{"id":22843,"date":"2021-04-22T12:53:25","date_gmt":"2021-04-22T16:53:25","guid":{"rendered":"https:\/\/nche.com\/?p=22843"},"modified":"2021-04-22T12:56:54","modified_gmt":"2021-04-22T16:56:54","slug":"blog-what-math-teaches-us-about-god","status":"publish","type":"post","link":"https:\/\/nche.com\/vi\/blog-what-math-teaches-us-about-god\/","title":{"rendered":"To\u00e1n h\u1ecdc d\u1ea1y ch\u00fang ta \u0111i\u1ec1u g\u00ec v\u1ec1 Ch\u00faa!"},"content":{"rendered":"

b\u1edfi Andrea Hall, th\u00e1ng 4 n\u0103m 2021<\/strong><\/p>\n

N\u0103m ngo\u00e1i, t\u00f4i \u0111\u00e3 d\u00e0nh th\u1eddi gian t\u1eadp trung v\u00e0o vi\u1ec7c d\u1ea1y to\u00e1n t\u1eeb Kinh th\u00e1nh v\u00e0 b\u1eb1ng nhi\u1ec1u c\u00e1ch th\u1ef1c t\u1ebf kh\u00e1c. Trong su\u1ed1t qu\u00e1 tr\u00ecnh n\u00e0y, t\u00f4i \u0111\u00e3 y\u00eau Ch\u00faa v\u00e0 y\u00eau to\u00e1n h\u1ecdc nhi\u1ec1u h\u01a1n. B\u00e2y gi\u1edd t\u00f4i t\u00ecm ki\u1ebfm b\u00e0i h\u1ecdc thu\u1ed9c linh trong m\u1ed7i b\u00e0i h\u1ecdc to\u00e1n m\u00e0 t\u00f4i d\u1ea1y. V\u00ec v\u1eady, to\u00e1n h\u1ecdc d\u1ea1y ch\u00fang ta \u0111i\u1ec1u g\u00ec v\u1ec1 Ch\u00faa? N\u00f3 d\u1ea1y ch\u00fang ta r\u1eb1ng \u0110\u1ee9c Ch\u00faa Tr\u1eddi l\u00e0 v\u00f4 h\u1ea1n, \u0110\u1ee9c Ch\u00faa Tr\u1eddi l\u00e0 \u0110\u1ee9c Ch\u00faa Tr\u1eddi c\u00f3 tr\u1eadt t\u1ef1 v\u00e0 Ch\u00faa Gi\u00ea-xu l\u00e0 c\u00e2u tr\u1ea3 l\u1eddi.<\/span><\/p>\n

Thi\u00ean Ch\u00faa l\u00e0 v\u00f4 h\u1ea1n<\/b><\/p>\n

\u0110\u1ea7u ti\u00ean, to\u00e1n h\u1ecdc d\u1ea1y ch\u00fang ta r\u1eb1ng Ch\u00faa l\u00e0 v\u00f4 h\u1ea1n. Kh\u00f4ng c\u00f3 b\u1eaft \u0111\u1ea7u, v\u00e0 kh\u00f4ng c\u00f3 k\u1ebft th\u00fac. Ch\u00fang t\u00f4i th\u1ea5y \u0111i\u1ec1u n\u00e0y trong v\u00f4 s\u1ed1 s\u1ed1, \u0111\u01b0\u1ee3c hi\u1ec3n th\u1ecb \u1edf \u0111\u00e2y:<\/span><\/p>\n

\"\"<\/p>\n

Trong to\u00e1n h\u1ecdc, khi ch\u00fang ta vi\u1ebft mi\u1ec1n c\u1ee7a m\u1ed9t h\u00e0m tuy\u1ebfn t\u00ednh, ch\u00fang ta n\u00f3i r\u1eb1ng n\u00f3 l\u00e0 t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 th\u1ef1c (ho\u1eb7c -infinity, + infinity). N\u1ebfu c\u00e1c con s\u1ed1 kh\u00f4ng c\u00f3 b\u1eaft \u0111\u1ea7u v\u00e0 kh\u00f4ng c\u00f3 k\u1ebft th\u00fac, v\u00e0 ch\u00fang ta ch\u1ea5p nh\u1eadn \u0111i\u1ec1u \u0111\u00f3, th\u00ec t\u1ea1i sao ch\u00fang ta l\u1ea1i nghi ng\u1edd v\u1ec1 m\u1ed9t \u0110\u1ee9c Ch\u00faa Tr\u1eddi v\u00f4 h\u1ea1n! Thi-thi\u00ean 90:2 n\u00f3i: \u201cTr\u01b0\u1edbc khi n\u00fai non d\u1ef1ng n\u00ean, ho\u1eb7c ch\u01b0a h\u1ec1 d\u1ef1ng n\u00ean \u0111\u1ea5t v\u00e0 th\u1ebf gian, t\u1eeb \u0111\u1eddi \u0111\u1eddi cho \u0111\u1ebfn \u0111\u1eddi \u0111\u1eddi, Ch\u00faa l\u00e0 \u0110\u1ee9c Ch\u00faa Tr\u1eddi\u201d. T\u00f4i \u0111\u01b0\u1ee3c nh\u1eafc nh\u1edf th\u00f4ng qua to\u00e1n h\u1ecdc r\u1eb1ng t\u00f4i ph\u1ee5c v\u1ee5 m\u1ed9t Ch\u00faa v\u00f4 h\u1ea1n.<\/span><\/p>\n

