Browsing by Author "Ylä-Rautio, Iida"

Objectives. The objective of this pro gradu thesis is to survey what class teachers think about the sup- port of and factors related to learning mathematics with understanding. One of the most important goals of the teaching of mathematics, according to both research into the teaching of mathematics and the curriculum for mathematics, is to support pupils in their development of mathematical understan- ding. According to studies this goal has not yet been attained, as mathematics teaching more often supports procedural knowledge than learning mathematics with understanding. In this study I set out to find out what are the things class teachers consider important for the success in teaching mathema- tics with understanding. This study aims at collecting information about the areas we should pay at- tention to in the teaching of mathematics, in its research and in teacher training to make it possible to achieve the goal of teaching that supports mathematical understanding. Methods. The material of the study consists of thematic interviews with six class teachers who are interested or specialized in mathematics. The material was analyzed by means of a qualitative content analysis. I made use of the Atlas.ti software that is intended for qualitative data analysis. In my ana- lysis I raised two themes that my results are based on. Results and conclusions. What class teachers conceived of as supporting learning with understanding was related either with the teaching-learning process or the teacher. Supporting mathematical unders- tanding seemed to form a process that starts with the orientation into a new subject as well as the use of concrete models, after which the new subject matter is being rehearsed with the help of, for example, textbook exercises. The development of mathematical network of knowledge and the skill to apply mathematics were seen as a consequence of understanding. Hearing and speaking mathema- tical language was thought to support mathematical understanding throughout the process. For lear- ning with understanding to succeed it is furthermore important that the teachers themselves know and understand mathematics and plan the teaching of mathematics carefully. It appears that success in the teaching of mathematics that supports learning with understanding depends on whether the teachers have sufficient knowledge and skills to plan and carry out such teaching.