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Instructions And Recipes In Mathematical Proofs

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In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform

Article „Instructions and recipes in mathematical proofs“ Detailed information of the J-GLOBAL is an information service managed by the Japan Science and Technology Agency (hereinafter

3 Ways to Do Math Proofs - wikiHow

Instructions and constructions in set theory proofs

We present a model of what it means to understand a recipe proof and use this model in conjunction with process-object theories from mathematics education research, to explain why

What role do proofs play in mathematical knowledge? The standard model is that a proof is a logically structured sequence of assertions, beginning from accepted premises and proceeding

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We present a model of what it means to understand a recipe proof and use this model in conjunction with process-object theories from mathematics education research, to explain why

Thimothy GowersChaire CombinatoireCollège de FranceAnnée 2022-2023Séminaire : Recipes and Instructions in Mathematical ProofsIntervenant(s)Fenner Tanswell, Vrije Universiteit

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform

I’m happy to provide copies of any of my works. Email me at F.Tanswell (at symbol) TU-Berlin.de My Google Scholar profile can be found here: link. Books (2024) Mathematical Rigour and

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform

Instead, we argue in favour of the recipe model of proofs: that proofs are like recipes, giving instructions for mathematical actions to be carried out. Discover the world’s

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform

I use Kunen’s text to describe how instructions and constructions in proof work in mathematical practice and explore epistemic consequences of how proofs are read and

Our First Proof! ? Theorem: If n is an even integer, then n2 is even. Proof:Let n be an even integer. Since n is even, there is some integer k such that n = 2k. This means that n2 = (2k)2 = 4k2 =

Volltext lesen zu:Validity; Mathematical Logic; Mathematics Instruction; Models; Mathematics Education; Educational Research; Teaching Methods; Undergraduate Students

In Sect. 2, we outline the recipe model of proofs, under which a proof provides a recipe of instructions for the reader to follow. In Sect. 3, we look at the background of existing

Instructions and recipes in mathematical proofs. https://doi.org/10.1007/s10649-022-10156-2 · Journal: Educational Studies in Mathematics, 2022, № 1, p. 73-87. Publisher: Springer Science

We will see linguistic evidence that written proofs often include explicit instructions in the imperative mood, just like recipes. This will lead to philosophical insights about mathematical diagrams, reading and writing proofs, and why maths is like the Great British Bake Off.

Mathematical proof Facts for Kids

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform

We consider in detail a spe-cific type of proof which we call a recipe proof, which is comprised of sequence of instruc-tions that direct the reader to produce mathematical objects with desirable

We present a model of what it means to understand a recipe proof and use this model in conjunction with process-object theories from mathematics education research, to explain why

We present a model of what it means to understand a recipe proof, and use this model in conjunction with process-object theories from mathematics education research, to explain why recipe

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform

Recipes and Instructions in Mathematical Proofs. Fenner Tanswell. The philosophy of mathematical practice. 17 Oct 2022. 14:00 – 15:00. Share Facebook; X (ex-Twitter) Linkedin;