname><given-names>S.</given-names></name><name><surname>Mangelep</surname><given-names>N.O.</given-names></name><name><surname>Manurung</surname><given-names>O.</given-names></name></person-group><year>2023</year><fpage>248</fpage><lpage>256</lpage><page-range>248-256</page-range><pub-id pub-id-type="doi">10.33423/jhetp.v23i5.5970</pub-id></element-citation></ref><ref id="BIBR-14"><element-citation publication-type="paper-conference"><article-title>Development of student worksheets based on numerational literacy on linear program materials to support assessment of minimum competency</article-title><source>The 2nd International Conference on Mathematics and Learning Research (ICOMER</source><person-group person-group-type="author"><name><surname>Elvina</surname><given-names>A.</given-names></name><name><surname>Setyaningsih</surname><given-names>N.</given-names></name></person-group><year>2023</year><pub-id pub-id-type="doi">10.1063/5.0154671</pub-id></element-citation></ref><ref id="BIBR-15"><element-citation publication-type="article-journal"><article-title>Critical Thinking Dispositions: Their Nature and Assessability</article-title><source>Informal Logic</source><volume>18</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Ennis</surname><given-names>R.H.</given-names></name></person-group><year>1996</year><fpage>165</fpage><lpage>182</lpage><page-range>165-182</page-range><pub-id pub-id-type="doi">10.22329/il.v18i2.2378</pub-id></element-citation></ref><ref id="BIBR-16"><element-citation publication-type="book"><article-title>Measuring student success skills: A review of the literature on self-directed learning</article-title><person-group person-group-type="author"><name><surname>Evans</surname><given-names>C.</given-names></name></person-group><year>2020</year><fpage>1</fpage><lpage>18</lpage><page-range>1-18</page-range><publisher-name>Center For Assessment</publisher-name></element-citation></ref><ref id="BIBR-17"><element-citation publication-type="article-journal"><article-title>Convenience Sampling</article-title><source>IJELS : International Journal of Education and Languange Studies</source><volume>1</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Golzar</surname><given-names>J.</given-names></name><name><surname>Noor</surname><given-names>S.</given-names></name><name><surname>Tajik</surname><given-names>O.</given-names></name></person-group><year>2022</year><fpage>72</fpage><lpage>77</lpage><page-range>72-77</page-range><pub-id pub-id-type="doi">10.4135/9781412972024.n551</pub-id></element-citation></ref><ref id="BIBR-18"><element-citation publication-type="article-journal"><article-title>Materi Pendukung Literasi Numerasi</article-title><source>Kementrian Pendidikan Dan Kebudayaan, Tim GLN Kemendikbud</source><volume>8</volume><issue>9</issue><person-group person-group-type="author"><name><surname>Han</surname><given-names>W.</given-names></name><name><surname>Susanto</surname><given-names>D.</given-names></name><name><surname>Dewayani</surname><given-names>S.</given-names></name><name><surname>Pandora</surname><given-names>P.</given-names></name><name><surname>Hanifah</surname><given-names>N.</given-names></name><name><surname>Miftahussururi.</surname><given-names>Nento</given-names></name><name><surname>N.</surname><given-names>M.</given-names></name><name><surname>Akbari</surname><given-names>Q.S.</given-names></name></person-group><year>2017</year><fpage>1</fpage><lpage>58</lpage><page-range>1-58</page-range></element-citation></ref><ref id="BIBR-19"><element-citation publication-type="article-journal"><article-title>Numeracy literacy skills of socio-cultural contexts on geometry in junior high schools</article-title><source>AIP Conference Proceedings</source><volume>2926</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Handayani</surname><given-names>P.N.</given-names></name><name name-style="given-only"><given-names>Sutama</given-names></name></person-group><year>2024</year><pub-id pub-id-type="doi">10.1063/5.0182847</pub-id></element-citation></ref><ref id="BIBR-20"><element-citation publication-type="article-journal"><article-title>the Effect of Mathematical Disposition and Learning Motivation on Problem Solving: an Analysis</article-title><source>Infinity Journal</source><volume>8</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Hutajulu</surname><given-names>M.