Conceptual Understanding, Procedural Knowledge and Problem-Solving Skills in Mathematics: High School Graduates Work Analysis and Standpoints

2019 ◽  
Vol 7 (3) ◽  
pp. 258-273 ◽  
Author(s):  
Masooma Ali Al Mutawah ◽  
Ruby Thomas ◽  
Abdulla Eid ◽  
Enaz Yousef Mahmoud ◽  
Moosa Jaafar Fateel
EDUSAINS ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 188-195
Author(s):  
Mardiana Nata Ruron ◽  
Risya Pramana Situmorang ◽  
Susanti Pudji Hastuti

PENGEMBANGAN MEDIA GAME CROSSWORD PADA VIRUS MATERIALAbstractCrossword game media was a learning tool that serves features to understand the concept and solve a problem. The media provides many features that facilitate students to learn enjoyably. This study aims to develop a viable and effective product to improve students' problem-solving skills and conceptual understanding. The ADDIE model is used as a type of research and development. The subjects were students of X-grade senior high school in Salatiga. Data collection was carried out through observation, questionnaires, and tests. Media experts and material experts carried out the validation of products. Teachers were involved in giving feedback about the practicality of the media. The validation concluded that the product was feasibly based on the media aspect= 85,5% (feasible) and the material aspect = 81,25% (feasible). The product's development has improved problem-solving skills and conceptual understanding effectively that the t-test showed a significant value with acquisition sig. 2 tailed < 0,05. The results indicate that the crossword game was feasible and effective in improving problem-solving skills and conceptual understanding.AbstrakMedia crossword game merupakan salah satu media belajar siswa, menyediakan fitur untuk menjadikan siswa dapat memahami konsep dan memecahkan masalah. Crossword game menyediakan banyak fitur yang memudahkan siswa untuk belajar dengan menyenangkan. Penelitian ini bertujuan untuk mengembangkan produk yang layak dan efektif untuk meningkatkan keterampilan pemecahan masalah dan pemahaman konseptual siswa. Model ADDIE digunakan sebagai penelitian dan pengembangan. Subjek penelitian adalah siswa SMA kelas X di Salatiga. Pengumpulan data dilakukan melalui observasi, kuesioner, dan tes. Validasi produk melibatkan ahli media dan materi. Guru dilibatkan untuk memberikan umpan balik tentang kepraktisan media. Berdasarkan validasi, disimpulkan bahwa produk layak berdasarkan aspek media = 85,5% (layak) dan aspek material = 81,25% (layak). Pengembangan dari produk telah meningkatkan keterampilan pemecahan masalah dan pemahaman konseptual secara efektif sehingga berdasarkan uji-t menunjukkan nilai yang signifikan dengan perolehan sig. 2 tailed <0,05. Hasil menunjukkan bahwa media crossword game layak dan efektif dalam meningkatkan keterampilan pemecahan masalah dan pemahaman konseptual.  


2018 ◽  
Vol 54 (4) ◽  
pp. 212-218
Author(s):  
Gloria A. Carcoba Falomir

Algebra is considered an important high school course because it is recognized as the gateway to higher mathematics, college opportunities, and well-paying jobs. In the United States, most secondary schools require students to be proficient in algebra to be able to graduate from high school. One major component of algebra is word problem solving, which is used in algebra courses to teach students mathematical modeling and applied problem-solving skills. However, word problem solving is often a significantly challenging area for students with learning disabilities because it involves computing mathematical equations and implementing a myriad of cognitive processes that require conceptual knowledge. Diagrams are considered an effective and powerful visualization strategy because they help students see the hidden mathematical structure of the problem. The use of diagrams is recommended as students work toward more complex math concepts in middle school and high school.


2018 ◽  
Vol 5 (1) ◽  
pp. 73
Author(s):  
Hanifa Prahastami Pambayun ◽  
Endah Retnowati

Penelitian ini bertujuan untuk menghasilkan dan mendeskripsikan pengembangan bahan ajar pengayaan trigonometri SMA menggunakan teknik faded examples yang berkualitas untuk meningkatkan kemampuan pemecahan masalah siswa. Kualitas bahan ajar yang dikembangkan mencakup aspek kevalidan, keefektifan, dan kepraktisan. Penelitian ini merupakan penelitian pengembangan dengan model Plomp yang mencakup tiga tahapan. (1) penelitian awal mencakup analisis kebutuhan dan analisis konteks, (2) pengembangan yang mencakup desain produk dan pembuatan produk, dan (3) evaluasi yang meliputi proses validasi dan proses implementasi. Proses pengembangan melibatkan dua ahli, satu orang guru dan 50 siswa (siswa kelas X pengayaan 1 dan X pengayaan 2) SMA IPA di Mataram. Hasil dari penelitian ini adalah bahan ajar pengayaan berupa buku guru dan buku siswa yang dikembangkan dengan menerapkan teknik faded examples. Pada buku pengayaan terdapat paket faded examples dengan jenis backward dan forward fading dimana pada akhir paket, siswa diminta untuk membuat sendiri soal sesuai dengan materi yang sedang dipelajari. Teknik ini dikembangkan oleh teori desain pembelajaran bernama Cognitive Load Theory (CLT). Hasil penelitian menunjukkan bahwa bahan ajar ini layak digunakan karena dinilai sangat baik secara isi dan penyajian oleh dosen validator, praktis oleh guru matematika dan praktis digunakan oleh siswa. Hasil ketuntasan belajar adalah sebanyak  100% siswa mencapai nilai minimal kemampuan pemecahan masalah. The application of faded examples techniques to improve student’s problem solving ability on trigonometry at high school level AbstractThis study was aimed to produce and describe the quality of the developed Trigonometric Senior High School Science Program Enrichment’s Instructional Materials using Faded-Examples Techniques to Improve Problem Solving Ability. The quality of the developed teaching materials include all aspects of validity, effectiveness, and practicality. This was a developmental research used three phases Plomp’s model which consists of: (1) preliminary studies which involved the needs and context analysis, (2) product design development, and (3) the evaluation process of product validation and implementation. The development process involves two experts as validator, one teacher, and 50 students (X pengayaan 1 and X pengayaan 2). The study results the trigonometric enrichment’s teaching materials which consists of the teacher’s textbook and the student’s textbook that was developed using the faded-examples technique. This technique based on The Cognitive Load Theory (CLT) instructional design. The results of the study showed that the quality of the developed trigonometric enrichment’s teaching materials is “very good” according to lecturer validation and “practical” according to the evaluation from the teachers and students. The results of the learning showed that 100% of the students passed the minimum grade criteria of problem solving skills.


