Because of the importance of intellectual disability teenagers fulfilling the daily life skills by themselves, an animation that shows the intellectual disability and autistic high school students an interactive shopping skill by means of iPad was played and its effect on providing them with the independent shopping skill was analyzed. 3 intellectual disability and autistic students attending The Umit Kaplan Vocational Education Center that offers a High School- Level Training in Ankara have participated in the research in 2013-2014 School Year. The ages of the students range between 17-19 years. The dependent variable of the research is the participants’ levels of performing the shopping skills from a supermarket. The independent variable is, however, the animation practices that indicate the interactional shopping skills presented through iPad. The design of the research is the “multiple probe design across subjects” which is one of the single-subject designs.

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.

Lesson starts are transitional events which may cause management problems for teachers This study sought junior secondary school mathematics teachers’ beliefs about calculator use in mathematics instruction in Botswana and was descriptive in nature adopting a survey design. The sample of seventeen (17) mathematics teachers from four (4) junior secondary schools in the Tutume Sub-district in Central Educational Region was selected through a purposive random sampling procedure. A questionnaire comprising both closed and open ended questions was designed to collect data then the analysis of results was carried out using descriptive and inferential statistics. As an illustration, a t-test was used to test for differences in teachers’ beliefs by gender while a one-way ANOVA was used to test for difference in their beliefs by experience. The study revealed that most of the teachers expressed their lack of confidence and were incompetent with the use of a calculator in their teaching with female teachers feeling less confident to explain different functions of a calculator than their male counterparts. In addition, the study showed that most of the teachers believed that a calculator was a technological tool that could be useful to the students in the future. On the contrary, most teachers felt that the overuse of calculators by the students could hamper the development of basic computational skills. Therefore, it was recommended that school based training on calculator use should be provided so as to empower teachers with the necessary technological skills for effective classroom instruction. The study findings have implications to research and practice as it provides unique and comprehensive data that will lead to insight for curriculum designers, policy implementers and instructional leaders on effective calculator use in math instruction.

All over the world, countries are paying close attention to how teachers are recruited, selected, and prepared for the nation’s schools. Increasingly, teachers are expected to teach all students to high standards at the same time that they play a major role in meeting rising expectations regarding social equity. Preparing teachers for these challenges is among the most pressing and complex tasks in teacher education. In response to these and other challenges, some initial teacher education programs now include among their major goals preparing teachers to teach for social justice, work toward equity and access for all students, and/or challenge inequities in existing educational systems and policies. This article focuses on three initial teacher education programs—one each in the United States, New Zealand, and Ireland. Although these programs differ from one another in many ways, they also share some goals related to teaching for social justice and equity. The article examines longitudinal survey data regarding teacher candidates’ scores on the “Learning to Teach for Social Justice-Beliefs” scale, which was designed to measure candidates’ endorsement of beliefs consistent with the concept of teaching for social justice. For each of the three research sites, the article analyzes: (a) demographic and teacher quality contexts, (b) initial teacher education program goals related to social justice/social equity, and (c) the results of surveys administered to teacher candidates at entry to and exit from the programs. The article concludes with discussion of learning to teach for social justice as a cross-cultural concept.

The aim of this study was to explore the degree to which a professional development (PD) program designed using GeoGebra influences a group of Turkish middle school teachers’ beliefs in relation to mathematics and role of GeoGebra in mathematics education. In order to collect the required data, the PD course was established to provide six teachers with an opportunity to obtain practical experiences with and necessary knowledge about the use of GeoGebra in mathematics education. In this context, a multiple case study approach was utilized, in which mathematics teachers were observed and interviewed using a variety of procedures to expose qualitative data about their beliefs and the dynamics of their beliefs changes during the course. The main findings illustrated that teachers’ beliefs were transformed to some extent in favour of the use of GeoGebra, as well as using constructivist ideas in their mathematics teaching and learning can be attained through the GeoGebra based PD course. In fact, the relationship amongst stated beliefs and intended teaching practice is complex and the social issues were very influential on teachers’ pedagogical decisions. This research also introduces some suggestions for researchers who focus on professional development of mathematics teachers relative to their beliefs..