\u0110\u1ee9c Ch\u00faa Tr\u1eddi l\u00e0 \u0110\u1ee9c Ch\u00faa Tr\u1eddi c\u1ee7a tr\u1eadt t\u1ef1<\/b><\/p>\n

Trong to\u00e1n h\u1ecdc, ch\u00fang ta h\u1ecdc v\u1ec1 th\u1ee9 t\u1ef1 c\u1ee7a c\u00e1c ph\u00e9p to\u00e1n, \u0111\u01b0\u1ee3c g\u1ecdi m\u1ed9t c\u00e1ch tr\u00ecu m\u1ebfn l\u00e0 PEMDAS ho\u1eb7c \u201cXin th\u1ee9 l\u1ed7i cho d\u00ec Sally th\u00e2n y\u00eau c\u1ee7a t\u00f4i.\u201d Th\u1ee9 t\u1ef1 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p to\u00e1n n\u00eau th\u1ee9 t\u1ef1 m\u00e0 ch\u00fang ta ph\u1ea3i nh\u00e2n, chia, c\u1ed9ng ho\u1eb7c tr\u1eeb c\u00e1c s\u1ed1. P ch\u1ec9 ra r\u1eb1ng b\u1ea5t k\u1ef3 thao t\u00e1c n\u00e0o n\u1eb1m trong d\u1ea5u ngo\u1eb7c \u0111\u01a1n ph\u1ea3i \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n tr\u01b0\u1edbc. E ch\u1ec9 ra r\u1eb1ng s\u1ed1 m\u0169 ph\u1ea3i \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 th\u1ee9 hai. M v\u00e0 D ch\u1ec9 ra r\u1eb1ng b\u1ea1n ph\u1ea3i nh\u00e2n ho\u1eb7c chia t\u1eeb tr\u00e1i sang ph\u1ea3i (c\u00f3 th\u1ec3 ho\u00e1n \u0111\u1ed5i cho nhau). A v\u00e0 S cho bi\u1ebft b\u1ea1n ph\u1ea3i c\u1ed9ng ho\u1eb7c tr\u1eeb t\u1eeb tr\u00e1i sang ph\u1ea3i (c\u00f3 th\u1ec3 ho\u00e1n \u0111\u1ed5i cho nhau). B\u1ea1n <\/span>kh\u00f4ng th\u1ec3<\/span><\/i> c\u1ed9ng ho\u1eb7c tr\u1eeb <\/span>tr\u01b0\u1edbc<\/span><\/i> b\u1ea1n nh\u00e2n ho\u1eb7c chia. Tr\u00ecnh t\u1ef1 c\u00e1c thao t\u00e1c n\u00e0y <\/span>kh\u00f4ng th\u1ec3<\/span><\/i> \u0111\u01b0\u1ee3c ho\u00e1n \u0111\u1ed5i cho nhau.<\/span><\/p>\n

Th\u00f4ng qua I C\u00f4-rinh-t\u00f4 14:40 v\u00e0 tr\u00ecnh t\u1ef1 th\u1ef1c hi\u1ec7n, t\u00f4i \u0111\u01b0\u1ee3c nh\u1eafc nh\u1edf r\u1eb1ng t\u00f4i ph\u1ee5c v\u1ee5 m\u1ed9t \u0110\u1ee9c Ch\u00faa Tr\u1eddi l\u00e0 \u0110\u1ea5ng mu\u1ed1n m\u1ecdi vi\u1ec7c \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n \u201cm\u1ed9t c\u00e1ch \u0111\u00e0ng ho\u00e0ng v\u00e0 c\u00f3 tr\u1eadt t\u1ef1.\u201d<\/span><\/p>\n

