・The purpose of this course is to prepare for "Exercise of Practical Research on Mathematics Education II."
・Students need to find and clarify themes of practical research of education, master methods to utilize learning outcomes of mathematics education for problem-solving in daily life, and clarify problem-solving process and points for its instructions.
・Students make year instructional plans that clarify instruction of mathematical ways of viewing and thinking to make PBL in mathematics more effective.
・Understand good/bad practices of PBL in mathematics and instructions of mathematical ways of viewing and thinking through performing literature reviews.
・Can explain methods of PBL in mathematics by showing concrete examples of SDGs through performing such activities by oneself according to the Warp and Woof model of problem-solving.
・Can make year instructional plans that clarify instruction of mathematical ways of viewing and reconstruction of domain-specific knowledge of mathematics to make learners enable to utilize learning outcomes of mathematics in the problem-solving contexts.
Literature reviews, year instructional plan, PBL in mathematics, mathematical ways of viewing and thinking, SDGs, New Backward Design Method, Warp and Woof Model of Problem-solving
✔ Specialist skills | ✔ Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
Lecture, case studies, field work, group work
Course schedule | Required learning | |
---|---|---|
Class 1 | Find and clarify the problem of PBL in mathematics | Literature review of PBL in mathematics, related research reports, useful data, and so on. |
Class 2 | Improve the plan of PBL in mathematics | A PBL activity plan and research report of the activity |
Class 3 | Clarify and generalize the methods to utilize learning outcomes of Mathematics in SDGs problems | A generalized model of PBL activity based on the Warp and Woof model / Preparing for attending the practical lessons |
Class 4 | Attend the PBL in Mathematics at Tokyo Tech High School of Science and Technology | Arranging and summarizing questions and errors found in the practice lessons to clarify instructional methods for PBL in Mathematics |
Class 5 | Clarify the instructional methods for promoting utilization of learning outcomes of Mathematics in problem-solving/ Make year instructional plans to help learners utilize learning outcomes of Mathematics in the problem-solving contexts | Share findings in the fourth lessons to summarize the points to design instructional materials / Making year plans by focusing on instructions of mathematical ways of viewing and thinking and 5W1H framework of domain-specific knowledge |
Class 6 | Make and improve the year plan | Improve the year plans / Proposing some research topics of "Exercise of Practical Research on Mathematics Education II." |
・National Course of Studies for the Lower Secondary Schools and the Upper Secondary Schools (in Japanese)
・Guidebooks of National Course of Studies for the Lower Secondary Schools and the Upper Secondary Schools: Mathematics (in Japanese)
・Mathematics textbooks for the lower secondary schools and the upper secondary schools (in Japanese)
・Gaming instructional materials developed in my laboratory for PBL and data-analysis in mathematics
・Matsuda, T. and Hagiuda, N. (Eds.) (2020) Introduction to data science for problem-solving, Jikkyo Syuppan.
Report and presentation
・Students are required to participate in the orientation of this course in April.
・A person who wants to apply as a part-time student is required to contact to the following e-mail address before applying to admission office. Part-time students who can take this course are only graduates of Tokyo Tech.
nagahara[at]ila.titech.ac.jp
Please send an e-mail for appointment.