Teacher education has been innovated in Brunei to support the ongoing inclusive education and curriculum reforms. This survey investigated the development of essential instructional skills in initial Brunei trainee teachers. The sample consisted of 109 student teachers (71 females and 38 males). Significant mean scores (Mean ≥ 4, p< .05) and 95% confidence intervals were used to identify the levels of proficiency and enablers of success in teaching. Participants were proficient on 15 of the 28 skills measured by the Teacher Behaviors Checklist (Approachable; Confident; Effective communicator; Encourages; Enthusiastic; Flexible; Good listener; Humble; Prepared; Professional; Rapport; Respectful; Sensitive; Striving to be a better teacher; Understanding). From independent groups, T-tests and One-Way ANOVA analyses, other significant trends in participants’ performance emerged at p< .05 level of evaluation. Females scored highest on Humble and Realistic expectations while males scored highest on Understanding. Trainee teachers aged 31-35 scored highest on: Promoting critical thinking; and Providing constructive feedback, than counterparts. Participants with higher degrees (e.g. Master of Arts) scored higher on Authoritative skills than those with lower degrees (e.g. Bachelor of Arts). Trainees with teaching experience scored significantly higher on: Accessible; Knowledge about the subject matter; and Technological competence, than those with no experience. The findings suggest the need to help pre-service teachers to gain proficiency in all teacher skills to improve the quality of education in the country. Further research was recommended.

Mathematics is one of the most challenging subjects for many students. A similar problem is faced by special needs students, such as students with Autism Spectrum Disorder (ASD). Various instructional strategies are implemented by specialists to help ASD students understand mathematics in schools. To explore the impacts of an instructional strategy of mathematics on ASD students, the authors conducted a review of literature from 2011 to 2017 using various databases including ProQuest Digital Dissertations and Theses Full Text, Google Scholar, and Science Direct. A total of 39 articles were found. Most of the instructional strategy aimed to assist ASD students in solving mathematics problems. The implications of the study are also discussed in this literature review, which indicates that teachers need to use the appropriate instructional strategy to meet the needs of students with ASD and maximize their mathematics learning outcomes in schools.

This study was intended to display the role of eco-school program (Adiwiyata) towards environtmental literacy (EL) of high school students by analyzing, (a) EL of students in Adiwiyata and non-Adiwiyata high schools, and (b) EL of students in Grade X and XI, Adiwiya and non-Adiwiyata high schools in Malang-East Java, Indonesia. The survey involved 275 students. The respondents were from four state high school i.e. SMAN 1, SMAN 3, SMAN 4, and SMAN 7. Data were taken via MSELS questionnaire that was modified and filled online. Aspects of EL include ecological knowledge, environmental affect, cognitive skills, and behavior. The results of multivariate analysis showed that the level of students’ EL was significantly influenced by school type and grade. However, the interaction both of them had no significant effect on their EL. Univariate results on school type factor informed that significant differences occured in all aspects of EL, where the lower identified level of students in Adiwiyata schools compared to Non-Adiwiyata was only in the environmental affect. On the other hand, the significant influence of grade level only occurred in cognitive skills aspect. Broadly speaking, all data analyzes concluded that the application of the Adiwiyata program was able to bring a positive impact on the level of students’ EL. There was also a tendency that the higher the student's grade, the better their EL level.

