Development of Mathematical Problem Solving Tests on Geometry for Junior High School Students

Sri Adi Widodo, Ibrahim Ibrahim, Wahyu Hidayat, Samsul Maarif, Fitri Sulistyowati


One of the cognitive skills that students must have is problem-solving ability. Therefore, a standardized test is needed to measure this ability. However, until now, the tests used to measure mathematical problem-solving ability were not standardized. This research aims to develop a valid and practical mathematical problem-solving test in the discussion of triangles and rectangles. This research is part of the R&D 4D type with steps: Defined (analysis to develop a test), Design (designing a problem-solving test form), and Develop (expert judgment and small group trials). The instrument in this research was the validation sheet used by the validator to assess each test item. The data analysis technique used the Aiken method for expert judgment and qualitative descriptive for development testing. The result is a valid and practical mathematical problem-solving test because the V-Aiken value is more than 0.532. Based on this, the instrument can be used to measure the mathematical problem-solving ability of junior high school students in the discussion of triangles and rectangles.


instrument of research; geometry; problem-solving

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Aiken, L. H., & Patrician, P. A. (2000). Measuring organizational traits of hospitals: The revised nursing work index. Nursing Research, 49(3), 146–153.

Aiken, L R. (1999). Personality assessment methods and practices (3rd Ed). Göttingen: Hogrefe & Huber Publishers.

Aiken, L. R. (1980). Content validity and reliability of single items or questionnaires. Educational and Psychological Measurement, 40(4), 955–959.

Allen, M. J., & Yen, W. M. (2001). Introduction to measurement. Illinois: Waveland Press.

Anisah, A., Zulkardi, Z., & Darmawijoyo, D. (2013). Pengembangan soal matematika model pisa pada konten quantity untuk mengukur kemampuan penalaran matematis siswa sekolah menengah pertama. Jurnal Pendidikan Matematika, 5(1).

Bidasari, F. (2017). Pengembangan soal matematika model pisa pada konten quantity untuk mengukur kemampuan pemecahan masalah matematika siswa sekolah menengah pertama. Jurnal Gantang, 2(1), 63–77.

Borgman, C. L. (2012). The conundrum of sharing research data. Journal of the American Society for Information Science and Technology, 63(6), 1059-1078.

Budiyono. (2003). Metodologi penelitian pendidikan. Solo: UNS Press.

Drost, E. A. (2011). Validity and reliability in social science research. Education Research and Perspectives, 3(1), 105.

Gay, L. R. (1990). Educational evaluation and measurement: competencies for analysis and application. London: Mac Millan Pub. Comp.

Girard, J. M., & Cohn, J. F. (2016). A primer on observational measurement. Assessment, 23(4), 404-413.

Hartatiana, H. (2014). Pengembangan soal pemecahan masalah berbasis argumen untuk siswa kelas V di SD Negeri 79 Palembang. Jurnal Pendidikan Matematika, 8(2), 76–85.

Hendriana, H., Prahmana, R. C. I., & Hidayat, W. (2019). The innovation of learning trajectory on multiplication operations for rural area students in Indonesia. Journal on Mathematics Education, 10(3), 397-408.

Hendriana, H., Putra, H. D., & Hidayat, W. (2019). How to design teaching materials to improve the ability of mathematical reflective thinking of senior high school students in Indonesia? Eurasia Journal of Mathematics, Science and Technology Education, 15(12), 1-20.

Hidayat, W, & Aripin, U. (2019). The improvement of students’ mathematical understanding ability influenced from argument-driven inquiry learning. Journal of Physics: Conference Series, 1157(3), 32085.

Hidayat, W, Noto, M. S., & Sariningsih, R. (2019). The influence of adversity quotient on students’ mathematical understanding ability. Journal of Physics: Conference Series, 1157(3), 32077.

Hidayat, W, & Sariningsih, R. (2018). Kemampuan pemecahan masalah matematis dan adversity quotient siswa SMP melalui pembelajaran open ended. Jurnal JNPM (Jurnal Nasional Pendidikan Matematika), 2(1), 109–118.

Hidayat, W, Wahyudin, W., & Prabawanto, S. (2018). The mathematical argumentation ability and adversity quotient (AQ) of pre-service mathematics teacher. Journal on Mathematics Education, 9(2), 239–248.

