The Third International Assessment of Educational Progress (TIMMS) and the Programme for International Student Assessment (PISA) during the last decades regarding the results of mathematics teaching shows that China have a better performance than Sweden’s.Swedish teacher-guidelines focus on developing student’s individual interest and confidence for mathematics. In the Chinese teaching-guidelines for Mathematics Curriculum Standards, Ordninary Senior Secondary, the focus is given on: Elevate their mathematics literacy necessary for future citizenship and Development of citizen´s qualities (s.3).Teachers are the primary factors that impact teaching and learning of mathematics. Two teachers from Sweden and two from China were interviewed and their methods were compared in my study. The aim of my study was to understand mathematics teaching in China and Sweden. As a conclusion, this study will give advices of which concept and method should be emphasized and chosen in Mathematics teaching.