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The purpose of research were to compare mathematical problem solving and connection abilities on the application 1) between before and after using strategy to Find the problem type; Organize the information in the problem using the diagram; Plan to solve the problem; Solve the problem (FOPS) and metacognitive question 2) on 60 percent of the assigned criteria after using FOPS Strategy and metacognitive. The sample was the Prathomsuksa 5/2 of Bandankwean school, consisting of the 33 students which were selected randomly through cluster random sampling technique. The research instruments were 7 mathematics lesson plans using FOPS Strategy and metacognitive question on the application, each lesson plan in one period. Also, the experiment instruments is the mathematical problem solving, and connection abilities test, IOC values between 0.67-1.00, select the exam with difficulty from 0.31-0.44, the classification power from 0.56-0.78 and the reliability 0.87. Data was analyzed with statistics methods to find the mean, standard deviation and t-test.
The results of the study revealed that mathematical problem solving and connection abilities for students after learning organized using FOPS Strategy and metacognitive question was higher than before at the .05 level of statistical significance, and mathematical problem solving and connection abilities for students after learning organized using FOPS Strategy and metacognitive question was higher than 60 percent of the assigned criteria at the .05 level of statistical significance.
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