</given-names></name><name><surname>Wijaya</surname><given-names>T.T.</given-names></name><name><surname>Hidayat</surname><given-names>W.</given-names></name></person-group><year>2019</year><page-range>229</page-range><pub-id pub-id-type="doi">10.22460/infinity.v8i2.p229-238</pub-id></element-citation></ref><ref id="BIBR-21"><element-citation publication-type="article-journal"><article-title>Mathematical Literacy Proficiency Development Based on Content, Context, and Process</article-title><source>Problems of Education in the 21st Century</source><volume>78</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Jailani</surname><given-names>J.</given-names></name><name><surname>Heri Retnawati</surname><given-names>H.R.</given-names></name><name><surname>Wulandari</surname><given-names>N.F.</given-names></name><name><surname>Djidu</surname><given-names>H.</given-names></name></person-group><year>2020</year><fpage>80</fpage><lpage>101</lpage><page-range>80-101</page-range><pub-id pub-id-type="doi">10.33225/pec/20.78.80</pub-id></element-citation></ref><ref id="BIBR-22"><element-citation publication-type="paper-conference"><article-title>A Minimum Competency Assessment-Based Electronic</article-title><source>The 2nd International Conference on Mathematics and Learning Research (ICOMER</source><person-group person-group-type="author"><name><surname>Jannati</surname><given-names>A.A.</given-names></name><name name-style="given-only"><given-names>Sumardi</given-names></name></person-group><year>2023</year><pub-id pub-id-type="doi">10.1063/5.0155906</pub-id></element-citation></ref><ref id="BIBR-23"><element-citation publication-type="article-journal"><article-title>The Relationship between Students’ Mathematical Disposition and Their Learning Outcomes</article-title><source>Journal of Education and Learning (EduLearn</source><volume>15</volume><issue>3</issue><person-group person-group-type="author"><name><surname>Kamid</surname><given-names>K.</given-names></name><name><surname>Huda</surname><given-names>N.</given-names></name><name><surname>Syafmen</surname><given-names>W.</given-names></name><name><surname>Sufri</surname><given-names>S.</given-names></name><name><surname>Sofnidar</surname><given-names>S.</given-names></name></person-group><year>2021</year><fpage>376</fpage><lpage>382</lpage><page-range>376-382</page-range><pub-id pub-id-type="doi">10.11591/edulearn.v15i3.17604</pub-id></element-citation></ref><ref id="BIBR-24"><element-citation publication-type="book"><article-title>Asesmen Nasional: Lembar Tanya Jawab</article-title><person-group person-group-type="author"><name name-style="given-only"><given-names>Kemendikbud</given-names></name></person-group><year>2021</year><fpage>1</fpage><lpage>32</lpage><page-range>1-32</page-range><publisher-name>Kementerian Pendidikan Dan Kebudayaan</publisher-name></element-citation></ref><ref id="BIBR-25"><element-citation publication-type="article-journal"><article-title>Mathematical literacy from the perspective of solving contextual problems</article-title><source>European Journal of Educational Research</source><volume>10</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Kolar</surname><given-names>V.M.</given-names></name><name><surname>Hodnik</surname><given-names>T.</given-names></name></person-group><year>2021</year><fpage>467</fpage><lpage>483</lpage><page-range>467-483</page-range><pub-id pub-id-type="doi">10.12973/EU-JER.10.1.467</pub-id></element-citation></ref><ref id="BIBR-26"><element-citation publication-type="article-journal"><article-title>The Characteristics of Mathematical Literacy Based on Students’ Executive Function</article-title><source>European Journal of Educational Research</source><volume>11</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Kusuma</surname><given-names>D.</given-names></name><name><surname>Sukestiyarno</surname><given-names>Y.</given-names></name><name><surname>Wardono</surname></name><name><surname>Cahyono</surname><given-names>A.N.