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In solving arithmetic/mathematics word problems,comprehension phase is the most important and difficult phase.In the comprehension phase,conceptual and quantitative comprehension is formed as connection between problem representation and solution representation.Externalization of the comprehension phase is a promising way to support learners to overcome their difficulty in this phase.In this paper,triangle block model is proposed as a way to externalize the conceptual and quantitative comprehension.We have already developed a learning environment based on the model.In this environment,a learner builds the externalized representation of the conceptual and quantitative comprehension by combining provided components.Through an experimental use by seventy-two sixth grade students in an elementary school,we have confirmed that the learning activity designed based on the model is accepted by the students and the responsible teacher of them.