The Development and Application of an Intelligent Assessment and Strategy Implementation System for Non-Intellectual Factors in Mathematics Learning Among Senior High School Students
Abstract
:1. Introduction
1.1. Literature Review
1.1.1. Non-Intellectual Factors
1.1.2. The Relationship Between Non-Intellectual Factors and Academic Achievement in Mathematics
1.1.3. Assessment Tools for Non-Intellectual Factors in Mathematics
1.2. Research Questions
2. Methodology
2.1. Development of the Intelligent Assessment and Strategy Implementation System
2.1.1. Research Design for the Development of the Intelligent Assessment and Strategy Implementation System
2.1.2. Research Tools for the Development of the Intelligent Assessment and Strategy Implementation System
2.2. Application of the Intelligent Assessment and Strategy Implementation System
2.2.1. Research Design for the Application
2.2.2. Participants
2.2.3. Research Tools for the Application
3. Results
3.1. Development of the Intelligent Assessment and Strategy Implementation System
3.1.1. The Development Process of the Intelligent Assessment and Strategy Implementation System
3.1.2. Functions of the Intelligent Assessment and Strategy Implementation System
3.2. Application of the Intelligent Assessment and Strategy Implementation System
3.2.1. Comparison of Traditional and Smart Assessments
3.2.2. Evidence-Based Effectiveness Testing of the Intelligent Assessment and Strategy Implementation System
3.2.3. Empirical Effects of Typical Cases Using the Intelligent Assessment and Strategy Implementation System
3.3. Effectiveness Testing of Intervention and Improvement
4. Discussion and Conclusions
4.1. The Intelligent Assessment and Strategy Implementation System Can Efficiently and Comprehensively Diagnose Senior High School Students’ Mathematics Non-Intellectual Factors
4.2. The Intelligent Assessment and Strategy Implementation System Provides Precise Strategy Support for Enhancing Non-Intellectual Factors in Mathematics Learning Among Senior High School Students
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Dimension | Cronbach’s Alpha Coefficient | Split-Half Reliability | Test-Retest Reliability |
---|---|---|---|
Non-intellectual factors in mathematics | 0.940 | 0.955 | 0.857 |
Motivation | 0.904 | 0.791 | 0.805 |
Emotion | 0.900 | 0.791 | 0.788 |
Attitude | 0.864 | 0.865 | 0.812 |
Willpower | 0.802 | 0.848 | 0.794 |
Personality | 0.737 | 0.764 | 0.794 |
Dimension | Non-Intellectual Factors in Mathematics | Motivation | Emotion | Attitude | Willpower | Personality |
---|---|---|---|---|---|---|
Non-intellectual factors in mathematics | 1 | |||||
Motivation | 0.868 *** | 1 | ||||
Emotion | 0.773 *** | 0.594 *** | 1 | |||
Attitude | 0.842 *** | 0.683 *** | 0.705 *** | 1 | ||
Willpower | 0.753 *** | 0.687 *** | 0.502 *** | 0.746 *** | 1 | |
Personality | 0.776 *** | 0.587 *** | 0.506 *** | 0.535 *** | 0.535 *** | 11 |
Principal Dimension | Sub-Dimension | Number of Questions |
---|---|---|
Motivation-A (100 points) | Cognitive Motivation-A1 (45 points) | 9 |
External Motivation-A2 (20 points) | 4 | |
Achievement Required-A3 (35 points) | 7 | |
Emotion-B (100 points) | Emotional Stability-B1 (25 points) | 5 |
Learning Anxiety-B2 (40 points) | 8 | |
Learning Self-Efficacy-B3 (35 points) | 7 | |
Attitude-C (90 points) | View of Mathematics-C1 (35 points) | 7 |
Learning Beliefs-C2 (25 points) | 5 | |
Learning Responsibility-C3 (30 points) | 6 | |
Willpower-D (45 points) | Self-discipline-D1 (25 points) | 5 |
Perseverance-D2 (20 points) | 4 | |
Personality-E (50 points) | Query Spirit-E1 (30 points) | 6 |
Competitiveness-E2 (20 points) | 4 |
Dimension | Performance | Suggestion | |
---|---|---|---|
Motivation-A (100 points) | Cognitive Motivation-A1 (45 points) | High level (X > 35): H-A1 | S-A1 |
Medium level (29 ≤ X ≤ 35): M-A1 Low level (X < 2 9): L-A1 | S-A2 | ||
External Motivation-A2 (20 points) | High level (X > 14): H-A2 | S-A3 | |
Medium level (10 ≤ X ≤ 14): M-A2 Low level (X < 10): L-A2 | S-A4 | ||
S-A5 | |||
Achievement Requires-A3 (35 points) | High level (X > 29): H-A3 | S-A6 | |
Medium level (24 ≤ X ≤ 29): M-A3 Low level (X < 24): L-A3 | S-A7 | ||
Emotion-B (100 points) | Emotional Stability-B1 (25 points) | High level (X > 22): H-B1 | S-B1 |
Medium level (17 ≤ X ≤ 22): M-B1 Low level (X < 17): L-B1 | S-B2 | ||
Learning Anxiety-B2 (40 points) | High level (X > 32): H-B2 | S-B3 | |
Medium level (26 ≤ X ≤ 32): M-B2 Low level (X < 26): L-B2 | S-B4 | ||
Learning Self-Efficacy-B3 (35 points) | High level (X > 26): H-B3 | S-B5 | |
