Designing the Investigation-based Learning Activity for Interpreting Formulas in Terms of Continuous Transformation of Figures
2021 Volume 26 Issue 2 Pages 59-72
Details
2021 Volume 26 Issue 2 Pages 59-72
The purpose of this research is to catch a successive change in a figure consciously in the unit of the junior high school for 2 years “combination of a figure”, relate to read the system, develop an investigated learning activity and consider its learning effect qualitatively through class practice. So the professor experiment which made the equality of which I consist between 3 sides of length with changing a figure successively and the mathematical activity that the change is interpreted an axis was made. Student’s activity and description in its class were analyzed qualitatively.
As a result, the following 3 points became clear.
(1) Understanding to the manner of the change in a relational expression of which I consist between the length of BD and CE,DE deepens through the activity that I try to be conscious of a change in the length of the vicinity and read the system though it makes them contrast with a successive change in a figure many times.
(2) They become able to make a change in the length of each vicinity in one equality more conscious in the process which tries to check a successive change in a figure to check a change in equality.
(3) The activity that I try to check a change in the length by a ch art has a possibility it gains by the process going to be conscious of a change in the length of the vicinity and check a successive change in a figure. A session of this professor experiment, there are a theorem if disobeying, by which a theorem of the angle at the circumference is Thales and a possibility that trigonometrical function leads to an insight of future learning.
