Mathematics Classroom Instruction Research Articles

A Study on the Path of Improving the Quality of Mathematics Classroom Teaching in Vocational Universities

This study aims to explore the path of improving the quality of mathematics education in vocational colleges in order to meet the growing demand for high-quality applied talents in society and industry. It analyses the need to improve the quality of mathematics education and points out that mathematics education should not only focus on imparting theoretical knowledge, but also enhance students' practical application skills. To this end, six main paths were proposed, including clear career-oriented teaching objectives, innovative practice-oriented teaching models, flexible adaptation of course content, use of modern educational technology, diversified evaluation mechanisms and teacher training. Finally, it is recommended that vocational universities strengthen teacher training, increase investment in teaching resources, and deepen cooperation between schools and enterprises during the reform process, so as to ensure that mathematics education keeps pace with the needs of the economy, thereby cultivating applied talents with both a solid mathematical foundation and good professional qualities.

A Study on the Application of Task-Driven Teaching Method in High School Mathematics Teaching: Taking “The Determination of Vertical Line and Plane” as an Example

The “Ordinary High School Mathematics Curriculum Standards (2017 Edition, 2020 Revision)” clearly stated in “Teaching Suggestions” that “teaching activities based on the core literacy of mathematics should grasp the essence of mathematics, create appropriate teaching situations, put forward appropriate mathematical questions, stimulate students to think and communicate, and form and develop the core literacy of mathematics.” The task-driven teaching model is a new type of teaching method that takes tasks as the main line, teachers as the guide, and students as the main body, which can enable students to engage deeply in classroom discussions and think actively. Based on the characteristics and principles of the task-driven teaching method, this paper designs a high school mathematics classroom teaching based on the task-driven teaching method, hoping to provide a reference for the majority of front-line teachers.

Research on the Use Power Point (PPT) in Junior High School Mathematics Classroom Teaching

Since PowerPoint (hereinafter referred to as PPT) is of great significance to mathematics teaching, more and more attention has been paid to how to use PPT effectively in junior high school mathematics classroom teaching. This paper uses the method of theoretical analysis, through the analysis of the characteristics of PPT, the current teaching situation and the problems existing in students' mathematics learning, combined with the various requirements of the Mathematics Curriculum Standards for Compulsory Education (2022 Edition) (hereinafter referred to as The Standards) for junior high school mathematics teaching, puts forward four strategies for using PPT in junior high school mathematics classroom teaching. Through analysis, we can know that PPT is characterized by its powerful presentation function, dynamic presentation effect, lacks of procedural presentation, multiple ways of emphasis, and strong inclusiveness. The current problem of students in mathematics learning is students do not have a firm grasp of basic knowledge and have an inaccurate understanding of many concepts, students' ability to analyze and solve mathematical problems is weak, and they cannot accurately understand the conditions and requirements of the problems, students lack enthusiasm for learning mathematics, and students have improper learning methods and lack the habit of writing on time. The current situation of mathematics classroom teaching is teachers pay too much attention to the teaching of problem-solving methods and calculations and neglect the inspiration and training of problem-solving ideas, teachers' teaching resources are obsolete, and the use of information technology in teaching is inadequate, teachers' teaching methods are rigid and lack diversity and innovation, and the interaction between teachers and students is mostly ineffective and the overall participation of students is low. The standard puts forward specific requirements for the teaching of number and algebra, graphics and geometry, statistics and probability in junior high school. Therefore, through the above analysis, we give the following suggestions: 1. Making full use of the multiple emphasis effect of PPT to highlight different mathematical symbols; 2. Skillfully using the dynamic presentation function of PPT to make the process of mathematical knowledge formation dynamic; 3. Expanding the scope of use of PPT and give full play to the value of PPT in all aspects of teaching; 4. Integrating and collocating a variety of technologies reasonably, and use PPT in a variety of ways to teach mathematics. These strategies can be used for reference by junior high school mathematics teachers in practical teaching.

