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Improving Mathematics Teaching in Poland: Winds of Change, Non-Routine Tasks, and Strategic Thinking

This article explores how mathematics teaching has been improved in Poland, focusing on the shift towards non-routine tasks and strategic thinking. It discusses the importance of preparing students to deal with non-routine tasks, recognize and solve lies, and develop mathematical reasoning and argumentation skills. The article also highlights the changes in the national curriculum and the impact of the Matura and Egzamin gimnazjalny exams. Additionally, it discusses the PISA results and the development of the PISA 2021 Mathematics Framework.

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Improving Mathematics Teaching in Poland: Winds of Change, Non-Routine Tasks, and Strategic Thinking

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  1. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Area: 319 sq.km Population: 38.5 mln Math teachers: 30 000 MastersDegree in math: 95%

  2. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Area: 319 sq.km Population: 38.5 mln Math teachers: 30 000 MastersDegree in math: 95%

  3. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Winds of change…

  4. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Winds of change…

  5. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Winds of change… He must be really smart!

  6. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Winds of change… non-routine routine

  7. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Winds of change… non-routine non-routine routine machine solved routine – humansolved

  8. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Winds of change…

  9. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Winds of change…

  10. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Winds of change…

  11. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Conclusions for education Preparestudents to be ready to dealalso with non-routinetasks Preparestudents to recognize and deal with lies

  12. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Conclusions for education Preparestudents to be ready to dealalso with non-routinetasks Preparestudents to recognize and deal with lies How to achievethat?

  13. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Realities Why do we have to learnmathematics?!

  14. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Realities - Mr. Jones, will I everusethis algebra? - Youwon’t, but somesmarterkidsmight!

  15. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Realities Practicepatiently – youwillseewhythismakessenselater!

  16. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Realities Practicepatiently – youwillseewhythismakessenselater!

  17. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Math teaching n=1 conceptoriented: Introduce concept nr n Practice conceptn Test conceptn NO Time left? STOP YES n=n+1

  18. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? „Whatmathematics do peoplereallyneed?” „What do we de-emphasize and remove?”

  19. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? „Whatmathematics do peoplereallyneed?” „What do we de-emphasize and remove?” „Whatliterature do peoplereallyneed?” „What do we de-emphasize and remove?”

  20. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? „Whatmathematics do peoplereallyneed?” „What do we de-emphasize and remove?” „Whatliterature do peoplereallyneed?” „What do we de-emphasize and remove?” Mathematics is, like literature and art, part of our cultural heritage

  21. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Math teaching n=1 conceptoriented: Introduce concept nr n Practice conceptn Test conceptn NO Time left? STOP YES n=n+1

  22. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Math teaching n=1 processoriented: conceptoriented: Mathematical reasoning and argumentation Introduce concept nr n Practice conceptn Strategic thinking Test conceptn NO Time left? STOP Mathematical modeling YES n=n+1

  23. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Conclusions for education Preparestudents to be ready to dealalso with non-routinetasks Strategic thinking Preparestudents to recognize and deal with lies Mathematical reasoning and argumentation

  24. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Polishnational curriculum (2008) New national curriculum General requirements, Specificrequirements

  25. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Matura 2014 Provethat…

  26. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Matura 2014 Provethat… Provethat… Provethat…

  27. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Egzamin gimnazjalny 2014

  28. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Egzamin gimnazjalny 2014 Internet: I calculatedlikecrazy, whileit was enough to think!

  29. PISA – levels of mathcompetences HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? 420 482 545 605 668 358 < 1 1 2 3 4 5 6 6,8% 5,0% 2,3% 3,3%

  30. PISA – levels of mathcompetences HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? 420 482 545 605 668 358 < 1 1 2 3 4 5 6 20,5% 16,7% 10,4% 14,4%

  31. Studentsatlevel 1 orbelow in EU (math) HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? 2012 2009

  32. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Studentsatlevels 5 or 6 in EU (math) 16,7% 2012 10,4% 2009

  33. Mathematical reasononing – the weakest point in 2003 HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND?

  34. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? How to teachmathematicalreasoning? Explainwhyyoucan start solvingthisSudoku by writing 1 in position *.

  35. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? How to teachmathematicalreasoning? Whatis, roughly, the volume of a dollar bill?

  36. Development of the PISA 2021 Mathematics Framework HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Mathematical literacy is an individual’s capacity to reason mathematically and to formulate, employ, and interpret mathematics to solve problems in a variety of real-world contexts. It includes concepts, procedures, facts and tools to describe, explain and predict phenomena. It assists individuals to know the role that mathematics plays in the world and to make the well-founded judgments and decisions needed by constructive, engaged and reflective 21st century citizens.

  37. Development of the PISA 2021 Mathematics Framework HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Mathematical literacy is an individual’s capacity to reason mathematically and to formulate, employ, and interpret mathematics to solve problems in a variety of real-world contexts. It includes concepts, procedures, facts and tools to describe, explain and predict phenomena. It assists individuals to know the role that mathematics plays in the world and to make the well-founded judgments and decisions needed by constructive, engaged and reflective 21st century citizens. 25% of items

  38. Development of the PISA 2021 Mathematics Framework HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Mathematical literacy is an individual’s capacity to reason mathematically and to formulate, employ, and interpret mathematics to solve problems in a variety of real-world contexts. It includes concepts, procedures, facts and tools to describe, explain and predict phenomena. It assists individuals to know the role that mathematics plays in the world and to make the well-founded judgments and decisions needed by constructive, engaged and reflective 21st century citizens. 25% of items A newsubscalereporting the ability to reasonmathematically

  39. Summary HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Mathematicsis much morethan a toolbox.

  40. Summary HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Mathematicsis much morethan a toolbox. Conceptorientedteachingdoes not fit the presentchallenges. Teach the method of mathematics.

  41. Summary HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Mathematicsis much morethan a toolbox. Conceptorientedteachingdoes not fit the presentchallenges. Teach the method of mathematics. As ithasalwaysbeen, mathematicswillthen be the bestanswer to problems we face today.

  42. Summary HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Mathematicsis much morethan a toolbox. Conceptorientedteachingdoes not fit the presentchallenges. Teach the method of mathematics. As ithasalwaysbeen, mathematicswillthen be the bestanswer to problems we face today. It isso, becausemathematicsis one of the bestparts of the culturalheritage of humanity.

  43. Summary HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND? Mathematicsis much morethan a toolbox. Conceptorientedteachingdoes not fit the presentchallenges. Teach the method of mathematics. As ithasalwaysbeen, mathematicswillthen be the bestanswer to problems we face today. It isso, becausemathematicsis one of the bestparts of the culturalheritage of humanity. Thankyou!

  44. HOW HAS MATHEMATICS TEACHING BEEN IMPROVED IN POLAND?

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