Students’ conceptualisations of function revealed through definitions and examples
| Autor: | Steve Lerman, Michal Ayalon, Anne Watson |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
General Mathematics
media_common.quotation_subject Teaching method 05 social sciences 050401 social sciences methods 050301 education Education Task (project management) 0504 sociology Pedagogy Connected Mathematics Mathematics education Function (engineering) Mathematics instruction 0503 education Curriculum Meaning (linguistics) media_common Qualitative research Mathematics |
| Zdroj: | Research in Mathematics Education. 19:1-19 |
| ISSN: | 1754-0178 1479-4802 |
| DOI: | 10.1080/14794802.2016.1249397 |
| Popis: | This study aims to explore the conceptualisations of function that some students express when they are responding to fictitious students’ statements about functions. We also asked them what is meant by “function” and many voluntarily used examples in their responses. The task was developed in collaboration with teachers from two curriculum systems, England and Israel. It was given to 10 high-achieving English students from each of the years 10–13 and to 10 high-achieving Israeli students from comparable years (total of 80 students). Data analysis included identifying students’ dominant ideas for functions as expressed in their responses, and analysing the types of examples that students used to explain their responses. Differences found between the samples from the countries led to conjectures about the influence of curriculum and teaching, and in particular, about the role of word, in this case “function”, in concept image development. Whereas most students showed that they had a meaning for the ... |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|