</given-names></name></person-group><year>2022</year><fpage>193</fpage><lpage>206</lpage><page-range>193-206</page-range></element-citation></ref><ref id="BIBR-27"><element-citation publication-type="article-journal"><article-title>PjBL Model assisted by Smartphone Sensors to Improve Critical Thinking Skills of Prospective Science Teachers</article-title><source>Indonesian Journal on Learning and Advanced Education (IJOLAE</source><volume>4</volume><issue>3</issue><person-group person-group-type="author"><name><surname>Listiaji</surname><given-names>P.</given-names></name><name><surname>Widianingrum</surname><given-names>R.A.</given-names></name><name><surname>Saputri</surname><given-names>A.A.I.</given-names></name><name><surname>Rahman</surname><given-names>N.F.A.</given-names></name></person-group><year>2022</year><fpage>246</fpage><lpage>256</lpage><page-range>246-256</page-range></element-citation></ref><ref id="BIBR-28"><element-citation publication-type="article-journal"><article-title>Analisis Butir Soal Ujian Akhir Sekolah</article-title><source>Al Asma : Journal of Islamic Education</source><volume>2</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Mania</surname><given-names>S.</given-names></name><name><surname>Fitriani</surname><given-names>F.</given-names></name><name><surname>Majid</surname><given-names>A.F.</given-names></name><name><surname>Ichiana</surname><given-names>N.N.</given-names></name><name><surname>Abrar</surname><given-names>A.I.P.</given-names></name></person-group><year>2020</year><page-range>274</page-range><pub-id pub-id-type="doi">10.24252/asma.v2i2.16569</pub-id></element-citation></ref><ref id="BIBR-29"><element-citation publication-type=""><article-title>Efektivitas Media Pembelajaran Digital terhadap Kemampuan Literasi Numerasi Siswa</article-title><volume>8</volume><person-group person-group-type="author"><name><surname>Meliana</surname><given-names>M.</given-names></name><name><surname>Suwindia</surname><given-names>I.G.</given-names></name><name><surname>Winangun</surname><given-names>I.M.A.</given-names></name></person-group><year>2025</year><fpage>862</fpage><lpage>867</lpage><page-range>862-867</page-range></element-citation></ref><ref id="BIBR-30"><element-citation publication-type="article-journal"><article-title>Higher Order Thinking Skills in Reading Literacy Questions at Vocational High Schools in Indonesia</article-title><source>International Journal of Language Education</source><volume>7</volume><issue>4</issue><person-group person-group-type="author"><name><surname>Mukhlis</surname><given-names>M.</given-names></name><name><surname>Suwandi</surname><given-names>S.</given-names></name><name><surname>Rohmadi</surname><given-names>M.</given-names></name><name><surname>Setiawan</surname><given-names>B.</given-names></name></person-group><year>2023</year><fpage>615</fpage><lpage>632</lpage><page-range>615-632</page-range><pub-id pub-id-type="doi">10.26858/ijole.v7i4.37603</pub-id></element-citation></ref><ref id="BIBR-31"><element-citation publication-type="article-journal"><article-title>Penyusunan Soal HOTS Sebagai Upaya Meningkatkan Kemampuan Literasi dan Numerasi Siswa MA Arifah Gowa</article-title><source>Jurnal Pelayanan Masyarakat Intelektual</source><volume>1</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Nasir</surname><given-names>N.</given-names></name><name><surname>Nurhajarurahmah</surname><given-names>S.Z.</given-names></name><name><surname>Wazithah</surname><given-names>M.A.</given-names></name><name><surname>Rahman</surname><given-names>M.S.</given-names></name><name name-style="given-only"><given-names>Jafar</given-names></name></person-group><year>2024</year><fpage>36</fpage><lpage>40</lpage><page-range>36-40</page-range></element-citation></ref><ref id="BIBR-32"><element-citation publication-type="article-journal"><article-title>Harnessing Loose Part Media for Cognitive Development: Evaluating Its Effects on Early Mathematics Play Activities in Early Childhood Education</article-title><source>Indonesian Journal on Learning and Advanced Education (IJOLAE</source><volume>6</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Nasution</surname><given-names>M.P.</given-names></name><name><surname>Sormin</surname><given-names>D.</given-names></name><name><surname>Lubis</surname><given-names>J.N.