SBA Math Workshop

1. Compiled and Presented by :
Beverley D. Hyatt
(Master Teacher – Mathematics)

2. 
At the end of this workshop participants should be able to:
General Objective
Effectively maximize student learning through Project-
based Learning.
Specific objectives
1. State advantages of PBL
2. Examine sample project and mark scheme
3. Appreciate the benefits of project based learning through SBA,
to improve critical thinking and problem solving skills.
4. Make the connection between Mathematics and the real world
Objectives of the Workshop

3. Rationale for Amendments
 The former syllabus lacked the capacity to
effectively:
 Demonstrate multiple literacies
 Unearth independent and critical thinking skills
 Encourage innovative application of science and
technology to problem solving
 Generate positive work attitude and values
 Develop creative imagination and entrepreneurship

4. Key Changes
Old
• Core and Optional
• Computation (S.1)
• Number Theory (S.2)
• Sets (Section 4)
• Marks (120) + 60
New
• All Ten (10) Questions are
compulsory
• Number Theory &
Computation (S.1)
• Sets (S.3) will be tested in
Multiple Choice only
• Marks (100) + 60

5. 50%
•Paper 2
•Structured questions (10 questions)
30%
•Paper 1
•Multiple Choice (60 questions)
20%
•School Based Assessment
•Project (20 marks)

6. 
Rationale for SBA
 World is now in 4th Industrial Revolution based on
digital communication
 Requires students and graduates to be proficient in
the Four C’s : Collaboration, Communication, Critical
Thinking and Creativity skills.
 Necessitates learners to be problem solvers with
positive attitude.
 CXC focuses on testing content/knowledge not skills
and attitudes

7. 
Scary Statistics
Current situation
 Only 30 percent of age cohort allowed to write CXC
examinations across the region (CXC statistics)
 50 percent gain 1-4 passes
 25 percent pass no subjects
 25 percent gain five or more passes at Levels 1, 2 or 3
(making them eligible for tertiary entry)
 70+ percent leave school with no certification at all
 Very recently, learners may acquire NVQ/CVQ
certification Level 2 in one or more technical subjects at
secondary school (completing Grade 11) as part of CXC

9. 
Serious Problems?

10. Better Schools
Better Citizens
Better Belize

11. 
Researchers’ Views on PBL
- remove students’ misconceptions and promote
meaningful learning. (Liang & Gabel, 2005 ).
- students can become active in search and decision
making processes by improving their practical
thinking skills (Harris, 2002; McGrath, 2002; Solomon, 2003).
- Students recognize similarities between what they
are learning and what is going on outside the
school. (Preuss, 2002).

12. 
Why Am I Learning This?

13. Question One 2015
(b) The table shows Mrs. Rowe shopping bill.
Prices of some item are missing.
Shopping Bill
Item Unit Cost Price Total Cost
Price
3 kg sugar X $10.80
4 kg rice Y Z
2 kg flour $1.60 #3.20

14.  i. calculate the value of X, the cost of 1 kg of
sugar
 ii. 1 kg of rice cost 80 cents more than 1 kg of
flour. Calculate the value of Y and Z.
 iii. A tax of 10% is charged on the total
shopping bill. What is the TOTAL bill
including the tax?

15. Question 1 - (June 2015)
 85,000 students sat the exam
 99.5% of students attempted Q. 1
 16.3% earned maximum marks
 Why is this?!
 Can a real life project help?

16. “I’m still going with our textbook, I
don’t care what Wikipedia says”!

18.  Guide students to select suitable topics
 Provide guidance throughout the project
 Ensure that project is developed as a
continuous exercise that occurs during
scheduled class hours as well as outside
class times.
 Assess the project and record marks.

19.  The project may require candidates to:
1. Collect data, or
2. Demonstrate the application of
Mathematics in everyday situations.
(Hard copies of the completed project should
be kept by both the teacher and the student)

21. Exploring the Fairness of a Coin Toss

22.  Develop:
i. FIVE Project Titles and
ii. Introduction for each
iii. State how the data will be collected and
presented.

23.  How important were the Four Cs in
your group activity?
 Did you use problem solving skills?
 What can you say about the work
attitude?
 How about ability level of students?

24. Calculating Maximum Area for Corn Planting

25.  Develop:
i. FIVE Project Titles and
ii. Introduction for each
iii. Explain the procedures that will be done to
carry out the project.

