Cognitive Models Underlying Students' Formulation of Simple Linear Equations
Data are presented to show that errors in formulating algebraic equations are not primarily due to syntactic translation, as has been assumed in the literature. Furthermore, it is shown that the reversal error is common even when none of the previously published causes of the error is applicable. A new explanation is required and is proposed in this paper. An examination of students' errors leads us to suggest that students generally construct from the natural language statement a cognitive model of compared unequal quantities. They formulate equations by trying to represent the model directly or by drawing information from it. This hypothesis is supported by research on the comprehension of relationships by linguists, pyscholinguists and psychologists. Data were collected from 281 students in grade 9 in free response format and from 1048 students in grades 8, 9, and 10 who completed a multiple-choice item.
The constant of integration, typically denoted by $C$, is essential in indefinite integrals to account for the vertical shift of the original function.
1
/
of
1
My Store
HP OmniDesk Desktop Tower – Intel Core Ultra 7 265 - Intel Graphics – 32GB Memory - 1TB SSD - Windows 11 Home
HP OmniDesk Desktop Tower – Intel Core Ultra 7 265 - Intel Graphics – 32GB Memory - 1TB SSD - Windows 11 Home
Regular price
Rs. 10,990.00
Regular price
Rs. 12,000.00
Sale price
Rs. 10,990.00
Quantity
Couldn't load pickup availability
Features:
- Intel® Core™ Ultra 7 265 (20-core) Processor, Built-in NPU (13 TOPS)
- Intel Graphics: Enjoy Vivid and Immersive Visuals
- Wi-Fi 6 And Bluetooth® 5.4: Enjoy Faster Speeds and Greater Capacity
- HP USB Black Wireless Keyboard & Mouse Combo
- Boost Your Creativity & Productivity with The Copilot Key
Share
