Mathematical Problem Solving Research Articles

Application of Problem Solving Learning Model on Row and Series Material at SMK Panca Budi

Effective teaching-learning activities are also supported by several aspects such as teaching methods, teaching strategies, learning models , and so on. In this study, we know the extent of the effectiveness of problem-solving learning compared to ordinary learning. Based on the research conducted, the results obtained that concluded the Problem-Solving learning mode proved effective in improving students' mathematical problem-solving abilities. Data analysis for this study used a t-test in this case obtained an average difference from the experimental class group given treatment using Problem-Solving learning and non-problem Solving class groups. The calculation results obtained a t count value (th) of 2.824 for the experimental class and 2.819 for the control class, with the table t value for db 68 sig 5% If consulted in the t table obtained 1.990 then based on the t-test criteria it can be concluded that the t value Count more than t table with GIS greater than SIG alpha by 5%, it can be concluded that count t > t table can be decided to test the hypothesis I that null hypothesis is rejected and alternative hypothethetics are accepted, in this case, there is a significant difference between students' mathematical problem-solving ability between the group of students taught using the Problem-Solving method and the group of students taught without using the Problem-Solving model.

Kesalahan Siswa Dalam Menyelesaikan Soal Cerita: Suatu Analisis Berdasarkan Prosedur Newman Pada Materi SPLDV

This research aims to analyze students' errors in solving mathematics problems on Systems of Linear Equations in Two Variables according to the Newman procedure. This research was conducted in class VIIIA of St. Catholic Middle School. Johanis Laikit. This type of research uses descriptive qualitative. The methods used in collecting data were written tests and interviews. The written test was given to class VIIIA students, totaling 18 students as subjects, the test questions consisted of 3 essay questions. Based on the test results, 5 students were selected based on different mistakes to be interviewed. The research results showed that from the 3 questions given, the majority of students made mistakes in answering SPLDV story questions using the Newman procedure as shown in the test results, namely errors in writing the final answer with a percentage of 74.07%, process skills errors with a percentage of 66.66%. , transformation errors with a percentage of 48.14%, understanding errors 35.18%, and reading errors 25.92%.

Improving the Mathematical Problem-Solving Ability of Junior High School Students through Two Stay Two Stray Learning Based on a scientific learning approach on Cube and Block Material

Education is the initial foundation for humans to be able to walk in this life. Since the beginning of human creation, education has become a part of life to be able to adapt to the environment, this pre-experimental research with a one group pretest-posstest research design, the population in this study is all grade VIII students of SMP Negeri 7 Ternate City. The sample of this study was class VIII-i students consisting of 20 students. The data collection of this study used a mathematical problem-solving ability test instrument in the form of an essay. The data were analyzed using descriptive statistics, namely the Benchmark Reference Guidelines (PAP) based on the category of students' mathematical problem-solving ability and normalized N-Gain calculations and inferential statistics using the t-Test for abnormal distribution data. The results showed that: the mathematical problem solving ability of grade VIII-i students of SMP Negeri 7 Ternate City. the application of the Two Stay Two Stray learning model Based on the Scientific Learning Approach can significantly improve students' mathematical problem solving skills on cube and block material.

THE EFFECT OF LEARNING MOTIVATION TOWARDS STUDENTS’ MATHEMATICS PROBLEM-SOLVING ABILITY: META-ANALYSIS CORRELATIONAL STUDY

Studies emphasize that learning motivation is one of the primary elements that affect the achievement of learning objectives and at the same time, influences the skill of mathematical problem-solving. Research on the correlation between mathematical problem-solving and learning motivation despite numerous attempts at solutions, the correlation value is heterogeneous, making it inconsistent. This study aims to summarize the effect-size values obtained based on the main research through the correlation meta-analysis method. The literature data collection technique used the Google Scholar database which was selected using the inclusion criteria. Primary studies that fit the criteria consisted of 20 studies published in journals, proceedings, and theses from 2016 to 2022. Three steps of data analysis, including publication bias research, random or fixed effect models, and statistical hypothesis testing, were conducted using the Jeffreys Amazing Statistics Program (JASP) program. The results of the study show that there is a positive influence of learning motivation on students' mathematical problem-solving abilities at the elementary, middle, and high school levels in Indonesia in the moderate category (r = 0,56; p < 0,01). The results of this study suggest educators to further optimize students' learning motivation because learning motivation influences the level of students' mathematical problem-solving ability. Keywords: Learning motivation, mathematical problem-solving, problem-solving, meta-analysis

