BÖLMATİK is a computer-assisted educational material that visualizes divisibility concepts.

Abstract

This invention relates to a gamified educational material developed to teach mathematical divisibility rules. The invention has a clock-shaped main body (1a) with numbers from 1 to 12 and rotatable geometric shapes representing these numbers. The geometric shapes are arranged on the main body (1a) in a repeating pattern of triangles, squares, and circles. The user can perform operations by moving or aligning these shapes to check the divisibility rules of a selected number. Preferably made of wood, this educational material supports tactile and visual perception, enabling students to learn abstract mathematical concepts more easily, enjoyably, and permanently. It also aims to increase student motivation by making the learning process interactive.

Description

1 TARIFF BÖLMATİK is a computer program that visualizes divisibility concepts. SUPPORTED EDUCATIONAL MATERIAL Subject of the Invention This invention provides a concrete educational material demonstrating the rules of mathematical divisibility for 5 years. It relates to a device designed to facilitate teaching. The invention is a clock-shaped main unit. It has a body with numbers from 1 to 12 arranged on it, and the positions of these numbers It includes rotatable geometric shapes. The geometric shapes are triangles, squares, and They are arranged in a repeating pattern in the form of a circle. The user selects a number To check the divisibility rules, move or align these shapes. 10 It can perform tasks. Made from wood, a natural material, this tool allows students to engage tactilely. and by stimulating their visual perception, it makes learning mathematical concepts easier. It aims to make it fun, lasting, and effective. State of the Art 15 In education, various methods and tools are used for teaching mathematical concepts. It is used, especially in teaching abstract concepts such as divisibility rules. This causes students to have difficulty internalizing these concepts in their mental processes. Traditional methods generally involve written exercises, tables, and theoretical materials. It consists of explanations. However, these methods are insufficient to attract students' attention. 20 This can lead to stagnation and make the learning process monotonous. In teaching methods based on abstract explanations, students will find it easier to understand. It has been observed that it needs a concrete context, especially in primary and secondary school. The use of tangible materials to support learning for students at level 25 This allows concepts to be learned more quickly and permanently. Together, among the known solutions, the mathematical concepts of concrete materials There is a lack of an innovative approach that integrates these elements. 2 Current techniques include efforts to support education with gamification and audiovisual tools. Although seen in some cases, most of these methods are applied in a digital environment. Wood No solution has been offered to attract students' attention using natural and tactile materials, such as those mentioned. and therefore will enable students to understand the concept of divisibility in a concrete way. The need to develop a physical tool arose. 5 In technology, different educational materials are available for teaching the four basic arithmetic operations. These Examples of such materials include utility model patents TR 2011 / 06296 and TR 2013 / 11138. Documents can be provided. These documents, in turn, will teach the four basic arithmetic operations. a learning set that includes educational materials and makes it easy to teach numbers and the four basic arithmetic operations. This is explained. When these inventions are examined, they focus particularly on the division operation and 10 There is no detailed material for teaching divisibility rules. It is seen that teaching the four basic arithmetic operations, including division, is included in the technique. The materials are more complex systems, and the rules of divisibility... It does not offer a structure that will support its assimilation. Therefore, a 15 focused on teaching mathematical concepts, especially divisibility rules The need for further development of the material continues. The invention that is the subject of this application relates to meeting the aforementioned need, teaching process that enables the teaching of mathematical divisibility concepts It facilitates the development of a material that will make things easier. This invention allows students to learn mathematical divisibility concepts in a fun, interactive, and 20-minute format. It is designed to enable them to learn in a tangible way, especially using materials like wood. By using natural and tactile materials, the materials will capture students' attention and help them understand concepts more effectively. This will allow them to learn in a lasting way and will make the teaching process more effective by gamifying it. It offers training materials that will make learning more motivating. Detailed Description of the Invention The invention offers an alternative to abstract and theoretical methods in teaching mathematical divisibility concepts. Alternatively, it offers a concrete, interactive, and gamified approach to education. The wooden material used as a teaching material contributes to the learning process and It also increases student motivation. 30 The invention consists of a circular main body (1a) designed in the shape of a clock, on which a rotating mechanism can be used. It consists of wooden number pieces. The wooden number pieces have different geometric shapes. 3 (Circle, triangle, quadrilateral, rectangle) are designed and have specific numbers placed on them. It receives. The main body (1a) contains the control numbers from 1 to 11 in sequence. It includes marking. Also this main body (1a) contains the numbers from 1 to 12. It contains them in a clockwise order. While the sign for the number 12 (3a) remains fixed, Other signs can move onto the number segments (4a), the number segments (4a) are only 5 It is positioned on the face. Designing numbers in different geometric shapes (circle, triangle, square, rectangle) Its aim is to make the learning process more effective and engaging. Geometric shapes, By stimulating students' tactile and visual perceptions, it makes learning a multisensory experience. It transforms into an experience. The variety of shapes, the conceptual connections with numbers 10 while strengthening learning, it transforms mathematics from an abstract subject into a fun and gamified learning experience. This transforms it into an experience. Furthermore, these differences make it easier for students to recognize their mistakes. This allows them to interact and receive feedback during the learning process. The shapes... Its cognitive impact and the visual element it adds to education ensure that mathematical concepts are learned in a lasting and effective way. It supports learning in this way. 15 In its broadest sense, the invention is a mathematical training developed for the concepts of divisibility. It relates to the material and has control numbers from 1 to 11 around it. numbered signs (2a) and an additional sign for the number 12 (3a) a circular main body (1a) containing numerical values ​​and the main body (1a) 20 numbers from 1 to 11, positioned on a surface, in the shapes of triangles, circles, and rectangles. around itself containing numbered signs (2a) representing control numbers It contains rotatable number segments (4a) and these number segments are control numbers a structure that can be aligned, rotated, and used to display divisibility results It includes. In this configuration of the invention, the number segments (4a) control 25 from 1 to 11 on a single face. It contains numbered signs (2a) representing the numbers. In this way, by reversing the number segments (4a) that show the numbers that a selected number cannot be divided by It is ensured that it is shut down. In one configuration of the invention, the main body (1a) and / or rotatable number segments (4a), It contains wooden material. The additional 30 corresponding to the number 12 on the main body of the invention. The symbol (3a) is fixed and not rotatable like the other number parts (4a). Regarding the invention The number 12 was included in the educational material to resemble a clock. Another In other words, it is designed as a question of surprising divisibility, fixed in this way. 4 The educational material subject to the invention consists of a main body (1a) and this main body (1a) It contains number segments (4a). Detailed information about this is as follows. 1. Main Body (1a) • It is a circular structure made of wood. • It is surrounded by control numbers numbered sequentially from 1 to 11. 5 • The number 12 has been fixed as a surprise divisibility question. 2. Number Fragments (4a) • They are designed in the shape of a circle, triangle, square, or rectangle. • Each number piece (4a) has a number printed on it. • Number pieces (4a) can be rotated by the user and attached to the main body (1a) 10 It has been placed. In one configuration of the invention, the educational material related to the invention is intended for use together. There are wooden figures that contain one, two, or more digits. The working method of the educational material that is the subject of the invention is basically the following process: It includes the following steps. 15 1. The user chooses one or more of the wooden shapes with numbers on them. chooses. 2. The divisibility of the selected number with the control numbers from 1 to 11, respectively. is tested. When a number is selected, the divisibility rule is considered for each control number. The process is carried out by keeping [the object in question]. 20 3. If the selected number is exactly divisible by a control number, then that number... in a straight position with the numbered mark (2a) on part (4a) visible. If it is not divisible, the empty back face of the number segment (4a) is left so that it is visible. It is rotated. 4. When all control counts are completed, the parts remaining in the flat position are 25. It visually illustrates which control numbers the number is divisible by. In short, the invention is a mathematical educational material relating to the concept of divisibility. Its feature is a circular display containing the numbers 1 through 12 arranged in a clockwise pattern. main body (1a), a fixed additional mark (3a) representing the number 12 on the main body (1a), positioned on the main body (1a) and representing the control numbers from 1 to 11 5 numbered markings (2a) on one side, which can be rotated around itself. number parts (4a) with structure and at least enough to enable the main body (1a) to stand upright It includes a carrier element (5a). In one configuration of the invention, these number parts (4a) In order to test the divisibility of a selected number by the control numbers, the relevant control can be rotated by aligning with the number and the divisibility results can be visually represented. It contains a structure that enables this. 10 Furthermore, the working method of the material that is the subject of the invention is also covered by protection. Accordingly, The working method involves the user applying the divisibility rule to one or two elements. or selecting one or more wooden shapes containing a number with more than one digit, or the user can specify any number they want to test the divisibility of. Permission is granted for the selected number to be placed on the main body (1a) and on the number parts (4a) 15 Testing the divisibility of the given numbers with control numbers from 1 to 11 respectively. During this test, the divisibility rule is applied to each control number, selected If a number is exactly divisible by a control number, then the relevant control number so that the numbered mark (2a) on the number segment (4a) containing it is visible positioned in a flat position and the selected number is exactly 20 to a control number. If it cannot be divided, the back of the number segment containing the relevant control number (4a) is empty. The process involves rotating the surface so that it is visible. A preferred application of the invention is a computer-assisted numerical divisibility system. and its characteristic is all the processes described in the working method of the material relating to the invention. with computer software that performs the steps, the user enters the number himself, 25 a graphical user interface (GUI) that allows it to specify, the divisibility rule in accordance with the procedural steps defined in the working method an algorithm that implements, an output module that delivers test results to the user in visual, textual, or graphical format a data management system that allows for the recording and analysis of test results 30 system, It is characterized by its inclusion. 6 According to another preferred configuration of the invention, an educational material works. It is a mobile device application that performs this method, and its feature is... (a) Touch screen interface that allows the user to enter or select a number, (b) The steps defined in the method based on the number received and the number of checks a processing module that performs, 5 (c) Displaying the results of the divisibility test in color, animation, or graphics on the mobile device screen. an output module that visualizes it, (d) Recording and analyzing test results and informing the user about their progress. a feedback system, (e) A tutorial module 10 that guides the user to learn the divisibility rules. It is characterized by its inclusion. The advantages of the invention that is the subject of the application can be listed as follows: Tactile and aesthetic design: Wooden material attracts students' attention and facilitates learning. It adds a physical dimension to the process. Concrete learning: Visual and physical expression of divisibility rules. 15 This allows students to understand the concepts better. Fun and interactive: Including elements of play and exploration, it motivates the learning process. It makes it so. Suitable for different age groups: For primary and secondary school students. Available. 20 Descriptions of the Figures: Figure 1: An image of the educational material related to the invention. Explanations of the Reference Numbers in the Figures: 1a. Main body 25 2a. Numbered markings 3a. Additional sign 4a. Number pieces. 7 5a. Lifting element Symbols representing control numbers from 1 to 12. 10 20