Ch\u00faa Gi\u00ea-xu L\u00e0 C\u00e2u Tr\u1ea3 L\u1eddi<\/b><\/p>\n

Trong to\u00e1n h\u1ecdc, ch\u1ec9 c\u00f3 <\/span>m\u1ed9t<\/span><\/i> C\u00e2u tr\u1ea3 l\u1eddi ch\u00ednh x\u00e1c. Ch\u1ec9 c\u00f3 th\u1ec3 c\u00f3 m\u1ed9t! B\u1ea1n c\u00f3 th\u1ec3 vi\u1ebft n\u00f3 kh\u00e1c \u0111i nh\u01b0ng v\u1eabn c\u00f3 m\u1ed9t c\u00e2u tr\u1ea3 l\u1eddi. B\u1ea1n c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 c\u1ee7a m\u00ecnh kh\u00e1c v\u1edbi ng\u01b0\u1eddi b\u00ean c\u1ea1nh, nh\u01b0ng v\u1eabn ch\u1ec9 c\u00f3 m\u1ed9t c\u00e2u tr\u1ea3 l\u1eddi \u0111\u00fang.<\/span><\/p>\n

V\u00ed d\u1ee5: Gi\u1ea3i 3x + 2 = 6 t\u00ecm x.<\/span><\/p>\n

L\u1ef1a ch\u1ecdn 1:<\/span><\/p>\n

\u0110\u1ec3 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 n\u00e0y, b\u1ea1n c\u00f3 th\u1ec3 tr\u1eeb 2 \u1edf c\u1ea3 hai v\u1ebf r\u1ed3i chia c\u1ea3 hai v\u1ebf cho 3 nh\u01b0 minh h\u1ecda \u1edf \u0111\u00e2y:<\/span><\/p>\n

\"\"<\/p>\n

L\u1ef1a ch\u1ecdn 2:<\/span><\/p>\n

M\u1eb7t kh\u00e1c, b\u1ea1n c\u00f3 th\u1ec3 chia c\u1ea3 hai v\u1ebf cho 3 tr\u01b0\u1edbc r\u1ed3i tr\u1eeb 2\/3 cho c\u1ea3 hai v\u1ebf nh\u01b0 minh h\u1ecda \u1edf \u0111\u00e2y:<\/span><\/p>\n

\"\"<\/p>\n

L\u01b0u \u00fd r\u1eb1ng trong t\u00f9y ch\u1ecdn 2, c\u00e1c ph\u00e2n s\u1ed1 \u0111\u01b0\u1ee3c gi\u1edbi thi\u1ec7u s\u1edbm h\u01a1n, \u0111i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 kh\u00f3 kh\u0103n h\u01a1n \u0111\u1ed1i v\u1edbi m\u1ed9t s\u1ed1 h\u1ecdc sinh. T\u00f9y ch\u1ecdn 1 c\u00f3 th\u1ec3 tr\u1ef1c ti\u1ebfp h\u01a1n.<\/span><\/p>\n

Trong cu\u1ed9c h\u00e0nh tr\u00ecnh theo \u0111\u1ea1o C\u01a1 \u0111\u1ed1c c\u1ee7a m\u00ecnh, m\u1ed9t s\u1ed1 ng\u01b0\u1eddi trong ch\u00fang ta c\u00f3 th\u1ec3 \u0111i theo con \u0111\u01b0\u1eddng th\u1eb3ng th\u1eafn h\u01a1n trong khi nh\u1eefng ng\u01b0\u1eddi kh\u00e1c trong ch\u00fang ta c\u00f3 th\u1ec3 gi\u1ed1ng nh\u01b0 con c\u00e1i Y-s\u01a1-ra-\u00ean, lang thang trong sa m\u1ea1c su\u1ed1t b\u1ed1n m\u01b0\u01a1i n\u0103m. Con \u0111\u01b0\u1eddng ch\u00fang ta ch\u1ecdn s\u1ebd t\u00f9y thu\u1ed9c v\u00e0o m\u1ee9c \u0111\u1ed9 ch\u00fang ta \u0111\u1ea7u ph\u1ee5c \u0110\u1ee9c Th\u00e1nh Linh. Ch\u00faa cho ch\u00fang ta l\u1ef1a ch\u1ecdn, gi\u1ed1ng nh\u01b0 b\u1ea1n c\u00f3 quy\u1ec1n l\u1ef1a ch\u1ecdn (nh\u1eefng) ph\u01b0\u01a1ng ph\u00e1p n\u00e0o s\u1ebd s\u1eed d\u1ee5ng khi gi\u1ea3i m\u1ed9t b\u00e0i to\u00e1n. C\u00f3 <\/span>m\u1ed9t<\/span><\/i> \u0111i\u1ec1u \u0111\u00f3 l\u00e0 kh\u00f4ng \u0111\u1ed5i m\u1eb7c d\u00f9. ch\u1ec9 c\u00f3 <\/span>m\u1ed9t<\/span><\/i> tr\u1ea3 l\u1eddi.<\/span><\/p>\n