ANALISIS PEMECAHAN MASALAH MATEMATIKA PADA SISWA TIPE VISUAL BERBASIS REALISTIC MATHEMATICS EDUCATION (RME) DI KELAS VIII SMP N 2 KOTA JAMBI

In spite of using the appropriate learning approaches, there were factors that influenced to the successful in learning, namely intelligence and learning styles. RME approach and learning styles that suitable to students’ characteristics were expected to enhance students’ understanding in solving mathematical problem, which eventually leads on increasing students’ achievement. This research aimed to describe and analyse the process of students' problem solving on the type of visual-based learning RME. This study was qualitative research that used descriptive qualitative method. The research was conducted at class VIII of SMP N 2 Jambi. Subjects consisted of three students who have a visual type learning outcomes of high, medium, and low. The process of solving the problem of the study revealed through observations, interviews and task sheets based on mathematical problem solving. The data were analysed based on indicators of mathematical problem solving by Polya and noted the characteristics of the critical thinking process which included steps: (1) identification of the problem and the relevant information, (2) explored the interpretations and connections, (3) alternative prioritize and communicated the conclusions, and (4) integrated, monitored, and refined strategies for re-handling the problems. The results showed that subject of SVT and SVS could solve the issue properly, the process of solving the second problem showed in step; (1) and (2) the steps to understand the problems, arranged the problem-solving plan, implemented the plan of problem solving, and rechecked the results of problem solving. (3) the steps to understand the problems, arranged and did problem solving plan. (4) Implemented a plan and rechecked the results of problem solving. While SVR could not solve the problems correctly in step (3) and (4) in steps implemented plans and rechecked the results of problem solving. Keyword : Mathematical Problem Solving, Student Visual Mode, Realistic Mathematics Education (RME).

Students' ‘Looking Back’ in Solving Algebraic Word Problems

Solving mathematics problems is a complex cognitive process that involves a series of steps. These steps typically include understanding the problem, devising a plan, carrying out the plan, and looking back (checking the solution). While each of these steps is crucial, the ‘looking back’ step has not received much attention in mathematics education research. This study investigated Grade 10 mathematics students’ looking back in solving algebraic word problems in Namibia. The study followed a qualitative approach. The sample of the study was 351 Grade 10 students from ten secondary schools in the Ohangwena Region in Namibia. Data was collected using the Algebra Word problem-solving Achievement Test and Interview. The results show that, in general, the students did not look back on their solutions to the algebraic word problem. While some students indicated that looking back necessitates the consolidation of their work, others said looking back on their solutions could be time-wasting and confusing. These findings point to the need for mathematics teachers in Namibia to incorporate and model the looking-back step of mathematical problem-solving in their mathematics teaching.

Analisis Kemampuan Representasi Matematis Siswa dalam Menyelesaikan Soal Matematika Ditinjau dari Tipe Kepribadian Florence Littauer

This research purpose to describe students' mathematical representation abilities in solving mathematics problems in terms of Florence Littauer's personality type. This type of research is descriptive qualitative with the research subjects being class VIII students at SMPN 2 Sukodadi, totaling 8 students. This research uses technical triangulation, a Florence Littauer questionnaire to determine students' personality types and tests used to determine students' mathematical representation abilities. The results of this research show that students with a sanguine personality with high ability can complete visual and symbolic representations, students with moderate ability are less able to complete verbal representations, and students with moderate ability are less able to complete all indicators of mathematical representation ability. Choleric personality students with medium ability are less able to complete visual and symbolic representation indicators, low ability students are not able to complete verbal representations, and students with low ability are not able to complete all indicators of mathematical representation ability. Melancholic personality students with high abilities can complete all mathematical representation abilities. Phlegmatic personality students with low abilities have not been able to complete all mathematical representation skills

Problem solving in mathematics education: tracing its foundations and current research-practice trends

In tracing recent research trends and directions in mathematical problem-solving, it is argued that advances in mathematics practices occur and take place around two intertwined activities, mathematics problem formulation and ways to approach and solve those problems. In this context, a problematizing principle emerges as central activity to organize mathematics curriculum proposals and ways to structure problem-solving learning environments. Subjects’ use of concrete, abstract, symbolic, or digital tools not only influences the ways to pose and pursue mathematical problems; but also shapes the type of representation, exploration, and reasoning they engage to work and solve problems. Problem-solving foundations that privilege learners’ development of habits of mathematical practices that involve an inquiry method to formulate conjectures, to look for different ways to represent and approach problems, and to support and communicate results shed light on directions of current research trends and the relevance of rethinking curriculum proposals and extending problem-solving environments in terms of teachers/students’ consistent use of digital tools and online developments.