Claims

8 REQUESTS 1. This is a mathematical educational material related to the concept of divisibility, and its characteristic feature is: A circular master containing the numbers 1 through 12 arranged in a clockwise sequence. body (1a), a fixed additional mark (3a) representing the number 12 on the main body (1a), 5 positioned on the main body (1a) and representing the control numbers from 1 to 11 containing the numbered markings (2a) on a single face around itself. number parts (4a) with rotatable structure and the main body (1a) standing upright It must contain at least one support element (5a) and Test the divisibility of these number segments (4a) by the control numbers of a selected number. 10 For this purpose, it can be rotated by aligning it with the relevant control number and its divisibility It is characterized by containing a structure that allows for the visual representation of its results. It is done.

2. It is a material according to claim 1, and its characteristic is that the main body (1a) is wood. 15 3. A material according to claim 1 or 2, whose characteristic is that the number pieces (4a) are made of wood. It is the fact that.

4. A material according to any of claims 1 to 3, whose characteristic is; rotatable number 20 The parts (4a) of the main body are in a repeating pattern of triangles, quadrangles and circles. (1a) is that it is placed on it.

5. A material according to any of claims 1 to 4, whose characteristic is the divisibility rule. To select the numbers to be applied, use 25 with one, two or more digits. It includes multiple wooden figures that contain a number.

6. The method of working with an educational material according to any of claims 1 to 5, feature; a. by the user, one, two or more elements to which the divisibility rule will be applied. the selection of one or more wooden shapes containing a multi-digit number or The user can enter any number they wish to test the divisibility of. allowing him to determine it, 9 b. The selected number is located on the number segments (4a) on the main body (1a) from 1. This test involves successively testing the divisibility of the control numbers up to 11. Applying the divisibility rule for each check digit during this process, c. If the selected number is exactly divisible by a control number, the relevant 5 on the numbered mark on the number segment (4a) containing the control number (2a) positioned in a flat position so that it is visible, d. If the selected number cannot be divided exactly by a control number, the relevant The blank back surface of the number segment (4a) containing the control number will be visible rotated in this way It is characterized by including procedural steps. 10 7. A computer-assisted numerical divisibility system, whose characteristic is: with computer software that performs all the steps defined in request 6 a graphical user interface (GUI) that allows the user to specify the number themselves, The divisibility rule is calculated according to the steps defined in the method in request 6. an algorithm that implements, an output module that delivers test results to the user in visual, textual, or graphical format a data management system that allows test results to be recorded and analyzed system, It is characterized by its inclusion. 20 8. A mobile device that implements the method of working with an educational material according to claim 6. It is an application and its feature is... (a) Touch screen interface that allows the user to enter or select a number, (b) Based on the number obtained and the number of checks, the steps defined in the method are 25 a processing module that performs (c) Displaying the results of the divisibility test in color, animation, or graphics on the mobile device screen. an output module that visualizes it, (d) Recording and analyzing test results and informing the user about their progress. a feedback system, 30 (e) A tutorial module to guide the user in learning the divisibility rules. It is characterized by its inclusion.

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