Trong c\u1ea3 hai l\u1ef1a ch\u1ecdn, c\u00e2u tr\u1ea3 l\u1eddi v\u1eabn l\u00e0 x = 4\/3.<\/span><\/p>\n

Gi\u0103ng 14:6 n\u00f3i: \u201cCh\u00faa Gi\u00ea-xu ph\u00e1n r\u1eb1ng: Ta l\u00e0 \u0111\u01b0\u1eddng \u0111i, l\u1ebd th\u1eadt, v\u00e0 s\u1ef1 s\u1ed1ng: ch\u1eb3ng b\u1edfi ta th\u00ec kh\u00f4ng ai \u0111\u01b0\u1ee3c \u0111\u1ebfn c\u00f9ng Cha.\u201d V\u00ec v\u1eady, trong khi ch\u00fang ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p kh\u00e1c \u0111\u1ec3 t\u00ecm ra c\u00e2u tr\u1ea3 l\u1eddi, to\u00e1n h\u1ecdc nh\u1eafc nh\u1edf t\u00f4i r\u1eb1ng ch\u1ec9 c\u00f3 m\u1ed9t c\u00e2u tr\u1ea3 l\u1eddi duy nh\u1ea5t, \u0111\u00f3 l\u00e0 \u0110\u1ee9c Ch\u00faa Tr\u1eddi, qua Ch\u00faa Gi\u00ea-xu Christ, Ch\u00faa ch\u00fang ta.<\/span><\/p>\n

Mong b\u1ea1n ti\u1ebfp t\u1ee5c \u0111\u01b0\u1ee3c ban ph\u01b0\u1edbc khi b\u1ea1n nh\u00ecn th\u1ea5y Ch\u00faa trong m\u1ecdi kh\u00eda c\u1ea1nh c\u1ee7a cu\u1ed9c s\u1ed1ng c\u1ee7a b\u1ea1n.<\/span><\/p>\n

H\u1ed9i tr\u01b0\u1eddng Andrea<\/i><\/b>, Th\u1ea1c s\u0129 Gi\u00e1o d\u1ee5c, l\u00e0 m\u1ed9t nh\u00e0 gi\u00e1o d\u1ee5c \u0111\u01b0\u1ee3c ch\u1ee9ng nh\u1eadn, gi\u00e1m \u0111\u1ed1c \u0111i\u1ec1u h\u00e0nh v\u00e0 l\u00e0 m\u1eb9 c\u1ee7a ba \u0111\u1ee9a con v\u1edbi h\u01a1n m\u01b0\u1eddi b\u1ea3y n\u0103m kinh nghi\u1ec7m d\u1ea1y h\u1ecdc t\u1ea1i nh\u00e0. L\u00e0 m\u1ed9t nh\u00e0 gi\u00e1o d\u1ee5c, b\u00e0 thi\u1ebft k\u1ebf c\u00e1c kh\u00f3a h\u1ecdc tr\u1ef1c tuy\u1ebfn v\u00e0 gi\u1ea3ng d\u1ea1y th\u00f4ng qua C\u00f4ng ty T\u01b0 v\u1ea5n Gi\u00e1o d\u1ee5c The Study Hall, LLC. B\u00e0 \u0111\u01b0\u1ee3c truy\u1ec1n c\u1ea3m h\u1ee9ng \u0111\u1ec3 th\u00e0nh l\u1eadp C\u1ed9ng \u0111\u1ed3ng To\u00e1n h\u1ecdc Trong Cu\u1ed9c S\u1ed1ng Th\u1ef1c (In Real Life Math Community)., http:\/\/www.irlmath.org<\/a>, C\u00f4 \u0111\u01b0\u1ee3c truy\u1ec1n c\u1ea3m h\u1ee9ng t\u1eeb t\u00ecnh y\u00eau to\u00e1n h\u1ecdc. C\u00f4 c\u0169ng l\u00e0 ng\u01b0\u1eddi s\u00e1ng l\u1eadp v\u00e0 gi\u00e1m \u0111\u1ed1c \u0111i\u1ec1u h\u00e0nh c\u1ee7a EPIC Homeschool Network, Inc., m\u1ed9t t\u1ed5 ch\u1ee9c phi l\u1ee3i nhu\u1eadn v\u1ec1 gi\u00e1o d\u1ee5c t\u1ea1i nh\u00e0 nh\u1eb1m m\u1ee5c \u0111\u00edch l\u00e0m phong ph\u00fa, n\u00e2ng cao v\u00e0 trao quy\u1ec1n cho gi\u00e1o d\u1ee5c t\u1ea1i nh\u00e0 trong c\u1ed9ng \u0111\u1ed3ng (www.epichsn.org). Khi kh\u00f4ng l\u00e0m vi\u1ec7c, c\u00f4 th\u00edch vi\u1ebft blog t\u1ea1i http:\/\/www.nomommyleftbehind.com<\/a> N\u01a1i c\u00f4 \u1ea5y chia s\u1ebb h\u00e0nh tr\u00ecnh c\u1ee7a m\u00ecnh v\u1edbi t\u01b0 c\u00e1ch l\u00e0 m\u1ed9t b\u00e0 m\u1eb9 b\u1eadn r\u1ed9n, v\u1eeba \u0111i l\u00e0m v\u1eeba d\u1ea1y con t\u1ea1i nh\u00e0. Andrea s\u1ebd l\u00e0 di\u1ec5n gi\u1ea3 t\u1ea1i 2021 Thrive! H\u1ed9i ngh\u1ecb.<\/strong><\/a><\/span><\/i><\/p>","protected":false},"excerpt":{"rendered":"

