Intelligent mathematics education teaching system platform

Abstract

The invention discloses an intelligent mathematics education teaching system platform, and relates to the field of mathematics education teaching, a measuring tool is utilized to measure the length, height and angle of an irregular shape to obtain measurement data, a teacher and students log in the teaching system platform by utilizing a user interaction module, and the measurement data are manually input on the user interaction module, so that the teaching effect is improved. A comprehensive calculation module is utilized, an approximate area value BGM, a compactness evaluation value JC and a cost estimation value GS are sequentially displayed on a user interaction module, based on the cost estimation value GS, an output analysis module is utilized, and a feedback result and an adjustment strategy are output. According to the invention, rapid and accurate calculation and visual display of complex mathematical problems are realized, and meanwhile, a dynamic adjustment function is provided to adapt to different teaching scenes and student requirements, so that the innovative thinking and problem solving ability of students are favorably cultivated.

Description

Technical Field

[0001] The present invention relates to the field of mathematics education and teaching, and in particular to an intelligent mathematics education and teaching system platform. Background Art

[0002] With the rapid development of information technology, especially the continuous maturity of big data, cloud computing, and artificial intelligence technologies, the field of education is undergoing profound changes. The intelligent mathematics education and teaching system platform came into being in this context. It uses computer technology to process auxiliary teaching and aims to improve the efficiency, effectiveness and fun of mathematics teaching. The platform integrates a variety of technical means, including algorithm optimization, graphics rendering, and data analysis, to provide students with personalized learning experience and help teachers better implement teaching plans.

[0003] When dealing with complex mathematical problems, including calculating the area, perimeter and their mutual relationship of irregular figures, traditional CAI systems often suffer from slow calculation speed due to high algorithm complexity, and affect teaching effectiveness due to insufficient calculation accuracy. They lack efficient algorithm support and optimized computing engines, and are difficult to cope with large-scale data and complex computing scenarios. In addition, when displaying mathematical concepts and formulas, existing systems often use static images and texts as the main method, lack intuitiveness and interactivity, and are difficult to stimulate students' interest and initiative in learning. Traditional CAI systems often adopt a "one-size-fits-all" teaching method, which is difficult to meet the learning needs and learning styles of different students. They lack the ability to deeply mine and analyze students' learning data, and are unable to provide personalized learning suggestions and feedback. In addition, in terms of cost estimation, existing systems often only focus on material costs, but ignore other cost factors, including labor costs, time costs and the impact of shape complexity on costs. The cost estimation model is single and cannot provide comprehensive and accurate cost forecasting and analysis. Summary of the invention

[0004] The purpose of the present invention is to provide an intelligent mathematics education and teaching system platform to solve the problems raised in the above-mentioned background technology.

[0005] To achieve the above objectives, the present invention provides the following technical solutions, an intelligent mathematics education and teaching system platform, and the specific intelligent teaching steps are as follows:

[0006] Use measuring tools to measure the length, height and angle of irregular shapes to obtain measurement data;

[0007] The teacher and the students log into the teaching system platform using the user interaction module and manually input the measurement data on the user interaction module;

[0008] Using the comprehensive calculation module, the approximate area value BGM, the compactness evaluation value JC and the cost estimation value GS are sequentially displayed on the user interaction module;

[0009] The comprehensive calculation module includes an irregular shape approximate area calculation unit, an irregular shape compactness evaluation unit and an irregular shape cost estimation unit;

[0010] Based on the cost estimate GS, and using the output analysis module, output feedback results and adjustment strategies;

[0011] The equipment used by the user interaction module includes a user terminal, which includes a computer and is used for users to access the teaching system platform and conduct learning and operation;

[0012] The equipment used by the comprehensive computing module includes development equipment, which includes computer computing and processing equipment;

[0013] The equipment used by the output analysis module includes a display.

[0014] Optionally, the calculation formula of the irregular shape approximate area calculation unit is as follows:

[0015]

[0016] in:

[0017] BGM is the approximate area value;

[0018] L is the length of the bottom side;

[0019] G is the vertical bottom height value;

[0020] TXY is an adjustment factor. TXY is used to adjust the area calculation according to the specific tilt and deformation degree of the shape, and the adjustment factor TXY is set by the user in the system.

