Problem representation and mathematical problem solving of students of varying math ability

Area of Science:

• Cognitive Psychology
• Educational Psychology
• Special Education

Background:

• Math problem-solving is crucial for academic success.
• Students with learning disabilities (LD) often face challenges in mathematical reasoning.
• Understanding the cognitive processes involved is key to developing effective interventions.

Purpose of the Study:

• To compare math problem-solving processes among students with learning disabilities (LD), low-achieving (LA) students, and average-achieving (AA) students.
• To analyze how students translate and integrate information during problem-solving.
• To investigate the role of paraphrasing and visual representation in math problem-solving accuracy.

Main Methods:

• Eighth-grade students (LD, LA, AA) completed a modified Mathematical Processing Instrument.
• Measures included paraphrasing of problem information, creation of visual representations, and problem-solving accuracy.
• Statistical analyses examined group differences and the predictive power of specific strategies.

Main Results:

• Both LD and LA students exhibited processing difficulties, with LD students showing significantly weaker paraphrasing skills than LA students.
• Accuracy in paraphrasing and visual representation significantly predicted overall problem-solving accuracy.
• The impact of visual representations on problem-solving accuracy was ability-dependent, benefiting LD students more than AA students.

Conclusions:

• Students with LD and LA students require targeted support in translating and processing math problems.
• Paraphrasing and visual strategies are vital components of effective math problem-solving instruction for all students.
• Instructional approaches should consider individual student abilities, particularly for students with LD, to maximize the benefits of visual aids.