The modality of mathematics lesson observations: comparing the results of live and video-based coding

ABSTRACT Classroom observations are an integral part of qualitative educational research. Traditionally, classroom observations have been done in-person, with one or more researchers being physically present in a classroom to observe and take field notes. With the proliferation of video technology, researchers are now able to conduct classroom observations at a distance using a variety of technological tools. When deciding on whether to conduct live or video observations, researchers must consider how the observation modality may influence the data. We address this consideration by independently conducting both live and video observations of the same mathematics classroom lessons to identify similarities and differences in the resultant coding between the two modalities. Our findings suggest there are some dimensions of mathematics classroom instruction unaffected by the live or video modality (e.g. nature of discourse, student contribution length) and others that are affected (e.g. lesson connections, mathematical development). Thus, when making decisions about observation modality, it is important to consider the focus of one’s inquiry in addition to other factors such as cost, human capacity, geographical location, and more.

Research on the Usage of PPT in Mathematics Teaching in China

With the advent of the information age, information technology has been widely used in mathematics classroom teaching. How to use PowerPoint (hereinafter referred to as PPT) effectively in mathematics teaching has received more and more attention. At present, there has been much research on it in China, however there is no complete overview and organized literature in this regard. This paper sorts out and summarizes the previous relevant studies and draws the following conclusions: (1) Previous studies on the usage of PPT in mathematics teaching mainly focus on three aspects: the value of PPT, the use of PPT and the use skills of PPT. (2) Previous research methods were single, and suggestions were mainly made through literature research, and the research conclusions were concentrated. The research on the value of PPT has not been deeply discussed and analyzed, so it lacks completeness. Most of the studies only focus on students, and there is no excessive and in-depth discussion on teachers' ability requirements. In addition, the research on the use skills of PPT has not been further implemented and verified, so the feasibility of the conclusion cannot be guaranteed. (3) There are still some gaps in the research on this topic. Most studies focus on the compulsory education stage, and there are few studies on the senior high school stage; Previous studies rarely discussed the disadvantages and shortcomings of PPT, and then did not discuss the problems that teachers should pay attention to avoid when using PPT; There are no relevant surveys and studies on students' attitudes towards PPT.

Curriculum Reform of Higher Vocational Mathematics Under the Background of Digital Transformation

Under the background of digital transformation, the reform of the higher vocational mathematics curriculum faces urgent challenges and opportunities. This article explores the impact of digital transformation on the reform of higher vocational mathematics curriculum and emphasizes the importance of improving teaching methods centered on learners. The article proposes specific reform methods and discusses the practical application of digital technology in the reform process. By combining digital technology with specific reform methods, further conducting innovative practice research, and continuously exploring the path of reform, we can effectively improve the quality of higher vocational mathematics classroom teaching and provide strong support for the cultivation of comprehensive qualities and employment abilities.

Optimization Strategy for the Reform of Applied Mathematics Teaching in Higher Vocational Colleges

In the face of the impact of economic globalization and cultural diversification, higher vocational colleges must provide more diversified and intelligent multi-dimensional education services for college students to promote the rapid innovation of subject teaching and improve student-centered education and teaching concepts. Based on this background, applied mathematics, as a very important basic course in higher vocational education, must carry out all-around teaching reform to continuously improve the comprehensive quality of mathematics of contemporary college students. Therefore, based on the practical experience of applied mathematics teaching and the collation and summary of relevant references, this study explores how to optimize the reform of applied mathematics from several aspects, to further improve the quality of applied mathematics teaching and the comprehensive quality of contemporary college students in mathematics by creating a new model of applied mathematics classroom teaching in higher vocational colleges.

Research on Integrated Teaching of Mathematical Units from the Perspective of HPM

In recent years, unit holistic teaching has been continuously focused on as an effective way to implement core competencies. This teaching method takes a global perspective, organizes teaching content from a unit perspective with systematic thinking, and emphasizes the improvement of students' basic abilities and the development of core competencies. At the same time, teaching based on the history of mathematics is highly valued, HPM (History and Pedagogy of Mathematics) entered the mathematics classroom teaching. HPM teaching can transform science oriented mathematics into education oriented mathematics, thereby maximizing the educational value of the history of mathematics. HPM teaching coincides with unit teaching. This article conducts in-depth research on the overall teaching of mathematical units, sorts out the development of mathematical history, explores the historical background of mathematical knowledge, calculates the evolution process, and effectively integrates mathematical history resources into unit teaching design. The introduction of M-perspective can effectively enrich the content of mathematics teaching, enhance students' interest in learning, deepen their cognitive depth, and help cultivate students' innovative thinking ability in mathematics. Explore the overall teaching implementation strategy of mathematical units, propose corresponding teaching suggestions, and provide reference for mathematics educators.

