'difficulties in mathematics' Search Results
How Scaffolding Integrated With Problem Based Learning Can Improve Creative Thinking in Chemistry?
biochemistry creative thinking problem based-learning scaffolding...
This study aimed to describe the differences in students' creative thinking skills in a problem-based learning model with scaffolding in the biochemistry course. This study was designed using a quantitative explanatory research design with a sample of 113 students of the Jambi University Chemistry Education Study Program. In this study, the researcher used the experimental class and control class. The sampling technique used is total sampling and purposive sampling. The research data was taken by observation, test, and interview methods. The quantitative data analysis used was the ANOVA test and continued with the Post-Hoc Scheffe’s test. The findings of this study indicate that the results of the ANOVA test indicate a significant difference in the average creative thinking results in terms of psychomotor aspects with the acquisition of significance scores of 0.000. In addition, the results of this study indicate that class A students have higher creative thinking skills than class B and class C. This is because class A students use a problem-based learning model integrated with scaffolding in their learning.
How Does Working Memory Capacity Affect Students’ Mathematical Problem Solving?
mathematical ability problem solving working memory capacity...
Problem-solving process requires information processing, and the information processing is related to working memory capacity (WMC). This study aims to determine the effect of WMC on students' mathematical abilities and to describe the ability of the students with high and low WMC in solving mathematical problems. This research used mixed method with Sequential Explanatory Design. The quantitative data were collected through the provision of OSPAN tasks and math tests to 58 students aged 15-17 years, while the qualitative data were collected through interviews based on mathematical problem-solving tasks. The results showed that WMC had a significant effect on students' mathematical abilities (R=0.536; p=0.000). Researchers found differences in students' mathematical problem-solving abilities with high and low WMC. Students with high WMC can remember and manage information well which supports the determination of more advanced problem-solving strategies and have better attention control so that they find varied appropriate solutions. Students with low WMC experienced decreased attention control as the complexity of the tasks increased, missed important information in problem solving strategies, and did not recheck their work, leading to wrong solution/answer. The mathematical performance of students with high WMC outperformed the mathematical performance of students with low WMC.
It Doesn't Mean that Students Don't Have Mathematics Anxiety: A Case Study of Mathematics Learning with Path Analysis
learning achievement mathematical anxiety motivation path analysis...
Mathematics anxiety has always been an interesting topic to study and discuss in the world of education. This study aimed to (1) investigate the impact of teacher roles, mathematics content, and mathematics anxiety on learning motivation, and (2) explore how students manage mathematics anxiety as a stimulus in learning motivation. This research used mixed methods with embedded concurrent design. The research sample was 100 respondents. The questionnaire instrument was arranged based on a Likert scale with 5 answer choices. This study used a structural equation model and confirmatory factor analysis as data analysis methods. The research findings indicated that: (1) a significant direct impact emerged between mathematics anxiety and students' learning motivation, and there was an indirect impact between the teacher's role and mathematics content on learning motivation; (2) students could manage mathematics anxiety when they were in optimal anxiety or positive anxiety so that they could overcome mathematics anxiety as a stimulus for achievement and deconstruct anxiety into motivation according to experience and personal resources. Results of this study confirmed that the statements about mathematics anxiety which always has a negative impact on motivation and learning achievement is not universal, because mathematics anxiety does not always have a negative impact on motivation and learning achievement if this anxiety is managed effectively.
Analyzing Second-Year University Students’ Rational Number Understanding: A Case on Interpreting and Representing Fraction
interpreting fraction rational number representing fraction...
This research aims to determine second-year university students’ understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of 112 student teachers of primary teacher education program at two private universities in Indonesia were involved in this research. A qualitative method with a holistic type case study design was used in this research. The results indicate that a significant percentage of the participants could not correctly interpret and represent fractions. In terms of interpretation, it is found how language could obscure the misunderstanding of fractions. Then, the idea of a fraction as part of a whole is the most widely used in giving meaning to a fraction compared to the other four interpretations, but with limited understanding. Regarding data representation, many participants failed to provide a meaningful illustration showing the improper fraction and mix number compared to the proper fraction. Improvement of fraction teaching at universities - particularly in primary teacher education programs - is needed so that students get the opportunity to develop and improve their knowledge profoundly. We discuss implications for teaching fractions.
Exploring Factors Influencing Student's Learning Difficulties During Pandemic in Indonesia: A Structural Equation Modelling
learning difficulty learning potential social environment social media activity structural equation modeling...