[0021] Optionally, the calculation formula of the irregular shape compactness evaluation unit is as follows:

[0022] JC=BGM / [TXY 2 *(L+M) m ];

[0023] in:

[0024] JC is the compactness evaluation value;

[0025] The result of L+M is the circumference value;

[0026] m is an exponential parameter value, which is used to adjust the weight of L+M in the compactness calculation, and to control the contribution of L+M to the compactness evaluation value JC by adjusting m.

[0027] Optionally, the calculation formula of the irregular shape cost estimation unit is as follows:

[0028] GS = JC*(GC+LC*BGM);

[0029] in:

[0030] GS is the cost estimate;

[0031] GC is the shape fixed cost value, which is determined based on market price, material type and quantity;

[0032] LC is the labor cost per unit area, which is determined based on region, skill level and working hours.

[0033] Optionally, the teaching analysis adjustment based on the cost estimation value GS output by the irregular shape cost estimation unit is as follows:

[0034] S1. Set an estimated cost value YC for analyzing and adjusting the cost estimate value GS. The calculation formula of the estimated cost value YC is as follows;

[0035] YC=CD*BGM+ZLC;

[0036] CD is the unit price of material cost, which reflects the material cost under current market conditions;

[0037] ZLC is the total labor cost value, which is estimated based on factors such as working hours, wage rate, and labor efficiency;

[0038] S2. If the cost estimate GS is greater than the estimated cost YC, the adjustment factor TXY should be reduced to reduce the material usage and construction difficulty, thereby reducing the cost estimate GS;

[0039] S3. If the cost estimate GS is less than the estimated cost YC, the adjustment factor TXY is increased to optimize the shape design to improve cost effectiveness;

[0040] S4. If the cost estimate GS is equal to the estimated cost YC, the adjustment factor TXY should remain unchanged.

[0041] Optionally, the irregular shape is specifically a shape approximating a parallelogram;

[0042] For a completely horizontal parallelogram shape, the value of the adjustment factor TXY is 1;

[0043] For irregular shapes such as tilt and deformation of parallelograms, adjustments are made according to the degree of tilt, and the value of the adjustment factor TXY is greater than 1.

[0044] Optionally, the teaching system platform utilizes the output analysis module, and the output feedback results include data of calculated feedback results and graphical area charts and proportion charts.

[0045] Compared with the prior art, the present invention has the following beneficial effects:

[0046] 1. The present invention introduces the calculation methods in the irregular shape approximate area calculation unit, the irregular shape compactness evaluation unit and the irregular shape cost estimation unit, and combines them with efficient algorithm optimization technology, so that the intelligent mathematics education and teaching system platform can realize the fast and accurate calculation of the area, perimeter and area ratio and cost of complex shapes, thereby improving the calculation accuracy and efficiency.

[0047] 2. The present invention utilizes graphics processing technology to enable the intelligent mathematics education and teaching system platform to display the area, perimeter and area ratio of tilted and deformed shapes to students in an intuitive graphical manner, while providing interactive functions so that students can observe the impact of shape changes on calculation results through dragging and zooming operations, thereby enhancing the interest and interactivity of learning.

[0048] 3. The present invention supports dynamic adjustment of calculation parameters according to user input and teaching needs to adapt to the needs of different shapes, different inclinations and different teaching scenarios. At the same time, by collecting students' learning data and behavioral habits, the platform can provide personalized teaching suggestions and feedback to help students better master mathematical knowledge.

[0049] 4. In terms of cost estimation, the intelligent mathematics education and teaching system platform of the present invention not only takes into account material costs, but also takes into account the impact of labor costs and shape complexity on costs, which is specifically reflected in the compactness evaluation value JC in the irregular shape cost estimation unit, making the cost estimation result more comprehensive and accurate, which helps to cultivate students' economic awareness and cost awareness and lay a solid foundation for their future careers. BRIEF DESCRIPTION OF THE DRAWINGS

[0050] Figure 1 This is a method flow chart of the intelligent mathematics education and teaching system platform;

[0051] Figure 2 It is a structural schematic diagram of the comprehensive calculation module of the present invention;

[0052] Figure 3 This is a flow chart of the loop feedback of this intelligent mathematics education and teaching system platform. DETAILED DESCRIPTION

[0053] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0054] Regarding this intelligent mathematics education and teaching system platform, it is different from the existing teaching system platform. When it comes to advanced mathematical applications involving specific shapes, namely, area calculation of inclined parallelograms, perimeter-to-area ratio analysis, and cost estimation, traditional CAI systems often have problems such as complex calculations, difficulty in intuitive display, and lack of dynamic adjustment capabilities. This algorithm unit uses advanced computer technology, including algorithm optimization, graphics processing, and data visualization, to achieve fast, accurate calculation and intuitive display of complex mathematical problems, while providing dynamic adjustment functions to adapt to different teaching scenarios and student needs.

