'Mathematics problem solving' Search Results
Implementing Project-Based Blended Learning Model Using Cognitive Conflict Strategy to Enhance Students’ Mathematical Spatial Literacy
blended learning mathematical spatial literacy mathematics education project-based learning...
High school teachers are mentors and facilitators that must be concerned about their students' formal thinking abilities. Students may not take a conservation task seriously because they perform operations without consulting. This necessitates modifying the learning process to increase student motivation. Therefore, this study aimed to examine students' mathematical spatial literacy through project-based blended learning with the cognitive conflict strategy. The study sample comprised 129 students, including 66 and 63 in the experimental and control classes, respectively, divided into the low, medium, and high levels. The findings showed that the experimental class students using project-based blended learning with the cognitive conflict strategy had higher mathematical spatial literacy than those in the control class using problem-based learning. Project-based blended learning with the cognitive conflict strategy and problem-based learning students at the high and moderate levels differed in their ability to increase their mathematical spatial literacy. However, low-level students are comparable in their ability to increase their mathematical spatial literacy.
A Meta-Analysis of Instructional Management Models Affecting Creative Thinking Development
creative thinking instructional management model meta-analysis research synthesis...
The main objective of this research was to study the effects of instructional management models and nominal variables on the development of students’ creative thinking. The researchers used the research synthesis of 400 studies on the development of students' creative thinking by a meta-analysis of research according to Cohen. The meta-analysis results revealed that the average effect size of the instructional management model (d = 3.43; [3.10, 3.17]) was positive and had a very high effect size with statistical significance. The most significant influence on the creative thinking development model was creative development theory (d = 4.217; [3.32, 5.11]). In addition, effect sizes varied with the attribute variables of the research, particularly the attribute variable of the research on instruction with the highest effect consisted of research with the focus on language, at the primary level, applied Torrance's creativity theory, designed between one to six lesson plans. Moreover, there was less than one hour per plan, the instructional period including the experiment conducted more than 31 hours and there were four weeks of instruction. In addition, there were six steps for instruction, there had quiz as an assessment tool, number of exams varied between 30 and 39 questions, and knowledge sheets were used as instructional materials. In the context of the meta-analysis, the findings indicated that the teachers should apply creative development theory in developing the students’ creative thinking for more effective instructional management.
Creative Teaching STEM Module: High School Students’ Perception
creative teaching modules stem creativity energy sustainability stem education student’s perception...
This study aimed to investigate the impacts of enrolling in the creative teaching module in science, technology, engineering, and mathematics (STEM) education from high school students’ perspectives. This study applied a case study and qualitative research approach involving 26 Grade 11 students and 31 Grade 8 students. The creative teaching-STEM (CT-STEM) module, which comprised various activities related to energy literacy in real-world situations for the community’s well-being, involved outdoor STEM education activities with the assistance of two science teachers. The CT-STEM module was developed based on the directed creative process model by applying four creative teaching strategies: (i) constructivism learning, (ii) discovery inquiry, (iii) problem-based learning, and (iv) project-based learning. The theme of these out-of-classroom activities is sustainability education, focusing on energy sustainability. The results showed that the planned approaches could positively impact and build students’ creativity and create an exciting learning experience. Furthermore, the findings from the open-ended questionnaire instrument, observations, and analysis of the worksheets have shown enhancements in five themes: the development of problem-solving skills with an emphasis on the element of sustainability education, high-level thinking skills, active learning skills, communication skills, and humanity skills. The students also showed an increased interest in STEM as they learned using the CT-STEM module.
A Meta-Analysis of Instructional Management Model for Students’ Creative Thinking Development: An Application of Propensity Score Matching
creative thinking instructional management model meta-analysis research synthesis propensity score matching...
The research emphasized three main objectives: 1) to analyze the propensity score of the research effect size for developing students’ creative thinking, 2) to study the attribute variables effect of the research on the effect size of creative thinking before and after the propensity score adjustments, and 3) to compare the effect size between instructional methods to develop creative thinking before and after the propensity score adjustments. The data were obtained from 400 research studies on creative thinking development in Thailand. The research instrument for data collection included the research attribute record form. They were analyzed by calculating effect size, propensity score matching analysis, and fixed effect and random effect meta-regression analysis. The results indicated two research groups with propensity scores that develop students' creative thinking: the low effect size group of 256 research ( =1.345) and the high effect size group of 144 research ( =7.284) using 26 attribute variables of creative thinking development research. Moreover, the instructional methods with the creative activities had the highest effect size ( =3.88). After the analysis of propensity score matching, the effect of 12 research attribute variables was eliminated as follows: manufacturing research institutions, year of publication, educational institutions, curriculum, creative thinking indicators, instructional materials, types of research, research objectives, research groups, research protocols, statistics used in research, quality of research and it was found that integrated instructional model of knowledge using media and technology had the highest effect size ( =0.41).
