Facilitating effective mathematics learning and higher mathematics achievement have long been recognized as a key to the scientific and technological advancement of the African continent. While the central role that language proficiency plays in mathematics teaching and learning has received an overwhelming research attention in the literature over the past two decades, this is not the case among African policy-makers and political leaders. Drawing mainly from our professional experiences as mathematics educators and from the international research literature, our primary intent in this paper is to answer this question: How does the learning of mathematics in English at the basic school level help or hinder students’ mathematical proficiency? To answer this question, the paper is organized as follows. The first part, the introduction, gives a brief overview of the language of learning and teaching in Africa. The second part describes the method and conceptual framework undergirding the research. In the third section, we have analyzed the effects of mathematics learning and teaching through English for basic students whose mother tongue is a Ghanaian language. The conclusion offers four recommendations for developing and improving the mathematics proficiency of students in basic schools.

Because of war and civil war on the territory of Bosnia and Herzegovina, education in ethnically divided country has become fragmented. Because of postwar divisions thirteen different ministries of education or similar bodies are responsible for education, resulting in inefficiency and low quality. To overcome differences, a committee of experts has prepared an outcome-based common core curriculum for science education from preschool to the upper secondary school level. Since the working group comprised representatives from all major entities, ethnic and religious groups, and school levels, as well as teachers from Biology, Chemistry, Geography and Physics, a positive outcome for the consolidation of science education can be expected.

Majority of NOS studies comprise of determination or assessment studies conducted with ordinary students. In order to gain further understanding on variation in NOS understandings among the students, there should be different research attempts focusing on unconventional students such as academically advanced students. The purpose of this study is to determine epistemological understanding of Finnish academically advanced science students concerning aspects of NOS. The study was a case study (N=39) conducted with qualitative perspective. Questionnaires on the students’ attitude toward science and motivation toward science learning plus a form for the teacher’s ideas and VNOS-C, were used as diagnostic tools and data collection instruments. The study revealed that the majority of the students were found to be naïve in aspects such as “empirical basis of science”, “observation and inference”, “subjectivity of scientists”, “social and cultural embeddedness”, “creativity in science”, “theories and laws” and “tentativeness”.

Cheating detection is an important issue in standardized testing, especially in large-scale settings. Statistical approaches are often computationally intensive and require specialised software to conduct. We present a two-stage approach that quickly filters suspected groups using statistical testing on an IRT-based answer-copying index. We also present an approach to mitigate data contamination and improve the performance of the index. The computation of the index was implemented through a modified version of an open source R package, thus enabling wider access to the method. Using data from PIRLS 2011 (N=64,232) we conduct a simulation to demonstrate our approach. Type I error was well-controlled and no control group was falsely flagged for cheating, while 16 (combined n=12,569) of the 18 (combined n=14,149) simulated groups were detected. Implications for system-level cheating detection and further improvements of the approach were discussed.

This research aims to test (1) the effectiveness between problem posing learning model with Indonesian realistic mathematical education approach and problem posing learning model on written mathematical communication skills, (2) the effectiveness between field-independent and field-dependent cognitive styles on written mathematical communication skills, (3) the effectiveness between problem posing learning model with Indonesian realistic mathematical education approach and problem posing learning model on the written mathematical communication skills from each cognitive style, and (4) the effectiveness between field-independent and field-dependent cognitive styles on written mathematical communication skills from each learning model. This quantitative research employed a quasi-experimental method. The research sample consisted of 240 fifth-grade elementary school students in Jebres District, Surakarta, Indonesia. Data collection techniques included tests of written mathematical communication skills and cognitive styles. The data were analyzed using prerequisite (normality, homogeneity, and balance), hypothesis, and multiple-comparison tests. The findings prove that (1) PP model with Indonesian realistic mathematical education approach is more effective than the PP and direct instruction models, (2) field-independent cognitive style is better than field dependent, (3) PP with Indonesian realistic mathematical education is as effective as the PP model, but more effective than the direct instruction model, and the PP model is more effective than the direct instruction model in each cognitive style, and (4) in the PP learning model with Indonesian realistic mathematical education approach, field-independent cognitive style is same skill as with field-dependent, but field-independent is better than field-dependent cognitive style in the PP and direct instruction learning models.