The pandemic era has caused changes in the learning system. The situation demanded online learning and triggered students to have learning difficulties. The research aims to examine the impact of social media, social environment, and student learning potential on student learning difficulties. This study utilizes a quantitative approach. The respondents were university students experiencing online learning in West Java, Indonesia. A questionnaire validated by four experts was distributed to 539 of them. Accommodating structural equation modeling (SEM) by evaluating the measurement and structural models was used in data analysis. This study revealed that the instrument had good construct validity and reliability. A good instrument will produce a good measurement process so that the instrument can get the data needed. Hypothesis testing shows that high media activity can inhibit students from learning. However, social media activity directly influences learning difficulties. Meanwhile, the variables of learning potential and social environment positively influence student learning difficulties directly or indirectly. There are a few things to note on learning potential, social environment, and social media to delve into their influences on students' learning difficulties.
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.
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.
Bandura's Observational Learning Model and General Motoric Ability About Learning Outcomes in Athletic Skills
athletic skills learning outcomes general motoric ability learning model...
This study aims to analyze the impact of Bandura’s observational learning model based on performance assessment learning models and general motor skills on athletic skills learning outcomes. This study used an experimental design treatment by level 2x2. A simple random sampling technique was used with a total of 88 people. The data collection method used consisted of tests and documentation. A two-way analysis of variance was used to analyze the data. The results showed that the students’ athletic skills learning outcomes that followed the Bandura observational learning model based on performance assessment were higher than students’ conventional learning model. There was an interaction effect between the learning model and general motor skills on the student's athletic skills learning outcomes. The students’ athletic skills learning outcomes who follow the Bandura observational learning model based on performance assessment were higher than the conventional learning model. The students with low general motor skills and the students’ athletic skills learning outcomes that followed the Bandura observational learning model based on performance assessment were lower than the conventional learning model. Based on the research findings, it is recommended to improve the athletic skills learning outcomes with Bandura's observational learning model based on performance assessments appropriately and correctly.
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.
Parents’ Perspectives on Distance Learning Mathematics During the COVID-19 Pandemic: A Phenomenological Study in Indonesia
the pandemic distance learning learning mathematics...
‘Panic-gogy’ is a term that describes the educational situation during the pandemic due to the transformation phenomenon from face-to-face learning to distance learning. Various types of research are used to uncover the constraints of this phenomenon, but not many researchers use phenomenological studies with parents as participants. Therefore, we used a phenomenological study to describe parents’ views on the constraints, expectations, and approvals regarding the preparation of distance learning modules at the junior high school level (aged 13-15 years). Data collection was carried out using semi-structured interviews. Data were analyzed using NVivo-12-assisted thematic analysis. The main findings are that most parents experience problems. Namely, children do not understand mathematics material, incomplete explanations of material from teachers, internet disturbances, and quota limitations, and children cannot learn mathematics optimally during the distance learning period. Most parents want face-to-face learning to be carried out immediately, teachers to provide detailed explanations, and use digital learning platforms. In addition, 85% of parents agree that mathematics teachers should develop distance learning modules. However, because the pandemic is still not over, this study recommends using blended learning to maintain the quality of mathematics learning.
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.
How Students Generate Patterns in Learning Algebra? A Focus on Functional Thinking in Secondary School Students
functional relationships functional thinking generalization learning algebra...
This research aims to describe secondary school students' functional thinking in generating patterns in learning algebra, particularly in solving mathematical word problems. In addressing this aim, a phenomenological approach was conducted to investigate the meaning of functional relationships provided by students. The data were collected from 39 ninth graders (13-14 years old) through a written test about generating patterns in linear functions. The following steps were conducting interviews with ten representative students to get detailed information about their answers to the written test. All students' responses were then analyzed using the thematic analysis software ATLAS.ti. The findings illustrate that students employed two types of approaches in solving the problem: recursive patterns and correspondence. Students favored the recursive patterns approach in identifying the pattern. They provided arithmetic computation by counting term-to-term but could not represent generalities with algebraic symbols. Meanwhile, students evidenced for correspondence managed to observe the relation between two variables and create the symbolic representation to express the generality. The study concludes that these differences exist due to their focus on identifying patterns: the recursive pattern students tend to see the changes in one variable, whereas the correspondence ones relate to the corresponding pair of variables.
Relationship Between Knowledge and Affection for the Environment: A Meta-Analysis
affection conservation environment knowledge meta-analysis...