</given-names></name><name><surname>Wahyuni</surname><given-names>S.</given-names></name><name><surname>Siregar</surname><given-names>A.K.</given-names></name><name><surname>Mahir</surname><given-names>A.</given-names></name></person-group><year>2024</year><fpage>254</fpage><lpage>268</lpage><page-range>254-268</page-range><pub-id pub-id-type="doi">10.23917/ijolae.v6i2.23184</pub-id></element-citation></ref><ref id="BIBR-33"><element-citation publication-type="article-journal"><article-title>Exploring the Interplay between Habits of Mind and Problem-Solving Skills in Online Mathematics Learning: Insights from Three-Variable Linear Equation Contextual Problems</article-title><source>Indonesian Journal on Learning and Advanced Education (IJOLAE</source><volume>7</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Nurmeidina</surname><given-names>R.</given-names></name><name><surname>Zaqiyah</surname><given-names>N.N.</given-names></name><name><surname>Nugroho</surname><given-names>A.G.</given-names></name><name><surname>Andini</surname><given-names>A.</given-names></name><name><surname>Faiziyah</surname><given-names>N.</given-names></name><name><surname>Adnan</surname><given-names>M.B.</given-names></name><name><surname>Syar’i</surname><given-names>A.</given-names></name></person-group><year>2025</year><fpage>117</fpage><lpage>135</lpage><page-range>117-135</page-range><pub-id pub-id-type="doi">10.23917/ijolae.v7i1.23550</pub-id></element-citation></ref><ref id="BIBR-34"><element-citation publication-type="book"><article-title>An OECD learning framework 2030</article-title><person-group person-group-type="author"><name name-style="given-only"><given-names>O.E.C.D.</given-names></name></person-group><year>2019</year><fpage>23</fpage><lpage>35</lpage><page-range>23-35</page-range><publisher-name>Springer International Publishing</publisher-name></element-citation></ref><ref id="BIBR-35"><element-citation publication-type="article-journal"><article-title>Kompetensi Berpikir Kritis Siswa Dalam Memecahkan Persoalan Hots Berdasarkan Gaya Belajar</article-title><source>AKSIOMA: Jurnal Program Studi Pendidikan Matematika</source><volume>11</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Octaviana</surname><given-names>P.</given-names></name><name><surname>Setyaningsih</surname><given-names>N.</given-names></name></person-group><year>2022</year><page-range>1436</page-range><pub-id pub-id-type="doi">10.24127/ajpm.v11i2.4928</pub-id></element-citation></ref><ref id="BIBR-36"><element-citation publication-type="article-journal"><article-title>Eksplorasi Disposisi Berpikir Kritis Siswa SMP Negeri 2 Balai</article-title><source>Wacana Akademika: Majalah Ilmiah Kependidikan</source><volume>6</volume><issue>3</issue><person-group person-group-type="author"><name><surname>Rahardhian</surname><given-names>A.</given-names></name><name><surname>Astuti</surname><given-names>I.</given-names></name><name name-style="given-only"><given-names>Afandi</given-names></name></person-group><year>2022</year><fpage>295</fpage><lpage>302</lpage><page-range>295-302</page-range></element-citation></ref><ref id="BIBR-37"><element-citation publication-type="paper-conference"><article-title>Mathematical Literacy of Students Who Have High Mathematical Disposition in Solving PISA-Like Mathematics Problems</article-title><source>Proceedings of the International Conference of Mathematics and Mathematics Education (I-CMME 2021</source><volume>597</volume><person-group person-group-type="author"><name><surname>Rahmawati</surname><given-names>W.A.</given-names></name><name><surname>Usodo</surname><given-names>B.</given-names></name><name><surname>Fitriana</surname><given-names>L.</given-names></name></person-group><year>2021</year><fpage>281</fpage><lpage>287</lpage><page-range>281-287</page-range><pub-id pub-id-type="doi">10.2991/assehr.k.211122.039</pub-id></element-citation></ref><ref id="BIBR-38"><element-citation publication-type="article-journal"><article-title>Book Clubs as a Pedagogical Tool for Developing Critical Thinking: Evidence from an English Education Program in Indonesia</article-title><source>Indonesian Journal on Learning and Advanced Education (IJOLAE</source><volume>6</volume><issue>3</issue><person-group person-group-type="author"><name><surname>Rusiana</surname><given-names>R.