[0055] For example, see Figures 1 to 3 ,This implementation provides an intelligent mathematics education and teaching system platform. The specific intelligent teaching steps are as follows:

[0056] Use measuring tools to measure the length, height and angle of irregular shapes to obtain measurement data;

[0057] The teacher and the students log into the teaching system platform using the user interaction module and manually input the measurement data on the user interaction module;

[0058] Using the comprehensive calculation module, the approximate area value BGM, the compactness evaluation value JC and the cost estimation value GS are sequentially displayed on the user interaction module;

[0059] The comprehensive calculation module includes an irregular shape approximate area calculation unit, an irregular shape compactness evaluation unit and an irregular shape cost estimation unit;

[0060] Based on the cost estimate GS, and using the output analysis module, output feedback results and adjustment strategies;

[0061] The teaching system platform uses the output analysis module, and the output feedback results include the data of the calculated feedback results and the graphical area chart and proportion chart;

[0062] The devices used in the user interaction module include user terminals, which include computers and are used by users to access the teaching system platform and conduct learning and operations;

[0063] The equipment used in the comprehensive computing module includes development equipment, which includes computer computing and processing equipment;

[0064] The equipment used by the output analysis module includes a display.

[0065] In this embodiment, the system platform can quickly provide students with answers and analysis through automated calculation and feedback mechanisms, thereby reducing the workload of teachers and improving teaching efficiency. Through intuitive graphical displays and dynamic data changes, it helps students better understand mathematical concepts and principles and enhances learning effects. The system platform will encourage students to try different input and parameter settings and observe changes in results, thereby stimulating students' innovative thinking and spirit of exploration.

[0066] In this embodiment, the system platform plays an important role in the intelligent mathematics education and teaching system platform through the mutual cooperation of the three algorithm units. Combining the three operation results of BGM, JC and GS, it not only provides the basis of mathematical calculation for the system platform, but also improves the teaching efficiency and learning effect by enhancing interactivity, realizing personalized teaching, and promoting autonomous learning. It fully reflects the advantages of the teaching system assisted by computer processing. BGM is an approximate area value. It uses the introduction of adjustment factor TXY to enable the irregular shape approximate area calculation unit to more accurately reflect the actual area of ​​the shape, rather than just a simple calculation based on its basic geometric dimensions. This is particularly important for engineering, design and manufacturing fields that require accurate area data. JC is the compactness evaluation value. This indicator is used in many fields, including urban planning, architectural design, and material science. It is mainly used to optimize shape design, improve space utilization, and reduce construction costs. GS is the cost estimate, which not only takes into account material costs, but also takes into account labor costs and the impact of shape complexity on costs, making cost estimates more comprehensive and accurate. On the basis of finding the optimal shape design solution to reduce costs, it helps to cultivate their innovative thinking and problem-solving ability. The calculation results of GS can also affect the calculations fed back to BGM and JC, making the three algorithms of this system have a high correlation and entanglement, so that the overall algorithm system can perform automatic feedback and optimization according to actual conditions to be closer to reality.

[0067] See also Figures 1 to 3 , the calculation formula of the irregular shape approximate area calculation unit is as follows:

[0068]

[0069] in:

[0070] BGM is the approximate area value;

[0071] L is the length of the bottom side;

[0072] G is the vertical bottom height value;

[0073] TXY is an adjustment factor. TXY is used to adjust the area calculation according to the specific tilt and deformation degree of the shape, and the adjustment factor TXY is set by the user in the system.

