دانلود کتاب هوش مصنوعی در آموزش ریاضیات – تحلیل شناختی و شبیه‌سازی شناختی

Mathematics is an important part of human culture. With the rapid growth of information and digitization around the world, mathematical literacy has become increasingly important to every citizen and an essential competency that every citizen should possess in modern society. Mathematical problem-solving ability is an important part of mathematical literacy. Mathematics education worldwide has given much attention to student problem-solving ability in the past few decades. In the 1980s, the U.S. programmatic document for school mathematics education, An Agenda for Action, explicitly stated that “the mathematics curriculum should be built around problem solving.” In September 2011, the Obama administration reauthorized the Elementary and Secondary Education Act (ESEA), which focuses on improving student learning and problem-solving skills (U.S. Department of Education, 1965). Japanese mathematics education has also attached great importance to “problem solving.” In 1994, Japanese mathematics education started to implement the new mathematics curriculum in an all-round way and added “teaching with the subject” to the syllabus. The process of “teaching with the subject” is based on the characteristics of “solving problems” in math classes (Zhang & Tang, 2005). The well-known Cockcroft Report (1982) emphasized, “Problem solving should be regarded as an important part of curriculum theory.” In China, according to The Compulsory Education Mathematics Curriculum Standards (2011 edition), “mathematics courses should enable everyone to receive a good math education and to improve every student’s ability further on the premise of admitting the individual differences between students. Students’ capacity to discover and ask questions is the foundation of innovation (Ministry of Education of the People’s Republic of China, 2012).” In addition, the 2022 edition (Ministry of Education of the People’s Republic of China, 2022) highlights that the compulsory education mathematics curriculum should enable students to develop the key competences needed for social and personal development through the study of mathematics. The cultivation of students’ ability to solve problems is an essential educational function of mathematical thinking. Improving students’ problem-solving skills is an effective way to reduce their academic burden. The appropriate design of mathematics questions and practical problem-solving strategies can support student thinking processes and knowledge development to enhance their conceptual understanding. Flexibility in mathematical thinking and application is the ultimate goal of problem solving.