Author(s):  
Pawan Tyagi ◽  
Christine Newman

Preparing high school students for engineering disciplines is crucial for sustainable scientific and technological developments in the USA. This paper discusses a pre-college program, which not only exposes students to various engineering disciplines but also enables them to consider engineering as the profession. The four-week long &ldquo;Engineering Innovation (EI)&rdquo; course is offered every year to high school students by the center of outreach, Johns Hopkins University. EI program is designed to develop problem-solving skills through extensive hands-on engineering experiments. A team consisting of an instructor, generally a PhD in Engineering, and a teaching fellow, generally a high school science teacher, closely work with students to pedagogically inculcate basics of core engineering disciplines such as civil, mechanical, electrical, materials, and chemical engineering. EI values independent problem-solving skills and simultaneously promote the team spirit among students. A number of crucial engineering aspects such as professional ethics, communications, technical writing, and understanding of common engineering principles are inculcated among high school students via well-designed individual and group activities. This paper discusses the model of EI program and its impact on students learning and their preparation for the engineering career.


2021 ◽  
Vol 2 (1) ◽  
pp. 42-53
Author(s):  
Dyah Ayu Setyarini ◽  
Zainal Arifin Imam Supardi ◽  
Elok Sudibyo

This research aims to improve senior high school students’ physics problem-solving skills through learning used IBMR learning model. This research was a pre-an experimental study with a one-group pre-test and post-test design. The Methods of data collection used validation and test. The materials used to teach were valid category by two experts and can be used to practice physics problem-solving skills. The average post-test score physics problem-solving ability was 73.24 with an N-gain of 0.59 was classified as moderate. The success of IBMR learning model-based devices in practicing problem-solving abilities can be seen in the increase in the average score in each indicator of problem-solving abilities. The indicator of understanding the problem had the highest post-test average score of 94.58 with an N-gain of 0.89 in the high category. The problem-solving indicator had the lowest posttest average score was 58.22 with N-gain 0.39 and mean that it was the moderate category. Based on the results study, it can be concluded that the learning used by IBMR learning model can practice the ability to solve physics problems on heat material and its displacement. Learning with the IBMR learning model was expected to train students in solving physics problems. The stages in the IBMR learning model can help students


Author(s):  
Ariana-Stanca Vacaretu

Mathematics is or it should be about problem solving and math thinking. However, what mathematics students learn in schools is more about procedures for solving different types of math exercises and problems. In many cases, students learn by heart algorithms and words (math concepts) and use them for solving different math tasks. School math is very far from what mathematicians do and, in many cases, doesn’t motivate students for learning math. This paper presents the way we organized the assessment of the students’ skills developed through math research workshops and some of the assessment results. Even though we didn’t assess all the competences the students develop through the math research workshop, the findings show that the students certainly develop their problem-solving skills.


2016 ◽  
Vol 6 (3) ◽  
pp. 32 ◽  
Author(s):  
Nahil M. Aljaberi ◽  
Eman Gheith

<p>This study aims to investigate the ability of pre-service class teacher at University of Petrain solving mathematical problems using Polya’s Techniques, their level of problem solving skills in daily-life issues. The study also investigates the correlation between their ability to solve mathematical problems and their level of problem solving skills in daily-life issues. The study sample consisted of 65 female students majoring in class teacher. Data were collected using two questionnaires: the mathematical problem solving test which was developed by the researchers and daily life problem solving scale which was developed by (Hamdi, 1998). The findings indicate that students had high level skills in solving daily problems; there are no statistically significant differences in daily problem solving in relation to their academic year or high-school stream. Conversely, the findings also indicate weaknesses in students’ skills in solving mathematical problems, with no statistically significant differences among students in solving mathematical problems according to Polya’s problem solving steps. However, there were statistically significant differences in students’ performance in solving mathematical problems in relation to the mathematical topic, and in favor of measurements and algebra; in addition to statistically significant differences in students’ ability to solve mathematical problems in relation to academic year and high-school stream, but no correlation between students’ abilities in solving mathematical problems and those in solving daily problems.</p>


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