Ülle Kikas: A new approach for teaching data and statistics
1. A new approach for
teaching data and statistics.
Computer Based Statistics.
Ülle Kikas
Ministry of Education and Research, Estonia
Scientix, Brussels 24.-26.10.2014
2. Why?
Traditional school mathematics weakly supports
understanding and using mathematics in real life
Stand-alone mathematical knowledge from
school
Use of math in infinite ways to improve life
Smart jobs in banks, ICT companies, industry,
science, modeling of social processes, etc
3. Computer Based Mathematics
Conrad Wolfram
http://computerbasedmath.org/
Solve problems with mathematics!
Let calculating for computers!
learning math through solving real life
problems
embedding computers as a natural part
gain educational benefits from digital
opportunities
4. Computer Based Statistics (CBS)
project in Estonia
R&D collaboration
MoER Wolfram Research Uni Tartu
Aim: modern knowledge and skills on data
and statistics from school
Steps
new curriculum and digital lesson materials, 2013
piloting in schools, 2014
analysis, adaptation to Curriculum, 2015
mainstreaming, by 2018
5. Curriculum, learning
outcomes
Covers mathematical content of traditional
curriculum
Wider learning outcomes
Confidence to tackle new problems; abstracting to
mathematics concepts; designing computations;
interpreting; critiquing and verifying, generalising a
model; communicating and collaborating; instinctive
feel of maths
Understand the heart of math concepts
not just calculation processes (math’s tools)
6. Lesson materials 1
Narrative-based modules
25 + 35 lessons for basic and high school
Teacher and student materials, theory files
Learning management: log-in, sending
answers, summary of student feedback
Technology: „Mathematica“ or free CDF
player, internet connection required
7. Lesson materials 2
Problem-solving approach
Variety of learning modalities
inquire, verify, experiment, visualise, interpret,
discuss, connect ideas, create video, send report
Open data (incl. data of your class)
awareness on internet data and real life
problems
8. Examples 1
How happy are people in
my country?
Big data: Happy Planet Indexes
Where to get reliable data
Create spreadsheet file
Visualise, select strategy
Explore characteristics in
charts, manipulate data
Is happiness in my country
normal? How happy are we
compared to other countries?
send opinion
Math concepts and tools
Information as data
Numerical and non-numerical
data
Charts, particularly
histograms (bin)
Distribution of data
Characteristics: mean,
median, spread, deviation
9. Examples 2
How can I convince you
different ways in which statistics can be misused in
order to prove a claim
Proof by survey
● Asking right questions, data collection, sampling bias
Are girls better at mathematics?
● comparison of full data sets (graphically and
numerically)
● How many Estonian words do I understand?
● sampling, parameter estimation, confidence intervals
10. Piloting
In 31 schools in regular math lessons
by 42 math teachers
with 1200 pupils
Data collection for research
Student feedback after each module (theme)
Teacher feedback after each lesson
Tests for students
11. Preliminary feedback 1
Teachers coped well with teaching in
technological environment
CBS would be teachers’ favourite
approach for future
78% + 22% BS,
33% + 56% HS
Lesson materials were of unequal quality
good for basic school
improvement of didactics required for high
school
12. Preliminary feedback 2
Students liked the computer based Lessons
Self-confidence of students towards
learning increased
Interest of students towards statistics
decreased ?
Most problematic: balance between
awareness on problem itself and obtained
mathematical skills (assessment principles)
13. Steps towards mainstreaming
Assessment principles and tasks
general vs mathematical competences
digital skills, basic skills, transversal skills
Curriculum adaptation
academic advisory board
Teacher training course
Training all math teachers
IT- support to schools and teachers
14. Summary
Transforming an innovative idea of CBM
to school practice is a challenging, complex
and long-term task
The most challenging part is accomplished
We’re on the way to mainstreaming of
Computer Based Statistics
eelduste ja tööriista piiride arvestamine; vigade testimine, usaldusväärsuse hindamine;
Modalities: estimate value, assess validity, find the error, create a question, connect ideas or opinions; data visualisation, interpret a chart, brainstorming, games and competitions, experimentation, send report, comprehension, make diagram or poster,
Kristjan, Britt, Tõnu Kollo
KÕIK said hakkama
78% +22% in Lsec, 33% + 56% Usec . lowest marks to computer based learning from girls in gymnasium.
78% +22% in Lsec, 33% + 56% Usec . lowest marks to computer based learning from girls in gymnasium.What have you learn: how happy are people in my country, who is the tallest in my class, etc)
Avatud õppematerjal – lisaks matemaatikale mitmekülgsed teadmised elulistest probleemidest – nõuded täiendkoolitusele