Longitudinal Data of High-school Students’ Grades during the COVID-19 Pandemic in Relation to Their Skills
average grades cognitive abilities distance learning covid-19 longitudinal problem-solving skills...
The longitudinal changes of the average grades in four study semesters before and during the COVID-19 pandemic and distance learning are presented in the current study. 11th grade students’ (n=586; age M=17.38, SD=0.53) average grades were assessed, as well as their verbal and non-verbal reasoning abilities, and self-evaluations of problem-solving and self-management skills. The main findings of the study are: 1) There is a general pattern for the grades to increase during the four semesters from the autumn 2019 to the spring 2021; 2) The general tendency of changes in the grades is similar to various students’ groups based on their level of skills; 3) Higher level of students’ skills and cognitive abilities determined that students’ grades were higher and were more likely to increase during the “second wave of the pandemic”, compared to the middle and low-level skill groups. Results of the current study show a tendency for the average grades to increase during the pandemic and distance learning, however, there are group differences in the findings, relating the grade level to the individual level of students’ skills and abilities.
The Pedagogical Manifestations: A Driver of Teachers’ Practices in Teaching Algebraic Equations
classroom practices pedagogical practices penta-knowledge collaborative planning teacher-centered methods...
Mathematics teachers’ instructional strategies lack in-depth knowledge of algebraic systems and hold misconceptions about solving two algebraic equations simultaneously. This study aimed to gain an in-depth analysis of teachers’ knowledge and perceptions about the promotion of conceptual learning and effective teaching of algebraic equations. The main question was, ‘How do junior secondary school mathematics teachers manifest their pedagogical practices when teaching algebraic equations? This article reports on a qualitative, underpinned by the knowledge quartet model study, that sought to explore how junior secondary school teachers’ pedagogical practices manifested in the teaching of algebraic equations. Data were collected from observations, semi-structured interviews, and document analysis of two mathematics teachers purposely selected from two schools. The collected data were analysed using a statistical analysis software called Atlas-ti. (Version 8) and triangulated through thematic analysis. The study revealed that teachers’ choices of representations, examples, and tasks used did not expose learners to hands-on activities that promote understanding and making connections from the underlying algebraic equation concepts. The study proposed Penta-Knowledge Collaborative Planning and Reflective Teaching and Learning Models to enable teachers to collaborate with their peers from the planning stage to lesson delivery reflecting on good practices and strategies for teaching algebraic equations.
Problem-Solving Process of Students with a Reflective Cognitive Style Based on the Action-Process-Object-Schema Theory
apos theory cognitive style problem-solving reflective...
The skill to solve mathematical problems facilitates students to develop their basic skills to solve problems in daily life. This study analyzes students' problem-solving process with a reflective cognitive style in constructing probability problems using action, process, object, and schema theory (APOS). The explanatory method was used in this qualitative study. The participants were mathematics students at the Department of Mathematics, Universitas Negeri Semarang. The researchers collected the data with the cognitive style test using the Matching Familiar Figure Test (MFFT), used a valid problem-solving skill test, and the interview questions. The data analysis techniques used were processing and preparing the data for analysis, extensive reading of the data, coding all data, applying the coding process, describing the data, and interpreting the data. The results showed that (1) the problem-solving process of students with symbolic representation was characterized by the use of mathematical symbols to support the problem-solving process in the problem representation phase; (2) the problem-solving process of students with symbolic-visual representation was characterized by the use of symbols, notations, numbers, and visual representation in the form of diagrams in the problem representation phase.
Analysis of the Effect of Social Skills and Disposition of Digital Literacy on Mathematical Literacy Ability
digital literacy disposition mathematical literacy social skills...
