T.E.A.C.H. Academy Course 11
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Transcript of T.E.A.C.H. Academy Course 11
Bina Bangsa School, Jakarta
y e a p b a n h a r @ g m a i l . c o m
w w w. b a n h a r . b l o g s p o t . c o m
In this short course, we will discuss:
• the basis of counting
• problems based on whole numbers
• teaching and doing problem solving based on everyday situations
• teaching word problems
• one learning theory
Another short course that is relevant for the teaching of whole numbers is Learning
Theories.
y e a p b a n h a r @ g m a i l . c o m
w w w. b a n h a r . b l o g s p o t . c o m
To Count or Not to Count
Count!
The nouns are the same.
We can count.
3 cats + 2 dogs = 5 cats ?!
3 cats + 2 dogs = 5 dogs ?1
3 animals + 2 animals = 5 animals
Problems Using Everyday Things
Problem 1
How many cups are there in this
structure when there are 9 cups in the
lowest layer?
Stack the Cups Problem
Look for a pattern!
Stack the Cups Problem
Big ideas:
• Making connections
• Mathematical modeling – connecting
reality to mathematical concepts
• Creative thinking – fluency, flexibility,
originality, elegance
• Looking for patterns and generalizing
Teaching Using Everyday Things
Are there enough straws?
Are there enough straws?
Are there seven
flowers?
More than seven? By
how many?
How many are there?
Design worksheets based on children’s art work
Everyday situations as:
• As data source
• As learning tool
• As problem
This can be used to facilitate skip counting.
Student scan also be asked to solve a problem – how many
children are there in the room?
Curriculum Structure
Curriculum Structure
Group Activity
When do students learn whatever they learn?
Your group is given a list of topics.
Discuss with your group members when each topic
is introduced and when it is completed in the
Singapore curriculum.
Are there missing topics?
K 1 2 3 4 5 6
Whole Numbers
Cardinal Numbers, Place Value
To
100
To
1000
To
10000
To
100000
To 10
million
Add and Subtract
Multiply
Divide
Factors
Multiples
Combined
Operations
Dienes
play structured practice
Word Problems
Problem 2
Addition – Word Problem
Strategies
• Count all
• Count on
• Make ten
Problem 3
Multiple Operations – Complex
110 g
290 g
Participants of Specialist Certificate Programme may choose to work on some of these.
The portfolio will include about ten entries to showcase your professional ability.
• Write up the solution of the Stack the Cups Problem. One portfolio entry may consists
of a collection of problems discussed in all the modules. Provide different ways of
solving the problems, include the ways discussed in class. Occasionally, problem
extension may be given. Typically one entry consists of about four problems from a
range of topics. You may also look for / design your own problems based on whole
numbers and solve them in different ways.
• Design a learning task based on everyday situation. Provide a photograph of the
everyday situation and a description of the task. Provide the responses that students
may give and what students can learn from this task. See an example of such a
portfolio entry at www.banhar.blogspot.com