Research on Strategies for Improving Teaching Efficiency of Middle School Mathematics Classrooms under the Background of Key Competencies

With the deepening of the new curriculum reform, the cultivation of Key Competencies has become a key task in subject teaching. The Key Competencies of the mathematics discipline reflects the nurturing value of the mathematics discipline and has an important role and significance for the growth and development of students. The classroom is the main position for cultivating students' Key Competencies and imparting knowledge, so it is very necessary to improve the efficiency of classroom teaching and cultivate students' Key Competencies. This paper analyses the importance of improving the efficiency of classroom teaching in the context of Key Competencies and the current status quo of junior middle school mathematics classroom teaching, and on this basis proposes strategies to improve the efficiency of classroom teaching, to promote the cultivation and enhancement of students' Key Competencies.

Reflections on Implementing Reasoning Ability in Junior High School Mathematics Classroom Teaching

Reasoning ability is a hot topic in the field of education at home and abroad. Based on the meaning and training requirements of reasoning ability in the Mathematics Curriculum Standards for Compulsory Education (2022 Edition), this paper studies the current teaching status of classroom reasoning ability in junior high schools, and draws the following conclusions: 1. Teachers carry out teaching activities closely around the requirements of curriculum standards and textbook content; 2. Some teachers, especially veteran teachers have the thinking inertia of teaching; 3. Most students can only focus on what they are currently learning; 4. Students are inert in learning. Therefore, this paper gives the following four teaching suggestions: 1. Teachers engage in group lesson planning; 2. Teachers include a section in the exercise class where students explain the exercises; 3. The teacher expands the content of the textbook appropriately when teaching, and shows students the theorem-proving process; 4. Teachers conduct unit thematic teaching activities. The above four suggestions will help teachers to cultivate students' reasoning ability.

Discussion on teacher-student interaction strategies in rural primary school mathematics classroom teaching under new curriculum standards

Discussion on teacher-student interaction strategies in rural primary school mathematics classroom teaching under new curriculum standards

智慧学习环境下高等数学课堂教学实践研究

智慧学习环境下高等数学课堂教学实践研究

Reconstruction of the Mathematics Classroom Teaching System under the New Curriculum Philosophy—Analysis Based on Compulsory Mathematics Curriculum Standards (2022)

Reconstruction of the Mathematics Classroom Teaching System under the New Curriculum Philosophy—Analysis Based on Compulsory Mathematics Curriculum Standards (2022)

具身认知视野下的小学数学课堂教学探究

具身认知视野下的小学数学课堂教学探究

Examining the Integration of Model Concept Literacy in Mathematics Instruction for Junior High School Students

Compulsory Education Mathematics Curriculum Standards [1] emphasizes the core literacy of model concept, and there are many current studies around model concept, but there are few analyses aimed at the implementation of the model concept literacy of the junior high school mathematics curriculum standard in the junior high school mathematics classroom teaching, so this paper analyzes the feasibility of and strategies for the implementation of the model concept based on the connotation of the model concept and the current status quo of junior high school mathematics teaching. Teachers can take the form of collective lesson planning to strengthen the understanding of the connotation of the model concept; introduce the materials related to mathematical learning that occurs in real life into the classroom promptly, and show them to students in the classroom in a contextual way; explain the process of mathematical modeling, knowledge points, analytical ideas, and other basic knowledge, and use a variety of teaching methods such as inspirational, discursive, exploratory, and practical, to create a relaxed and free learning atmosphere; promote students' mastery of equations, inequalities, functions, and other knowledge, creating opportunities to cultivate model concept literacy, consciously carrying out practical teaching activities, improving the ability to use mathematical models to solve problems, etc., to be able to truly implement the model concept in the classroom.