This study aims to analyze the characteristics of social skills, digital literacy disposition, and mathematical literacy abilities of 49 students; to analyze the theoretical model of the direct and indirect influence of digital literacy skills and social skills on mathematical literacy skills. The number of samples is 49 of the 12th-grade students at state high school #1 Southern Konawe. The research instruments consisted of a mathematical literacy ability test, a social skills questionnaire, and a digital literacy disposition questionnaire. The data were analyzed by descriptive statistics and structural equational models (SEM) with a Smart PLS 3.0 application. The results showed that students' mathematical literacy skills tended to be better on content and context indicators but they are weak on competency and process indicators. Students' social skills tend to be better on indicators of peer-relationship skills and self-management skills, but are also weak on indicators of academic skills and compliance skills. Mastery of the digital literacy disposition tends to be better on the internet searching, content evaluation, and information sharing indicators but is still weak on knowledge assembly. Furthermore, it was found that (a) social skills have a direct effect on digital literacy disposition but do not directly affect mathematical literacy skills; (b) the digital literacy disposition has a direct effect on mathematical literacy skills.
Optimizing Academic Achievement through Comprehensive Integration of Formative Assessment into Teaching
academic achievement formative assessment peer assessment self-assessment structured assignments...
Learning activities are conducted to help students achieve optimal academic achievement. This research aims to optimize student academic achievement through a learning process that integrates comprehensive formative assessments, including formative tests, self-assessment, peer assessment, and the initiator of creating summaries or concept maps that are given to students in a structured manner at the end of every lesson. The research method used was a quasi-experimental method with a 2x2 factorial design. Students enrolled in the biology education program of the basic physics course for the 1st semester of the 2019 academic year participated in this study. The participants were 66 undergraduate students divided into two classes. Thirty-four students in the experimental group were in class A, while 32 students in the control group were in class B. Data were collected using a learning outcome test instrument to measure academic achievement, which was tested at the end of the semester. Data were analyzed using a two-way ANOVA. This study concluded that a learning process that includes comprehensive formative assessment significantly affects students' academic achievement. These findings support the theory that formative assessment provides feedback, correction, and improvement in student learning.
The Development of Teacher and Student’s Book Based on Realistic Mathematics Education in Statistics for A package Program
realistic mathematical education student books teacher's books validity...
Development research demands a improvement in the implementation of learning by developing products based on learning needs. The products of this development are teacher book and student book based on the realistic mathematic education (RME) approach for package A in statistics material. Validity testing in this study includes instrument validation, self-evaluation, expert validation, one-to-one evaluation. Aiken's V and Intraclass Correlation Coefficient (ICC) are used to determine the validity and reliability of the product. The result of research shows that the instruments and prototype are valid and feasible. Then, the ICC obtained moderate stability, it also categorize reliable. In terms of context and hypothetical learning trajectory (HLT) developed, the products should be revised to achieve meaningful learning.
The Effects of The Blended Project-Based Literacy that Integrates School Literacy Movement Strengthening Character Education Learning Model on Metacognitive Skills, Critical Thinking, and Opinion Expression
blended li-pro-gp learning model critical thinking metacognitive skills opinion expression...
Metacognitive, critical thinking and opinion expression are in high demand. This study aimed to investigate the effects of the blended project- based literacy that integrates school literacy movement strengthening character education (literasi berbasis proyek terintegrasi GLS dan PPK: Li-Pro-GP) learning model on students' metacognitive skills, critical thinking, and opinion expression. A post-test experimental design was used to answer the research question. The study was conducted from August to October 2021 at Government Junior High School 23 Malang. Seventh-grade students were selected as research participants. The participants included 30 students from class VII-2. The research instrument was five essay questions to measure critical thinking skills. Material and assessment experts validated the essay questions developed by the researcher. The items that were declared valid were tested for validity. The result showed five valid items with high reliability of .670. Metacognitive skills were measured using the Metacognition Awareness Instrument (MAI), which consists of 40 items. The questions declared valid were tested for validity with a very high reliability of .953 for 37 items, and only three items were invalid. The ability to express an opinion was measured with an observation questionnaire validated by experts with a valid instrument score. Data analysis was performed by path analysis using the SmartPLS software. The results showed that the Li-Pro-GP blended learning model significantly strengthened students' metacognitive skills, critical thinking, and opinion formation.
The Concept of Number Sequence in Graphical Representations for Secondary School Students
compulsory secondary education students graphical representation number sequences progression in learning...
The aim of this work is to characterise the understanding that students in compulsory secondary education (14-16 years old) have of number sequences in graphical representations. The learning of numerical sequences is one of the first mathematical concepts to be developed in an infinite context. This study adopts the focus of semiotic representations as its theoretical framework. The participants consisted of 105 students and a qualitative methodology was used. The data collection instruments were a questionnaire and a semi-structured interview. The results allowed for three student profiles regarding number sequences in graphical representations to be identified. These profiles may facilitate a possible progression in the learning of number sequences for students in compulsory secondary education to be considered. Therefore, the results presented in this study can provide information about the learning hypotheses of mathematical tasks related to numerical sequences and can help in the design of such tasks.