B\u00e0i vi\u1ebft c\u1ee7a Andrea Hall, th\u00e1ng 4 n\u0103m 2021. N\u0103m v\u1eeba qua, t\u00f4i \u0111\u00e3 d\u00e0nh th\u1eddi gian t\u1eadp trung v\u00e0o vi\u1ec7c d\u1ea1y to\u00e1n t\u1eeb Kinh Th\u00e1nh v\u00e0 b\u1eb1ng nhi\u1ec1u c\u00e1ch th\u1ef1c ti\u1ec5n kh\u00e1c. Trong su\u1ed1t qu\u00e1 tr\u00ecnh n\u00e0y, t\u00f4i c\u00e0ng y\u00eau m\u1ebfn Ch\u00faa v\u00e0 to\u00e1n h\u1ecdc h\u01a1n. Gi\u1edd \u0111\u00e2y, t\u00f4i t\u00ecm ki\u1ebfm b\u00e0i h\u1ecdc thu\u1ed9c linh trong m\u1ed7i b\u00e0i h\u1ecdc to\u00e1n m\u00e0 t\u00f4i d\u1ea1y. V\u1eady, to\u00e1n h\u1ecdc d\u1ea1y ch\u00fang ta \u0111i\u1ec1u g\u00ec v\u1ec1 Ch\u00faa? N\u00f3 d\u1ea1y ch\u00fang ta r\u1eb1ng Ch\u00faa l\u00e0 v\u00f4 h\u1ea1n, r\u1eb1ng Ch\u00faa l\u00e0 m\u1ed9t Ch\u00faa c\u1ee7a tr\u1eadt t\u1ef1, v\u00e0 r\u1eb1ng Ch\u00faa Gi\u00ea-su l\u00e0 c\u00e2u tr\u1ea3 l\u1eddi. Ch\u00faa L\u00e0 V\u00f4 H\u1ea1n Tr\u01b0\u1edbc h\u1ebft, to\u00e1n h\u1ecdc d\u1ea1y ch\u00fang ta r\u1eb1ng Ch\u00faa l\u00e0 v\u00f4 h\u1ea1n. Kh\u00f4ng c\u00f3 kh\u1edfi \u0111\u1ea7u, v\u00e0 kh\u00f4ng c\u00f3 k\u1ebft th\u00fac. Ch\u00fang ta th\u1ea5y \u0111i\u1ec1u n\u00e0y trong s\u1ed1 v\u00f4 c\u1ef1c, \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n \u1edf \u0111\u00e2y: Trong to\u00e1n h\u1ecdc, khi ch\u00fang ta vi\u1ebft mi\u1ec1n x\u00e1c \u0111\u1ecbnh c\u1ee7a m\u1ed9t h\u00e0m tuy\u1ebfn t\u00ednh, ch\u00fang ta n\u00f3i r\u1eb1ng \u0111\u00f3 l\u00e0 t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 th\u1ef1c (ho\u1eb7c \u00e2m v\u00f4 c\u1ef1c, d\u01b0\u01a1ng v\u00f4 c\u1ef1c). N\u1ebfu c\u00e1c s\u1ed1 kh\u00f4ng th\u1ec3 c\u00f3 kh\u1edfi \u0111\u1ea7u v\u00e0 kh\u00f4ng c\u00f3 k\u1ebft th\u00fac, v\u00e0 ch\u00fang ta ch\u1ea5p nh\u1eadn \u0111i\u1ec1u \u0111\u00f3, th\u00ec t\u1ea1i sao ch\u00fang ta l\u1ea1i nghi ng\u1edd m\u1ed9t Ch\u00faa v\u00f4 h\u1ea1n! Thi thi\u00ean 90:2 n\u00f3i: \u201cTr\u01b0\u1edbc khi n\u00fai non \u0111\u01b0\u1ee3c d\u1ef1ng n\u00ean, ho\u1eb7c tr\u01b0\u1edbc khi Ch\u00faa d\u1ef1ng n\u00ean \u0111\u1ea5t v\u00e0 th\u1ebf gi\u1edbi, t\u1eeb \u0111\u1eddi \u0111\u1eddi \u0111\u1ebfn \u0111\u1eddi \u0111\u1eddi, Ch\u00faa l\u00e0 \u0110\u1ee9c Ch\u00faa Tr\u1eddi.