594603 玖、發明說明（1 ) 【發明所屬之技術領域】 本發明是有關於一種可以啟蒙學子邏輯圖像與心算概念 的心算教具。 【先前技術】 5 現有心算才藝的教育方式，缺乏生動有趣的啟發性啟 蒙教具，大都是以單純數字的加減乘除來訓練學子的邏輯 運算能力與速度，容易流於枯燥乏味，使得很多學子對於 數字產生不了興趣，或是本來極有興趣，但學一陣子之後 就放棄，殊為可惜。 10 常理上，單純的運算免不了枯燥乏味，所以，申請人 認為，將數字的邏輯運算搭配其他可供學子育樂的事物， 必定能在娛樂的同時精進學習效果。 【發明内容】 因此，本發明之目的，即在提供一種心算教具，用以 15 啟迪學子對數字的興趣，讓他們知道數字也能趣味性的配 合各種圖像學習。 於是，本發明之心算教具，包含有複數個棋子，及一 棋盤，其中： 該棋盤具有四十二個落棋點，及十四條連結線，且該 20 棋盤先以環狀型態等份配置七個落棋點，每一落棋點分別 與其他不與其相鄰的落棋點連結形成四條連結線，而該等 連結線會交接形成有三十五個交會點，進而界定出另外三 十五個落棋點。 5 594603 玖、發明說明（2 ) 【實施方式】 本發明之前述以及其他技術内容、特點與優點，在以 下配合參考圖式之一較佳實施例的詳細說明中，將可清楚 的明白。 5 如第一、二圖所示，本發明之心算教具的一較佳實施 例，該心算教具是包含有複數個棋子1，及一棋盤2。 該等棋子1共有四十二個，其底面11可配置一至四 十二等不同數字顯示，而其他可觀視面，如底面11、頂 面12、或環面13，可由個別棋子1上數字的單雙數區分 10 為兩類，並配置成二種不同的顏色。 該棋盤2是先以環狀型態等份配置七個落棋點 201〜207，每一落棋點201〜207分別與其他不與其相鄰的 落棋點201〜207連結形成四條連結線301〜314，而該等連 結線301〜314會交接形成有三十五個交會點，進而界定出 15 另外三十五個落棋點208〜242。 該棋盤2以環狀配置於最外圍的七個落棋點201〜207 依序視為第一到第七落棋點201〜207，第一落棋點201分 別與第三、四、五、六落棋點203〜206連結成一線，視為 第一到第四連結線301〜304，第二落棋點202分別與第四 20 、五、六、七落棋點204〜207連結成一線視為第五至第八 連結線305〜308，第三落棋點203分別與第五、六、七落 棋點205〜207連結成一線視為第九至第十一連結線 309〜311，第四落棋點204分別與第六、七落棋點206、 6 594603 玖、發明說明（3 )594603 发明. Description of the invention (1) [Technical field to which the invention belongs] The present invention relates to a mental arithmetic teaching aid that can enlighten students with logical images and mental arithmetic concepts. [Previous technology] 5 The existing education methods of mental arithmetic talents lack vivid and interesting enlightenment teaching aids. Most of them use simple numbers to add, subtract, multiply, and divide to train students' logical operation ability and speed. It is easy to be tedious, which makes many students for numbers. No interest or interest, but it's a pity to give up after learning for a while. 10 In general, simple calculations are tedious. Therefore, the applicant believes that the logical operation of numbers with other things that can be used for students' entertainment will definitely improve the learning effect while being entertained. [Summary of the Invention] Therefore, the object of the present invention is to provide a mental arithmetic teaching aid for enlightening students' interest in numbers, so that they can know that numbers can also be interestingly combined with various image learning. Therefore, the mental arithmetic teaching aid of the present invention includes a plurality of chess pieces and a chessboard, wherein: the chessboard has forty-two checkpoints and fourteen connecting lines, and the 20 chessboards are first divided into equal parts in a ring shape. Configure seven check points, and each check point is connected to other check points that are not adjacent to each other to form four connecting lines, and these connecting lines will intersect to form thirty-five intersection points, thereby defining another three Fifteen checkers. 5 594603 发明 Description of the invention (2) [Embodiment] The foregoing and other technical contents, features, and advantages of the present invention will be clearly understood in the following detailed description of a preferred embodiment with reference to the accompanying drawings. 5 As shown in the first and second figures, a preferred embodiment of the mental arithmetic teaching aid of the present invention includes a plurality of chess pieces 1 and a chess board 2. There are a total of forty-two pieces of this chess piece 1, and the bottom surface 11 can be configured with different numbers such as one to forty-two, and other visible surfaces, such as the bottom surface 11, the top surface 12, or the torus 13, can be numbered by individual pieces 1. The odd and even numbers distinguish 10 into two categories and are arranged in two different colors. The