Developing Mobile Learning Application Containing Basic Pedagogy Material as the Supplement in Improving College Students’ Learning Outcome in Teacher Training Institutes of Indonesia
learning outcomes material pedagogy mobile learning...
The vast technological development affects every layer of people’s daily life, including Education. However, Indonesia’s tertiary education status quo has not exhibited any rapid development in information technology-based learning media. This study aimed to develop and identify the effectiveness of Basic Pedagogy Material online learning material in improving students’ outcomes in pedagogy. It applied R & D design with a waterfall development model on second-semester students in Universitas Negeri Semarang, Indonesia, during the educational year of 2020/2021. The data collected through interviews, observation, questionnaire, scale, and test were analyzed using independent t-test and n-gain. The findings indicated a significant difference between the average score before and after students used the Basic Pedagogy Materials mobile learning application during the learning process. Therefore, the mobile learning application developed effectively improves students' learning outcomes in pedagogy subjects effectively.
Project-Based and Flipped Learning in the Classroom: A Strategy for Enhancing Students’ Scientific Literacy
environment-based learning resources flipped classrooms project-based learning scientific literacy...
Scientific literacy is a critical competency for people to take an essential role in science, technology, and social advancement. It is important to note that this competence is still a problem for most students worldwide. Therefore, this study analysed students' scientific literacy differences between a project-based learning flipped classroom (PjBL-FC) and a project-based learning (PjBL) class assisted by learning resources in wetlands environments. This quasi-experimental study used a non-equivalent control group design involving Class X Senior High School as the sample. The data were inferentially analysed by t-test. The results showed that the scientific literacy of students in the class that applied the PjBL-FC was better than those who applied only PjBL. Furthermore, all the indicators reach the high to very high category except the ability to propose a hypothesis, which is in the medium category. It was concluded that flipped classroom makes the PjBL take place more efficiently and effectively. Further studies can be carried out to determine how students use the learning materials, how teachers design the PjBL strategy in an online platform, their effect on scientific literacy, and how to combine PjBL with other approaches.
The Use of Technology-Based Model of Critical Thinking Development to Reshape Students’ Self-Study Process
critical thinking higher education self-study student performance technologies...
The aim of this study was to investigate how the use of the technologized model of critical thinking development affected the self-study process of students of higher educational institutions (HEIs). The research methodology was based on a combination of qualitative and quantitative empirical methods, as well as a descriptive approach to data analysis. The study involved a quasi-experimental model supposed to influence the variables under study. The technology-based educational model of autonomous learning with a focus on the critical thinking development in students of HEIs consisted of the following processes, such as: communication, analysis, synthesis, problem-solving, evaluation, and reflection. The Watson Glaser Test was adapted to monitor the level of students’ critical thinking. The average score on the final control of students’ knowledge was used to monitor the experimental group students’ performance. By monitoring the development of students’ critical thinking and the dynamics of their performance in the course of training, where 90% of the time students studied independently, it was established that the use of a technological educational model had a positive effect on the critical thinking of students of HEIs, and as a result, the effectiveness of their self-study.
Examining the Associations Between Calibration Accuracy and Executive Functions in Physical Education
calibration accuracy executive functions physical education sports performance...
This study examined students’ calibration of performance in a sport skill in relation to their performance in an executive functions test. A total of 265 students in the fourth, fifth, and sixth grades participated in the study. The students took an executive functions test, and then they were tested on a basketball shooting test, after having provided a personal estimation regarding their performance. Based on students’ actual and estimated performance, the bias index was calculated to classify students into three categories; accurates, underestimators and overestimators, while the accuracy index (absolute values of the bias index) was also calculated. The results showed a positive but small magnitude relation between students’ scores in the executive functions test and their performance calibration, while accurate scored higher on the executive function test compared to over estimators and under estimators. These results are similar to those of previous studies with elementary school children that employed cognitive tasks and were discussed with reference to theoretical and empirical implications.
Generalization of Patterns Drawing of High-Performance Students Based on Action, Process, Object, and Schema Theory
apos generalization high-performance pattern drawing...
