Functions are the core of algebra, and the teaching of function concepts is also the main task of high school mathematics Students' learning of functions and their concepts shifts from understanding specific quantitative relationships to understanding abstract quantitative relationships The monotonicity of functions, as the property of the first function that students learn in high school, lays a certain foundation for learning function related knowledge in the future.

In contemporary English teaching in primary and secondary schools, good use of modern educational technology can greatly improve the efficiency of teachers' teaching and students' learning, especially during the epidemic period, the application of educational technology in teaching has become an indispensable topic. As the guider of students, teachers should have more mature modern education concepts, master various advanced teaching technologies, prevent the use of "formalism" in educational technology, and ensure that network resources can have a positive impact on students' learning efficiency and effect. This paper adopts the methods of field investigation, interview and literature analysis to investigate and study the current situation of the application of modern educational technology in English teaching in Jinhe Middle School in Genhe City, analyze the existing problems, and propose targeted solutions, in order to effectively apply modern educational technology in Jinhe Middle School and improve its English teaching efficiency and effect.

This study focuses on the improvement strategy of information technology application ability of science education teachers and students under the background of informatization. Firstly, the current status of informatization of science education and the importance of the information technology application ability of teacher training students are analyzed. Subsequently, the promotion strategies were discussed, including curriculum design and implementation, teacher training and development, provision of practice environment and conditions, and construction of evaluation mechanisms. These strategies are expected to systematically improve the information technology application ability of teacher training students and provide effective support for the development of science education. However, these strategies also need to be tried and refined in practice to adapt to the development needs of information technology and science education.

The history of organic polymers is a remarkable journey from the discovery of natural materials like rubber and silk to the development of sophisticated synthetic polymers that have transformed industries and modern life. This comprehensive review article presents a detailed account of the evolution of organic polymers. It begins with the early uses of natural polymers and explores key breakthroughs, including the invention of Bakelite, nylon, and neoprene. The theoretical foundations of polymer science, laid by Hermann Staudinger, are discussed, and the post-war surge in polymer development is examined, including the introduction of polyethylene, polypropylene, and PVC. Notable advances in polymer chemistry, such as isotactic polypropylene and silicone polymers, are highlighted. The article also delves into the development of high-performance polymers like Kevlar and carbon-based materials, offering insights into their applications. Moreover, it discusses the current trends in polymer science, emphasizing sustainability and biodegradability. As the world continues to rely on polymers for numerous applications, this review provides a historical perspective and a glimpse into the future of organic polymers, where innovations are expected to shape various aspects of technology, healthcare, and environmental protection.

City planning is becoming more and more crucial as modernization and urbanization progress quickly. Making maps is an essential and helpful way in the city planning process for gathering data about the layout of a city and its elements, including the roads, traffic, buildings, and environment. Thanks to advancements in technology, computer software is now used to create maps, yielding more accurate and varied results. As a result, cartography is now closely related to and plays a crucial part in city planning. This brief essay will discuss the value of cartography in urban development and planning, as well as the connection between the two.