26. 21st Century Learner
PBL can unleash the power within and bring to life skills and
attitudes that were dormant…your views?
Education
for Self
Education
for
Strength
Education
for Life

28. Are you Prepared for the 21st Century Learners?

29.  Albert Einstein says:
 It is the supreme art of the TEACHER to awaken joy
in creative expression and knowledge .
 Education is what remains after one has forgotten
what one has learned in school.
 I have no special talent. I am only passionately
curious.

30. The Expert in
Anything was once a
beginner

31. The principle goal of education in the
schools should be creating men and
women who are capable of doing new
things, not simply repeating what
other generations have done.
(Jean Piaget)

32. Teaching is More than
Imparting knowledge, it is
inspiring Change. Learning is
more than absorbing facts, it is
acquiring understanding.
(William Arthur Ward)

33. Self Reflection
Are we Imparting
Knowledge or
Inspiring Change?
Are our Students
Absorbing Facts
or Acquiring
Understanding?
Are we
complaining about
the calibre of the
students or
teaching them?

34. SBA Mark Scheme
Project Title
Designing a
Basketball Hoop –
Why Use a Circle?
Mark/s
Allotment (1)
Title is clear and
concise and relate
to a real world
problem.
1 mark

35.  Introduction
 The purpose of this
study was to
determine the most
suitable shape for a
basketball hoop. The
number of goals
scored using the
traditional hoop was
compared to the
number scored using
square, rectangular
and hexagonal hoops.
 Mark/s Allotment (4)
 Objectives clearly
stated. (1 mark)
 Comprehension
description of project
(2 marks)
 Limited Description (1
mark)
 Detailed content page
with numbers (1 mark)

36.  Method of Data
Collection
 The area enclosed by
the circular hoop was
calculated and ….
Mark/s Allotment (2)
 Data collection
method is clearly
described,
appropriate and
without flaws
(2 marks)
 Data collection
method is stated
(1 mark)
Circle Square Rectangle Hexago
n
1641
cm2
1640
cm2
1640
cm2
1644
cm2

37.  Presentation of Data
 Data Collection Sheet
Methods include:
Bar graph
Pie chart
Table …
 Use appropriate method
Mark/s Allotment (5)
Data is accurate and well
organized (2 mks)
Data presented but not well
organized (1 mark)
Tables/graphs included,
correctly labeled and used
appropriately (2 mks)
Tables/graphs included (1
mk)
Accurate use of mathematical
concepts (1 mk)
Number of Goals Scored
Stude
nt
Circle Squa. Rect. Hexa. Total
Glen 22 14 09 15 60
Bev 20 12 06 10 48
Dan 17 11 04 14 46
Total 59 37 19 39 154

38. Analysis of Data
The data revealed that
of the three students
Glen scored the most
goals and Dan the
least. Although some
students were more
successful in scoring,
for each student. The
most goals were scored
with the standard
basketball hoop which
is in the shape of a
circle…
Mark/s Allotment (2)
Detailed analysis done
which is coherent.
(2mks)
Limited analysis of
findings (1mk)

39. Discussion of Findings
While it is possible to
construct a basketball
hoop using many
different shapes, all
shapes will not give the
same results. A
rectangular shaped
hoop is the least
suitable shape, and the
circular hoop the most
suitable.
Mark/s Allotment (2)
 Statement of findings
clearly stated (1 mk)
 Statement of findings
follows from data
collected (1 mk)

40. Conclusion
In constructing a
basketball hoop, the
most appropriate
shape to ensure
success in scoring
goals is a circle.
Mark/s Allotment (2)
Conclusion was based
on findings and
related to the
purpose of the
project. (2 mks)
Conclusion related to
the purpose of the
project (1 mk)

41. Overall Presentation
Mark/s Allotment (2)
Information was
communicated logically
using correct grammar
(2 mks)
Information was poorly
organized or difficult to
understand at times
(1 mk)

42. What will it Be Teachers?!
Change is
Inevitable !
- The SBA is Here
- The Choice
Questions are
History
- The 21st Century
Learners must be
Facilitated
- A Global Society
Awaits

43. It’s Your Time to Shine
 Work on your very own SBA
you may not be able to complete it but ….

44. No FEAR
 You will be relentless in creating these schools
because too much depends on it – you will not
FEAR
 FEAR – False Evidence Appearing Real
 Fear is in the head… and the fear of doing
something is always worse than doing it.
 You CAN do this …..You WILL do this!