'equations' Search Results
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.
Using Algebraic Manipulations and Analogical Transformations to Problem-Solving of Contextual Chemistry Problems
algebraic manipulation analogical transformations contextual chemistry problems mathematics problem-solving...
Algebraic knowledge transfer is considered an important skill in problem-solving. Using algebraic knowledge transfer, students can connect concepts using common procedural similarities. This quasi-experimental study investigates the influence of algebraic knowledge in solving problems in a chemistry context by using analogical transformations. The impact of structured steps that students need to take during the process of solving stoichiometric problems was explicitly analyzed. A total of 108 eighth-grade students participated in the study. Of the overall number of students, half of them were included in the experimental classes, whereas the other half were part of the control classes. Before and after the intervention, contextual problems were administered twice to all the student participants. The study results indicate that the students of the experimental classes exposed to structured steps in solving algebraic problems and the procedural transformations scored better results in solving problems in mathematics for chemistry compared to their peers who did not receive such instruction. Nevertheless, the result shows that although the intervention was carried out in mathematics classes, its effect was more significant on students' achievements in chemistry. The findings and their practical implications are discussed at the end of the study.
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.
Development of a Survey to Assess Conceptual Understanding of Quantum Mechanics among Moroccan Undergraduates
conceptual understanding learning difficulties quantum mechanics teaching/learning...
We developed a Quantum Mechanics Conceptual Understanding Survey (QMCUS) in this study. The survey was conducted using a quantitative methodology. A multiple-choice survey of 35 questions was administered to 338 undergraduate students. Three experienced quantum mechanics instructors examined the validity of the survey. The reliability of our survey was measured using Cronbach's alpha, the Fergusson delta index, the discrimination index, and the point biserial correlation coefficient. These indices showed that the developed survey is reliable. The statistical analysis of the students' results using SPSS shows that the scores obtained by the students have a normal distribution, around the score of 7.14. The results of the t-test show that the students' scores are below the required threshold, which means that it is still difficult for the students to understand the concepts of quantum mechanics. The obtained results allow us to draw some conclusions. The students' difficulties in understanding the quantum concepts are due to the nature of these concepts; they are abstract and counterintuitive. In addition, the learners did not have frequent contact with the subatomic world, which led them to adopt misconceptions. Moreover, students find it difficult to imagine and conceptualize quantum concepts. Therefore, subatomic phenomena are still explained with classical paradigms. Another difficulty is the lack of prerequisites and the difficulties in using the mathematical formalism and its translation into Dirac notation.
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.
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.
Evaluation of Preservice Teachers’ Performance in School through Video Observations during the COVID-19 Pandemic
observation preservice teachers rubrics student evaluation teacher education...
Lesson study, observation and analysis are relevant to professional development and initial teacher education. As a strategy, it helps to bridge the gap between theory and practice. The health conditions brought on by the COVID-19 pandemic forced the restriction of the tutors’ direct observation of preservice teachers at school. This study analyses preservice teachers’ performance through video observations to evaluate their professional activity at school during the COVID-19 pandemic. The Fifteen Items Revised Tsang-Hester Observation Rubric (FIR-THOR) was administered to a sample of 166 preservice teachers in their internship schools and their video recordings each one of 45-minute teaching lessons were analysed. The results show that the FIR-THOR appears as a robust instrument, which allows us to conclude that the instrument works well in the three five-items dimensions that compose it - Instruction, Management, and Assessment - proving to be reliable for assessing teacher intervention in the classroom. Among the three dimensions, the preservice teachers’ performance stands out in the Management of the classroom, as well as in the classroom Instruction. This contribution is relevant considering the potential of lesson analysis in learning and professional development during initial teacher training.
Preservice Teachers’ Noticing Skills in Relation to Student Misconceptions in Algebra
mathematical understanding misconceptions pedagogical content knowledge preservice teachers teacher education...
Many students have misconceptions about mathematics, so preservice teachers should be developing the skills to notice mathematical misconceptions. This qualitative study analyzed preservice teachers' skills in noticing student misconceptions about algebra, according to three aspects of noticing found in the literature: attending, interpreting and responding. Participants in this study were seven preservice teachers from one university in the capital of Aceh province, Indonesia, who were in their eighth semester and had participated in teaching practicums. Data was collected through questionnaires and interviews, which were analyzed descriptively. The results revealed the preservice teachers had varying levels of skill for the three aspects of noticing. Overall, the seven preservice teachers' noticing skills were fair, but many needed further development of their skills in interpreting and responding in particular. This university’s mathematics teacher education program should design appropriate assessment for preservice teachers’ noticing skills, as well as design and implement learning activities targeted at the varying needs of individual preservice teachers regarding noticing student misconceptions, in order to improve their overall teaching skills.