This study is qualitative with descriptive and aims to determine the process of generalizing the pattern image of high performance students based on the action, process, object, and schema (APOS) theory. The participants in this study were high performance eighth-grade Indonesian junior high school. Assignments and examinations to gauge mathematical aptitude and interviews were used to collect data for the study. The stages of qualitative analysis include data reduction, data presentation, and generating conclusions. This study showed that when given a sequence using a pattern drawing, the subjects used a number sequence pattern to calculate the value of the next term. Students in the action stage interiorize and coordinate by collecting prints from each sequence of numbers in the process stage. After that, they do a reversal so that at the object stage, students do encapsulation, then decapsulate by evaluating the patterns observed and validating the number series patterns they find. Students explain the generalization quality of number sequence patterns at the schema stage by connecting activities, processes, and objects from one concept to actions, processes, and things from other ideas. In addition, students carry out thematization at the schematic stage by connecting existing pattern drawing concepts with general sequences. From these results, it is recommended to improve the problem-solving skill in mathematical pattern problems based on problem-solving by high performance students', such as worksheets for students.
The Effectiveness of Teaching Derivatives in Vietnamese High Schools Using APOS Theory and ACE Learning Cycle
academic achievement ace learning cycle apos theory derivative mathematics education...
The actions, processes, objects, and schemas (APOS) theory is a constructivist learning theory created by Dubinsky based on Piaget's epistemology and used to teach math worldwide. Especially the application of APOS theory to the curriculum of a mathematics class helps students better understand the concepts being taught, which in turn contributes to the formation and development of mathematical competencies. With the aid of the APOS theory and the activity, classroom discussion, and exercise (ACE) learning cycle, this study sought to ascertain the effect of teaching derivatives in Vietnamese high schools. In this quasi-experimental study at a high school in Vietnam, there were 78 grade 11 students (40 in the experimental and 38 in the control classes). As opposed to the control class, which received traditional instruction, the experimental class's students were taught using the ACE learning cycle based on the APOS theory. The data was collected based on the pre-test, the post-test results and a survey of students' opinions. Also, the data that was gathered, both qualitatively and quantitatively, was examined using IBM SPSS Statistics (Version 26) predictive analytics software. The results showed that students in the experimental class who participated in learning activities based on the APOS theory improved their academic performance and attitudes. Additionally, it promoted the students' abilities to find solutions to problems about derivatives.
Grade-3 Learners’ Performance and Conceptual Understanding Development in Technology-Enhanced Teaching With Interactive Mathematics Software
conceptual understanding interactive mathematics software lower primary school mathematics education rwanda...
This study presented the effect of interactive mathematics (IM) software assisted-teaching on primary three learners' conceptual understanding and performance. The cognitive theory of multimedia learning (CTML) supported the quasi-experimental design of this study drawing on IM software features that fit a multimedia tool for effective learning. This study used a sample of 138 lower primary learners. Learners’ test scores and examples of their work provided data to be analyzed. Learners' conceptual understanding was measured using the percentage of learners who performed a particular item and analyzed using sample learners' work while the overall performance was measured using the mean class scores. From the data analysis, IM-assisted teaching influenced conceptual understanding and performance based on a .05 p-value, the effect size of significance, and learning gains. The analysis of learners’ workings revealed different errors in addition, subtraction, division, and multiplication, which were remarkably reduced in the post-test by IM-supported teaching. This evidenced conceptual understanding development by IM-supported teaching. The study suggested the integration of IM in the Rwandan Competence-Based curriculum and its use as an instructional tool in teaching and learning mathematics at the primary level. Besides, it was recommended that Rwanda Education Board support teachers in developing basic computer skills to effectively create and monitor a multimedia learning environment for effective learning. Furthermore, further similar research would improve the literature about interactive technologies in supporting quality mathematics delivery and outcomes.
Digital Puzzle Worksheet for Identifying Metacognition Level of Students: A Study of Gender Differences
contextual math problem digital puzzle worksheet metacognition level primary school...
Digital puzzle worksheet (DPW) is innovative teaching material designed using open-source software such as Canva and Liveworksheets. Subsequently, puzzle games in the form of questions can improve problem-solving skills by engaging in metacognitive processes. This research used a case study method to describe the impact of applying the DPW to identify the metacognition levels of students through the assignment of contextual maths problems. The source of informants was third-grade elementary school students in West Java, Indonesia. Test instruments, observation sheets, and interviews were used, while data analysis adopted an iterative model. Furthermore, the method and time triangulation increased confidence in the resulting conclusions. The results showed that male students were at the metacognitive level of ‘strategic use’ and ‘aware use’ for females, based on the characteristics of the observed metacognitive level. The most prominent feature was identifying and determining problem-solving strategies with metacognitive awareness. The reaction of students to the DPW improved problem-solving abilities, expanded conceptual understanding, and enhanced digital technology competence. Therefore, this experience was applied when solving contextual mathematical problem assignments.