Relationship between teachers' assessments of non-cognitive skills and cognitive skills in junior high school mathematics

The assessment of non-cognitive skills and the relationship between non-cognitive skills and cognitive skills have been studied using an interdisciplinary framework; however, this has not resulted in learning or teaching improvements. This study focused on teachers’ observational assessment of non-cognitive skills specific to junior high school mathematics. Questionnaire surveys were used and a factor analysis was conducted. Three factors were identified to assess non-cognitive skills specific to junior high school mathematics based on teachers’ observations: cooperation in mathematical problem-solving, spirit of inquiry in mathematical problem-solving, and composure in mathematical problem-solving. To analyze the relationship between each factor and the overall assessment of cognitive skills in junior high school mathematics, each factor's assessment was divided according to the stages of cognitive skills. A positive proportionality emerged between the assessment of the non-cognitive skills and cognitive skills. If these two assessments are treated independently, the findings suggest that teachers may have difficulty distinguishing between the assessments, both of which are specific to junior high school mathematics.

The Analysis of Mathematical Problem-solving Ability of Elementary School Teacher Candidate: Fraction Case

It is important for school students as well as elementary school teacher candidates to master mathematical problem-solving abilities. This study aims to analyze the mathematical problem-solving ability of elementary school teacher candidates on the concept of fractions based on Polya’s steps. This research uses a descriptive qualitative approach. The research participants were 12 students of elementary school teacher education program whose problem-solving abilities were assessed based on the topic of fractions for 60 minutes. The results of this study indicated that students were able to understand information related to the questions; (1) determine what had already been known and what was being asked completely. In addition, students were also able to understand the relationship between the information provided. It can therefore be said that students were able to understand the problem. (2) Most students were less able to develop a correct problem-solving plan. (3) Most students completed solutions based on incorrect strategies. (4) Students rarely re-checked the problem-solving. Based on the results of the interviews, they rarely solved the problem-solving questions. Thus, it can be concluded that the level of their mathematical problem-solving ability was still low. Keywords: elementary school teacher candidate, fraction case, mathematical problem solving ability

Mathematical Problem Solving Through Mobile Learning Development Based on Assemblr Edu

Assemblr EDU based on mobile learning as a learning resource can be accessed anytime and anywhere. However, the utilization of these learning resources has not been optimal, so it has an impact on the quality of mathematical problem–solving abilities that need to be improved. The purpose of this research is the development of teaching materials through mobile learning based on EDU Assemblr. The method used is the development of the ADDIE model. Collecting data through observation techniques, interviews, studies from linguists, media design experts, content experts, tests, and questionnaires. The implementation phase of the trial has been carried out on students of class XI MIPA 7 State Senior High School in Bandung, Indonesia. In data analysis, the problem–solving ability test was analyzed quantitatively, and the questionnaire was analyzed qualitatively. The development of mobile learning based on Assemblr EDU received proper criteria from experts. The level of effectiveness and practicality of teaching material products is categorized as sufficient, so that it gets a good attitude from teachers and students. The development of mobile learning based on EDU assemblr as a learning resource facilitates the process of concept construction, interaction, and reflection so that there is an increase in students’ mathematical problem-solving abilities. Keywords: mathematical, problem solving, mobile learning, assemblr edu

Students' Adaptive Reasoning in Solving Pythagoras Theorem Problems Viewed by Gender

