Browsing by Subject "matematiikan neljän kielen malli"

The challenge of teaching mathematics is to make the student’s mathematical thinking heard and visible. To find out how students mathematical thinking can be supported I familiarized concept of mathematical languaging. Mathematical languaging allows student to express their thinking through the language, orally and in writing. Theoretical background of this study is Joutsenlahti’s and Rättyä’s model of four languages of mathematics, which allows students to express their mathematical thinking. The purpose of this study is to find out which mathematics languages teachers emphasize in their teaching and how teachers guide students to languaging in mathematics lessons. In addition, I also explore which mathematic languages the textbooks tend to use, and how the textbooks support the teacher’s role in guiding students languaging mathematics. The material of my study was based on video material: Oppimaan oppimisen avaimet, which was filmed in fall 2012. It included eight sixth grade math lessons. The videos featured a total of seven teachers, one of whom taught a lesson to two different classes. Mathematics textbooks, which were used in the lessons, from four different book series were also used as research material. The data were analyzed using quantification and sosiosemiotics analysis. The videos showed that the lessons were quite teacher-regulated. Teachers asked questions that students answered briefly and accurately. Teachers guided students to use mainly natural language and symbolic language, and to switch between these languages. The textbooks guided to interpret the text in natural language as well as in symbolic language and to produce only symbolic language. Teachers and textbooks also guided to use pictorial language mainly in connection with the contents of geometry. The content of the subject of mathematics influences the language used by the student to express mathematical thinking. Teachers guided oral languaging in the classroom, while textbooks supported written languaging.