checkerboard 2 is configured by arranging seven checker points 201 to 207 in equal portions. Each checker point 201 to 207 is connected to other checker points 201 to 207 which are not adjacent to each other to form four connecting lines 301. ~ 314, and these connecting lines 301 ~ 314 will intersect to form thirty-five intersection points, which further defines 15 and thirty-five checker points 208-242. The chessboard 2 is arranged in a ring shape at the outermost seven checker points 201 to 207, and is sequentially regarded as the first to seventh checker points 201 to 207. The first checker point 201 and the third, fourth, fifth, Six checker points 203 ~ 206 are connected in a line, and are regarded as the first to fourth link lines 301 ~ 304. The second checker point 202 and the fourth 20th, fifth, sixth, and seventh checker points 204 ~ 207 are connected in a line. It is regarded as the fifth to eighth connecting lines 305 to 308, and the third checker point 203 is connected to the fifth, sixth, and seventh checker points 205 to 207, respectively. It is regarded as the ninth to eleventh connection lines 309 to 311. The fourth checker point 204 and the sixth and seventh checker points 206 and 6 594603, respectively, description of the invention (3)
207連結成一線視為第十二、三連結線312、313，第五落 棋點205與第七落棋點207連結成一線視為第十四連結線 314，第一、四、五、八、九、十二、十四連結線301、 304、305、308、309、312、314會各別相交接形成七個 5 交點，該等交點視為第八到第十四落棋點208〜214，且上 述的第一、四、五、八、九、十二連結線301、3 04、3 05 、308、309、312、314更會與其他的連結線302、303、 306、307、310、311、313交會，而所交會的交點視為第 十五至二十八落棋點215〜228，另外，上述的第二連結線 10 302分別再與第七、十連接線307、310的交會點視為第207 is connected into a line as the twelfth and third connection lines 312, 313, and the fifth checker point 205 and the seventh checker point 207 are connected as a fourteenth connection line 314. The first, fourth, fifth, and eighth The nine, twelve, and fourteen connecting lines 301, 304, 305, 308, 309, 312, and 314 will each intersect to form seven 5 intersections. These intersections are regarded as the eighth to fourteenth chess points 208 ~ 214, and the first, fourth, fifth, eighth, ninth, and twelve connection lines 301, 3 04, 3 05, 308, 309, 312, and 314 will be connected with other connection lines 302, 303, 306, 307, 310, 311, and 313 meet, and the intersections are considered as the fifteenth to twenty-eight checkers 215 to 228. In addition, the second connection line 10 302 and the seventh and ten connection lines 307 and 310 are respectively The meeting point of
二十九、三十落棋點229、230，該第三連結線303分別 再與第十、十一連接線310、311的交會點視為第三十一 、三十二落棋點231、232，該第六連結線306分別再與 第十一、十三連接線311、313的交會點視為第三十三、 15 三十四落棋點233、234，該第七連結線307再與第十三 連接線313的交會點視為第三十五落棋點235，而第二、 六、七、十、十一、十三連結線302、306、307、310、 311、313會各別相交形成有最内環的七個交會點，視為 第三十六至四十二落棋點236〜242。 20 如第三至八圖所示，該第一到第七落棋點201〜207界 定出第一落棋圈10，第八到第十四落棋點208〜214界定 出第二落棋圈20,第十五、十七、十九、二十一、二十 三、二十五、二十七落棋點215、217、219、221、223、 7 594603 玖、發明說明（5 ) 本發明使用於初階訓練時，先備妥四十二個棋子1， 並且均分到二個棋手上，且每一棋手所持的棋子1有不同 樣式的區分。然後，如第十二圖所示，且以下有述及到落 棋點201〜242、連結線301〜314、落棋圈10〜60或任一指 5 標圖像者配合參閱第二至十一圖，首先，二位棋手分別以 先後方式放置棋子1到棋盤2的落棋點201〜242上，當其 中一棋手的棋子1達到放置於連結線301〜314、任一落棋 圈10〜60或是任一指標圖像為六個攻據點時是為勝方，如 此，就能藉由直線與幾何圖形的概念傳達，讓學習者迅速 10 了解到邏輯圖像的交叉、重疊、轉化、多變的趣味性，進 而增進邏輯運算性的概念。 其次，當初學者熟習上述的初階訓練之後，即能以棋 子1上的數字配合棋盤2的連結線、任一落棋圈10〜60或 是任一指標圖像作數字運算組合的訓練。 15 即，如第十三圖所示，且以下有述及到落棋點 201〜242、連結線301〜314、落棋圈10〜60、或是任一指標 圖像者配合參閱第二至十一圖，首先，將各個棋子1的數 字面朝下蓋住，然後該等棋子1調勻之後對應各該落棋點 201〜242放置，再由二位或二位以上的棋手先後開啟棋盤 20 2上任一棋子1的數目，當其中一棋手將所掀開的數目在 棋盤2的連結線301〜314、任一落棋圈10〜60或是指標圖 像中的攻據點數字總合為一百者是為勝方。 再者，上述二種使用方式皆可使初習者能很快的了解 594603 玖、發明說明（6 ) 幾何邏輯圖像與數字的奥妙，接下來就能駕輕就熟地進行 本發明較為高階的使用方式，即如第十四圖所示，且以下 有述及到落棋點201〜242、連結線301〜314、落棋圈 10〜60或指標圖像者配合參閱第二至十一圖，首先，以單 5 數及雙數區分棋子1並分配到二個棋手上，而二個棋手分 別再以先後方式放置一棋子1到棋盤2的落棋點201〜242 上，當其中一棋手將所設置的棋子1數目在棋盤2的連結 線301〜314、任一落棋圈10〜60或任一指標圖像上達到六 個攻據點且總合為一百者是為勝方；如此，不但能由幾何 10 圖形讓棋手了解到數字運算搭配形狀的心算、邏輯概念， 同時還能達到寓教於樂的使用效果。 