The study aims at investigating basic level schoolteachers' awareness of their students' mathematics learning disability (MLD) in the context of Nepal. It is based on a mixed-method research design in that it combines both qualitative and quantitative approaches as appropriate. Using the stratified random sampling technique, 300 basic level mathematics teachers were selected from 150 basic level (grades 1-8) community and institutional schools representing the three significant ecological regions (the Mountain, the Hill, and the Terai) and demographic variables (gender, place of residence, and school type) from Province 1 of Nepal. A Mathematics Learning Disability Awareness Scale (MLDA-Scale), was developed and used to measure the basic level schoolteachers' awareness of their students' MLD. Besides, a semi-structured interview was conducted with the purposively selected basic level schoolteachers for the qualitative data. The basic level schoolteachers' awareness of MLD factor categories was calculated using descriptive statistics. Similarly, t-tests were conducted to examine the effects of the demographic variables. The qualitative data, however, were analyzed thematically. The results reveal that the majority of the basic level schoolteachers' knowledge toward their students' MLD was inadequate and that the demographic variables had no significant effects on the teachers' knowledge of their students' MLD. Finally, the study recommends developing the managerial practices regarding the MLD issue further.

Problem-solving is considered one of the thinking skills that must be possessed in 21^st-century education because problem-solving skills are required to solve all problems that arise. The problem-solving stages that can be used are Polya's four steps, namely, understanding the problem, devising a plan, carrying out the plan, and looking back. Problem-solving skills are essential for solving word problems. Word problems based on arithmetic operations are divided into three types: one-step, two-step, and multistep. This qualitative research aimed to see problem-solving skills viewed from the type of word questions and elementary school students’ third, fourth, and fifth grades. A purposive sampling technique with 22 third-grade students, 28 fourth-grade students, and 21 fifth-grade students was used. The data were collected using documentation, testing, and interview methods. The findings of the study showed that fourth-grade students’ problem-solving skills are better than those of third-grade students, and the problem-solving skills of fifth-grade students are better than those of fourth-grade students. The percentage of Polya's steps always decreases because not all students master problem-solving. Based on the types of questions, the percentage of the one-step word problem is better than that of the two-step while the percentage of the two-step word problems is higher than that of the multistep.

This article contributes to the evidence base on the significance of context in enacting social justice leadership. It draws on data from the International School Leadership Development Network of 20+ countries who adopted a common qualitative approach involving interviews with principals identified as being social justice leaders. The article focuses on four case studies of Irish principals in varying primary elementary school contexts. Findings reveal local contextual features significantly impacted principals' perceptions, actions, and self-efficacy as social justice leaders. While the actions and motivation of the principals is similar, two of the principals, working in school contexts where the values and norms are not consonant with broader society, appear to lack confidence in their practice of social justice leadership. This article extends the existing evidence base by arguing for enhanced critical consciousness of all stakeholders related to the personal, institutional and community contexts in schools. It recommends a more flexible and iterative process of policy development to facilitate a more nuanced understanding of the cultural and ideological struggles in schools. Finally, it calls for governments and policy makers to take responsibility for and support disadvantaged communities as education alone cannot solve the issue of inequity.

Numeracy is one of the essential competencies that the objectives of teaching math to primary students should be towards. However, many research findings show that the problem of “innumeracy” frequently exists at primary schools. That means children still do not feel at home in the world of numbers and operations. Therefore, the paper aims to apply the realistic mathematics education (RME) approach to tackling the problem of innumeracy, in the case of teaching the multiplication of two natural numbers to primary students. We conducted a pedagogical experiment with 46 grade 2 students who have not studied the multiplication yet. The pedagogical experiment lasted in six lessons, included seven activities and nine worksheets which are designed according to fundamental principles of RME by researchers. This is mainly a qualitative study. Based on data obtained from classroom observations and students’ response on worksheets, under the perspective of RME, the article pointed out how mathematization processes took place throughout students' activities, their attitudes towards math learning, and their learning outcomes. The study results found that students were more interested in math learning and understood the concepts of multiplication of two natural numbers.

