Slide 8 of 26
1.Students participate more actively in lessons and express their ideas more frequently.
Open-ended problem solving provides a free, responsive, and supportive learning environment because there are many different correct solutions, so that each student has opportunities to get his/her own unique answer(s). Therefore, students are curious about other solutions, and they can compare and discuss their solutions with each other. As students are very active, it tends to bring a lot of interesting conversation to the classroom.
2.Students have more opportunities to make comprehensive use of their mathematical knowledge and skills.
Since there are many different solutions, students can choose their favorite ways toward the answer(s) and create their unique solution(s). Activities can be opportunities to make comprehensive use of their mathematical knowledge and skills.
3.Every student can respond to the problem in some significant ways of his/her own.
There are various kinds of students in a mathematics classroom, since there is no tracking in Japanese classrooms. Therefore, it is very important for every student to be involved in classroom activities, and the lessons should be understandable for every student. Open-ended problems provide every student with the opportunities to find his/her own answer(s).