[0074] In this embodiment: the application of this algorithm unit in the intelligent mathematics education and teaching system platform greatly improves the flexibility and accuracy of irregular shape area calculation. By introducing the adjustment factor TXY, the irregular shape approximate area calculation unit can be dynamically adjusted according to the specific inclination and deformation degree of different shapes, so as to obtain an area estimation value closer to the actual value. This dynamic adjustment ability not only helps students to establish an intuitive feeling when understanding the area calculation of complex shapes, but also cultivates their logical thinking and problem-solving ability. In addition, the simplicity and easy understanding of the regular shape approximate area calculation unit also make it a powerful tool in the teaching process, which helps teachers better explain and demonstrate the concept and method of area calculation;

[0075] Specifically, in the intelligent mathematics education and teaching system platform, this algorithm allows students to intuitively see the impact of shape tilt and deformation on area calculation by adjusting the value of the adjustment factor TXY, thereby deepening their understanding of the concept of area. This dynamic demonstration helps to stimulate students' interest and curiosity in learning. Students can not only learn the algorithm of the irregular shape approximate area calculation unit itself, but also adjust parameters and observe results by themselves through the interactive interface provided by the system, thereby cultivating their practical ability and problem-solving ability. The system platform can automatically adjust the value and difficulty of the adjustment factor TXY according to the students' learning progress and understanding ability, providing each student with a personalized learning path to ensure that each student can improve at a level that suits them. The regular shape approximate area calculation unit is not only used in mathematics, but can also be combined with physics, engineering and other disciplines to explore its significance in practical applications by calculating the areas of objects of different shapes, thereby promoting students' interdisciplinary learning ability.

[0076] See also Figures 1 to 3 , the calculation formula of the irregular shape compactness evaluation unit is as follows:

[0077] JC=BGM / [TXY 2 *(L+M) m ];

[0078] in:

[0079] JC is the compactness evaluation value;

[0080] The result of L+M is the circumference value;

[0081] m is an exponential parameter value, which is used to adjust the weight of L+M in the compactness calculation, and to control the contribution of L+M to the compactness evaluation value JC by adjusting m.

[0082] In this embodiment, first, the adjustment factor TXY is used as an adjustment factor in the irregular shape approximate area calculation unit to adjust the area value according to the inclination and deformation degree of the shape to ensure the accuracy of the area calculation. In the irregular shape compactness evaluation unit, the adjustment factor TXY is introduced again to keep the approximate area value BGM and the perimeter value on the same basis for comparison when calculating the perimeter-to-area ratio, that is, the compactness evaluation value JC, so as to more accurately reflect the compactness of the shape. The compactness evaluation value JC is an indicator for measuring the complexity of the boundary of the shape under a given area. By adjusting the adjustment factor TXY, this indicator can be further refined to make it more reflective of the actual construction difficulty and cost efficiency of the shape.

[0083] This algorithm unit calculates the perimeter and area, and the compactness evaluation value JC corrected by the adjustment factor TXY provides a quantitative indicator for measuring the compactness of the shape. The application of this indicator in the intelligent mathematics education and teaching system platform helps students to deeply understand the relationship between shape characteristics and geometric quantities. By comparing the compactness evaluation values ​​JC of different shapes and the same shape in different states, students can intuitively feel the changes in shape compactness, thereby deepening their understanding of geometric concepts. At the same time, the irregular shape compactness evaluation unit also provides an important basis for subsequent cost estimation, making cost calculation more scientific and reasonable.

[0084] By comparing the compactness evaluation values ​​JC of different shapes or the same shape in different states, students can gain a deeper understanding of the relationship between shape characteristics and geometric quantities, thereby enhancing their understanding of geometric concepts.

[0085] In the process of calculating the compactness evaluation value JC, students need to use logical thinking to analyze and solve problems, which helps to cultivate their logical thinking ability and critical thinking ability;

[0086] In practical applications, understanding the compactness of shapes helps optimize design, reduce material waste and reduce costs. Through system simulation, students can learn how to adjust shape design according to actual needs to achieve the best effect.

[0087] By calculating the compactness evaluation value JC and considering its role in the irregular shape cost estimation unit, it helps students to have a preliminary understanding of the impact of shape design on cost, thereby cultivating their economic awareness and cost awareness and enhancing their economic awareness.

[0088] See also Figures 1 to 3 , the calculation formula for the irregular shape cost estimation unit is as follows:

[0089] GS = JC*(GC+LC*BGM);

[0090] in:

[0091] GS is the cost estimate;

[0092] GC is the shape fixed cost value, which is determined based on market price, material type and quantity;

[0093] LC is the labor cost per unit area, which is determined based on region, skill level and working hours.