Medium level (21 ≤ X ≤ 26): M-B3 Low level (X < 21): L-B3 | S-B6 | ||
Attitude-C (90 points) | View of Mathematics-C1 (35 points) | High level (X > 29): H-C1 | S-C1 |
Medium level (23 ≤ X ≤ 29): M-C1 Low level (X < 23): L-C1 | S-C2 | ||
Learning Beliefs-C2 (25 points) | High level (X > 22): H-C2 | S-C3 | |
Medium level (18 ≤ X ≤ 22): M-C2 Low level (X < 18): L-C2 | S-C4 | ||
Learning Responsibility-C3 (30 points) | High level (X > 26): H-C3 | S-C5 | |
Medium level (22 ≤ X ≤ 26): M-C3 Low level (X < 22): L-C3 | S-C6 | ||
Willpower-D (45 points) | Self-discipline-D1 (25 points) | High level (X > 21): H-D1 | S-D1 |
Medium level (17 ≤ X ≤ 21): M-D1 Low level (X < 17): L-D1 | S-D2 | ||
Perseverance-D2 (20 points) | High level (X > 17): H-D2 | S-D3 | |
Medium level (13 ≤ X ≤ 17): M-D2 Low level (X < 13): L-D2 | S-D4 | ||
Personality-E (50 points) | Query Spirit-E1 (30 points) | High level (X > 22): H-E1 | S-E1 |
Medium level (19 ≤ X ≤ 22): M-E1 Low level (X < 19): L-E1 | S-E2 | ||
Competitiveness-E2 (20 points) | High level (X > 14): H-E2 | S-E3 | |
Medium level (12 ≤ X ≤ 14): M-E2 Low level (X < 12): L-E2 | S-E4 |
Class | Number of Cases | Mean Score | Level | Rankings |
---|---|---|---|---|
Class I | 34 | 272.71 | Middle | 1 |
Class II | 43 | 253.44 | Middle | 10 |
Class III | 39 | 264.75 | Middle | 6 |
Class IV | 26 | 263.04 | Middle | 7 |
Class V | 37 | 262.11 | Middle | 9 |
Class VI | 40 | 262.81 | Middle | 8 |
Class VII | 41 | 271.21 | Middle | 3 |
Class VIII | 38 | 269.69 | Middle | 4 |
Class IX | 42 | 272.60 | Middle | 2 |
Class X | 34 | 264.95 | Middle | 5 |
Class XI | 40 | 223.78 | Lower-middle | 12 |
Class XII | 44 | 249.86 | Middle | 11 |
Intervention Content | Intervention Stages | Teacher–Student Interaction | Student–Student Interaction |
---|---|---|---|
Intervention 1—Recognizing non-intellectual factors in mathematics learning | Planning stage | (1) Teachers set intervention goals. (2) Teachers design ice-breaking activities (e.g., Stickman Rush, Intelligent Roll Call) to stimulate group dynamics. | Students discuss and negotiate to set goals. |
Finalize the objectives: (1) Understand the components of non-intellectual factors in mathematics learning based on the information provided by the teacher. (2) Analyze personal challenges in mathematics learning based on these components and the personal diagnostic report. | |||
Implementation stage | Activity 1: Case Study Presentation—The Pity of Zhong Yong Activity 2: Teacher-Led Inquiry | Activity 1: Read materials provided by the teacher to understand the non-intellectual factors in mathematics learning. Activity 2: Students share their views and analyze the task. | |
Reflection stage | Activity: Complete the Feedback Form on Intervention and Improvements for Non-intellectual Factors in Mathematics Learning. | Activity: Student Self-Evaluation Time | |
Intervention 2—Motivational dimension: fun math, happy learning | Planning stage | Teachers set intervention goals. | Students discuss and negotiate to set goals. |
Finalize the objectives: (1) Search for mathematics-related books (including the history of mathematics, fun mathematical puzzles, mathematical novels, etc.), gain a basic understanding of the content, and choose sections to read during extracurricular time to enhance interest in mathematics and understanding of the subject. (2) Learn about world-renowned mathematicians and their outstanding achievements and explore the connections between their work and what has been learned to stimulate curiosity and enhance the need for achievement in mathematics learning. | |||
Implementation stage | Activity 1: Möbius Strip Activity 2: Drawing Ellipses with Origami | Strategy Options: S-A2, S-A7 (Table 4) | |
Activity 1: What Do You Know About Mathematicians? Activity 2: Setting Mathematics Learning Goals | |||
Reflection stage | Review the key points of the lesson and re-emphasize the important role of motivation in effective mathematics learning and personal growth. | ||
Intervention 3—Emotional dimension: I am in charge of my emotions | Planning stage | Teachers set intervention goals. | Students discuss and negotiate to set goals. |
Finalize the objectives: (1) Reflect on past mathematics learning experiences, build confidence through memorable successes, and relive the successful experience of learning mathematics. (2) Apply the theory of attributing success and failure by reflecting on gains and losses in the midterm mathematics exam. (3) Share mathematics learning experiences, learn from each other, explore personalized learning strategies, and identify new breakthroughs. | |||
