https://padlet.com/markclement/r304tomb330e What does the use of the metaphor of the tree tell us about the development of mathematics as an academic discipline? en-us 2020-02-17 07:01:10 UTC 2020-03-06 11:23:32 UTC hello@padlet.com https://padlet.com/markclement/r304tomb330e/wish/447219469 The tree is used as a sort of diagram. It shows the basis of mathematic knowledge (the trunk) and then expands into all the different categories and sub-categories (leaves and branches). The tree is used as a metaphor for the foundations of maths and how each discipline develops into another.]]> 2020-02-19 03:14:51 UTC https://padlet.com/markclement/r304tomb330e/wish/447219469 https://padlet.com/markclement/r304tomb330e/wish/447227917 I believe the tree represents the foundation that one has in mathematics (one of the AOK) and how as you start to study it deeper your knowledge branches out and grows into each of the branches of the subject until eventually, they all connect to make the bigger picture. 
Historical development is like a tree because it starts off small and basic and then it starts to grow into something more elaborate and which invokes more than one area of the subject while connecting many different ideas.]]> 2020-02-19 03:42:01 UTC https://padlet.com/markclement/r304tomb330e/wish/447227917 https://padlet.com/markclement/r304tomb330e/wish/447250043 I think that a tree is a metaphor for the development of mathematics as the trunk can represent the basic maths and how its the foundation for everything else and then the more you know the more it branches out as there are so many categories in mathematics and so many different explanations for everything as well as how in the end it creates the bigger picture of everything making sense.]]> 2020-02-19 05:17:32 UTC https://padlet.com/markclement/r304tomb330e/wish/447250043 https://padlet.com/markclement/r304tomb330e/wish/447261788 I believe that the tree is a metaphor on how to learn maths. Without the trunk, there will be no leaves growing. Therefore, without the basic knowledge of maths such as numbers, logic and set theory, you will not be able to understand other topics. The separate tree branches also symbolise how each topic is somehow linked to each other. It also shows that over time, mathematics has created many new topics based on the basics (trunk) or more advanced topics (branches), and therefore increasing the mathematical knowledge (growing more leaves).]]> 2020-02-19 06:28:42 UTC https://padlet.com/markclement/r304tomb330e/wish/447261788 s02777 https://padlet.com/markclement/r304tomb330e/wish/447266099 I believe that the tree reflects the significance in basics of math. As the trunk represent the basic, it is showing us that the stronger foundation the tree has, the more knowledge we can grow from it as it is strong enough to support the other branches. Therefore the metaphoric tree is indicating that without the strong base in math it is hard to support and build up the knowledge to extend out the knowledge in math. ]]> 2020-02-19 06:51:31 UTC https://padlet.com/markclement/r304tomb330e/wish/447266099 https://padlet.com/markclement/r304tomb330e/wish/447266370 I believe the image represents the developmental process of mathematics and shows how every (most) concepts in math are intertwined. It also shows that mathematics is built up from a few foundational ideas, of which the understanding of is necessary for the understanding of math as a whole. The tree also suggests that math as a discipline grew from building upon past ideas and theories.]]> 2020-02-19 06:53:18 UTC https://padlet.com/markclement/r304tomb330e/wish/447266370 https://padlet.com/markclement/r304tomb330e/wish/447299556 By Juan V]]> 2020-02-19 09:13:50 UTC https://padlet.com/markclement/r304tomb330e/wish/447299556 https://padlet.com/markclement/r304tomb330e/wish/447307983 I believe that the tree is a metaphor for the evolution of mathematics and is showing the interrelationships between the basics and the complex concepts. The trunk as the representative of a general notion, the growing branches shows diverse approaches that can be applied to support the fundamental idea. Furthermore, leaves that are situated on the branches in no specific order reflects the process of mathematics where there isn’t a particular sequence to follow, instead, the steps are very informal.]]> 2020-02-19 09:44:16 UTC https://padlet.com/markclement/r304tomb330e/wish/447307983 https://padlet.com/markclement/r304tomb330e/wish/451259159 The historical development of mathematics is shown through the growth of the tree. At the root of the tree is logic - the root of mathematics in which people in the past use logic to solve problems first. After that, (from the root grows the trunk of the tree), they start setting theories and then a world of number systems come into existence and so on until nowadays as people use mathematics to model real-life situations (the top of the tree). ]]> 2020-02-27 09:29:02 UTC https://padlet.com/markclement/r304tomb330e/wish/451259159 s04799 https://padlet.com/markclement/r304tomb330e/wish/455526088 The trunk represents mathematical foundations and basic general concepts. Branches sprouting from the trunk means theories are built from existing concepts and are developed to be a mathematical system. In addition, it is understood that we need the basic mathematical concepts in order to expand knowledge.

]]> 2020-03-06 02:49:50 UTC https://padlet.com/markclement/r304tomb330e/wish/455526088 https://padlet.com/markclement/r304tomb330e/wish/455664240 I think that the tree is a metaphor that represents the historical development of mathematics. At the most basics (at the roots), Math is simply logic then it grown to involve set theory which followed by number systems and then it branches out to different areas with more theories and concepts. So the historical development of mathematics shown that all of the theory in the mathematical realm came from the same root which is logic, and from logic and set theory and number systems that it has blossomed into different types of fruits which are unique mini-concepts of each branch (theory).

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