Adaptive reasoning is one of the mathematical proficiency strands that refers to the capacity to reflect, explain, justify, and think logically about concepts and situations. It helps student construct their idea in solving mathematics problems. On the other hand, students’ adaptive reasoning still needs to be developed. This is a qualitative study with a case study design. This study was carried out to analyze students’ adaptive reasoning in solving Pythagoras Theorem problems based on gender. There were 31 student participants, of which 14 were males and 17 females. They were the second grade of senior high schools in South of Aceh. There were several steps involved in conducting this study, such as formulating and validating the problems, conducting the test, and interviewing. The problems were formulated based on the adaptive reasoning indicators and curriculum. They were then validated by two lecturers and a teacher. Furthermore, the test was carried out for 20 minutes for answering 4 problems. This study showed that female students were able to solve adaptive reasoning problems as compared to male students. Keywords: adaptive reasoning, gender, solving Pythagoras theorem problems

Redesigning and Evaluating a Science Activity to Foster Mathematical Problem Solving

According to contemporary research, there exists an imbalance within the disciplines of Science, Technology, Engineering, and Mathematics (STEM), wherein certain subjects are lacking representation due to the neglect or omission of mathematical elements. The purpose of this study is to address this issue through the analysis of an established learning sequence that has been well-tested to promote mathematical skills. We adapted the selected biology-based learning sequence to foster mathematical problem solving and conducted it with a school class. The qualitative analysis of the recorded video footage of this adapted learning sequence revealed that the modified task effectively stimulated mathematical problem-solving skills. This successful adaptation demonstrates one approach through which mathematics can be strengthened and effectively utilized in STEM subjects.

Junior High School Students' Mathematics Problem-Solving Ability Using the Problem-Based Learning Model: A Systematic Review

Purpose: This study aims to examine the ability of junior high school students to solve mathematical problems through the application of the Problem-Based Learning (PBL) model. Methodology: The research method used in this study is a systematic literature review. Researchers searched for journal articles on junior high school students' mathematical problem-solving ability using the Problem-Based Learning model. The search was conducted through the Google Scholar database, and the Publish or Perish application was used. Findings: Based on the analyzed articles, it can be concluded that the Problem-Based Learning model improves students' mathematical problem-solving skills. This is supported by the increase in students' skills before and after implementation. Significance: This research is expected to serve as a reference for teachers and researchers interested in improving mathematical problem-solving skills using the Problem-Based Learning model.

Case study Based on Ogane's Problem-solving Process

In the 1980s, there were problems in the teaching of problem-solving in mathematics in the former Soviet Union, such as formulaic solutions and a lack of emphasis on teaching mathematical thinking. Therefore, Oganesian believes that in the traditional education system and in a large number of mathematical teaching practices, the role of mathematical exercises in developing students' mathematical level is limited. Mathematical exercises are difficult to test students' other aspects of mathematical development and ideological education factors. Introducing new teaching models is an urgent need for teaching mathematical problem-solving. Based on this, Oganesian proposed four steps for solving problems in his book "Teaching Methods for Primary and Secondary School Mathematics": understanding the problem conditions-developing a solution plan - implementing the solution plan - researching the obtained solutions. The article takes the "theorem for determining the perpendicularity of a straight line to a plane" in mathematics as an example, and analyzes its application based on the process of solving problems using the Oganesian method. By introducing mathematical problems into the Oganesian phase problem-solving process, gradually solving problems, delving into the vertical relationship between lines and planes, and analyzing their significance and role in practical applications. Assist students in cultivating thinking methods and problem-solving strategies for mathematical problem-solving systems, guide them to solve mathematical problems more deeply and accurately, enhance the problem-solving ability of mathematical learners, and optimize their thinking logic.

Core competency oriented problem-solving teaching ----Taking "Solving Application Problems with a System of Equations" as an Example

The teaching of Mathematical problem-solving is one of the three key teaching points in junior high school mathematics. Solving applied problems through equations (systems) is an important component of the first module of teaching content, "Numbers and Algebra", and holds a very important position. It is a key focus in junior high school mathematics problem-solving teaching. At present, under the premise of the implementation of the new curriculum reform in the field of mathematics in China, based on the recent publication of compulsory education curriculum standards,the teachers of mathematics should focus on cultivating excellent mathematical core literacy among junior high school students, and ensuring that they can independently cope with and solve problems in the math teaching of junior high school. Based on the above background, the author focuses on the newly published mathematics curriculum standards in 2022, and studies the teaching design of "solving application problems for systems of equations". In this paper, we explore the mathematical core literacy elements contained in the teaching of solving applied problems in equations, study the improvement path of mathematical problem-solving teaching, share the teaching design practice and thinking based on core literacy oriented problem-solving teaching, and the important role that this teaching design can play in cultivating students' core literacy .