\u201d Qua to\u00e1n h\u1ecdc, t\u00f4i \u0111\u01b0\u1ee3c nh\u1eafc nh\u1edf r\u1eb1ng t\u00f4i \u0111ang ph\u1ee5ng s\u1ef1 m\u1ed9t Ch\u00faa v\u00f4 h\u1ea1n. Ch\u00faa l\u00e0 \u0110\u1ee9c Ch\u00faa Tr\u1eddi c\u1ee7a Tr\u1eadt T\u1ef1 Trong to\u00e1n h\u1ecdc, ch\u00fang ta h\u1ecdc v\u1ec1 th\u1ee9 t\u1ef1 c\u00e1c ph\u00e9p to\u00e1n, th\u01b0\u1eddng \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 PEMDAS ho\u1eb7c \u201cPlease Excuse My Dear Aunt Sally\u201d (Xin h\u00e3y th\u1ee9 l\u1ed7i cho d\u00ec Sally th\u00e2n y\u00eau c\u1ee7a t\u00f4i). Th\u1ee9 t\u1ef1 c\u00e1c ph\u00e9p to\u00e1n quy \u0111\u1ecbnh th\u1ee9 t\u1ef1 m\u00e0 ch\u00fang ta ph\u1ea3i nh\u00e2n, chia, c\u1ed9ng ho\u1eb7c tr\u1eeb c\u00e1c s\u1ed1. Ch\u1eef P ch\u1ec9 ra r\u1eb1ng b\u1ea5t k\u1ef3 ph\u00e9p to\u00e1n n\u00e0o n\u1eb1m trong d\u1ea5u ngo\u1eb7c \u0111\u01a1n ph\u1ea3i \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n tr\u01b0\u1edbc. Ch\u1eef E ch\u1ec9 ra r\u1eb1ng l\u0169y th\u1eeba ph\u1ea3i \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n th\u1ee9 hai. Ch\u1eef M v\u00e0 D ch\u1ec9 ra r\u1eb1ng b\u1ea1n ph\u1ea3i nh\u00e2n ho\u1eb7c chia t\u1eeb tr\u00e1i sang ph\u1ea3i (c\u00f3 th\u1ec3 ho\u00e1n \u0111\u1ed5i v\u1ecb tr\u00ed). Ch\u1eef A v\u00e0 S ch\u1ec9 ra r\u1eb1ng b\u1ea1n ph\u1ea3i c\u1ed9ng ho\u1eb7c tr\u1eeb t\u1eeb tr\u00e1i sang ph\u1ea3i (c\u00f3 th\u1ec3 ho\u00e1n \u0111\u1ed5i v\u1ecb tr\u00ed). B\u1ea1n kh\u00f4ng th\u1ec3 c\u1ed9ng ho\u1eb7c tr\u1eeb tr\u01b0\u1edbc khi nh\u00e2n ho\u1eb7c chia. Th\u1ee9 t\u1ef1 c\u1ee7a c\u00e1c ph\u00e9p to\u00e1n n\u00e0y kh\u00f4ng th\u1ec3 ho\u00e1n \u0111\u1ed5i. Qua I C\u00f4-rinh-t\u00f4 14:40 v\u00e0 th\u1ee9 t\u1ef1 c\u00e1c ph\u00e9p to\u00e1n, t\u00f4i \u0111\u01b0\u1ee3c nh\u1eafc nh\u1edf r\u1eb1ng t\u00f4i ph\u1ee5c v\u1ee5 m\u1ed9t \u0110\u1ee9c Ch\u00faa Tr\u1eddi mu\u1ed1n m\u1ecdi vi\u1ec7c \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n \u201cm\u1ed9t c\u00e1ch \u0111\u00e0ng ho\u00e0ng v\u00e0 c\u00f3 tr\u1eadt t\u1ef1\u201d. Ch\u00faa Gi\u00ea-su l\u00e0 C\u00e2u Tr\u1ea3 L\u1eddi Trong to\u00e1n h\u1ecdc, ch\u1ec9 c\u00f3 m\u1ed9t c\u00e2u tr\u1ea3 l\u1eddi \u0111\u00fang. Ch\u1ec9 c\u00f3 th\u1ec3 c\u00f3 m\u1ed9t! B\u1ea1n c\u00f3 th\u1ec3 vi\u1ebft n\u00f3 