Student performance calculating the pH of a strong acid or strong base solution before and after instruction in general and analytical chemistry courses was investigated using open-response questions in which a pH equation was not provided. Prior to instruction, students in both classes scored very low. General chemistry students lacking prior knowledge to convert concentration to a pH value manipulated the provided numbers in different calculations and analytical chemistry students not activating their prior knowledge used inappropriate mathematical functions. After instruction gains were high in both classes, with the most prevalent error involving the stoichiometric dissociation of a strong base. These results indicate a relatively simple algorithm such as calculating the pH of a strong acid or base may be readily acquired during instruction but may not be strongly retained after the course finishes.
This study investigated the strategies students in general
chemistry
and analytical chemistry courses used before and after instruction
to solve a volumetric analysis problem in which the molar ratio was
not 1:1. Questions like this have historically been very challenging
for high school and undergraduate students. Student writing on open-response
problems was analyzed to determine the problem-solving approach and
identify errors made during the calculation. The two most prevalent
strategies on pretests and post-tests were calculating mole amounts
and using the equation M
1
V
1 = M
2
V
2. Performance was significantly lower for students using the M
1
V
1 = M
2
V
2 as they often assumed
a 1:1 molar ratio. The M
1
V
1 = M
2
V
2 heuristic was very popular despite its exclusion from formal
instructional resources such as the textbook or lecture, and teachers
seeking to improve instruction in this area must account for students
using an approach not introduced in the classroom.
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