scholarly journals Kemampuan Pemecahan Masalah Mahasiswa pada Kalkulus Integral Dilihat dari Keyakinan dan Pengetahuan Awal Matematis

Jurnal Elemen ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 117-129
Author(s):  
Robert Harry Soesanto ◽  
◽  
Kurnia Putri Sepdikasari Dirgantoro ◽  
Keyword(s):  
Problem Solving ◽  
Prior Knowledge ◽  
Mathematical Beliefs ◽  
Moderator Variable ◽  
Study Program ◽  
Problem Solving Skills ◽  
Logical Consistency ◽  
Ex Post ◽  
Knowledge Group ◽  
And Mathematics

Integral calculus is a course where students tend to have difficulties in problem-solving. This study examines differences in mathematical beliefs in students' problem-solving skills based on mathematics prior knowledge. This study's subjects were 120 students of the Mathematics Education study program from UPH Faculty of Education. The independent variable is mathematical beliefs, the moderator variable is prior mathematics knowledge, and the dependent variable is students' problem-solving skills. This study is an ex post facto quantitative research with instruments in a Likert scale questionnaire for mathematical beliefs, problem-solving, and mathematics prior knowledge test scores. Hypotheses were tested statistically with a two-way Anova test using SPSS 16.0. The results of the study were: (1) students' problem-solving of logical consistency beliefs is higher than memorized and procedural beliefs, (2) there is an interaction between mathematical beliefs and mathematics prior knowledge on problem-solving, (3) students' problem-solving in high mathematics prior knowledge group of logical consistency beliefs is higher than memorized, and procedural beliefs, and (4) students' problem-solving in low mathematics prior knowledge group of logical consistency beliefs is lower than memorized and procedural beliefs.

scholarly journals KEYAKINAN MATEMATIS DAN KEMANDIRIAN BELAJAR MAHASISWA PADA PROGRAM STUDI PENDIDIKAN MATEMATIKA [MATHEMATICAL BELIEFS AND THE SELF-REGULATED LEARNING OF STUDENTS IN A MATHEMATICS EDUCATION STUDY PROGRAM]

2020 ◽  
Vol 4 (1) ◽  
pp. 31
Author(s):  
Robert Harry Soesanto ◽  
Wardani Rahayu ◽  
Kartono Kartono
Keyword(s):  
Prior Knowledge ◽  
Mathematical Beliefs ◽  
Integral Calculus ◽  
Study Program ◽  
Logical Consistency ◽  
Self Regulated Learning ◽  
Ex Post ◽  
Education Study ◽  
Regulated Learning ◽  
Ex Post Facto