Implementation stage | Activity 1: Strengths Savings Bank Activity 2: Attribution Training Activity 3: Mathematics Learning Strategies Exchange Conference | Strategy Options: S-B5, S-B7 (Table 4) | |
Activity 1: Strengths Bombardment Activity 2: Attribution Training for Midterm Exam Success or Failure | |||
Reflection stage | Review the key points of the lesson and re-emphasize the important role of emotions in mathematics learning and their impact on learning efficiency and personal growth. | ||
Intervention 4—Attitude dimension: attitude determines altitude, and details determine success | Planning stage | Teachers set intervention goals. | Students discuss and negotiate to set goals. |
Finalize the objectives: Construct connections between different chapters of mathematical knowledge (e.g., ellipse, hyperbola, and parabola in the conic sections chapter), begin creating a mind map, and form a network of mathematical knowledge. | |||
Implementation stage | Activity 1: The Nature of Mathematics Activity 2: The Value of Mathematics | Strategy Selection: S-C2 (Table 4) | |
Activity: Create a Mathematical Knowledge Mind Map | |||
Reflection stage | Review the key points of the lesson and re-emphasize the role of attitudes in enhancing the efficiency of mathematics learning and fostering personal growth. | ||
Intervention 5—Willpower dimension: giving up is easy, but perseverance is cool | Planning stage | Teachers set intervention goals. | Students discuss and negotiate to set goals. |
Finalize the objectives: (1) Understand that willpower is an important factor in improving the effectiveness of mathematics learning. (2) Select role models in mathematics learning. (3) Develop a mathematics study plan. | |||
Implementation stage | Activity: Explore the Lives of Mathematicians | Strategy Selection: S-D2 (Table 4) | |
Activity 1: The Power of Role Models Activity 2: Develop a Small Plan | |||
Reflection stage | Review the key points of the lesson and re-emphasize the importance of willpower in enhancing the efficiency of mathematics learning and personal growth. | ||
Intervention 6—Personality dimension: challenging authority, and challenging self | Planning stage | Teachers set intervention goals. | Students discuss and negotiate to set goals. |
Finalize the objectives: Organize competitive activities and encourage class members to participate in groups. | |||
Implementation stage | Activity: Use mathematics learning as an example to discuss perspectives on “involution”. | Strategy Selection: S-E5 (Table 4) | |
Activity 1: Class Math Knowledge Quiz Activity 2: Math Modeling Simulation | |||
Reflection stage | Review the key points of the lesson and re-emphasize the importance of personality in enhancing the efficiency of mathematics learning and personal growth. |
Groups | N | Effect | Number | Percentage |
---|---|---|---|---|
Experimental group 1 | 43 | Improved | 35 | 81.39% |
Not improved (including unchanged) | 8 | 18.61% | ||
Experimental group 2 | 40 | Improved | 32 | 80.00% |
Not improved (including unchanged) | 8 | 20.00% | ||
Control group | 44 | Improved | 9 | 20.45% |
Not improved (including unchanged) | 35 | 79.55% |
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Kang, Y.; Wang, G.; Liu, L.; Liu, J.; Gao, Q. The Development and Application of an Intelligent Assessment and Strategy Implementation System for Non-Intellectual Factors in Mathematics Learning Among Senior High School Students. J. Intell. 2024, 12, 126. https://doi.org/10.3390/jintelligence12120126
Kang Y, Wang G, Liu L, Liu J, Gao Q. The Development and Application of an Intelligent Assessment and Strategy Implementation System for Non-Intellectual Factors in Mathematics Learning Among Senior High School Students. Journal of Intelligence. 2024; 12(12):126. https://doi.org/10.3390/jintelligence12120126
Chicago/Turabian StyleKang, Yueyuan, Guangming Wang, Luxuan Liu, Jing Liu, and Qianqian Gao. 2024. "The Development and Application of an Intelligent Assessment and Strategy Implementation System for Non-Intellectual Factors in Mathematics Learning Among Senior High School Students" Journal of Intelligence 12, no. 12: 126. https://doi.org/10.3390/jintelligence12120126
APA StyleKang, Y., Wang, G., Liu, L., Liu, J., & Gao, Q. (2024). The Development and Application of an Intelligent Assessment and Strategy Implementation System for Non-Intellectual Factors in Mathematics Learning Among Senior High School Students. Journal of Intelligence, 12(12), 126. https://doi.org/10.3390/jintelligence12120126