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All Journal Jurnal Elemen M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika
Hary Nurprio Utomo
Universitas PGRI Semarang
Education Mathematics Other

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Enhancing vocational students’ mathematical problem-solving through contextual teaching factory learning Muhtarom Muhtarom; Hary Nurprio Utomo; Ida Dwijayanti
Jurnal Elemen Vol 12 No 2 (2026): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i2.31809

Abstract

The discrepancy between classroom mathematics and the demands of the Business and Industrial World often results in less-than-ideal problem-solving ability for vocational high school students. To meet this challenge, learning methods that link mathematics to real-world work contexts are needed. The purpose of this study is to investigate the effectiveness of integrating the Teaching Factory (TeFa) model with a contextual learning approach in teaching relations and functions. A quantitative quasi-experimental method with the pre-test–post-test control group design was employed. The sample was 46 eleventh-grade pharmacy students at Muhammadiyah Al Manaar Vocational High School, Pemalang, selected through purposive sampling and divided equally into experimental and control groups. Data were collected using a validated mathematical problem-solving instrument and analysed using an independent samples t-test. Post-test performances differed significantly between the two groups (p < 0.05). The experimental group gained a moderate improvement with an N-gain score of 0.42. Moreover, the Cohen’s d value of 0.81 indicated a large effect of the TeFa model compared with conventional instruction.  These findings indicate that the integration of TeFa and contextual learning is effective to improve students’ mathematical problem-solving abilities while reinforcing the relevance of mathematics learning to real industrial workplace contexts in vocational education.
Design Of A Mathematics Test Instrument Based On Pharmacy Vocational Training With Rasch Model Analysis On Students' Mathematical Problem-Solving Ability Hary Nurprio Utomo; Muhtarom Muhtarom; Ida Dwijayanti
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 3 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i3.867

Abstract

This research aims to measure students' mathematical problem-solving abilities using a pharmacy-based vocational mathematics test instrument with Rasch model analysis. The development model in this research is 4D design by Thiagarajan, which includes the stages: define, design, development, and disseminate, but in this study, it is limited to the Development stage. Respondent data from 30 students with a total of 5 questions yielded results indicating that the expert validity of all five questions is very good. The reliability of test items and students was analyzed, revealing weak reliability for students and sufficient reliability for the questions; and the reliability of the interaction between individuals or students with the overall test items falls into the weak category. The overall difficulty level of the questions falls into the fairly good category, which includes items that are neither too difficult nor too easy, specifically in the moderate, easy, and difficult categories. In conclusion, the analysis of the pharmacy vocational-based mathematics test instrument using the Rasch model analysis is declared valid, reliable, and has a good level of difficulty.
Co-Authors Ida Dwijayanti Muhtarom