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Showing 1 to 10 of 10 for “"Quadratics"”.
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Teaching Quadratics with Realistic Mathematics Education
… Mathematics Education (RME) in the study of Quadratics in Algebra I. RME is an instructional tool that can be implemented in any classroom, and does not require any formal training. RME’s 6 characteristics are presented throughout the five lessons included in this curriculum project. The …
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Decreasing Math Anxiety Through a Quadratics Unit
… Based on these findings, a unit plan on quadratics has been created to utilize all of these strategies and to demonstrate to the reader and to mathematics teachers that there are specific pedagogical strategies that teachers can use to help decrease math anxiety in their students. …
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Graphing Quadratics: An inquiry based lesson to support ELL Honors students in Middle School Algebra
Inquiry Based Learning (IBL) is a method of teaching by posing questions, problems and scenarios to help students learn through their own agency and investigation rather than direct instruction from the teacher. Many students today lack the ability to build arguments, defend their reasoning, and …
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On the Dynamics of Quasi-Self-Matings of Generalized Starlike Complex Quadratics and the Structure of the Mated Julia Sets
<p>It has been shown that, in many cases, Julia sets of complex polynomials can be "glued" together to obtain a new Julia set homeomorphic to a Julia set of a rational map; the dynamics of the two polynomials are reflected in the dynamics of the mated rational map. Here, I investigate the Julia …
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Using Interactive Activities to Support the Learning of Factoring Quadratic Equations in Algebra I
Teaching and learning how to factor quadratics in Algebra I classes can be challenging. This curriculum project presents four lessons including interactive activities to address this challenge. When students are able to interact with each other and the content through activities, they build a …
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Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis
… common sum of squares, and maximum/minimum-of-quadratics Lyapunov functions. We prove approximation guarantees for analysis via several families of path-complete graphs and a constructive converse Lyapunov theorem for maximum/minimum-of-quadratics Lyapunov functions.
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Learning to Coordinate Efficiently through Multiagent Soft Q-Learning in the presence of Game-Theoretic Pathologies
… domain in which we work is called the Max of Two Quadratics differential game where two agents need to coordinate in a non-convex landscape, and where learning is impacted by the mentioned pathology, relative overgeneralisation. We close this research investigation by offering a principled …
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Advances in Nonconvex and Robust Optimization
… the feasible region and the convex functions are quadratics. We prove the existence of such SLC decompositions for arbitrary degree polynomials. Further, out of the many possible SLC decompositions, we obtain the one that results in the tightest lower bound. Finally, in the numerical experiments …
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Hybrid optimisation and formation of index tracking portfolio in TSE
… are optimised using mathematical modelling (quadratics) to maximise the returns of the resultant portfolio.In order to address uncertainty within the model variables, robustness is introduced into the objective function of the model in the form of risk tolerance (Degree of uncertainty). The …
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Greed, hedging, and acceleration in convex optimization
… on any class of convex functions richer than quadratics. This provides partial evidence suggesting that convex optimization might be no harder than quadratic optimization. However, these techniques (provably) do not extend to general convex functions. This is roughly because they do not …