[0094] In this embodiment, the irregular shape cost estimation unit of this algorithm uses the compactness evaluation value JC of the perimeter to area ratio as the cost adjustment factor, and combines the shape fixed cost value GC and the labor cost value LC required per unit area to estimate the total cost of constructing and producing a specific shape. The application of the irregular shape cost estimation unit in the intelligent mathematics education and teaching system platform not only helps students master the basic methods of cost estimation, but also cultivates their economic awareness and cost awareness. By adjusting the value of the adjustment factor TXY, students can observe the changes in the cost estimation results and understand the impact of different factors on the cost. In addition, the irregular shape cost estimation unit also reflects the application value of mathematics in practical problems and stimulates students' interest and motivation in learning mathematics.

[0095] In the irregular shape cost estimation unit, the compactness evaluation value JC, as a cost adjustment factor, has a significant impact on the cost estimate value GS. Therefore, by adjusting the adjustment factor TXY to optimize the calculation of compactness, it can indirectly promote cost optimization and reduce the total cost of building and producing shapes. Based on a more reasonable compactness evaluation, the irregular shape cost estimation unit can provide more accurate cost estimates, which helps decision makers to more accurately evaluate the economic feasibility of the project and formulate more reasonable budget and cost control strategies.

[0096] It is worth mentioning that for the intelligent mathematics education and teaching system platform, students can learn how to estimate costs by comprehensively considering various factors through the irregular shape cost estimation unit, including material cost, labor cost and the impact of shape complexity on cost. This helps them form a comprehensive cost concept and achieve the purpose of comprehensive cost education. By simulating the cost estimation process under different shapes and cost conditions, students can learn how to make reasonable economic decisions based on economic feedback and demand changes, and achieve the purpose of cultivating students' economic decision-making ability. The irregular shape cost estimation unit is not only used in mathematics, but can also be combined with economics, management and other disciplines. Through cost estimation, it can explore the economic decision-making problems of enterprises in the production process and achieve interdisciplinary application effects. In addition, students can perform simulated cost estimation operations through the interactive interface provided by the system, thereby cultivating their practical ability and application ability and enhancing their practical ability.

[0097] See also Figures 1 to 3, the teaching analysis adjustment of the cost estimation value GS based on the output of the irregular shape cost estimation unit is as follows:

[0098] S1. Set an estimated cost value YC for analyzing and adjusting the cost estimate value GS. The calculation formula of the estimated cost value YC is as follows;

[0099] YC=CD*BGM+ZLC;

[0100] CD is the unit price of material cost, which reflects the material cost under current market conditions;

[0101] ZLC is the total labor cost value, which is estimated based on factors such as working hours, wage rate, and labor efficiency;

[0102] S2. If the cost estimate GS is greater than the estimated cost YC, the adjustment factor TXY should be reduced to reduce the material usage and construction difficulty, thereby reducing the cost estimate GS;

[0103] S3. If the cost estimate GS is less than the estimated cost YC, the adjustment factor TXY is increased to optimize the shape design to improve cost effectiveness;

[0104] S4. If the cost estimate GS is equal to the estimated cost YC, the adjustment factor TXY should remain unchanged.

[0105] In this embodiment, this algorithm unit is based on a circular influence mechanism formed between the irregular shape approximate area calculation unit, the irregular shape compactness evaluation unit and the irregular shape cost estimation unit. The cost estimation value GS will adjust the value of the adjustment factor TXY according to economic feedback and user needs, thereby affecting the approximate area value BGM in the irregular shape approximate area calculation unit, thereby affecting the compactness evaluation value JC in the irregular shape compactness evaluation unit, and finally affecting the cost estimation value GS again. After that, the ratio of the cost estimation value GS to the estimated cost value YC will be analyzed and adjusted under different ratio conditions. This circular influence mechanism enables the system to dynamically adjust parameters according to actual conditions to achieve the optimal balance between cost and performance.

[0106] Specifically, in this example, in the intelligent mathematics education and teaching system platform, the cyclic effect of the irregular shape cost estimation unit on the regular shape approximate area calculation unit is mainly reflected in the optimization of shape design by cost feedback. After the total cost of building or producing a specific shape is estimated by the irregular shape cost estimation unit, if the cost is too high, the system will adjust the value of the adjustment factor TXY according to the economic feedback suggestion. This adjustment will directly affect the area calculation result in the regular shape approximate area calculation unit, and then change the compactness of the shape and the amount of material used. Through this cyclic effect, the system can help students understand the relationship between cost optimization and shape design, and cultivate their innovative thinking and problem-solving ability. At the same time, this cyclic effect also makes the intelligent mathematics education and teaching system platform closer to actual application scenarios, and improves the pertinence and effectiveness of teaching.