Jacobse, A. E., & Harskamp, E. G. (2012). Towards efficient measurement of metacognition in mathematical problem solving. Metacognition and Learning, 7(2), 133-149.

Jurnaidi, J., & Zulkardi, Z. (2014). Pengembangan soal model PISA pada konten change and relationship untuk mengetahui kemampuan penalaran matematis siswa sekolah menengah pertama. Jurnal Pendidikan Matematika, 8(1), 25-42.

Kimberlin, C. L., & Winterstein, A. G. (2008). Validity and reliability of measurement instruments used in research. American Journal of Health-System Pharmacy, 65(23), 2276–2284.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. NCTM.

Nguyễn, T. M. T., & Nguyễn, T. T. L. (2017). Influence of explicit higher-order thinking skills instruction on students’ learning of linguistics. Thinking Skills and Creativity, 16, 113-127.

Onwuegbuzie, A. J., Bustamante, R. M., & Nelson, J. A. (2010). Mixed research as a tool for developing quantitative instruments. Journal of Mixed Methods Research, 4(1), 56-78.

Pardimin, & Widodo, S. A. (2016). Increasing skills of student in junior high school to problem solving in geometry with guided. Journal of Education and Learning, 10(4), 390–395.

Pardimin, Widodo, S. A., & Purwaningsih, E. (2018). Analisis butir soal tes pemecahan masalah matematika. Wacana Akademika: Majalah Ilmiah Kependidikan, 1(1), 69–76.

Polya, G. (2004). How to solve it: A new aspect of mathematical method (Second). New Jersey: Princeton university press.

Reeves, T. D., & Marbach-Ad, G. (2016). Contemporary test validity in theory and practice: A primer for discipline-based education researchers. CBE Life Sciences Education, 15(1).

Rohaeti, E. E., Nurjaman, A., Sari, I. P., Bernard, M., & Hidayat, W. (2019). Developing didactic design in triangle and rectangular toward students mathematical creative thinking through visual basic for powerpoint. Journal of Physics: Conference Series, 1157(4), 42068.

Silva, E. Y., Zulkardi, Z., & Darmawijoyo, D. (2013). Pengembangan soal matematika model PISA pada konten uncertainty untuk mengukur kemampuan pemecahan masalah matematika siswa sekolah menengah pertama. Jurnal Pendidikan Matematika, 5(1).

Taherdoost, H. (2016). Validity and reliability of the research instrument; how to test the validation of a questionnaire/survey in a research. How to Test the Validation of a Questionnaire/Survey in a Research (August 10, 2016).

Tanujaya, B., Mumu, J., & Margono, G. (2017). The relationship between higher order thinking skills and academic performance of student in mathematics instruction. International Education Studies, 10(11), 78-85.

Thiagarajan, S., Semmel, D. S., & Semmel, M. I. (1974). Instructional development for training teachers of exceptional children: A sourcebook (Issue Mc). Indiana: Center for Innovation in Teaching the Handicappe, Indiana University.

Widana, I. W., Adi, S., Herdiyanto, Abdi, J., Marsito, & Istiqomah. (2019). Modul penyusunan soal ketrampilan berpikir tingkat tinggi (High Order Thinking Skills): Matematika. Jakarta: Kemendikbud.

Widodo, S. A. (2014). Error analysis of guardians student in understanding the problem of divergence. Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014, May, 18–20.

Widodo, S. A. (2015). Keefektivan team accelerated instruction terhadap kemampuan pemecahan masalah dan prestasi belajar matematika siswa kelas VIII. Kreano, Jurnal Matematika Kreatif-Inovatif, 6(2), 127-134.

Widodo, S. A., Purnami, A. S., & Prahmana, R. C. I. (2017). Team accelerated instruction, initials and problem-solves ability in junior high school. International Journal on Emerging Mathematics Education, 1(2), 193-204.

Widodo, S. A., & Turmudi. (2017). Guardian student thinking process in resolving issues divergence. Journal of Education and Learning, 11(4), 431–437.

Widodo, S. A., Turmudi, T., & Dahlan, J. A. (2019). An error students in mathematical problems solves based on cognitive development. International Journal Of Scientific & Technology Research, 8(07), 433–439.

Wotruba, T. R., & Wright, P. L. (1975). How to develop a teacher-rating instrument: A research approach. The Journal of Higher Education.



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