Designing and implementing authentic investigative proportional reasoning tasks: the impact on pre-service mathematics teachers’ content and pedagogical knowledge and attitudes |
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| Authors: | David Ben-Chaim Yaffa Keret Bat-Sheva Ilany |
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| Institution: | (1) Faculty of Science and Science Education, University of Haifa-Oranim, Kiryat Tivon, 36006, Israel;(2) Israeli Science Teaching Center, Solar Tower, The Weizmann Institute of Science, Rehovot, 76100, Israel;(3) Beit-Berl College, Doar Beit Berl, Israel |
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| Abstract: | In this study we created, implemented, and evaluated the impact of proportional reasoning authentic investigative tasks on
the mathematical content and pedagogical knowledge and attitudes of pre-service elementary and middle school mathematics teachers.
For this purpose, a special teaching model was developed, implemented, and tested as part of the pre-service mathematics teacher
education programs conducted in Israeli teacher colleges. The conclusion of the study is that application of the model, through
which the pre-service teachers gain experience of and are exposed to authentic investigative proportional reasoning tasks
with incorporation of theory (reading and analyzing relevant research reports) and practice, leads to a significant positive
change in the pre-service teachers’ mathematical content and pedagogical knowledge. In addition, improvement occurred in their
attitudes and beliefs towards learning and teaching mathematics in general, and ratio and proportion in particular. |
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| Keywords: | Authentic investigative tasks Ratio and proportion Proportional reasoning Pre-service mathematics teachers |
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