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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
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
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
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
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)
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
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
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
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
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
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
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)
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
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
Thank you! 
Questions?

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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

Editor's Notes

  1. T&A collaboration
  2. eelduste ja tööriista piiride arvestamine; vigade testimine, usaldusväärsuse hindamine;
  3. 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,
  4. Kristjan, Britt, Tõnu Kollo
  5. KÕIK said hakkama
  6. 78% +22% in Lsec, 33% + 56% Usec . lowest marks to computer based learning from girls in gymnasium.
  7. 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)
  8. Avatud õppematerjal – lisaks matemaatikale mitmekülgsed teadmised elulistest probleemidest – nõuded täiendkoolitusele