In this paper, the categories and influence of teachers’ classroom characteristics relative to effective mathematics teaching in secondary schools in Plateau state, Nigeria were examined. The aim was to see how students are assisted to learn mathematics from teachers engaging fully their professional practices fully. Exploratory and descriptive survey research methods were used to examine the trajectories. Sample for the study consisted of 60 trained mathematics teachers from secondary schools in Plateau state that participated in a week-long capacity building workshop on teaching new concepts from secondary school mathematics curriculum in Nigeria organized recently by the state chapter of the Mathematics Association of Nigeria. Purposive sampling technique was used to select the sample based on the fact that the study targeted only mathematics teachers that participated in the capacity building workshop. A 52-item TCCQ on teacher effectiveness, interest, rapport with students, etc. was used for data collection. The findings from the study revealed that mathematics teachers’ ability to teach effectively is significantly associated with many factors including the use of different strategies (χ2=52.75), revision (χ2=47.13), good lesson plans (χ2=53.93) and being friendly with students (χ2=35.66). There was no significant variation regarding how the characteristics influence teacher effectiveness based on qualification (F2, 58=0.689). Among other things, therefore, it was recommended that teachers should be committed to teaching mathematics effectively in the classroom by taking cognizance of the variables especially designing of good lesson plans and previous knowledge irrespective of their qualifications.

School education should not only provide students with content knowledge but also with effective skills that will be appropriate in their adult lives, such as the competence in solving problems individually or being able to work as a member of a team. Students should be active participants instead of passive listeners in their lessons. There is a wide variety of teaching methods that practicing teachers can choose from to make their lessons varied. The present article explains the outline of an experiment that was based on Spencer Kagan’s cooperative learning focusing on one particular lesson. The mathematics lesson was planned using cooperative teaching techniques and was taught in secondary mathematics education. We analyse how well cooperative learning can be used for improving participation and effective problem-solving in the classroom.

A mathematics instructor with limited knowledge of content and pedagogy has little room for improvement or novelty in the classroom or the ability to arouse students' interest in learning mathematics. This case study was conducted in a foundation center of one of the public universities in Malaysia. The target of current research was to investigate the influence of lesson study (LS) on lecturers’ pedagogical content and content knowledge. The LS group comprises of seven lecturers of the mathematics group and the researcher. The group collaboratively prepared a research lesson on the subject of even and odd functions. Data gathered through interviews and observations on the lecturers’ activities in discussion meetings. Data from observations and interviews were analyzed descriptively and through thematic analysis method respectively. The results of this study show lecturers improved their knowledge in content and pedagogy considerably about even and odd functions. They enhanced their teaching knowledge through collaborative work and sharing of experiences. It seems the findings of this research not only help lecturers to have better performance in teaching the even and odd functions but also encourage them to experience the LS approach in teaching other mathematical concepts.

This paper reports on part of an ongoing large-scale research on the need to improve science teaching and learning through investigating the Pedagogical Content Knowledge (PCK) of biology teachers for the topic Biodiversity. Six factors have been seen to affect teacher PCK, i.e., content knowledge, knowledge of students, science teaching orientations, knowledge of assessment, knowledge of instructional strategies and knowledge of the curriculum. This research aimed to examine the teacher’s level of content knowledge (CK). A qualitative research paradigm was adopted, and a case study research design used. The case (unit of analysis) was Biology teacher CK, and the subjects were the four teacher participants purposively selected. Lesson observations, teacher interviews and learner questionnaires were used to collect data on teacher CK. A content knowledge analytical framework consisting of five constructs was designed and used to analyse the teacher CK and data triangulated with data collected from interviews and questionnaires. This research revealed that ‘A’ level Biology teachers’ CK vary from teacher to teacher depending on several factors which include teacher identity, planning, workshopping, and motivation among others. Of the four Biology teacher participants, two had adequate CK and the other two exhibited inadequate CK. Inadequate CK was attributed to lack of planning, non-exposure to workshops and lack of teacher motivation. Consequently, this research recommends supervision of teachers from school level to national level, a series of teacher workshops on the demands of the competence-based curriculum and constructive teacher identity as well as introduce factors that enhance teacher motivation. Further research on the content knowledge of Biology teachers in other learning areas is recommended.

Teachers and teaching styles are two important factors influencing students’ academic performance. In this action research study, we investigated the differential effectiveness of two teaching methods, conventional learning (CL) and peer-cooperative learning (PCL), on students’ academic performance in fractions. A sample of 120 tenth grade mathematics students from Ibadan North Local Government Area of Oyo State in Nigeria was used for the study. The students were selected from three different secondary schools and grouped into two groups: the experimental (PCL) group and the control (CL) group, each having 60 students. A sample of 5 multiple-choice objective and 5 theory test questions titled Fraction Performance Test (FPT) was used to measure their academic performance after the treatment, and the assessment test scores were recorded. Descriptive statistics of the mean were used to answer the research question, while the two-way ANOVA technique was adopted for testing the research hypothesis at an alpha of 0.05. Summarily, the F (3, 116) statistic (= 8.55, p < .001) indicates significant differences in the effectiveness of the teaching methods. The mean scores also reveal that peer-cooperative learning was more effective than the conventional teaching approach. While the former proved to be a more efficacious treatment for female students, the latter was more suitable for male students. We recommend that different approaches be attempted by teachers, and the most effective in overcoming students’ resistance to learning and improving their academic performance be adopted.