theo c\u00e1ch kh\u00e1c nh\u01b0ng v\u1eabn ch\u1ec9 c\u00f3 m\u1ed9t c\u00e2u tr\u1ea3 l\u1eddi. B\u1ea1n c\u00f3 th\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n c\u1ee7a m\u00ecnh theo c\u00e1ch kh\u00e1c v\u1edbi ng\u01b0\u1eddi b\u00ean c\u1ea1nh, nh\u01b0ng v\u1eabn ch\u1ec9 c\u00f3 m\u1ed9t \u0111\u00e1p \u00e1n \u0111\u00fang. V\u00ed d\u1ee5: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh 3x + 2 = 6 \u0111\u1ec3 t\u00ecm x. Ph\u01b0\u01a1ng \u00e1n 1: \u0110\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n n\u00e0y, b\u1ea1n c\u00f3 th\u1ec3 tr\u1eeb 2 kh\u1ecfi c\u1ea3 hai v\u1ebf r\u1ed3i chia c\u1ea3 hai v\u1ebf cho 3 nh\u01b0 minh h\u1ecda \u1edf \u0111\u00e2y: Ph\u01b0\u01a1ng \u00e1n 2: M\u1eb7t kh\u00e1c, b\u1ea1n c\u00f3 th\u1ec3 chia c\u1ea3 hai v\u1ebf cho 3 tr\u01b0\u1edbc r\u1ed3i tr\u1eeb 2\/3 kh\u1ecfi c\u1ea3 hai v\u1ebf nh\u01b0 minh h\u1ecda \u1edf \u0111\u00e2y: L\u01b0u \u00fd r\u1eb1ng trong ph\u01b0\u01a1ng \u00e1n 2, ph\u00e2n s\u1ed1 \u0111\u01b0\u1ee3c \u0111\u01b0a v\u00e0o s\u1edbm h\u01a1n, \u0111i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 kh\u00f3 h\u01a1n \u0111\u1ed1i v\u1edbi m\u1ed9t s\u1ed1 h\u1ecdc sinh. Ph\u01b0\u01a1ng \u00e1n 1 c\u00f3 th\u1ec3 tr\u1ef1c ti\u1ebfp h\u01a1n. Trong h\u00e0nh tr\u00ecnh theo Ch\u00faa, m\u1ed9t s\u1ed1 ng\u01b0\u1eddi trong ch\u00fang ta c\u00f3 th\u1ec3 ch\u1ecdn con \u0111\u01b0\u1eddng tr\u1ef1c ti\u1ebfp h\u01a1n trong khi nh\u1eefng ng\u01b0\u1eddi kh\u00e1c c\u00f3 th\u1ec3 gi\u1ed1ng nh\u01b0 con c\u00e1i Israel, lang thang trong sa m\u1ea1c b\u1ed1n m\u01b0\u01a1i n\u0103m. Con \u0111\u01b0\u1eddng ch\u00fang ta ch\u1ecdn s\u1ebd ph\u1ee5 thu\u1ed9c v\u00e0o m\u1ee9c \u0111\u1ed9 ch\u00fang ta ph\u1ee5c t\u00f9ng \u0110\u1ee9c Th\u00e1nh Linh. Ch\u00faa ban cho ch\u00fang ta s\u1ef1 l\u1ef1a ch\u1ecdn, gi\u1ed1ng nh\u01b0 b\u1ea1n c\u00f3 s\u1ef1 l\u1ef1a ch\u1ecdn v\u1ec1 ph\u01b0\u01a1ng ph\u00e1p n\u00e0o \u0111\u1ec3 s\u1eed d\u1ee5ng khi gi\u1ea3i b\u00e0i to\u00e1n. Tuy nhi\u00ean, c\u00f3 m\u1ed9t \u0111i\u1ec1u kh\u00f4ng thay \u0111\u1ed5i. Ch\u1ec9 c\u00f3 m\u1ed9t \u0111\u00e1p \u00e1n. Trong c\u1ea3 hai ph\u01b0\u01a1ng \u00e1n, \u0111\u00e1p \u00e1n v\u1eabn l\u00e0 x = 4\/3. Gi\u0103ng 14:6 ch\u00e9p r\u1eb1ng: \u201c\u0110\u1ee9c Ch\u00faa Gi\u00ea-su ph\u00e1n c\u00f9ng ng\u01b0\u1eddi \u1ea5y r\u1eb1ng: Ta l\u00e0 \u0111\u01b0\u1eddng \u0111i, l\u1ebd th\u1eadt v\u00e0 s\u1ef1 s\u1ed1ng; ch\u1eb3ng ai \u0111\u1ebfn \u0111\u01b0\u1ee3c c\u00f9ng \u0110\u1ee9c Ch\u00faa Cha n\u1ebfu kh\u00f4ng qua Ta.