<p>In general, integral calculus courses are difficult for students because the problems involved require strong problem-solving skills. For university students, integral calculus courses also require them to do self-regulated, or independent, learning. Another aspect that makes learning difficult for these students is their mathematical beliefs and prior knowledge. This study aims to see how different types of mathematical beliefs affect self-regulated learning in terms of students' prior knowledge. This research was conducted on students in a mathematics education study program at a private university in Tangerang with a sample of 120 students. This research is an ex post facto quantitative study using a two factorial design. The variables in this study consisted of independent variables in the form of mathematical beliefs, the moderator variable in the form of students’ prior knowledge, and the dependent variable in the form of self-regulated learning. The results obtained are: (1) self-regulated learning by students with logical consistency mathematical beliefs is higher than students with memorized and procedural beliefs, (2) there is an interaction between mathematical beliefs and prior knowledge towards self-regulated learning, (3) student in the high prior knowledge gorup logical consistency beliefs had higher self-regulated learning than students with memorized and procedural beliefs, and (4) self-regulated learning in the low mathematics prior knowledge group with logical consistency beliefs is lower than students with memorized and procedural beliefs.</p><p><strong>BAHASA INDONESIA ABSTRACT: </strong>Mata kuliah kalkulus integral pada umumnya masih menjadi kesulitan bagi mahasiswa karena permasalahan yang terkandung membutuhkan pemecahan masalah yang kuat. Kalkulus integral juga membutuhkan kemandirian belajar bagi mahasiswa yang mempelajarinya. Hal lain yang menjadi kesulitan mahasiswa adalah faktor keyakinan<em> </em>matematis dan pengetahuan awal matematis. Penelitian ini bertujuan untuk melihat perbedaan jenis keyakinan matematis terhadap kemandirian belajar mahasiswa ditinjau dari pengetahuan awal matematisnya. Penelitian ini dilakukan terhadap mahasiswa program studi pendidikan Matematika pada salah satu universitas swasta di Tangerang dengan sampel yang digunakan sebanyak 120 orang. Penelitian ini merupakan penelitian kuantitatif <em>ex post facto</em> dengan menggunakan desain dua faktorial. Variabel pada penelitian ini terdiri dari variabel bebas berupa keyakinan matematis, variabel moderator berupa pengetahuan awal matematis, dan variabel terikat berupa kemandirian belajar. Hasil penelitian yang didapatkan adalah: (1) mahasiswa dengan keyakinan<em> logical consistency</em> memiliki kemandirian belajar lebih tinggi daripada mahasiswa dengan keyakinan hafalan dan prosedural, (2) terdapat interaksi antara keyakinan<em> </em>matematis dan pengetahuan awal matematis (PAM) terhadap kemandirian belajar mahasiswa, (3) mahasiswa pada kelompok PAM tinggi dengan keyakinan<em> logical consistency</em> memiliki kemandirian belajar lebih tinggi daripada mahasiswa dengan keyakinan hafalan dan prosedural, dan (4) mahasiswa pada kelompok PAM rendah dengan keyakinan<em> logical consistency</em> memiliki kemandirian belajar lebih rendah daripada mahasiswa dengan keyakinan hafalan dan prosedural.</p>

scholarly journals Analysis of Rural-Based Pre-Service Teachers Spatial-Visualisation Skills in Problem Solving in Vector Calculus Using MATLAB

2021 ◽  
Vol 16 (10) ◽  
pp. 125
Author(s):  
Godfred Amevor ◽  
Anass Bayaga ◽  
Michael J. Bosse
Keyword(s):  
Problem Solving ◽  
South African ◽  
Mathematical Problem ◽  
Interdisciplinary Studies ◽  
Problem Solving Skills ◽  
Vector Calculus ◽  
Rural Settings ◽  
Second Year ◽  
And Mathematics ◽  
Method Approach

In science, technology, engineering and mathematics (STEM) for instance, interdisciplinary studies have noted positive correlation between spatial-visualization (SV skills) and mathematical problem solving. The majority of these studies sharing a link between SV skills and problem solving were contextualized in urban settings and only a few in rural settings. This investigation analyses how rural-based pre-service teachers apply their SV skills in problem-solving in a South African university, in the context of vector calculus. One hundred rural-based pre-service teachers in a second year vector calculus class at University of Zululand (UNIZULU) were randomly selected into control and experimental groups. MATLAB was used as a dynamic visual tool to analyse how research participants applied their SV skills. A mixed method approach was employed in data collection (quantitative and qualitative). Our findings revealed that the rural-based pre-service teachers’ SV skills correlate with their problem-solving skills in vector calculus.

scholarly journals ENHANCING CREATIVITY AND PROBLEM SOLVING SKILLS THROUGH CREATIVE PROBLEM SOLVING IN TEACHING MATHEMATICS

2020 ◽  
Vol 13 (2) ◽  
pp. 270-291 ◽  
Author(s):  
Madihah Khalid ◽  
Supiah Saad ◽  
Siti Rafiah Abdul Hamid ◽  
Muhammad Ridhuan Abdullah ◽  
Hasniza Ibrahim ◽  
...  
Keyword(s):  
Problem Solving ◽  
Quantitative Data ◽  
Creative Thinking ◽  
Creative Problem Solving ◽  
Problem Solving Skills ◽  
Science Technology ◽  
Comparison Groups ◽  
Quasi Experimental ◽  
Creative Problem ◽  
And Mathematics

