Technology-Integrated Instructions and Basic Mathematics Skills Acquisition in Public Secondary Schools in Rwanda: A Case of Nyagatare District

This research investigated the effects of technology-integrated instructions on basic mathematics skills in Rwandan secondary education. The study aimed to assess the types of technology-integrated instructional methods used for acquiring basic math skills in Rwandan public secondary schools, assess the level of mathematics skills and performance in these schools, and determine the relationship between technology-integrated teaching and the acquisition of basic math skills. Schools were selected based on their location and type. Theory used in this research project was cognitive load theory and constructivism theory. The target population included 214 teachers, 422 students, and 80 head teachers, total of 716 respondents, with a sample size of 257 participants. Data was gathered using questionnaires, interviews, and observation, employing purposive, stratified, and simple random sampling methods. Both qualitative and quantitative data collection and analysis methods were used. Qualitative data were analysed through content analysis, while quantitative data were presented using descriptive statistics (frequency, percentage, mean, and standard deviation) and inferential statistics (correlational and regression analysis) with IBM SPSS Version 21.0. Findings for the first objective showed that 85.7% of respondents strongly agreed on the use of computer algebra systems, 93.5% strongly agreed on blended learning and online education, 87.0% strongly agreed on the use of mobile and handheld devices, and 63.6% strongly agreed on software applications for mathematics calculations as methods influencing the acquisition of basic math skills. Regarding the second objective, 87.0% of teachers strongly agreed that verbal counting ability indicates math skill levels, 93.5% agreed that identifying more and less of a quantity shows math skills, 85.7% agreed on problem-solving skills as an indicator, 66.2% on recognizing numerals, and 77.9% on understanding size, shape, and patterns as indicators of math skills and performance. The study revealed a strong positive relationship between skills such as identifying quantities, verbal counting, problem-solving, and blended learning or online education. Problem-solving skills were also positively linked with computer algebra systems and blended learning. The significance of verbal counting was confirmed, as indicated by a p-value of less than 0.05. The study recommends using digital tools like calculators and graphing software to improve understanding of mathematical concepts. Real-world examples and multimedia can foster problem-solving abilities, while group work can enhance teamwork and communication skills. Educational software and online platforms provide personalized learning, enabling students to learn at their own pace and receive specific support.