上述以數字配合棋盤2的連結線301〜314、任一落棋 圈10〜60或任一指標圖像以六個攻據點達到總合為一百是 有可能在四十二個棋子1下完之後都未達成，故於使用上 15 更能配合第一種使用方式進行，即，當雙方棋手在總合數 都未達成目標時，能以其中一先達成棋子1放置於連結線 301〜314、任一落棋圈10〜60或是任一指標圖像為六個攻 據點的棋手為勝方，若在此情況下都未達成才算是合局， 依此配合，可使棋手在數字運算的同時須兼顧到陣型的取 20 捨，進而達到邏輯運算與推衍的心算教育功能，且能供使 用者在娛樂的同時能增進數理的能力。 此外，本發明除了可將上述之棋盤2與棋子1產品化 之外，更能配合電腦程式的建置，供二位棋手於電腦或是 10 玖、發明說明（7 ) 網際網路上對奕，且於使用時，一方可由電腦控制，另一 方則由玩家控制，或是雙方都由玩家控制。 細納上述，本發明的心算教具乃一提供學子從基本邏 輯陣型配合上數字的加總作階段性的訓練，所以在使用上 5可提昇棋手的邏輯推衍，進而在無形之中加強自身的心算 能力，且，針對一些對數理相當不具概念的學子，也能由 本發明啟蒙其數理邏輯的概念，進而引發其對心算邏輯上 的興趣，而更重要的是，本發明並非單單只有提供學子學 習數理的-種教具，其於實務上更能延伸為一般遊戲使用 1〇 ’讓使用者除了達到娛樂效果之外，同時也達到增進數理 邏輯概念，再者，本發明以其特殊性配合各類型心算演練 ，必然能達到寓教於樂的目的，而且是一種老少咸宜、易 學易懂，容易上手的棋類教具，所以能提供全家同樂並附 帶有親子教育功能，況且，本發明以四十二落棋點 15 2〇1〜242形成有多數平衡對稱的重疊圖像（如第九至十一 圖），其搭配於實務使用上會有變化莫測的進行方式，因 而在實務上就顯的博大精深，利於使用者長遠使、用，故具 有極高度的產業價值性與利用性。 惟以上所述者，僅為本發明之較佳實施例而已，當 2〇不能以此限定本發明實施之範圍，即大凡依本發明申請專 利範圍及發明說明書内容所作之簡單的等效變化與修飾， 皆應仍屬本發明專利涵蓋之範圍内。 【圖式簡單說明】 11 594603 玖、發明說明（8 ) 第一圖是一棋子的外觀示意圖，說明本發明之心算教 具的棋子樣態； 第二圖是一棋盤的平面示意圖，說明本發明之心算教 具的棋盤樣態； 5 第三圖是該較佳實施例之第一落棋圈的示意圖； 第四圖是該較佳實施例之第二落棋圈的示意圖； 第五圖是該較佳實施例之第三落棋圈的示意圖； 第六圖是該較佳實施例之第四落棋圈的示意圖； 第七圖是該較佳實施例之第五落棋圈的示意圖； 10 第八圖是該較佳實施例之第六落棋圈的示意圖； 第九圖是該較佳實施例之一指標圖像的示意圖； 第十圖是該較佳實施例之另一指標圖像的示意圖； 第十一圖是該較佳實施例之再一指標圖像的示意圖； 第十二圖是該較佳實施例的第一使用狀態示意圖； 15 第十三圖是該較佳實施例的第二使用狀態示意圖；及 第十四圖是該較佳實施例的第三使用狀態示意圖。 附件：棋盤之示意圖，各落棋點以落棋圈的組成標示 上不同的顏色，以利實務使用。 12 20 594603 玖、發明說明（9 ) 【圖式之主要元件代表符號簡單說明】 1 棋子 2 棋盤 201〜242 第一至第四十二落棋點 301〜3 14 第一至第十四連結線 5 10〜60 第一至第六落棋圈 13Twenty-nine and thirty check points 229 and 230, and the third connection line 303 and the tenth and eleven connection lines 310 and 311 respectively meet as the thirty-first and thirty-two check points 231, 232, the sixth connection line 306 meets the eleventh and thirteenth connection lines 311, 313, respectively, as the 33rd, 15th and thirty-fourth check points 233, 234, and the seventh connection line 307 is The intersection with the thirteenth connecting line 313 is regarded as the thirty-fifth checker 235, and the second, sixth, seventh, ten, eleven, and thirteen connecting lines 302, 306, 307, 310, 311, and 313 meet The seven intersection points that form the innermost circle when they intersect each other are regarded as 36th to 42nd chess points 236 ~ 242. 20 As shown in the third to eight figures, the first to seventh check points 201 to 207 define the first checker circle 10, and the eighth to fourteenth check points 208 to 214 define the second checker circle 20, Fifteenth, Seventeenth, Nineteenth, Twenty-one, Twenty-three, Twenty-five, Twenty-seven checkers 215, 217, 219, 221, 223, 7 594603 玖, Description of invention (5) The invention is used in initial training. Forty-two chess pieces 1 are prepared and divided equally between two chess players, and the chess pieces 1 held by each chess player are distinguished in different styles. Then, as shown in the twelfth figure, and the following refer to the check points 201 to 242, the connecting lines 301 to 314, the checkers circle 10 to 60, or any of the five fingers, refer to the second to ten for cooperation. A picture, first, two players place the chess pieces 1 to the check points 201 to 242 of the board 2 in a sequential manner. When one of the chess pieces 1 is placed on the connecting line 301 to 314, any of the chess circles 10 ~ 60 or any indicator image is the winner when there are six attack points. In this way, it can be conveyed by the concept of straight lines and geometric figures, so that learners can quickly understand the intersection, overlap, The concept of transformation and changeable fun, which further enhances the logic operability. Secondly, after the beginners are familiar with the above-mentioned initial training, they can use the numbers on the chess piece 1 to match the connection lines of chess board 2, any chess circle 10 to 60, or any index image for digital operation combination training. 