This study aimed to investigate the degree to which teachers in Qatar implement differentiated instruction as well as the impact of years of experience, qualifications, grade, school subjects and training on teachers’ use of differentiated instruction. Also the study tried to explore the obstacles impeding the application of differentiate instruction. The study targeted all early childhood teachers (1,836) in 99 Qatar public schools spreading across the country. A random sample of 236 teachers, accounting for 12.9% of the population participated in the study. Following the mixed approach, the researchers used questionnaires and interviews to collect the data. The results showed no statistically significant differences among the respondents in the degree of application of differentiated instruction due to training and qualifications; however, statistically significant differences were detected in relevance to years of experience, grade, and the subject being taught. The study also found an agreement among teachers on the obstacles they face during their application of differentiated instruction, most notably the teaching load, class size, and time. The study concluded with recommendations for education providers, teachers and researchers.

The objective of this research is to analyze the twelfth graders' mathematics critical thinking skills using a mathematics learning model to stimulate fundamental critical thinking abilities of science courses in SMA Negeri, Pacitan Regency, East Java Province, Indonesia. This quasi-experimental research design was used in this study with one group posttest only design using multiple substantive posttests. The sample of 141 students from the total population of six public schools involving the twelfth graders of the natural sciences was selected through purposive sampling technique, data were taken through tests of students' critical thinking skills and interviews. The data analysis consists of five stages, namely an analysis of one sample t-test, an analysis of students' grades, an analysis of problem-solving stages, an analysis of critical thinking abilities indicators, and an analysis of mathematics critical thinking abilities indicators. The results showed (1) The results of the one sample t-test show that the mathematics learning model is effective to stimulate critical thinking, which means that the application of the mathematics learning model is effective to stimulate critical thinking; (2) the overall grades of students that met the minimum mastery criteria; (3) the data analysis of eleven problem-solving stages proves that the criteria for critical thinking abilities are categorized as good and very good. The highest score indicator considers the principle and definition of transformation, while the lowest grade indicator is mainly concerned with the questions on right and coherent steps; (4) the critical thinking skills have seven indicators that highlight the criteria of students' critical thinking abilities categorized as good and very good. The indicators that get the highest score determine the definitions of terms, while the indicators of the lowest score determine the action; (5) the results of the analysis show indicators of mathematics critical thinking skills that have eight indicators. The criteria of students' critical thinking abilities met good and very good categories along with indicators with the highest value score by considering the definitions of terms, while the indicators of the lowest score deal with the habit of caution.

An evidence-based, interactive teaching method peer instruction (PI) is promoted to support effectiveness over more commonly used teaching methods. Usually it is proposed for the university and upper secondary school. The research reports on the implementation of the PI approach in teaching subject Science and Technology (S&T) in the 4th grade of primary school. The aim of this research was to verify the feasibility of this approach for much younger students in primary school by evaluating the students’ progress in the subject S&T, identifying the differences in individual progress in relation to students’ general learning success, and determining students’ opinions about the approach and where no desired progress has been made. In a selected Slovenian primary school, a classroom with 26 students (age 9 – 10) was included in the study and 5 different content areas (Earth’s motion, Matter, Magnetism, Forces and motion, and Electricity) were taught using this PI approach. Results show that students made progress in all content areas and no differences were identified in the progress of individual students in terms of general learning success. Students were satisfied with the approach, although more than half of them found the multiple-choice questions as too difficult. Although the PI approach is successful, teachers must be aware that some persistent and widespread misunderstandings may still remain and require additional intervention.

The current study investigated Student-Teacher Relationship Measure (STRM) psychometric properties using Rasch analysis in a sample of middle school female students (N = 995). Rasch Principal Components Analysis revealed psychometric support of two subscales (i.e., Academic and Social Relations). Summary statistics showed good psychometric properties. The category structure and individual statistics (i.e., items and person infit and outfit) were not ideal. Category structure showed that the distances between adjacent thresholds were lower than optimal criteria. Even though findings indicated that items mean square statistics (MNSQ) were optimal, standardized fit statistics (i.e., ZSTD) reflected many misfit persons and items in each subscale. After eliminating the misfit persons and items, the two subscales met the Rasch optimal criteria. The updated short 22-item scale had good psychometric properties, high item and person separation, and good item and person reliability for the two subscales and can be used as a reliable and valid scale.

