Algebraic Generalization Strategies Used by Kuwaiti Pre-service Teachers
Autor: | Amal Hussain Alajmi |
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Rok vydání: | 2015 |
Předmět: |
Mathematical logic
Generalization General Mathematics Chunking (division) 05 social sciences 050301 education Science education Teacher education Education Quadratic equation 0502 economics and business Mathematics education Multiplication Algebraic number 0503 education 050203 business & management Mathematics |
Zdroj: | International Journal of Science and Mathematics Education. 14:1517-1534 |
ISSN: | 1573-1774 1571-0068 |
Popis: | This study reports on the algebraic generalization strategies used by elementary and middle/high school pre-service mathematics teachers in Kuwait. They were presented with 9 tasks that involved linear, exponential, and quadratic situations. The results showed that these pre-service teachers had difficulty in generalizing algebraic rules in all 3 types of tasks. The most difficult problems were those involving exponents; they seemed to confuse exponential growth with the multiplication of n. Although they used several strategies such as explicit, recursive, and chunking, they tended to rely on explicit reasoning. They saw the explicit rule as a quick and easy rule to be used. In order to improve students’ understanding of algebraic reasoning, we must improve the understating of generalization. Teachers’ programs should put more emphasis on the type of content that teachers need to learn rather than on how much mathematics credits teachers need. |
Databáze: | OpenAIRE |
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