15 That is, as shown in the thirteenth figure, and the following refer to the check points 201 to 242, the connecting lines 301 to 314, the checkers circle 10 to 60, or any indicator image. For the eleventh figure, first cover the figures of each chess piece face down, and then mix the chess pieces 1 correspondingly to each of the checkpoints 201 to 242. Then, two or more players will open the board one by one. 20 The number of any chess piece 1 on 2, when one of the players opens the number on the connection line 301 ~ 314 of chessboard 2, any chess circle 10 ~ 60 or the total number of attack points in the indicator image One hundred is the winner. In addition, both of the above-mentioned usage methods can enable beginners to quickly understand the 594603 发明, invention description (6) the mysteries of geometric logic images and numbers, and then can use the higher-level usage methods of the present invention with ease. That is, as shown in the fourteenth figure, and the following refer to the check points 201 to 242, the connecting lines 301 to 314, the checker circle 10 to 60, or the indicator image, please refer to the second to eleventh figures. First, , Discriminate chess piece 1 with single 5 and double numbers and assign them to two chess players, and the two chess players respectively place one chess piece 1 to check points 201 ~ 242 of chess board 2 in a sequential manner. If the number of chess pieces 1 set reaches six attack points on the board's connection line 301 ~ 314, any chess circle 10 ~ 60, or any indicator image, and the total is one hundred, it is the winner; so Not only can the 10 players understand the mental arithmetic and logical concepts of digital operation and shape through the geometry 10 figure, but also can achieve the effect of educational and entertaining use. It is possible to complete the forty-two chess pieces 1 by using the numbers to match the connecting lines 301 to 314 of chessboard 2, any chess circle 10 to 60, or any indicator image to reach a total of one hundred with six attack points. It was not achieved afterwards, so the 15 above can be used in conjunction with the first use method, that is, when both players fail to reach the goal in the total number, they can reach one of the first pieces and place them on the link 301 ~ 314. Any chess player with a score of 10 to 60 or any indicator with six attack points is the winner. If it is not reached in this case, it is considered as a tie. With this cooperation, the chess player can be made. When calculating numbers, it is necessary to take into account the rounding of the formation, so as to achieve the mental arithmetic education function of logical operations and deduction, and to provide users with the ability to enhance mathematics and physics while entertaining. In addition, the present invention can not only make the above-mentioned chessboard 2 and chessman 1 into production, but also can cooperate with the construction of computer programs for two chess players on the computer or 10 玖, description of the invention (7) on the Internet When using, one side can be controlled by the computer, the other side is controlled by the player, or both sides are controlled by the player. As mentioned above, the mental arithmetic teaching aid of the present invention is to provide students with periodic training from the basic logical formation and the sum of numbers. Therefore, using 5 can improve the logical deduction