In recent years, calls to nurture and teach creativity from an early age in schools has intensified. Creativity is something regular in the teaching of arts subjects but is not a common feature in teaching science, technology, engineering and mathematics subjects. However, what really matters, is how the subject is being taught. This research aimed to foster creativity through the teaching of mathematics via problem solving that challenges the solving of problems in a creative manner, which is defined as creative problem solving. This quasi-experimental study investigates changes in students learning of mathematics via creative problem solving. Altogether, 172 Form 1 students forming treatment and comparison groups from four schools in Gombak District area, Malaysia were involved. A mixed qualitative and quantitative data were collected to investigate the effect of the 3 cycles of creative problem solving lessons implemented. Instruments used were Torrance Test of Creative Thinking, a mathematics problem solving test and creativity checklist. This paper will only present the quantitative data obtained. Results show statistically significant increases in scores for most categories of creativity and problem solving tests. This research brought together teachers and researchers in trialling creative problem solving to teach mathematics, to achieve the enhancement of students’ creative thinking and problem solving skills. This coincided with the introduction of Kurikulum Standard Sekolah Menengah with new emphasis to strengthen the quality of science, technology, engineering and mathematics education in general, where higher-order thinking reforms are emphasized.

PjBL-Based Blended Learning Implementation on Energy Topic to Improve the Problem-Solving Skill

2021 ◽  
Vol 1 (1) ◽  
pp. 32-41
Author(s):  
Mega Gestira ◽  
Abdurrahman ◽  
Viyanti
Keyword(s):  
Problem Solving ◽  
Blended Learning ◽  
Learning Process ◽  
Learning Strategy ◽  
T Test ◽  
Problem Solving Skills ◽  
Paired Sample ◽  
New Strategy ◽  
Face To Face Learning ◽  
And Mathematics

Blended learning is a new strategy or way in the learning process. Besides face-to-face learning, the learning process should also be carried out in an online manner. Online learning could facilitate teachers and learners to learn anywhere and anytime. It is an appropriate learning strategy and supported by a learning model that could integrate various science disciplines, such as science, technology, engineering, and mathematics. This research aims to describe the improvement of problem-solving skills on energy via blended learning-based PjBL STEM. Each syntax of the learning consists of five-stage. They are problem solving,  focus the problem, describe the problem in physics description, plan a solution, execute the plan, and evaluate the solution. This research applied an experimental research design with pre-experimental (one group pretest-posttest design). The sample consisted of thirty-five Al-Azhar Islamic SHS 3 Bandar Lampung at X Science 1. The instrument was a problem-solving skill test in the form of an essay. The test results were analyzed with paired sample t-test. Based on the promoted research, the N-gain of experimental group learning outcome was 0.43, categorized moderate. The paired sample t-test hypothesis result obtained the Asymp. Sig (2-tailed) ≤0,05 is 0,00. It showed the improvement of problem-solving skills using the blended-learning-based PjBL STEM model.  

Problems Faced by Educators and Students in Teaching and Learning Engineering

2020 ◽  
pp. 1-26
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Research Study ◽  
Abstract Thinking ◽  
Problem Solving Skills ◽  
Fundamental Knowledge ◽  
And Mathematics

In this chapter, the author presents the problems faced by educators and students in teaching and learning engineering courses. In general, teaching of engineering courses are relatively challenging due to the nature of the courses that are perceived as “difficult courses” by a number of students. This course is built upon the strong fundamental knowledge in physics and mathematics. This course requires the students to have a strong abstract thinking, reasoning, and problem-solving skills. Due to this problem, a further research study (a continuation from previous study) was embarked at the National Energy University, which is also known as Universiti Tenaga Nasional (UNITEN), Malaysia. Selected lecturers and students were randomly selected and interviewed to find the reasons for this problem.