Reflection on Implementing Geometric Intuition in the Junior High School Mathematics Classroom

As one of the core literacies emphasized in the Mathematics Curriculum Standards for Compulsory Education (2022 Edition), geometric intuition has been widely valued in the current junior high school mathematics teaching. Based on the method of theoretical analysis, this paper analyzes the connotation of geometric intuition literacy combines it with the practice of current mathematics classroom teaching, and proposes four implementation strategies for geometric intuition literacy in junior high school mathematics classrooms, which are as follows: 1. Add operational practice to classroom teaching; 2. Provide thematic courses related to ruler drawing; 3. Reasonable use of modern educational technology to assist classroom teaching; 4. Organize special questions about charts to practice with students. These strategies can be used for reference by junior high school mathematics teachers in practical teaching.

Analysis of Operation Ability Literacy in Junior Middle School Mathematics Classroom Teaching

The "Compulsory Education Mathematics Curriculum Standards (2022 Edition)" revised in 2022 clearly points out that the cultivation of mathematical operation ability is of great significance and value to the development of students' core literacy. Starting from the analysis of the connotation and requirements of mathematical operation ability literacy in the new curriculum standard, this paper analyzes the current situation of implementing mathematical operation ability literacy in the current junior middle school mathematics classroom teaching. Therefore, specific suggestions are put forward for the implementation of operation ability literacy: 1. Teachers should pay attention to the introduction in class and students' mastery of algorithms and calculation laws; 2. Teachers should standard their own problem-solving process to play an exemplary role; 3. Teachers should emphasize the principle of operation so as to encourage the students to make simple calculations; 4. In the teaching process, teachers should pay attention to guiding and questioning students, so as to promote the development of students' mathematical reasoning ability. These strategies can provide a reference for junior middle school mathematics teachers to cultivate students' mathematical operation abilities.

Implementing Abstraction Ability Literacy in Junior High School Mathematics Classroom Teaching: Strategies to Apply

Implementing Abstraction Ability Literacy in Junior High School Mathematics Classroom Teaching: Strategies to Apply

Research on the Implementation of Space Concept Literacy in the Junior High School Mathematics Classroom Teaching in China

Current junior high school mathematics classrooms are increasingly focusing on the implementation of mathematics core literacy in China. Space concept literacy is one of the core literacy, so its implementation is attracting much attention. Based on clarifying the connotation and requirements of space concept literacy in the Mathematics Curriculum Standards for Compulsory Education (2022 Edition), and analyzing the highlights and deficiencies of junior high school mathematics classroom teaching, this paper puts forward four strategies for the implementation of space concept literacy in the classrooms: 1. designing life-related geometric inquiry activities with clear programs; 2. making reasonable use of objects and models; 3. adding measurement, graphing, manipulation into the teaching process; 4. flexibly using mathematics teaching software and emerging technologies to assist teaching. It is hoped that these strategies can provide ideas for the better development of junior high school mathematics teaching.

Research on Implementation of Application Consciousness Literacy in Junior High School Mathematics Classroom Instruction

The Compulsory Education Mathematics Curriculum Standard (2022 Edition) proposes that the junior high school mathematics curriculum should cultivate students' mathematical application consciousness literacy in China. The classroom is the main position for students to learn mathematical knowledge, so how to better implement the cultivation of junior high school students' mathematical application consciousness literacy in classroom teaching is a key issue we need to study. This paper adopts the method of theoretical research. The first part explains the research questions. The second part analyzes the characteristics based on the connotation and requirements of application consciousness literacy. The third part analyzes the current situation of junior high school mathematics teaching. The fourth part puts forward the following training strategies to promote the implementation of application consciousness literacy: 1. Adopting a rich variety of teaching methods to stimulate the students' interest in learning; 2. Tapping into the connection between mathematical knowledge and real life to cultivate the students' mathematical vision; 3. Implementing interdisciplinary teaching to establish the connection between different disciplines; 4. Creating practical situations to enable students to form a learning style that combines theory and practice. The fifth part summarizes the full text.