of the player, and then strengthen itself in the invisible. Mental arithmetic ability, and for some students whose logarithmic theory is quite non-conceptual, the concept of mathematical logic can also be enlightened by the present invention, which in turn stimulates their interest in mental arithmetic logic, and more importantly, the present invention is not only for students A kind of teaching aid for learning mathematics, which can be extended in practice to 10 ′ for general games, so that in addition to achieving entertainment effects, users can also achieve the promotion of mathematical logic concepts. Furthermore, the present invention cooperates with each Type mental arithmetic drills can certainly achieve the purpose of entertaining education, and it is a kind of chess teaching aids that are suitable for all ages, easy to learn, easy to learn, so it can provide fun for the whole family and has a parent-child education function. Moreover, the present invention Forty-two checkerboards 15 201 ~ 242 are formed with most balanced symmetrical images (such as the ninth to eleventh pictures), which are matched with There will be unpredictable ways of doing practical use. Therefore, it is extensive and profound in practice, which is conducive to the long-term use and use of users. Therefore, it has extremely high industrial value and utilization. However, the above are only the preferred embodiments of the present invention. When 20 cannot be used to limit the scope of the present invention, that is, the simple equivalent changes made according to the scope of the patent application and the contents of the invention specification of the present invention, and Modifications should still fall within the scope of the invention patent. [Brief description of the drawings] 11 594603 发明, description of the invention (8) The first diagram is a schematic diagram of a chess piece, illustrating the appearance of the mental arithmetic teaching aids of the present invention; the second diagram is a schematic plan view of a chessboard, illustrating the invention The checkerboard pattern of mental arithmetic teaching aids; 5 The third diagram is a schematic diagram of the first checker circle of the preferred embodiment; the fourth diagram is a schematic diagram of the second checker circle of the preferred embodiment; the fifth diagram is the comparison Schematic diagram of the third checker circle of the preferred embodiment; Figure 6 is a schematic diagram of the fourth checker circle of the preferred embodiment; Figure 7 is a schematic diagram of the fifth checker circle of the preferred embodiment; Figure 8 is a schematic diagram of the sixth checker circle of the preferred embodiment; Figure 9 is a schematic diagram of an index image of one of the preferred embodiments; Figure 10 is a schematic diagram of another indicator image of the preferred embodiment Schematic diagram; Figure 11 is a schematic diagram of another index image of the preferred embodiment; Figure 12 is a schematic diagram of the first use state of the preferred embodiment; 15 Figure 13 is a diagram of the preferred embodiment The second use state diagram; and the fourteenth diagram is the preferred The third embodiment of the usage state of FIG. Attachment: A schematic diagram of the chessboard. Each check point is marked with a different color in the composition of the checker circle for practical use. 12 20 594603 发明 Description of the invention (9) [Simplified description of the main symbols of the drawings] 1 Chess piece 2 Chess board 201 ~ 242 First to forty-two checker points 301 to 3 14 First to fourteenth connecting lines 5 10 ~ 60 First to sixth checkers 13