# „Myślenie w nauczaniu matematyki” | Szymon Gabrek | TEDxJSP Jaskółka Youth Source: https://www.youtube.com/watch?v=5DpO4wu6E5E Recap page: https://rapidrecap.app/video/5DpO4wu6E5E Generated: 2026-02-27T16:32:52.819+00:00 --- ## Quick Overview Szymon Gabrek's TEDx Jaskółka talk advocates for fundamentally shifting mathematics education away from rote memorization and algorithmic execution toward fostering genuine thinking skills, as exemplified by the historical approach of Peter Liljedahl, who emphasized creating conditions where students actively engage with problems rather than passively receiving solutions. **Key Points:** - The core goal of mathematics education should shift from rote learning and algorithmic execution to fostering genuine thinking skills in students. - The speaker cites Peter Liljedahl, who, 100 years ago, researched methods to create environments where students must think through problems rather than simply copying solutions. - Gabrek identifies four main types of 'counterfeiting' (udaawanie) that must be eliminated from the classroom: copying work, copying notes, guessing answers, and surface-level work. - These four types of 'counterfeiting' drastically change the dynamic in the classroom, leading students to be passive recipients rather than active problem-solvers. - The speaker suggests that teachers should act as pilots, setting the conditions for learning rather than dictating every step, allowing students to struggle productively. - The desired outcome is creating conditions where students are forced to think, such as by having them work in small groups (three people) and tackle problems without immediate answers or copying from the board. - The talk concludes by urging educators to remember that mathematics can be fascinating, but only if students are challenged to engage deeply with it. ![Screenshot at 00:10: The title slide introducing the speaker, Szymon Gabrek, and the topic: "Myślenie w nauczaniu matematyki" \(Thinking in Mathematics Teaching\) at TEDx Jaskółka.](https://ss.rapidrecap.app/screens/5DpO4wu6E5E/00-00-10.jpg) **Context:** This video captures a TEDx Jaskółka Youth talk by Szymon Gabrek, titled 'Myślenie w nauczaniu matematyki' (Thinking in Mathematics Teaching). The presentation focuses on pedagogical reform in mathematics education, arguing that the current system often promotes shallow learning methods—which Gabrek terms 'counterfeiting'—instead of deep conceptual understanding and critical thinking, drawing inspiration from early 20th-century educational research. ## Detailed Analysis Szymon Gabrek delivers a passionate argument for transforming mathematics instruction by focusing on cultivating deep thinking rather than rote memorization and algorithmic performance. He begins by establishing that many existing classroom habits—such as copying notes or solutions from the board, or students guessing answers—are forms of 'counterfeiting' that prevent real learning. Gabrek cites the work of Peter Liljedahl from a century prior, whose research showed that students often perform these rote tasks because the environment is structured to reward imitation over genuine problem-solving. Gabrek outlines four specific types of counterfeiting he observed: copying work, copying notes, guessing answers, and only superficial engagement with problems. He argues that when students are always provided with the next step or the answer immediately (like copying from a textbook or board), they stop thinking for themselves. To counter this, Gabrek advocates for teachers to adopt the role of a 'pilot,' setting the conditions for learning—often by having students work in small groups of three—and allowing them the necessary struggle to find solutions themselves. He emphasizes that mathematics should be fascinating, but only if students are actively wrestling with problems, even if it means taking a step back from constantly providing immediate answers or solutions. The ultimate goal is to create an environment where students are compelled to think deeply about the material and actively engage in problem-solving. ### Introduction and Thesis - Eliminating the 'Jaskółka' (Swallow) of ideas that remain only as thoughts - The core message is that many students only mimic learning (counterfeiting) without genuine thought. ### The Problem of Counterfeiting - Four types of imitation identified: copying work, copying notes, guessing answers, and superficial work - These habits persist because they often lead to passing grades (e.g., getting a passing grade on an assignment without deep understanding). ### Historical Context - Referencing Peter Liljedahl's century-old research on creating an environment where students must think, rather than just copy - Liljedahl's findings support the need to stop teaching by rote copying. ### Proposed Solutions - Teachers must act as pilots, setting conditions for productive struggle - Encouraging small group work (groups of three) and avoiding immediate answers, like not providing the pencil/ruler needed to solve a geometry problem. ### The Goal - Making mathematics fascinating by demanding thinking - The change in dynamic forces students to engage deeply, making the subject interesting, rather than being passively instructed. ![Screenshot at 00:00: Title card for TEDx Jaskółka event, dated 27 stycznia 2026, showing event partners.](https://ss.rapidrecap.app/screens/5DpO4wu6E5E/00-00-00.jpg) ![Screenshot at 00:10: Title slide for Szymon Gabrek's talk: "Myślenie w nauczaniu matematyki" \(Thinking in Mathematics Teaching\).](https://ss.rapidrecap.app/screens/5DpO4wu6E5E/00-00-10.jpg) ![Screenshot at 01:12: Audience members raising their hands in response to a question posed by the speaker, indicating engagement.](https://ss.rapidrecap.app/screens/5DpO4wu6E5E/00-01-12.jpg) ![Screenshot at 02:49: Close-up of the speaker gesturing while detailing the four types of 'counterfeiting' in learning.](https://ss.rapidrecap.app/screens/5DpO4wu6E5E/00-02-49.jpg) ![Screenshot at 08:45: The speaker receiving applause after concluding his presentation, with the final slide displayed.](https://ss.rapidrecap.app/screens/5DpO4wu6E5E/00-08-45.jpg)