This paper investigates the quantitative literacy and reasoning (QLR) of freshmen students pursuing a Science, Technology, Engineering, and Mathematics (STEM)–related degree but do not necessarily have a Senior High School (SHS) STEM background. QLR is described as a multi-faceted skill focused on the application of Mathematics and Statistics rather than just a mere mastery of the content domains of these fields. This article compares the QLR performance between STEM and non-STEM SHS graduates. Further, this quantitative-correlational study involves 255 freshman students, of which 115 have non-STEM academic background from the SHS. Results reveal that students with a SHS STEM background had significantly higher QLR performance. Nevertheless, this difference does not cloud the fact that their overall QLR performance marks the lowest when compared to results of similar studies. This paper also shows whether achievement in SHS courses such as General Mathematics, and Statistics and Probability are significant predictors of QLR. Multivariate regression analysis discloses that achievement in the latter significantly relates to QLR. However, the low coefficient of determination (10.30%) suggests that achievement in these courses alone does not account to the students’ QLR. As supported by a deeper investigation of the students’ answers, it is concluded that QLR indeed involves complex processes and is more than just being proficient in Mathematics and Statistics.

Numerical thinking is needed to recognize, interpret, determine patterns, and solve problems that contain the context of life. Self-efficacy is one aspect that supports the numerical thinking process. This study aims to obtain a numerical thinking profile of Mathematics pre-service teachers based on self-efficacy. This study used descriptive qualitative method. The data obtained were based on the results of questionnaires, tests, and interviews. The results of the self-efficacy questionnaire were analyzed and categorized (high, moderate, and low). Two informants took each category. The results showed the following: informants in the high self-efficacy category tend to be able to interpret information, communicate information, and solve problems with systematic steps. Informants in the moderate self-efficacy category tend to be able to interpret and communicate information, but tend to be hesitant in choosing the sequence of problem-solving steps. Meanwhile, informants in the low self-efficacy category tend not to be able to fully interpret the information. As a result, the process of communicating information and solving problems goes wrong. Another aspect found in this study is the need for experience optimization, a good understanding of mathematical content, and reasoning in the numerical thinking process.

Mathematics anxiety in initial teacher education is a growing issue that reflects on teacher quality and their student’s maths anxiety and abilities. Previous studies have presented a range of different perspectives to mathematics anxiety. We aimed to explore further the reasons of mathematics anxiety in preservice teachers and suggest some intervention strategies in reducing maths anxiety for initial teacher education systems. We used a mixed methodology in this research analysing both qualitative data along with some quantified data derived from qualitative data sources. The findings provide insights to causes of maths and test anxiety along with some intervention strategies that teacher educators can use in their future teaching.

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.

The study aims to identify how kindergarten teachers perform early literacy assessments in the classroom and the challenges these teachers have in performing such assessments. During the study, the data were gathered through an in-depth interview in the form of a forum group discussion (FGD). Then, the phenomenological data were attained from 30 public and private Kindergarten teachers. The researchers could illustrate how these kindergarten teachers assessed their children's early literacy through these data. Furthermore, the study results show that the teachers' literacy knowledge has been sufficient and that the literacy programs for the children have been variously designed in each school. The teachers' techniques in performing the early literacy assessment are observation and documentation (portfolio), and the measurement of literacy skills itself refers to the scope of literacy. Concerning the findings, numerous obstacles and expectations that kindergarten teachers have are also discussed within the study.

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.

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.

An earlier study found that assistive technology based on mobile applications significantly improved how social skills were taught to and learned by autism spectrum disorder (ASD) children. Nevertheless, the content of the existing mobile applications is inadequate for capturing the diversity of Malaysian culture, making it unacceptable for local use. Considering cultural norms is a factor in developing social skills in ASD children. It is therefore necessary to develop new assistive technology based on mobile applications that consider Malaysian cultural norms.  As a result, the Multimedia Interactive Social Skills Module (MISSM) application was created based on the Addie Model, which offers a systematic process for assisting in developing successful instructional material by fusing instructional theory with learning theory. The MISSM application is based on Malaysia's current social skills curriculum, which helps ASD children become socially competent. Hopefully, it will help them develop better social skills and achieve academically. Finally, local culture-sensitive material for assistive technology based on mobile applications would support Malaysia's adoption of a technology-based teaching and learning strategy and contribute to a better understanding of social skills.