Promoting Outcomes-Based Instructional Materials: Testing the Effectiveness of Print Modules for Business Students
business students human resource management methodological triangulation outcomes-based education print modules...
Education delivers systematic instruction so effective learning acquisition may take place. It molds students into holistic well-being to contribute to various industries; hence, relevant competencies are developed. Strengthening education significantly encompasses the production of formfitting and distinct instructional materials to invite a sequential way of presenting quality instruction. This research is focused on knowing the effectiveness of the modules developed in Human Resource Management for Filipino business students. Specifically, it is developmental research and utilizes a pretest and post-test control group design. Numerical data were supported by phenomenological interviews, strengthening the study's results. It involved 80 college students classified as the experimental and control group. Moreover, the interview includes 10 participants. Findings reveal that utilizing the modules realized the increase in performance of the experimental group due to their exposure to the materials. However, one of the pitfalls has been revealed in utilizing self-directed learning material; thus, academic performance will only improve if students are organized to set their own goals and learning pace. Using outcomes-based instructional materials leads to substantiating learning, effectively enticing learners' interest. It maximizes students' motivation and participation since topics are well-planned and designed comprehensively. The materials are an essential tool in inviting the enthusiasm of business students to engage in learning. These are valuable means to encourage independent learning without sacrificing the competencies to be learned and applied by the learners.
Course Dropout Intention Scale: Development and Validation of a New Brief Measure in Academic College Context
brief measure college student course dropout dropout intention dropout studies...
University students may encounter situations where they perform poorly in a course and contemplate dropping out. This intention to drop out of a course manifests not only in thoughts or ideas but also in a cognitive self-evaluation of their performance and skills, enabling them to reflect on the possibility of dropping out. In this sense, there is a shortage of instruments that evaluate the intention to drop out of a course, so the aim was to develop and validate the Course Dropout Intention Scale (CDIS). Data from two samples (N1 = 198; N2 = 675) were used; the first was for the EFA, and the second was for the CFA, GRM, and SEM. The one-factor model was derived from the EFA and confirmed in the second sample, exhibiting appropriate goodness-of-fit indices. Similarly, the GRM obtained adequate fit indices; all items discriminated adequately, and the difficulty parameter had a monotonic increase. The SEM model of the effect of satisfaction with studies on the CDIS showed a negative and statistically significant effect. Thus, it was demonstrated that the CDIS is a robust instrument in its psychometric properties and empirical evidence with other variables.
Development and Psychometric Validation of an Information Competency Assessment: The Information Management Brief Scale
information competency information literacy information management inventory inventory...
Today's college students relate directly to the information through which they learn. They are the ones who detect the information they need, search and evaluate it, and also use it to develop academic projects. Information literacy programs have increased in universities to support the development of these skills to students. The aim of this study was to provide an instrument that allows the measurement of information competency in higher level students and generate evidence of its validity and reliability. The Information Management Brief Inventory (IMBS) was developed, which consisted of 16 Likert type items. IMBS was applied to a sample of 1,937 students from a public university in northern Mexico. For the evaluation of the construct validity and identification of the factor grouping of the items, an exploratory factor analysis (EFA) was carried out. Confirmatory factor analysis (CFA) was carried out to explore the goodness of fit of the model. It was found that the 16 items were grouped into three factors: information management, access to information and information ethics. The psychometric properties of IMBS were adequate.
Special Education Teachers’ Perceived Work Stress, Burnout Symptoms, Towards Adoption of Transformational Teaching in Inclusive Schools: A Cross-Country Study Between Indonesia and Thailand
burnout symptoms inclusive education special education teacher transformational teaching work stress...
During the implementation of the inclusive education policy in several countries in Association of Southeast Asian Nations (ASEAN), the psychological health of special education teachers should be considered as a key success factor. This study explored special education teachers’ perceived work stress (PWS), bio-psychological burn-out symptoms (BPS), and transformational teaching (TFT) in inclusive education in Indonesia and Thailand. There were 177 Indonesian and 199 Thai teachers completing a series of questionnaires that included BPS, PWS, and TFT. The results showed that BPS and PWS were high, whereas BPS and TFT were significantly different across nations. No gender differences were found among both Indonesian and Thai teachers. Moreover, TFT could be significantly predicted by positive age and negative work stress, which explained 8% of the variance among Indonesian teachers (R2 = .08, F(4, 172) = 4.18, p < .01) and by positive age and negative burnout symptoms, which explained 6% of the variance among Thai teachers (R2 = .06, F(4, 186) = 3.18, p < .05). Furthermore, inclusive education policymakers and stakeholders should be aware of psychological health improvement including burnout symptoms and work stress, which negatively invade the role of TFT among special education teachers in both countries.
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.