This session focuses on studying students' responses. We did the responses of Grade 5 students in using bar models. There are materials for further study involving Grade 3 students doing Singapore Math outside Singapore.

1. Photo: Pathlight School, Singapore
lesson study on
Bar Model
Primary Five Mathematics

2. Identify
Professional
Learning Goal
Plan Lesson
Lesson Plan
Research Lesson
Revision
Post-Lesson
Discussion

3. What does it look like
when students are
engaged productively
in learning?
What are the catalysts
to such productive
engagement?
Professional Learning Goal: To engage students in learning

4. PLC members
participated in an open
lesson at a primary
school as part of the
lesson planning
process to get more
ideas and insights on
student engagement.
Photo: Daqiao Primary School

5. Main Task
Photo: Pathlight School in Research Lesson

6. In the lesson
planning
process, the PLC
members came up
with a refined work
system to develop
and encourage
independent
engagement. Photo: Pathlight School

7. Use coloured
paper strips
Photo: Pathlight School
In the lesson planning
process, the PLC members
also decided to use coloured
paper strips. During the
lesson, two types of
engagement were observed.

8. Type 1 Engagement
Such engagement is not
directly related to content
of the lesson.
However, students were
more involved and were
more responsive.
Photo: Pathlight School
Type 2 Engagement
Such engagement is directly
related to content of the lesson.
In this photo a student used the
strips to make sense of the
problem situation.

9. The team was also hopeful that the paper strips
would help students connect the diagrams they
draw and the problem situation.
Hopefully, students are more engaged when they
Photo: Pathlight School are doing things that make sense to them.

10. Would the colour help students distinguish the
unknown variable from the constant? The purpose of
Photo: Pathlight School
the research lesson is for teachers to observe
students to answer questions such as this one. The
lesson planning meetings raised such questions. The
research lesson provides a platform to ‘see’ the
answers to such questions. The post-lesson discussion
is a platform to discuss these answers.

11. Photo: Pathlight School

12. While the paper strips were
used to help students built the
model, they were not used in
helping students do the
calculation. In this lesson the
computation was done
independently by the students.
Photo: Pathlight School

15. Photo: Pathlight School

16. Photo: Pathlight School

17. Photo: Pathlight School

19. Photo: Reedley International School, Manila
lesson study on
Bar Model
Grade 2 Mathematics

22. Nury 3450
Sue 1286
2164
3450 – 1286 = 2164 ?? Check

24. Student B
4770
+3250
$8120
Student A

25. 4770
-3250
1520
Student C
1520
+3250
Student D 4770