Phase of Process | Prompt by Instructor | Action of pupil | Action unit | Expected reaction from pupil | Separate care for individuals | Evaluation |
Recall what were learnt in the previous lessons | . | Recall what were learnt in the previous lessons | Whole | . | . | . |
Have the problem | "The juce of 3.9 dl is shared equally by three persons. What dl of juce does each take ?" | Have the problem | Whole | . | . | . |
Understand the problem | . | Understand the problem. | Whole | "shared equallymeans division." | If "division" does not take place, illustration is used. | Whether pupil understand the problem. |
. | Make a number expression. | "3.9 ![]() | . | |||
. | Notice what is new.
Understand the subject. | "Not the case of interger ![]() ![]() | . | |||
Plan problem solving | "Let us think out the solution of 3.9 ![]() | Estimate the solution. | Whole | "1"
"1.3" "Between 1 and 2" | Pupil who cannot estimate is prompted to find what is applicable from items they have already learned. | Whether pupil can make their own estimation. |
Proceed the plan | . | Practice one's own solution.
Write the way in the working paper. Think out other ways, while time permits. | Indi- vidual | (1) 3.9 is 0.1 multiplied by 39.
0.1 multiplied by 39 devided 3 is 0.1 multiplied by (39 ![]() Thus, 1.3 litter is the solution. (2) 3.9 divided by 3 is 3 divided by 3 plus 0.9 divided by 3., which is 1 plus 0.3, or 1.3. Thus, 1.3 litter is the solution. (3) Using the algorithm of division. ![]() Thus, 1.3 litter is the solution. (4) 3.9 divided by 3 is 3.9 multiplied by 10, divided by 3, and divided by 10.. 3.9 x 10 = 39, 39 ![]() ![]() Thus, 1.3 litter is the solution. | Pupil who can get a clue of solution are prompted to think out a variety of ways.
Pupil who cannot get a clue of solution are given hints. Give pictorial illustration in the working paper. If the algorithm of division is one of those which pupil answer, it is suspended as a subject discussed in the next stage. | Whether pupil can practice their own solution.
Whether pupil work enthusiastically. |
Examine solutions | Control pupil's activity so that they choose the solution of type (1). | Show solutions | Whole | Show one's own solutions.
Discuss on each solution. Choose the solution of type (1) as the conclusion : "3.9 is 0.1 multiplied by 39. 0.1 multiplied by 39 devided 3 is 0.1 multiplied by (39 ![]() Thus, 1.3 litter is the solution." | Let pupil use papers for practical division manipulation.
Let pupil show their solutions in their own expression. Let each pupil think to which solution her/his solution is similar. Explain by using pictorial illustration. Let pupil dispose (2) by introducing 4.5 ![]() If (1) does not come from pupil, determine (2) to be the solution, and then develop it to (1). | Whether pupil can express their idea in their own way. |
Determine the solution | Generalize the solution to a form :
"decimal ![]() ![]() | Generalize the solution | Whole | decimal![]() ![]() | Write a conclusion on the blackboard. | . |
Fixation and Development | Give exercises:
2.6 ![]() 4.8 ![]() 9.6 ![]() | Do given exercises. | Indi- vidual | Make solutions. | Let pupil take 0.1 as the base. | Whether pupil solve problems of similar type of 3.9 ![]() |
Review the lesson | . | Review the lesson | Whole | . | . | . |