[0107] In summary, in the specific implementation process, when the cost estimation result is too high, the system can adjust the value of the adjustment factor TXY according to the economic feedback suggestions to reduce unnecessary material use and optimize the shape design. This dynamic adjustment process helps students understand the relationship between cost and design, and learn how to make trade-offs in practice to achieve the effect of dynamic adjustment and optimization.

[0108] The feedback mechanism within the system enables the irregular shape cost estimation unit to have a cyclical impact on the regular shape approximate area calculation unit, which enables students to more intuitively see how their design decisions affect the cost estimation results. This instant feedback helps them to adjust their design ideas and optimize their design solutions in a timely manner, thereby strengthening the feedback mechanism.

[0109] In the process of the cycle, students need to constantly try, adjust and optimize the design plan to achieve the best effect. This iterative thinking is of great significance for solving complex problems and innovative design, and can effectively cultivate students' iterative thinking;

[0110] By participating in this cyclical process, students can comprehensively apply mathematical knowledge, economic knowledge and design skills to solve problems, thereby improving their comprehensive abilities and qualities.

[0111] For example 2, please refer to Figures 1 to 3 , the irregular shape is specifically a shape approximating a parallelogram;

[0112] For a completely horizontal parallelogram shape, the value of the adjustment factor TXY is 1;

[0113] For irregular shapes such as tilt and deformation of parallelograms, adjustments are made according to the degree of tilt, and the value of the adjustment factor TXY is greater than 1.

[0114] In this embodiment, shape approximation requires that each element has a certain similarity in shape. This similarity can be similarity in overall outline or similarity in local features. In this example, in other words, it is an irregular shape that is similar in angle to a parallelogram.

[0115] As for the steps for setting the adjustment range of the adjustment factor TXY, firstly, collect a series of actual area data of shapes at different tilt angles through experiments and simulations, and then calculate the difference between the actual area and the area of ​​a simple rectangle for each tilt angle. Then, use statistical methods, including regression analysis, to fit the mathematical relationship model between the adjustment factor TXY and the tilt angle. This model can be linear, nonlinear, or based on a specific function form. Finally, based on the fitted model, the predicted value of the adjustment factor TXY at different tilt angles can be calculated, and a reasonable confidence interval can be set as the value range of the adjustment factor TXY.

[0116] When the value of the adjustment factor TXY is greater than 1 and is applicable to the irregular shape approximate area calculation unit for calculation, the irregular shape must be based on the parallelogram shape, with slight changes in angle and shape. However, if the irregular shape produces a large angle and significant changes in shape based on the parallelogram shape, the irregular shape deviates from the concept of shape approximation. The specific degree of the significant change angle also depends on the specific situation of the shape and the analysis of experimental data. Generally speaking, if the change in the inclination angle leads to a significant change in the properties of the shape, that is, the area and perimeter, then the angle change can be considered significant. However, due to the different properties of different shapes and materials, there is no fixed degree that can be universally applied.

[0117] Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions and variations can be made to the embodiments without departing from the principles and spirit of the present invention, and the scope of the present invention is defined by the appended claims and their equivalents.

Claims

1. Intelligent mathematics education and teaching system platform, characterized by: The specific steps of intelligent teaching are as follows: Use measuring tools to measure the length, height and angle of irregular shapes to obtain measurement data; The teacher and the students log into the teaching system platform using the user interaction module and manually input the measurement data on the user interaction module; Using the comprehensive calculation module, the approximate area value BGM, the compactness evaluation value JC and the cost estimation value GS are sequentially displayed on the user interaction module; The comprehensive calculation module includes an irregular shape approximate area calculation unit, an irregular shape compactness evaluation unit and an irregular shape cost estimation unit; Based on the cost estimate GS and using the output analysis module, feedback results and adjustment strategies are output.

2. The intelligent mathematics education and teaching system platform according to claim 1 is characterized in that: The equipment used by the user interaction module includes a user terminal, which includes a computer and is used for users to access the teaching system platform and conduct learning and operation; The equipment used by the comprehensive computing module includes development equipment, which includes computer computing and processing equipment; The equipment used by the output analysis module includes a display.