Online learning platforms and resources created by the Indonesian Ministry of Education, Culture, Research, and Technology were a blessing in disguise out of the unprecedented school closure caused by the Covid-19 pandemic. These learning resources are yet to be examined to ensure their usability and their role in improving the quality of learning in science classes. This study analyzed the learning modules and a sample lesson plan from the Teachers Learn Teachers Share platforms based on the three-dimensional learning framework. It examined to what extent is the 3-dimensional learning framework incorporated into the grade 4 learning modules and lesson plan on Energy. The methodology for analyzing the sufficiency of disciplinary crosscutting concepts, scientific practices, and core ideas applied here will enrich the Science, Technology, Engineering, and Mathematics (STEM) based education corpus of knowledge. Findings show that the disciplinary core ideas dimension is the most sufficiently covered of all three dimensions while the practices dimension is only partially covered as some of the points are mostly inferred, and the crosscutting concepts dimension still shows much room for improvement. Primary school teachers and schools’ curriculum development units should enrich the learning modules by expanding the discussions on the module coverage with crosscutting concepts.

Recent studies in mathematics education have focused on students' geometric problem-solving abilities, self-regulation, and the problem-based learning (PBL) model. The goal of this study is to examine how well junior high school students' self-regulation and geometric problem-solving skills are enhanced by the PBL model. In this study, quantitative methods using a quasi-experimental design were used. The sample consisted of 45 students from Amanatul Ummah junior high school in Mojokerto, Indonesia. Five types of instruments were utilized to collect data for this research, namely Syllabus, lesson plans, student worksheets, Self-Regulation Questionnaire (SRQ), and Geometry Problem-solving Test (GPST). The outcomes of the N-Gain test demonstrated how well the PBL model works to help students develop their capacity for self-regulation and geometric problem-solving. Apart from that, there are some notable differences between the traditional technique and the experimental class that is taught using the PBL paradigm. It is advised that similar trials be conducted in the future with a larger population and sample size. In both public and private junior high schools, it is strongly advised that more research be done with a larger population and sample size. Future researchers can also expand the study materials of geometry, not only to flat-sided geometric shapes but even further to curved-sided geometric shapes and also other subject matters.

Scaffolding dialogue is a concept in learning that refers to the support or assistance given to individuals during the dialogue process. The main objective of this research is to create a basic structure of dialogue to help and support students during the learning process in improving their algebraic reasoning skills. Algebraic reasoning is a process in which students generalize mathematical ideas from a certain set of examples, establish these generalizations through argumentative discourse, and express them in a formal and age-appropriate way. The study was designed using the grounded theory qualitative model method, which used three sequential steps: open coding, selective coding, and theoretical coding. The research was conducted on students of the mathematics education department at Universitas Islam Sultan Agung. Data collection methods include algebraic reasoning ability tests, questionnaires, and interviews. Data analysis in grounded theory is an iterative and non-linear process that requires researchers to constantly move back and forth between data collection and analysis. This process aims to produce a theory that is valid and can explain phenomena well based on empirical data obtained during research. The dialogue scaffolding strategy framework in improving students' algebraic reasoning abilities includes instructing, locating, identifying, modeling, advocating, exploring, reformulating, challenging, and evaluating.

We aimed to explore how Early Childhood (EC) preservice teachers (PSTs) choose and apply content-specific mathematics and science standards by analyzing two sets of lesson plans and two transcripts from whole class discussions from an EC mathematics and science methods course. From our analyses, we identified major themes and explanatory categories that indicated issues related to PSTs’ standards selection process. Students’ reasoning about their choices illustrated the resiliency of their beliefs about teaching and learning EC mathematics and science, and how their own observation experiences prevailed over our explicit instruction and assignment expectations. Drawing from literature related to Lortie’s (1975) Apprenticeship of Observation, we use our findings to consider ways to better appreciate and mitigate the strength of PSTs’ incoming beliefs on their readiness to plan for and implement lessons. 

Data from over 1,500 middle-grade mathematics students were used to investigate their mathematical affect and identity. Early secondary students were asked if they considered themselves mathematicians and a prompt was employed to substantiate their mathematical identity. Separating by gender and grade affiliation (6, 7, and 8), Chi-square and Z-score analyses were used to compare subgroups. Data show that the gap in male and female mathematics identity and affect is shrinking. Though progress has occurred in encouraging young women to consider themselves mathematicians, work remains. Consistent with previous research concerning the sustained and relatively permanent nature of mathematical affect/identity at grade six, in this study it appeared to become stable near grade 7 (approximately age 13). Perhaps not ironically, grade seven appears to be the age at which adolescents enter a period of successful abstract reasoning, and the age (13) aligns with the beginning of pre-algebra for many grades seven students.