Visual representations and the process of visualisation have an important role in geometry learning. The optimal use of visual representations in complex multimedia environments has been an important research topic since the end of the last century. For the purpose of the study presented in this paper, we designed a model of learning geometry with the use of digital learning resources like dynamic geometry programmes and applets, which foster visualisation. Students explore geometric concepts through the manipulation of interactive virtual representations. This study aims to explore whether learning of geometry with digital resources is reflected in higher student achievements in solving geometric problems. This study also aims to explore the role of graphical representations (GRs) in solving geometric problems. The results of the survey show a positive impact of the model of teaching on student achievement. In the post-test, students in the experimental group (EG) performed significantly better than students in the control group (CG) in the overall number of points, in solving tasks without GR, in calculating the area and the perimeter of triangles and quadrilaterals than the CG students, in all cases with small size effect. The authors therefore argue for the use of digital technologies and resources in geometry learning, because interactive manipulatives support the transition between representations at the concrete, pictorial and symbolic (abstract) levels and are therefore important for understanding mathematical concepts, as well as for exploring relationships, making precise graphical representations (GRs), formulating and proving assumptions, and applying different problem-solving strategies.

Recent educational policy initiatives in Ireland have focused on improving outcomes in reading and mathematics among students, particularly those experiencing educational disadvantage. However, science achievement in Irish primary schools has received much less research attention, especially in the context of educational disadvantage. This article examines science achievement and its relationship to school compositional effects in primary schools at the national level, including school-average indicators of the school context, as well as examining factors associated with science achievement in three distinct categories of schools (those with high, moderate, or minor levels of educational disadvantage). The data are drawn from the Fourth grade Trends in International Mathematics and Science Study (TIMSS) 2015 database for Ireland. Multilevel analyses were implemented in a stepwise manner. Findings suggest the relevance of school contexts with regard to science achievement. Before including school-level contextual variables, students from ‘minor disadvantaged’ schools achieved significantly higher science scores than students from schools with ‘moderate’ or ‘high’ levels of disadvantaged. However, this difference disappears after controlling for predictors at the school level. The findings highlight the importance of the home environment, including early numeracy activities and skills before children start school. Results are discussed with regard to educational policy and educational practice in Ireland.

In today's World, data-driven methods are behind the determination of potential action plans in every area of life. These data-driven methods help individuals or policymakers to figure out the strengths and weaknesses on the subject that are worked on and to make a comparison to the best practices. Thus, actions can be taken immediately on the specific factors that have a huge impact on the topic investigated. In the educational area, countries are using the same approach to measure, monitor, and improve the quality of education by attending international studies. In this study, for both Turkish and Singaporean students, Artificial Neural Network (ANN) model is performed to predict the students' mathematics achievement and to identify factors that have a high impact on achievement using Trends in International Mathematics and Science Study (TIMSS) in 2019 with the data of 3,586 Turkish and 4,750 Singaporean students. The reason behind comparing the results of Turkey to Singapore is that Singapore is the best-performing country in terms of mathematics achievement in the TIMSS in 2019. The model results show that the top two crucial factors in both countries are the frequency of absenteeism from school, and students’ confidence in mathematics with the accuracy of 75%. In addition, relevant policy implications are given based on the importance level of significant factors.

