Untangling the “Knot” Your Typical Math problem

2019 ◽  
Vol 25 (7) ◽  
pp. 400-403
Author(s):  
Amanda Ruch ◽  
Sara Rezvi
Keyword(s):  
Knot Theory ◽  
Math Problem ◽  
Geometry Curriculum

As students create and analyze mathematical knots, they develop their ability to reason spatially and engage in concepts not typically part of a geometry curriculum. Originally published in the May 2018 issue of TCM, this problem allows students to expand their understanding of mathematics by exploring knot theory.

Knot Your Typical Math Problem

2018 ◽  
Vol 24 (7) ◽  
pp. 414-417
Author(s):  
Adam Gerlings
Keyword(s):  
Elementary School ◽  
Elementary School Teachers ◽  
Knot Theory ◽  
Mathematical Study ◽  
School Teachers ◽  
Math Problem ◽  
School Problem

This elementary school problem intersects with a lesser-known field of professional mathematics known as Knot theory, the mathematical study of knots. Each month, elementary school teachers are presented with a problem along with suggested instructional notes; asked to use the problem in their own classrooms; and encouraged to report solutions, strategies, reflections, and misconceptions to the journal audience.

Cognitive ability and math computation developmental relations with math problem solving: An integrated, multigroup approach.

2019 ◽  
Vol 34 (1) ◽  
pp. 96-108 ◽  
Author(s):  
Ethan F. Villeneuve ◽  
Daniel B. Hajovsky ◽  
Benjamin A. Mason ◽  
Brittany M. Lewno
Keyword(s):  
Problem Solving ◽  
Cognitive Ability ◽  
Math Problem ◽  
Math Problem Solving

scholarly journals Probalistic Thinking Based on Probabilistic Thinking Responses to Math Problem Solving

2021 ◽  
Vol 1720 ◽  
pp. 012017
Author(s):  
Yulia Maftuhah Hidayati ◽  
Nurul Afifah ◽  
Nurhidayat ◽  
Djalal Fuadi ◽  
Apuanor ◽  
...  
Keyword(s):  
Problem Solving ◽  
Math Problem ◽  
Probabilistic Thinking ◽  
Math Problem Solving

QFT and unification of knot theories

2014 ◽  
Vol 29 (24) ◽  
pp. 1430025
Author(s):  
Alexey Sleptsov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Knot Theory ◽  
Topological Quantum Field Theory ◽  
Quantum Field ◽  
Knot Invariants ◽  
Topological Quantum

We discuss relation between knot theory and topological quantum field theory. Also it is considered a theory of superpolynomial invariants of knots which generalizes all other known theories of knot invariants. We discuss a possible generalization of topological quantum field theory with the help of superpolynomial invariants.

Weight Systems from Feynman Diagrams

1998 ◽  
Vol 07 (01) ◽  
pp. 61-85 ◽  
Author(s):  
Dirk Kreimer
Keyword(s):  
Field Theory ◽  
Knot Theory ◽  
Feynman Diagrams ◽  
Weight System ◽  
Term Relation ◽  
Renormalization Theory

We find that the overall UV divergences of a renormalizable field theory with trivalent vertices fulfil a four-term relation. They thus come close to establish a weight system. This provides a first explanation of the recent successful association of renormalization theory with knot theory.

Disentangling Topological Puzzles by Using Knot Theory

2006 ◽  
Vol 79 (5) ◽  
pp. 368-375 ◽  
Author(s):  
Matthew Horak
Keyword(s):  
Knot Theory
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