3. The intelligent mathematics education and teaching system platform according to claim 2 is characterized by: The calculation formula of the irregular shape approximate area calculation unit is as follows: in: BGM is the approximate area value; L is the length of the bottom side; G is the vertical bottom height value; TXY is the adjustment factor, which is used to adjust the area calculation according to the specific tilt and deformation degree of the shape, and the adjustment factor TXY is set by the user in the system; BGM is an approximate area value. It uses the input adjustment factor TXY to dynamically adjust the irregular shape approximate area calculation unit according to the specific tilt and deformation degree of different shapes, and obtain an area estimate that is closer to the actual value. This helps students intuitively see the impact of shape tilt and deformation on area calculation and deepen their understanding of the concept of area.

4. The intelligent mathematics education and teaching system platform according to claim 3 is characterized by: The calculation formula of the irregular shape compactness evaluation unit is as follows: JC=BGM / [TXY 2 *(L+M) m ]; in: JC is the compactness evaluation value; The result of L+M is the circumference value; m is the index parameter value, which is used to adjust the weight of L+M in the compactness calculation and control the contribution of L+M to the compactness evaluation value JC by adjusting m; The adjustment factor TXY is used in the irregular shape approximate area calculation unit to adjust the area value according to the inclination and deformation degree of the shape to ensure the accuracy of the area calculation. At the same time, in the irregular shape compactness evaluation unit, the adjustment factor TXY is input again to keep the approximate area value BGM and the perimeter value L+M on the same basis for comparison, so as to accurately reflect the compactness of the shape; The compactness evaluation value JC is an indicator to measure the complexity of the boundary of a shape under a given area. The adjustment factor TXY is used to further refine this indicator.

5. The intelligent mathematics education and teaching system platform according to claim 4 is characterized by: The calculation formula of the irregular shape cost estimation unit is as follows: GS = JC*(GC+LC*BGM); in: GS is the cost estimate; GC is the shape fixed cost value; LC is the labor cost per unit area; The irregular shape cost estimation unit uses the compactness evaluation value JC of the perimeter-to-area ratio as the cost adjustment factor, combined with the shape fixed cost value GC and the labor cost value LC per unit area, to estimate the total cost of constructing and producing a specific shape. This helps students master the cost estimation method, cultivate students' economic awareness and cost awareness, and by adjusting the value of the adjustment factor TXY, helps students observe changes in cost estimation results and understand the impact of different factors on costs.

6. The intelligent mathematics education and teaching system platform according to claim 5 is characterized by: The teaching analysis adjustment based on the cost estimation value GS output by the irregular shape cost estimation unit is as follows: S1. Set an estimated cost value YC for analyzing and adjusting the cost estimate value GS. The calculation formula of the estimated cost value YC is as follows; YC=CD*BGM+ZLC; CD is the unit price of material cost; ZLC is the total labor cost value; S2. If the cost estimate GS is greater than the estimated cost YC, the adjustment factor TXY should be reduced to reduce the material usage and construction difficulty, thereby reducing the cost estimate GS; S3. If the cost estimate GS is less than the estimated cost YC, the adjustment factor TXY is increased to optimize the shape design to improve cost effectiveness; S4. If the cost estimate GS is equal to the estimated cost YC, the adjustment factor TXY should remain unchanged; Based on the irregular shape approximate area calculation unit, the irregular shape compactness evaluation unit and the irregular shape cost estimation unit, a circular influence mechanism is formed. The cost estimation value GS adjusts the value of the adjustment factor TXY according to economic feedback and user needs, which affects the approximate area value BGM in the irregular shape approximate area calculation unit, which in turn affects the compactness evaluation value JC in the irregular shape compactness evaluation unit, and finally affects the cost estimation value GS again. Afterwards, the ratio of the cost estimate GS to the estimated cost value YC is analyzed and adjusted under different ratio conditions. This cyclic influence mechanism enables the system platform to dynamically adjust parameters according to actual conditions to achieve the optimal balance between cost and performance.

7. The intelligent mathematics education and teaching system platform according to claim 6 is characterized by: The irregular shape is specifically a shape approximating a parallelogram; For a completely horizontal parallelogram shape, the value of the adjustment factor TXY is 1; For irregular shapes such as tilt and deformation of parallelograms, adjustments are made according to the degree of tilt, and the value of the adjustment factor TXY is greater than 1.

8. The intelligent mathematics education and teaching system platform according to claim 1 is characterized by: The teaching system platform utilizes the output analysis module, and the feedback results outputted include data of the calculated feedback results and graphical area charts and proportion charts.

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