Multiple Problem-Solving Strategies Provide Insight into Students’ Understanding of Open-Ended Linear Programming Problems

Abstract

Open-ended questions that can be solved using different strategies help students learn and integrate content, and provide teachers with greater insights into students' unique capabilities and levels of understanding. This article provides a problem that was modified to allow for multiple approaches. Students tended to employ high-powered, complex, familiar solution strategies rather than simpler, more intuitive strategies, which suggests that students might need more experience working with informal solution methods. During the semester, by incorporating open-ended questions, I gained valuable feedback, was able to better model realworld problems, challenge students with different abilities, and strengthen students' problem solving skills.Word Count: 99

Systematic Literature Review: How students learn linear programming with realistic mathematics education?

“…Completion of linear programming graphs provides learners with intuitive visual aids to facilitate understanding of concepts such as feasible region, feasible basic solution, infinite solution (Fernandes & Pereira, 2018). According to Sole (2016) the benefits of using open ended questions on linear programming problems, namely (1) students are able to model real world problems better, (2) challenge students with different abilities, and (3) strengthen skills student problem solving.…”

Analisis Kemampuan Penalaran Matematis Peserta Didik dengan Penyajian Masalah Open-Ended Pada Pembelajaran Daring

“…Dalam memberikan masalah open-ended kepada peserta didik memiliki banyak manfaat. Karena jenis pertanyaan dalam masalah open-ended akan diselesaikan dengan pendekatan yang berbeda dan memberikan kesempatan untuk lebih kreatif dalam memberikan tanggapan (Sole, 2016). Hal ini sejalan dengan pendapat (Imai, 2000) yang mengatakan bahwa dalam pemberian soal open-ended akan meningkatkan kreativitas peserta didik dalam matematika.…”

Who Can Excel in Mathematics?

“…Still others may have difficulty processing information quickly. Open-ended questions can be a valuable tool for use in classes with students having a wide range of abilities (Sole 2016;Kabiri and Smith 2003). Open-ended questions offer students the opportunity to employ the strategy that they understand best (Sole 2018).…”