Environmental damage must be taken seriously. Strengthening human attitudes to preserve the environment is the keyword, and strengthening the aspects of knowledge about the environment must be pursued. However, a scientific basis is needed that shows that it is true that strengthening the aspects of knowledge about the environment can improve a person’s attitude toward preserving the environment. The purpose of this research is to find the relationship between a person’s knowledge and their behavior in preserving the environment. By defining the general picture of the relationship between knowledge and attitudes, future accurate educational policies can be taken in the context of environmental protection. This research is a meta-analysis of correlation types. The inclusion criteria for selecting the data are as follows: studies published from 1999 to 2022 in English, analyzed by correlation analysis, have descriptions of many samples and correlation indices, and published in Google Scholar-indexed journals. Based on this inclusion criteria, 23 studies were selected containing 36 relevant sets of research data. The results showed that there was a correlation between knowledge and a person’s attitude toward the environment (.37). Assuming a 95% confidence level, the real score ranges from 0.26 to 0.48. The publication bias test using the trim and fill method showed that none of the data contained biased publications, so the meta-analysis results could be declared valid. Now, there is an urgency to expand environmental education to encourage the development of good attitudes by the community toward the environment.
Study Item Parameters of Classical and Modern Theory of Differential Aptitude Test: Is it Comparable?
classical test theory differential aptitude test item parameter modern test theory...
This study aimed to find the Classical Test Theory (CTT) and Modern Test Theory (MTT) item parameters of the Differential Aptitude Test (DAT) and examined their comparability of them. The item parameters being studied are difficulty level and discrimination index. 5.024 data of the result sub-test DAT were documented by the Department of Psychology and Guidance and Counselling bureau. The parameter of classical and modern test items was estimated and correlated by examining the comparability between parameters. The results show that there is a significant correlation between item parameter estimates. The Rasch and IRT 1-PL models have the highest correlation toward CTT regarding the item difficulty level. In contrast, model 2-PL has the highest correlation toward CTT in the item discrimination index. Overall, the study concluded that CTT and MTT were comparable in estimating item parameters of DAT and thus could be used independently or complementary in developing DAT.
The Effect of the Collaborative Discussion Strategy Think-Pair-Share on Developing Students' Skills in solving Engineering Mathematical Problems
collaborative discussion engineering education mathematics education problem-solving skills think-pair-share strategy...
The Think-Pair-Share (TPS) strategy makes the learning environment interactive, lively, collaborative and democratic. It allows students to interact; accept information; develop collaborative discussion skills; refine their thinking; and participate effectively in the classroom. In this study, the researchers investigated the effect of the collaborative discussion strategy (think-pair-share) on developing students' skills in solving engineering mathematical problems. Once we had confirmed the validity and reliability of the tools, we used the quasi-experimental approach. The study sample consisted of 66 students divided into two groups: Namely, an experimental group, which comprised 33 students who studied mathematics using the (think-pair-share) strategy; and a control group, which comprised 33 students who studied in the traditional way. Both groups sat for a pretest and post-test in mathematics. The test results showed that the use of the TPS strategy had a positive effect on developing problem-solving skills compared to the traditional method. In light of these results, the study recommended the use of TPS strategy to improve the skills of students in solving engineering mathematical problems.
Evaluating the Results of PISA Assessment: Are There Gaps Between the Teaching of Mathematical Literacy at Schools and in PISA Assessment?
education gaps mathematical competence mathematical literacy pisa assessment...
The problems in education in the countries of the Organization for Economic Cooperation and Development (OECD) vary from country to country. The differences between "upper class" and "lower class" countries in PISA assessment results have led to a research gap. The purpose of this study was to (a) test students' mathematical literacy skills on the Program for International Student Assessment (PISA) test and compare the results using the sum of means across OECD countries; (b) examine the relationship between students' mathematical competence, precision, and self-perception of mathematical literacy skills in the PISA test; and (c) analyze the gaps that exist between the implementation of mathematics instruction in school and the mathematical literacy as measured on the PISA test. This study was designed as a mixed method with an explanatory sequential design. The data collection methods included test procedures, questionnaires, and interviews. The result of this study showed that the overall mean score obtained was below the OECD average. In general, the respondents achieved only level 2 mathematics proficiency. A significant relationship was found between mathematical competence, precision, and self-perception in mathematical skills. On the other hand, there was a gap, namely the difference at the implementation level, where mathematical literacy measured by PISA differed from the measurement of mathematical learning achievement by teachers in school. The results showed that teaching that emphasizes only problem-solving procedures affects low mathematical competence and is not useful enough for students to deal with the PISA mathematics test.
Examining the Conceptual and Procedural Knowledge of Decimal Numbers in Sixth-Grade Elementary School Students
conceptual knowledge decimal numbers math learning difficulties procedural knowledge...