School quality has become a guiding concept that increasingly shapes educational planning and school development. For many decades, it has been a topic of significant interest, resulting in a wide-ranging and diverse research field. However, it is far from clear how school quality should be defined, what it should encompass, and how it influences student performance. The goal of this scoping review is to examine the existing evidence of the relationship between characteristics of school quality and student cognitive output/ student performance in secondary school. More precisely, it aims to (a) identify, (b) categorize, and (c) examine and evaluate the effects of characteristics of school quality affecting student performance and teaching characteristics in secondary school. In order to achieve these aims, we selected, clustered, and analyses 37 articles. The process was conducted by the research group through regular meetings, discussions, and consensus decisions. Our findings contribute to the comprehensive body of literature by identifying the following dimensions: aims and strategies for quality development, leadership and management, professionalism, school culture, and resources. Furthermore, the review revealed that although the field of school quality has been extensively researched, it lacks consistency, with many different operationalisations and definitions, making comparisons and syntheses challenging or even impossible. We believe that clear operationalisations and definitions are crucial to achieving comparability. Additionally, to achieve a standardized understanding of school quality and establish the categories internationally, uniform, theoretically sound, and content-related definitions of each category are necessary.

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.

This study aimed to compare and examine the effectiveness of interactive STEM learning and paper-and-pencil STEM learning in terms of mathematical literacy skills of elementary school students. This research is of a quasi-experimental type with a non-equivalent pretest-posttest control group design. Sampling was carried out on the elementary school populations in Bengkulu and South Sumatra Provinces in two stages. In the first stage, schools in rural and urban areas were selected, and in the second, classes in each school were randomly selected. The selected sample consisted of fifth-grade students of the Public Elementary School of Terawas, Musi Rawas, with an experimental class A (n = 20) and an experimental class B (n = 19), as well as fifth-grade students of the Public Elementary School of Bengkulu City, with an experimental class A (n = 25) and an experimental class B (n = 22). Data collection was conducted using mathematical literacy skills tests in reference to the PISA and Minimum Competency Assessment (level 1–3). Data analysis was performed using descriptive and inferential statistics; it employed an independent t-test for the comparative testing and an N-gain test for testing the effectiveness of STEM learning. The results showed that there were differences in math literacy skills between interactive STEM and paper-and-pencil STEM for students in urban schools, but not significantly different for students in rural schools. General STEM learning was effective in increasing the literacy of elementary school students, and interactive STEM in particular demonstrated the highest level of effectiveness in the urban school.

This study explores the extent to which the gendered views exist among students in Kosovo’s compulsory education (primary and lower secondary schools) regarding mathematics and reading. It analyzes students’ perceptions of these academic domains concerning the performance of their peers (the same others) from the gender perspective. Additionally, it examines students’ perspectives on the opinions of their parents and teachers (their significant others) regarding girls’ and boys’ performance in math and reading. Furthermore, the study investigates whether students hold gender-stereotypical attitudes toward professions related to math and those that heavily rely on reading skills. The survey method was used to conduct this study. A sample of 531 students in compulsory education participated in this study, completing a paper-based questionnaire consisting of 14 items evenly distributed between mathematics and reading. The findings indicate that around half of the respondents believe that girls and boys perform equally well in both mathematics and reading and that parents and teachers hold the same views regarding the performance of their children/students in these academic domains. However, among the remaining portion of respondents who expressed gendered views, a higher percentage favored boys as being more proficient in math, while girls were seen as superior in reading skills. This study emphasized the need to address and mitigate these gender stereotypes, to ensure that students of both genders can pursue their careers successfully without any limitations.

This study aims to develop a Critical Thinking-Independent Learning (CTIL) model to improve students' critical thinking skills that meet valid, practical, and effective criteria. This type of research was Research and Development (R&D), with a one-group pre-test and post-test design without a controlled class. The CTIL model was validated by three experts in the field of science education and then tested on 156 students in three public junior high schools in Surabaya, Indonesia. The results revealed that: (a) The CTIL model was valid based on the model validity score with an average of 3.73 (very good category) and the validity score of the learning materials with an average of 3.72 (very good category); (b) The practical CTIL model based on the averaged observations of the implementation of learning using the CTIL model was 3.88 (very good category); and (c) The CTIL model was effective based on four determining factors, namely: an increase in critical thinking skills, which was statistically significant at alpha .05; the calculated mean N-gain of .72 (high category), similar mean values for all test classes in all schools participated in this study; the effect size of 3.07 (strong category); and the average student response of 84% (very good category).

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.

<p style="text-align:justify">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&rsquo; 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.</p>