Embed Size (px)
DESCRIPTION
This is the second and final day of the professional development for teachers in K-2. This event held in Pearl City Hawaii was made possible by Kamehameha Schools, Nanakuli Elementary School and State of Hawaii Department of Education.
Citation preview
Presentations are available at
www.banhar.blogspot.com
Professional Development for Singapore Math (Lower Grades)
Yeap Ban Har
Pearl City, Hawaii12 August 2011
Photo: Nanakuli Elementary School
Professional Development for Singapore Math (Lower Grades)
Day 2 Session 1Video Study
Focus on ThinkingPatterning & Generalization
Photo: Princess Elizabeth Primary School
Students have learnt to add three one-digit numbers prior to this lesson. These are grade one students towards the end of the school year.
Lesson Segment Observation
Practice in speaking • How do the students
respond?
• Are there evidence of engagement or thinking?
• What are the teacher actions?
• What are the questions that I have?
Problem Presentation
Problem Solution (whole class)Observing
Problem Solution (whole class)Using Table
Conclusion
Consolidation Not in the video
The problem-solving lesson in the video follows the lesson we studied yesterday in the Open Lesson.
www.marshallcavendish.com/education/mci
www.marshallcavendish.com/education/mci
www.marshallcavendish.com/education/mci
www.marshallcavendish.com/education/mci
Professional Development for Singapore Math (Lower Grades)
Day 2 Session 2Number Bonds
Photo: Princess Elizabeth Primary School
www.marshallcavendish.com/education/mci
Number bonds is taught before addition and subtraction.
www.marshallcavendish.com/education/mci
Number Bonds is emphasized prior to the learning of addition.
Children are given, say, 5 unifix cubes and guided to see that 1 and 4 make 5, for example. Others may say that 3 and 2 make 5 or 4 and 1 make 5. Yet others may say that 5 and 0 make 5.
Earlybird Kindergarten Mathematics (Standards Edition)
Number Bonds
Photo: PCF Telok Blangah Kindergarten
One duck is big. Six ducklings are small.
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Number Bonds continues to receive attention in Grade 1.
My Pals Are Here! Mathematics 1
Addition Facts are given emphasis in the first six months of grade one.
The children learn it in stages as the textbooks distinguished between Numbers to 10 and Numbers to 20.
Count On and Count All are used in Numbers to 10.
Addition Facts
Earlybird Kindergarten Mathematics (Standards Edition)
While Count On and Count All are used in Numbers to 10, Make Ten is given emphasis in Numbers to 20.
Addition Facts & Number Sense
Photo: Princess Elizabeth Primary School
27 – 3
27 – 13
27 – 18
10
17
27 ÷ 324
3
Applications of Number Bonds
Professional Development for Singapore Math (Lower Grades)
Day 2 Session 3Emphasis on Visualization,
Connections and Number Sense
Photo: Princess Elizabeth Primary School
Articulating one’s thoughts orally, at first, and in written forms using words, pictures, diagrams and symbols is important.
Communication
Maris Stella H
igh (Primary) School
Looking for Patterns is introduced through exploration with Shapes. Subsequently, this is done using numbers – in a more abstract context.
Connections
Make Connections to Generalize
Photo: Princess Elizabeth Primary School
Connections
Photo: Princess Elizabeth Primary School
Visualization is, among other things, the ability to manipulate visual images without the benefit of concrete objects.
In the Japanese lessons, we saw children engaged in three-dimensional visualization (bean-container task) and two-dimensional visualization (pattern-block task).
Visualization
Photo: A Japanese Public School
This is the rationale stated in Singapore Mathematics curriculum document.
“an excellent vehiclefor the developmentand improvement
of a person’sintellectual competence”
Professional Development for Singapore Math (Lower Grades)
Day 2 Session 3Regrouping & Place Value
Photo: Princess Elizabeth Primary School
Professional Development for Singapore Math (Lower Grades)
Day 2 Session 3Addition
Theory of Variations
Photo: Princess Elizabeth Primary School
12 + 9
What are the different ways to add 12 and 9?
Students first add by counting all …
And then counting on and making ten.
For large number addition, students can add the tens and ones separately – regrouping may be necessary.
100 Chart helps counting on for larger numbers.
Study the variations over several lessons.
“A curriculum as it develops should revisit these basic ideas repeatedly, building upon them until the student has grasped the full formal apparatus that goes with them.”
Jerome Bruner 1960 The Process of Education
One feature of Singapore Math is the spiral approach.
Professional Development for Singapore Math (Lower Grades)
Day 2 Session 3Subtraction
Spiral Approach
Photo: Princess Elizabeth Primary School
Ready for Maths Series
Shaping Maths 1
Shaping Maths 1
“A curriculum as it develops should revisit these basic ideas repeatedly, building upon them until the student has grasped the full formal apparatus that goes with them.”
Jerome Bruner 1960 The Process of Education
Students have many opportunities to learn subtraction but each time building upon the strategies learnt previously.
My Pals Are Here! Mathematics 2
Drill-and-practice and thinking are not exclusive.
Professional Development for Singapore Math (Lower Grades)
Day 2 Session 4Bar Model Method
Photo: Princess Elizabeth Primary School
Modeling using real objects, pictures of real objects and more abstract model drawings.
Bar models are used to represent quantities – discrete and continuous ones.
58
12
Observe how this problem is different from the last one even though numbers used are the same.
Observe how this problem is different from the last one even though numbers used are the same.
12Natalie
Peter
58
58 – 12 = 46
46 ÷ 2 = 23
Natalie’s bag is 35 kg.Peter’s bag is 23 kg.