Teaching Analytical Instrumental Analysis to Undergraduates in Specialized Degree Programs with Heterogeneous Prior Knowledge: Reflections on Inquiry Based Lecture Activities

2018 ◽  
Vol 1 (2) ◽  
Author(s):  
Kirsten Tucker ◽  
Peter Pingerelli
Keyword(s):  
Problem Solving ◽  
Prior Knowledge ◽  
Instrumental Analysis ◽  
Forensic Sciences ◽  
Analytical Problem ◽  
Knowledge Gaps ◽  
Problem Solving Skills ◽  
Instructional Assistant ◽  
Scientific Narratives ◽  
Modern Instrumentation

An adjunct faculty member and graduate instructional assistant (GIA) introduced inquiry-based activities into a 20-student undergraduate analytical instrumental analysis (AIA) lecture course, and reflect on their teaching assumptions, practices and experiences. The increased need for interdisciplinary scientific programs now has an AIA course serving multiple Bachelor of Science degrees in environmental sciences, forensic sciences, molecular biology, and secondary science education. However, we learned degree specialization also introduces into a course, student populations possessing heterogeneous prior knowledge, making an instructor’s rendering of student prerequisite skills a greater challenge. Guided by a pretest assessment, instructional activities were modified or developed by the authors and aimed at enhancing student engagement and motivation to mitigate prior knowledge gaps, improve analytical problem-solving skills, and facilitate a deeper understanding of modern instrumentation design and function. Detailed activity rationale and descriptions are presented. Activities included using readily available Internet bioinformatics and database tools for analytical problem-solving; demonstrating principles of electronic hardware and software design and integration; and creating interdisciplinary scientific narratives using biological, environmental, and industrial molecular exemplars. Our teaching reflections reference weekly post-lecture instructor/GIA discussions, strategic student questioning, collaborative classroom activity observations, and formative assessments. We propose continual instructional reflection is essential for a course serving multiple specialized degrees programs in a scientific field and facilitates preparation for students entering the workforce or graduate school. Further, our observations suggest inquiry-based, real-world activities relevant to modern instrumentation and its applications, assisted students in resolving heterogeneous prior knowledge gaps.

scholarly journals The Effect of STEM-PjBL and Discovery Learning on Improving Students' Problem-Solving Skills of Impulse and Momentum Topic

2020 ◽  
Vol 9 (4) ◽  
pp. 465-476
Author(s):  
E. Purwaningsih ◽  
S. P. Sari ◽  
A. M. Sari ◽  
A. Suryadi
Keyword(s):  
Problem Solving ◽  
Project Based Learning ◽  
Discovery Learning ◽  
Control Group ◽  
Control Group Design ◽  
Problem Solving Skills ◽  
Comparison Class ◽  
Significant Difference ◽  
Before And After ◽  
And Mathematics

This study aims to investigate the effect of Science, Technology, Engineering, and Mathematics-Project Based Learning (STEM-PjBL) and discovery learning on students' problem-solving abilities. The research is a Quasi-Experiment with a Nonequivalent Pretest-Posttest Control Group Design. The participants involved are 53 students of class X from a high school in Malang, where 28 students studied with STEM-PjBL, and 25 students studied with discovery learning. This research was conducted on the subject of impulse and momentum. In this analysis, researchers have developed problem-solving tools with a particular field approach to impulse and momentum topics in order to obtain an instrument with a reliability of  0.81. This instrument collects student problem-solving data before and after learning both in the experimental class and in the comparison class. Problem-solving skills data were analyzed using descriptive statistics and inferential statistics. The results showed a significant difference in the scores of students' problem-solving abilities in the experimental class and the comparison class (p<0.05). The problem-solving ability in the experimental class (Md=78.74) was higher than the comparison class (Md=70.00). In STEM-PjBL learning, students are better trained and challenged to solve problems in everyday life. Compared to the comparison class, learning in the experimental class is more able to accommodate students' ideas and make students more interested in learning. In conclusion, STEM-PjBL has a significant positive effect on improving students' problem-solving abilities rather than discovery learning.

scholarly journals Buku Saku Digital Berbasis STEM: Pengembangan Media Pembelajaran terhadap Kemampuan Pemecahan Masalah