</given-names></name><name><surname>Nuraeningsih</surname><given-names>N.</given-names></name><name><surname>Sulistyowati</surname><given-names>T.</given-names></name><name><surname>Syafei</surname><given-names>M.</given-names></name><name><surname>Romadlon</surname><given-names>F.N.</given-names></name><name><surname>Nurcahyo</surname><given-names>A.D.</given-names></name><name><surname>Agulan</surname><given-names>L.P.</given-names></name><name><surname>Thongmark</surname><given-names>N.</given-names></name><name><surname>Anna</surname><given-names>S.</given-names></name><name><surname>Kurt-Taşpınar</surname><given-names>H.</given-names></name><name><surname>Milad</surname><given-names>Abdurrahman Ahmed</given-names></name></person-group><year>2024</year><fpage>350</fpage><lpage>364</lpage><page-range>350-364</page-range><pub-id pub-id-type="doi">10.23917/ijolae.v6i3.23663</pub-id></element-citation></ref><ref id="BIBR-39"><element-citation publication-type=""><article-title>Efektivitas Google Classroom Saat Masa Pandemi Terhadap Keaktifan dan Hasil Belajar Notasi Kepatihan</article-title><volume>12</volume><issue>4</issue><person-group person-group-type="author"><name><surname>Santoso</surname><given-names>W.T.</given-names></name><name><surname>Nawanti</surname><given-names>R.D.</given-names></name><name><surname>Murtiyasa</surname><given-names>B.</given-names></name></person-group><year>2023</year><fpage>577</fpage><lpage>588</lpage><page-range>577-588</page-range></element-citation></ref><ref id="BIBR-40"><element-citation publication-type="article-journal"><article-title>Pengembangan Instrumen Asesmen Higher Order Thinking Skills (Hots) Berbasis Literasi Matematika Pada Materi Spldv</article-title><source>AKSIOMA: Jurnal Program Studi Pendidikan Matematika</source><volume>11</volume><issue>3</issue><person-group person-group-type="author"><name><surname>Setyaningsih</surname><given-names>N.</given-names></name><name><surname>Mukodimah</surname><given-names>T.D.</given-names></name></person-group><year>2022</year><page-range>1739</page-range><pub-id pub-id-type="doi">10.24127/ajpm.v11i3.5447</pub-id></element-citation></ref><ref id="BIBR-41"><element-citation publication-type="article-journal"><article-title>Students’ responses leveling in solving mathematical problem based on SOLO taxonomy viewed from multiple intelligences</article-title><source>Indonesian Journal on Learning and Advanced Education</source><volume>IJOLAE</volume><person-group person-group-type="author"><name><surname>Silwana</surname><given-names>A.</given-names></name><name><surname>Manyunu</surname><given-names>M.</given-names></name><name><surname>Rashahan</surname><given-names>A.A.</given-names></name></person-group><year>2021</year><fpage>1</fpage><lpage>16</lpage><page-range>1-16</page-range></element-citation></ref><ref id="BIBR-42"><element-citation publication-type="article-journal"><article-title>Effectiveness of literacy and numeracy in commerce subjects among secondary schools in Fiji</article-title><source>Journal of Education and Learning (EduLearn</source><volume>17</volume><issue>3</issue><person-group person-group-type="author"><name><surname>Singh</surname><given-names>D.</given-names></name><name><surname>Chand</surname><given-names>S.P.</given-names></name><name><surname>Kumar</surname><given-names>K.K.</given-names></name><name><surname>Ali</surname><given-names>R.</given-names></name><name><surname>Info</surname><given-names>A.</given-names></name></person-group><year>2023</year><fpage>447</fpage><lpage>454</lpage><page-range>447-454</page-range><pub-id pub-id-type="doi">10.11591/edulearn.v17i3.20873</pub-id></element-citation></ref><ref id="BIBR-43"><element-citation publication-type="article-journal"><article-title>Developing Mathematical Literacy</article-title><source>Journal of Humanistic Mathematics</source><volume>10</volume><person-group person-group-type="author"><name><surname>Steen</surname><given-names>L.A.</given-names></name><name><surname>Turner</surname><given-names>R.</given-names></name><name><surname>Burkhardt</surname><given-names>H.