Fundamental study on lesson design on the basis of the roles of representation in mathematical problem solving
| Project/Area Number |
22530963
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Education on school subjects and activities
|
|---|
| Research Institution | Aichi University of Education |
|---|
Principal Investigator |
YAMADA Atsushi 愛知教育大学, 教育学部, 准教授 (20273823)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
IWASAKI Hiroshi 上越教育大学, 学校教育研究科, 教授 (80251867)
SHIMIZU Norihiro 福岡教育大学, 教育学部, 教授 (50284451)
OKAZAKI Masakazu 岡山大学, 教育学研究科, 准教授 (40303193)
|
|---|
| Project Period (FY) |
2010 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
|---|
| Keywords | 数学的問題解決 / 表現 / 授業デザイン |
|---|
| Research Abstract |
The aims of this study was to clarify the patterns of construction/transformation of (problem) representation in mathematical problem solving, to investigate its roles in progress of problem-solving process, and to consider the methodology of lesson design on the basis of the roles. The main results were to identify five types of wide-purpose representations for mathematical problem solving, to investigate three constructional/transformational patterns of problem representation in mathematical problem solving (i.e.; construction/reconstruction, abstraction/concretization, shift), and to analyze the concrete roles of “abstraction/concretization” process of problem representation.Furthermore, a methodology of lesson design on the basis of the roles of abstraction process was considered.
|
Report
(4 results)
Research Products
(19 results)