Analisis Empat Fondasi Berpikir Komputasi dalam Penyelesaian Soal Matematika

This study aims to find out how students apply the four foundations of computational thinking in solving mathematics problems and whether students have applied computational thinking in solving mathematics problems. The research was conducted using an analytical approach to examine the results of solving mathematics problems. This approach involves collecting data from various sources, including tests, quizzes, or assignments given to research subjects. The collected data was then analyzed comprehensively to identify the use of four foundations of computational thinking in the process of solving mathematical problems. The results of this research are that students apply the four foundations of computational thinking. Decomposition by writing down what is known and looking for what is needed in the problem. Pattern recognition by understanding what is known and asking then using the right formula. Abstraction by writing formulas, ignoring what is not needed in the problem, and simplifying the answer. Algorithm by entering the required values into the formula then calculating them and solving the problem in the correct sequence of steps. Even though students make mistakes when solving mathematics problems, students can apply the four foundations of computational thinking.

Mathematics Anxiety among Architecture Students at Polytechnic Sultan Idris Shah: A Preliminary Study as An Attempt to Strengthen Mathematics Education in TVET Institution

Mathematics is the basis for numerous technical skills imparted in Technical and Vocational Education and Training (TVET) institutes. As one of the TVET institutions, Polytechnic recognizes the importance of mathematics courses in its curriculum. Engineering, computer science, architecture, and manufacturing courses rely heavily on mathematical principles and concepts. Despite the importance of mathematics, the issue of underperformance in Elementary Mathematics courses among architecture students has been a significant issue for Polytechnic institutions. Some architecture students may require assistance understanding the direct applicability of specific mathematical topics to their field of study. They may perceive mathematics courses as arduous, demanding, intricate, and challenging to succeed in. The presence of negative thoughts significantly led to the development of mathematical anxiety. This anxiety can hinder their ability to solve problems and perform to their full potential in mathematics courses. Therefore, this study investigates the correlation between mathematics anxiety and problem-solving skills among architecture students. The study utilizes a quantitative research design, employing a questionnaire and a problem-solving test. This study used convenience sampling to select 45 Diploma in Architecture students who took Elementary Mathematics in semester one. The data collected is analysed using descriptive and correlation analyses. The study results indicated that mathematics anxiety is present among architecture students. Furthermore, a significant negative correlation was observed between mathematics anxiety and the mathematical problem-solving abilities of architecture students enrolled in elementary mathematics courses. It indicates that their abilities to solve mathematical problems decreases as their mathematics anxiety increases. Consequently, mathematics anxiety is a factor that influences the problem-solving abilities of students. Hence, educators must strive to understand mathematics anxiety and implement innovative pedagogical approaches to overcome their anxiety. Ultimately, the insights gained from the research will contribute to the current body of literature concerning mathematics anxiety and its ramifications for problem-solving within architecture education.

Mathematics Anxiety and Problem-Solving Proficiency Among High School Students: Unraveling the Complex Interplay in the Knowledge Economy

Mathematics Anxiety and Problem-Solving Proficiency Among High School Students: Unraveling the Complex Interplay in the Knowledge Economy

Critical Thinking Profile of Junior High School Students in Solving Mathematical Problems Based on Gender

The critical thinking profile in solving mathematical problems is a picture expressed by describing words based on the FRISCO criteria in solving mathematical problems. This research aims to describe the critical thinking profile of male and female students in solving mathematical problems. The research subjects chosen were two class VIII students at SMP Negeri 21 Makassar, namely one male student and one female student. In this qualitative research, data collection uses two problem solving tasks and interviews. The validity of the data obtained was tested through time triangulation. Next, the data was analyzed based on FRISCO critical thinking criteria. Based on the results of data analysis and discussion of critical thinking profile theory, it can be concluded that the two subjects determine the main problem, decide on the strategy to be used in solving the problem, and provide logical reasons in the process of drawing conclusions, know the situation in the problem so that they use information that is appropriate to the problem, explain the terms in the problem well, and double-check the answers found. However, in checking again, the male subjects only checked the final results, while the female subjects checked the answers for each step found until the final results. Keywords: Critical Thinking, Gender, Problem Solving