We explore it via our Big Question framework, which provides us with a comprehensive and convenient ‘lens’ through which to view and make sense of this area of knowledge. Kaku video discussing determinism, free will and probability. What does this tell us about the links between mathematical models and physical reality? Excellent Maths Illuminated unit on combinatorials. 1. The article how to score full marks in the business IA was really helpful as it gave me a plan and coming into TOK I was able to build my ideas in structured pattern. A timeline and introduction to famous mathematicians involved in the development of calculus. 8. 9. 5 It makes TOK relevant The BQ structure allows TOK concepts and ideas to be more easily applied to, and used by, other DP subjects, students’ own experiences, and the real world. A large number of apps modelling The Prisoner’s Dilemma, The Monty Hall Problem, The Game of Life etc. Is it possible to know about things that we cannot experience? difficulties in using human language to describe the divine, language shifts: oral to written, Latin to vernacular, conventions: authority of scripture in many systems, leaders and authority figures, key concepts: faith, miracles, god(s), revelation, debates between literal/fundamentalist, conservative and liberal approaches, language developments leading to wider developments, understanding of the self—personal views on life after death, personal moral decision-making. 1. endstream endobj 2640 0 obj <>stream – this is one of the classic ToK maths questions. Why does “i” appear in so many fundamental laws of physics? What does the dispute between Newton and Leibniz tell us about human emotion and mathematical discovery? A (very detailed) discussion about how testing for violations to the inverse square law are at the cutting edge of physics. We establish this by examining the methods of mathematics themselves using the tools of TOK. Pure mathematics requires no prior sense perception at the start of inquiry but the application of mathematics to real-world situations requires techniques such as those used in the natural and human sciences. TOK: Mathematics and the real world. They use emotion as a currency to generate significance at a personal level but reason provides a restrictive framework necessary for the creation of meaning: artworks have their own inner logic. Are the Constants of Nature Really Constant? 8. Thank you, all the way from UWCSA"-Nicolette Sauramba @ Waterford Kamhlaba United World College of Southern Africa (Swaziland), "@adnamaweit Every self-motivated IB student knows  @timwoods..."-Amanda Tiew @ Campaka Schools (Malaysia), "Just want to express my deepest gratitude and appreciation for this website and all the effort you've channelled into helping others with your knowledge and skills. 60 seconds in Thought – Twin paradox (number 5). international families: I am writing three IAs tonight. 2644 0 obj <>/Filter/FlateDecode/ID[<32F0A4334FF00C45BC1525FD027A6398>]/Index[2636 15]/Info 2635 0 R/Length 58/Prev 1181057/Root 2637 0 R/Size 2651/Type/XRef/W[1 2 1]>>stream So many great posts about IB and how to be effective. A huge number of articles from Plus Maths exploring mathematics and the nature of reality. A mathematical look at Fibonacci Numbers in Nature What ethical thinking constrains the methods used to gain knowledge? 3. You saved my life. If you have any questions, don’t hesitate to drop us a line. I just wanted to let you know how great and helpful your website is :)"-Nea @ HF-kursus og IB World School (Denmark), "Thank you so much Mr Woods. Will this theory may seem mathematically correct, we know that in reality, it is impossible. Youtube video Joel Cohen: An Introduction to Demography (minutes 3-9) The term usually refers to the knowledge constructed by a particular group of people such as the Namaqua people of Southern Africa, the Secoya people of Ecuador and Peru, the Ryukyuan people of Japan and the Wopkaimin people of Papua New Guinea. Wikipedia on Lottery mathematics. 4. TED talk about statistics and misconceptions in real life. Integrating the Diploma The DP Integration Tool draws together the strands of the DP, allowing non-TOK teachers to use TOK to enrich their subjects, and help hone students’ critical thinking. Note that one of the key aspects of this approach to TOK is its updatability: we constantly add new lessons and resources to the Big Question framework, and you’ll receive a fresh TOK newsletter every month, making the course much more responsive and relevant to what’s going on in the world than the traditional textbook approach. 10. One of the reasons for this is that the language names concepts—these are the building blocks for knowledge. Carl Sagan on the speed of light and time dilation. 3. Cantor’s diagonal argument which proves there are different sizes of infinity. For example, the view of history as being shaped by the action of individuals as opposed to the idea of history as the playing out of class struggles or of a zeitgeist, an explanation in history is a plausible theory that explains the relevant source material and fits other accepted theories, present preoccupations tend to affect the study of past events, history itself looked different in the past, understanding one’s history gives a clear sense of personal identity, history tends to be constructed through the interaction of individual historians—there is less emphasis on collaborative work than in the natural sciences, the arts perform some sort of social function, role of society in determining what is art, importance of the local cultural dimension in defining value in the arts, the arts might be an instrument of social transformation, role of language and convention in the arts, language of an art form is often non-verbal—frees the arts from being limited to propositional knowledge, artistic creation is often a result of personal knowledge requiring imagination and creativity, creativity requires imagination taking place within a framework, often using reason, art often requires a (possibly emotional) interaction with an audience, relationship between art and technology—new technologies spawn new art forms, for example, film, computer art, computer music, conventions and values in the arts change over time, importance of historical development of an art form in making sense of its present form, relationship between the artwork and the artist is often emotional, art can shape an individual’s view of the world, morality is often regarded as concerned with praiseworthy or blameworthy reasons for action, ethics more generally concerned with answering the question “what should one do?”, moral values seem to be distinct from other sorts of value in that they produce obligations to action, an ethical viewpoint seems to imply that the individual takes the interests of others into consideration as well as his or her own, categories: acts that are prohibited, permitted or required, “what should one do?” might be a different question than “what is one morally obliged to do?”, general requirement for ethical judgments to be universalizable—so they have a public dimension almost by definition, rights seem to be goods that the group is obliged to provide for the individual—so each right claimed carries a corresponding obligation, moral language contains a built-in requirement for action, taking an ethical framework as a starting point and reasoning from general principles to a specific situation, extracting morally significant aspects using reason from the perception of the current situation, ethical principles can be refined by checking them against our moral intuitions, our moral intuitions can be refined by checking them against ethical principles, consequentialist ethics requires imagining consequences of an action and evaluating them, the nature of ethical thought might have changed somewhat from that held by Greek thinkers of the fourth century BCE, perhaps the emphasis now is less on virtues and more on rights, moral obligations require action, so morality impacts on the individual.

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