2021 ◽  
Vol 10 (3) ◽  
pp. 401-412
Author(s):  
Yuyun Anita ◽  
Andi Thahir ◽  
Komarudin Komarudin ◽  
Suherman Suherman ◽  
Novia Dwi Rahmawati
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Problem Solving Skills ◽  
Stage Of Development ◽  
Science Technology ◽  
Addie Model ◽  
And Mathematics ◽  
Quantitative Descriptive ◽  
Interesting Learning

AbstrakPembelajaran di abad 21 sangat memerlukan berbagai inovasi media pembelajaran yang dapat dijadikan sebagai alat bantu pendidik dalam melaksanakan kurikulum. Buku saku digital berbasis science, technology, engineering, and mathematics (STEM) bertujuan agar dapat dikembangkan menjadi media pembelajaran yang layak dan menarik terhadap kemampuan pemecahan masalah. Metode penelitian yang digunakan adalah Reseach and Depelovment (R&D) dengan menggunakan model ADDIE. Teknik analisis data menggunakan teknik deskriptif kualitatif serta kuantitatif. Proses uji coba dilakukan setelah validasi ahli materi dan ahli media yang menunjukkan bahwa buku saku berbasis STEM memiliki kriteria menarik untuk digunakan. Namun uji efektivitas media pembelajaran buku saku digital tidak dapat terlaksana disebabkan adanya pandemi covid-19 yang mengakibatkan kegiatan pembelajaran dilakukan secara daring atau online. Adanya kebijakan tersebut mengakibatkan penelitian ini hanya terlaksana sampai pada tahap development atau pengembangan. STEM-Based Digital Pocketbook: Development of Learning Media on Students' Mathematical Problem-Solving Skills AbstractThe 21st century needs a variety of learning media innovations that can be used as a device in implementing the curriculum. The goal of digital pocketbooks based on science, technology, engineering, and mathematics (STEM) is to develop into worthy and interesting learning media on mathematical problem-solving skills. The research method used Research and Development (R&D) using the ADDIE model. Data analysis techniques use qualitative and quantitative descriptive techniques. The process was conducted after validation of material experts and media experts who showed that STEM-based pocketbooks had interesting criteria to use. However, the effectiveness of digital pocketbook learning media cannot be carried out due to the covid-19 pandemic that resulted in learning activities being conducted online or online. The existence of this policy resulted in this research only being carried out to the stage of development or development.

scholarly journals Pengaruh Model Pembelajaran Learning Cycle 5E terhadap Kemampuan Pemecahan Masalah Matematika Ditinjau dari Adversity Quotient Siswa

2020 ◽  
Vol 7 (1) ◽  
pp. 32-44
Author(s):  
Abdul Ma'arif ◽  
Syaiful Syaiful ◽  
Muhammad Haris Effendi Hasibuan
Keyword(s):  
Problem Solving ◽  
Learning Cycle ◽  
Cycle Model ◽  
Problem Solving Skills ◽  
Mathematics Problem Solving ◽  
8Th Grade ◽  
Post Test ◽  
Quasi Experimental ◽  
And Mathematics ◽  
Mathematics Problem

Problem-solving skill is required by students and a target in studying mathematics. However, the problem-solving skill of Indonesian students are lacking. One effort that can be done is applying the Model of Learning Cycle 5E.  This research discussed the influence of the implementation of the learning cycle model on mathematics problem-solving skill viewed from students’ adversity quotient. This research used a quantitive approach, quasi-experimental study. The subjects were the 8th Grade students of SMP IT Ash-Shiddiiqi Jambi, consisting of two experiment classes and one control class. The instruments were post-test and adversity quotient questionnaire modified by Stoltz and had been validated by experts. Data analysis was conducted by Two-Way ANOVA. The results showed that there was no interaction between the learning cycle 5E model and mathematics problem-solving skill. This finding indicates that the model of learning cycle 5E affects problem-solving skills and can be applied to students with all types of adversity quotient.

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