Articles

Using Mathematical Thinking in Solving Trigonometric Problems within Mason’s Cognitive Framework

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The paper focuses on the synergy between mathematical thinking and solving trigonometric problems within Mason’s cognitive framework. It presents and analyzes concepts related to mathematical thinking, especially Mason’s definition of the thinking process into three stages: input, impact, and evaluation. Applying this framework to solving trigonometric equations, the paper illustrates how mathematical thinking can help approach problems in an organized and rigorous manner, while opening opportunities for creativity and exploration.

Discussing mathematical thinking, the paper defines it as a creative process involving prediction, induction, interpretation, description, abstraction, and reasoning. Aligned with Mason’s definition of mathematical thinking, the paper describes how this thinking aids students in understanding complex structures and solving problems quickly and flexibly.

Teaching Mathematics with the Assistance of an AI Chatbot to Enhance Mathematical Thinking Skills for High School Students

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The paper introduces the concepts of thinking and mathematical thinking, emphasizing the significance of mathematical thinking in problem-solving and the development of mathematical skills. It elaborates on the process of mathematization, highlighting its role in fostering problem-solving abilities. Furthermore, the article discusses Teaching with the assistance of an AI Chatbot, the objectives of high school mathematics programs, and presents the Teaching Process in Mathematics with the assistance of an AI Chatbot to develop mathematical thinking skills for students. This process includes steps such as defining goals, logging into the AI Chatbot, identifying learning tasks, problem-solving, learning, application and experience, assessment, conclusion, analysis, inference, and mathematical problem-solving. The integration of the AI Chatbot is emphasized, creating a dynamic learning environment that supports students. The AI Chatbot not only provides knowledge but also stimulates curiosity and creativity, helping students understand and apply mathematics to real-world scenarios. The paper provides scientific insights into the application of AI technology in mathematics education, supporting the learning process and developing the mathematical thinking of high school students.