The Numeracy Project Intro.
The Framework
The Diagnostic Interview
Wai/BOP SNP Pilot Project
Hogan
Goals…to develop an
understanding …
• of the numeracy project
• of the stages
• of the NUMPA test
• and develop skills to use the
NUMPA test.
The Numeracy Project
Teachers are key figures in
changing the way
mathematics is taught and
learned in schools.
The project is about the
pedogogy of mathematics
education.
Why Mathematics?
Learning how to think
through the media of
mathematics.
Mathematics
has practical applications.
The Stages
Broadly these are
• COUNTING
• ADDING
• GROUPING
The more mathematics one knows the more
mathematics one will use.
The Stages
One to one, from 1, imaging,
counting on
Early adding, advanced adding
Early grouping, advanced grouping
Proportional thinking
And the knowledge that is used to
build these ideas and ways of
thinking.
The Stages
Barriers can be developed by
children that can be quite
difficult to remove.
Counters need to see easier
ways to find the total.
Adders need bigger numbers.
Groupers need propblem
solving.
The Stages
Progression is dependent on being
fluent with the ‘group’ idea.
Fraction +, -, x and / all need
multiplication. Likewise,
multiples, formula, powers, area,
volume, factors, primes, trig...
NUMPA Diagnostic Interview
Get the data from your
contributing schools!
The test exposes
the strategies with which
the student is currently operating.
NUMPA Diagnostic Interview
This is done before the year
begins so that the data has been
used to establish groups and
lessons. Use the data from
contributing schools.
Other students can be interviewed
one on one to establish the data.
NUMPA Diagnostic Interview
Any written test measures
knowledge only. The
interview is recorded on
paper and is a vital
communication so that
the students can explain
answers.
Answers given are not
marked or judged. It is
the thinking that is
being measured.
NUMPA Diagnostic Interview
ACTIVITY!
Observe an interview and discuss the
results.
Your turn…interview a student
And another…and another.
Discuss the process and the data
NUMPA Diagnostic Interview
Discuss
• management of the test
• storing the data
• Book 2
• grouping students
• target teaching
• classroom management
SNP Project
Once we know the stage for each student
the teacher is able to
• pose suitable questions
• be happy with a student answer
• measure progression
• report on progression, attitude and
effort
Teachers have a responsibility to meet
the needs of each student.
SNP Project
Discuss
• management of groups
• managing equipment
• schemes that are flexible to
range 3 stages
• sharing ideas and joint planning
• testing, formative, summative
or any?
• journals and mathematics
books.
YOUR TASK
You are to interview your
students or otherwise obtain
the numeracy data needed.
The next workshop deals with
interpreting the data and
matching the data to the
Framework and Knowledge
Books 1 and 4.
The end