In this article, we present the results of empirical research using a combination of quantitative and qualitative methodology, in which we examined the achievements and difficulties of sixth-grade Slovenian primary school students in decimal numbers at the conceptual and procedural knowledge level. The achievements of the students (N = 100) showed that they statistically significantly (z = -7,53, p < .001) better mastered procedural knowledge (M = 0.60, SD = 0.22) than conceptual knowledge (M = 0.37, SD = 0.17) of decimal numbers. Difficulties are related to both procedural and conceptual knowledge, but significantly more students have difficulties at the level of conceptual knowledge. At the level of procedural knowledge, or in the execution of arithmetic operations with decimal numbers, we observed difficulties in transforming text notation into numerical expressions, difficulties in placing the decimal point in multiplication and division, and insufficient automation of mathematical operations with decimal numbers. At the level of conceptual knowledge of decimal numbers, the results indicate difficulties for students in understanding the place values of decimal numbers, in estimating the sum, product and quotient of decimals with reflection and in mathematical justification. In relation to difficulties in justification, we observed an insufficient understanding of the size relationship between decimal numbers and difficulties in expressing them in mathematical language. The results indicate that to overcome such difficulties in the learning and teaching of mathematics, more balance between procedural and conceptual knowledge is needed.
Student Teachers’ Knowledge of School-level Geometry: Implications for Teaching and Learning
computer-aided mathematics instruction school-level geometry student teachers teaching and learning...
This study aimed to assess the geometric knowledge of student teachers from a university in the Eastern Cape province of South Africa. The study used a sample of 225 first-year student teachers who completed school mathematics baseline assessments on a computer- aided mathematics instruction (CAMI) software. The study adopted a descriptive cross-sectional research design, using quantitative data to measure student teachers’ geometry achievement level, and qualitative data to explain the challenges encountered. The results show that student teachers exhibited a low level of understanding of school-level geometry. The low achievement levels were linked to various factors, such as insufficient grasp of geometry concepts in their secondary school education, difficulty in remembering what was done years ago, low self-confidence, and lack of Information and Communications Technology (ICT) skills along with the limited time for the baseline tests. These results suggest that appropriate measures should be taken to ensure that student teachers acquire the necessary subject-matter knowledge to teach effectively in their future classrooms.
Curiosity and Digital Stories: Exploring Preschoolers’ Behaviors
child-computer interaction curiosity measurement digital stories preschool age...
Given curiosity’s fundamental role in motivation and learning and considering the widespread use of digital stories as educational tools from the preschool age, we pursued measuring preschoolers’ curiosity when interacting with digital stories. Using 129 toddlers and preschoolers as a sample, three groups (one for each class) were given different versions of the same digital story to listen to: interactive, non-interactive, and animated. Toddlers' verbal and nonverbal behaviors were utilized to quantify curiosity as a condition brought on by the app. The participants' verbal and nonverbal behaviors were recorded during the digital reading aloud. Every child's data was encoded at one-minute intervals to examine concurrent behavior, and the results were then compiled. The findings show that interactive presentation formats encourage more touching and language use but less noise production and that interaction and the creative use of hot spots in digital illustrations are key elements in piquing viewers' curiosity while contributing to the strengthening of the engagement to the activity and the cultivation of critical thinking, creativity, and imagination.
Text Comprehension as a Mediator in Solving Mathematical Reality-Based Tasks: The Impact of Linguistic Complexity, Cognitive Factors, and Social Background
experimental design language in mathematics linguistic complexity mediation analysis reality-based tasks...
Successfully solving reality-based tasks requires both mathematical and text comprehension skills. Previous research has shown that mathematical tasks requiring language proficiency have lower solution rates than those that do not, indicating increased difficulty through textual input. Therefore, it is plausible to assume that a lack of text comprehension skills leads to performance problems. Given that different sociodemographic characteristics and cognitive factors can influence task performance, this study aims to determine whether text comprehension mediates the relationship between these factors and competence in solving reality-based tasks. Additionally, it examines the impact of systematic linguistic variation in texts. Using an experimental design, 428 students completed three reality-based tasks (word count: M = 212.4, SD = 19.7) with different linguistic complexities as part of a paper-pencil test. First, students answered questions about the situation-related text comprehension of each text, followed by a mathematical question to measure their competence in solving reality-based tasks. The results indicate that: a) Tasks with texts of lower linguistic complexity have a significantly higher solution rate for both text comprehension (d = 0.189) and mathematical tasks (d = 0.119). b) Cognitive factors are significant predictors of mathematical solutions. c) Text comprehension mediates the relationship between the impact of students’ cultural resources and cognitive factors and their competence to solve reality-based tasks. These findings highlight the importance of linguistic complexity for mathematical outcomes and underscore the need to reinforce text comprehension practice in mathematical education owing to its mediating role.
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