</given-names></name></person-group><year>2007</year><fpage>285</fpage><lpage>294</lpage><page-range>285-294</page-range><pub-id pub-id-type="doi">10.1007/978-0-387-29822-1_30</pub-id></element-citation></ref><ref id="BIBR-44"><element-citation publication-type="chapter"><article-title>Metode penelitian kuantitatif kualitatif dan R&amp;D</article-title><source>Penerbit Alfabeta</source><person-group person-group-type="author"><name><surname>Sugiyono</surname><given-names>D.</given-names></name></person-group><year>2010</year></element-citation></ref><ref id="BIBR-45"><element-citation publication-type="article-journal"><article-title>Hubungan antara kemampuan berpikir kritis matematis dan disposisi berpikir kritis matematis</article-title><source>Journal of Mathematics Education</source><volume>5</volume><issue>1</issue><person-group person-group-type="author"><name><surname>Sulistiowati</surname><given-names>D.L.</given-names></name></person-group><year>2024</year><fpage>31</fpage><lpage>44</lpage><page-range>31-44</page-range></element-citation></ref><ref id="BIBR-46"><element-citation publication-type=""><article-title>Metode Penelitian Pendidikan</article-title><person-group person-group-type="author"><name><surname>Sutama</surname><given-names>Hidayati</given-names></name><name><surname>M.</surname><given-names>Y.</given-names></name><name><surname>Novitasari</surname><given-names>M.</given-names></name></person-group><year>2022</year></element-citation></ref><ref id="BIBR-47"><element-citation publication-type="article-journal"><article-title>Collaborative mathematics learning management: Critical thinking skills in problem solving</article-title><source>International Journal of Evaluation and Research in Education</source><volume>11</volume><issue>3</issue><person-group person-group-type="author"><name><surname>Sutama</surname><given-names>S.</given-names></name><name><surname>Fuadi</surname><given-names>D.</given-names></name><name><surname>Narimo</surname><given-names>S.</given-names></name><name><surname>Hafida</surname><given-names>S.H.N.</given-names></name><name><surname>Novitasari</surname><given-names>M.</given-names></name><name><surname>Anif</surname><given-names>S.</given-names></name><name><surname>Prayitno</surname><given-names>H.J.</given-names></name><name><surname>Sunanih</surname><given-names>S.</given-names></name><name><surname>Adnan</surname><given-names>M.</given-names></name></person-group><year>2022</year><fpage>1015</fpage><lpage>1027</lpage><page-range>1015-1027</page-range><pub-id pub-id-type="doi">10.11591/ijere.v11i3.22193</pub-id></element-citation></ref><ref id="BIBR-48"><element-citation publication-type="article-journal"><article-title>Analyzing in-service teachers ’ process of mathematical literacy problem posing</article-title><source>International Electronic Journal of Mathematics Education</source><volume>17</volume><issue>3</issue><person-group person-group-type="author"><name><surname>Ulger</surname><given-names>T.K.</given-names></name><name><surname>Bozkurt</surname><given-names>I.</given-names></name><name><surname>Altun</surname><given-names>M.</given-names></name></person-group><year>2022</year><fpage>1</fpage><lpage>19</lpage><page-range>1-19</page-range></element-citation></ref><ref id="BIBR-49"><element-citation publication-type="article-journal"><article-title>Enhancing Cognitive Learning: A Comparative Analysis of E-Learning Media Tailored to Different Learning Styles</article-title><source>Indonesian Journal on Learning and Advanced Education (IJOLAE</source><volume>6</volume><issue>2</issue><person-group person-group-type="author"><name><surname>Winarti</surname><given-names>A.</given-names></name><name><surname>Almubarak</surname><given-names>A.</given-names></name><name><surname>Sundari</surname><given-names>T.</given-names></name><name><surname>Sumardjoko</surname><given-names>B.</given-names></name><name><surname>Nzuza</surname><given-names>Z.</given-names></name></person-group><year>2024</year><fpage>280</fpage><lpage>294</lpage><page-range>280-294</page-range><pub-id pub-id-type="doi">10.23917/ijolae.v6i2.23079</pub-id></element-citation></ref></ref-list></back></article>