\u201d V\u1eady n\u00ean, d\u00f9 ch\u00fang ta c\u00f3 th\u1ec3 d\u00f9ng nhi\u1ec1u ph\u01b0\u01a1ng ph\u00e1p kh\u00e1c nhau \u0111\u1ec3 t\u00ecm ra c\u00e2u tr\u1ea3 l\u1eddi, to\u00e1n h\u1ecdc nh\u1eafc nh\u1edf t\u00f4i r\u1eb1ng ch\u1ec9 c\u00f3 m\u1ed9t c\u00e2u tr\u1ea3 l\u1eddi duy nh\u1ea5t, \u0111\u00f3 l\u00e0 \u0110\u1ee9c Ch\u00faa Tr\u1eddi, qua Ch\u00faa Gi\u00ea-su Christ, Ch\u00faa ch\u00fang ta. Nguy\u1ec7n xin Ch\u00faa ban ph\u01b0\u1edbc l\u00e0nh cho b\u1ea1n khi b\u1ea1n nh\u00ecn th\u1ea5y \u0110\u1ee9c Ch\u00faa Tr\u1eddi trong m\u1ecdi kh\u00eda c\u1ea1nh c\u1ee7a cu\u1ed9c s\u1ed1ng. Andrea Hall, Th\u1ea1c s\u0129 Gi\u00e1o d\u1ee5c, l\u00e0 m\u1ed9t nh\u00e0 gi\u00e1o d\u1ee5c \u0111\u01b0\u1ee3c ch\u1ee9ng nh\u1eadn, gi\u00e1m \u0111\u1ed1c \u0111i\u1ec1u h\u00e0nh v\u00e0 l\u00e0 m\u1eb9 c\u1ee7a ba \u0111\u1ee9a con v\u1edbi h\u01a1n m\u01b0\u1eddi b\u1ea3y n\u0103m kinh nghi\u1ec7m d\u1ea1y h\u1ecdc t\u1ea1i nh\u00e0. L\u00e0 m\u1ed9t nh\u00e0 gi\u00e1o d\u1ee5c, b\u00e0 thi\u1ebft k\u1ebf c\u00e1c kh\u00f3a h\u1ecdc tr\u1ef1c tuy\u1ebfn v\u00e0 gi\u1ea3ng d\u1ea1y th\u00f4ng qua C\u00f4ng ty T\u01b0 v\u1ea5n Gi\u00e1o d\u1ee5c The Study Hall, LLC. B\u00e0 \u0111\u01b0\u1ee3c truy\u1ec1n c\u1ea3m h\u1ee9ng \u0111\u1ec3 th\u00e0nh l\u1eadp C\u1ed9ng \u0111\u1ed3ng To\u00e1n h\u1ecdc Trong Cu\u1ed9c S\u1ed1ng Th\u1ef1c (In Real Life Math Community)., http:\/\/www.irlmath.org<\/a>, C\u00f4 \u0111\u01b0\u1ee3c truy\u1ec1n c\u1ea3m h\u1ee9ng t\u1eeb t\u00ecnh y\u00eau to\u00e1n h\u1ecdc. C\u00f4 c\u0169ng l\u00e0 ng\u01b0\u1eddi s\u00e1ng l\u1eadp v\u00e0 gi\u00e1m \u0111\u1ed1c \u0111i\u1ec1u h\u00e0nh c\u1ee7a EPIC Homeschool Network, Inc., m\u1ed9t t\u1ed5 ch\u1ee9c phi l\u1ee3i nhu\u1eadn v\u1ec1 gi\u00e1o d\u1ee5c t\u1ea1i nh\u00e0 nh\u1eb1m m\u1ee5c \u0111\u00edch l\u00e0m phong ph\u00fa, n\u00e2ng cao v\u00e0 trao quy\u1ec1n cho gi\u00e1o d\u1ee5c t\u1ea1i nh\u00e0 trong c\u1ed9ng \u0111\u1ed3ng (www.epichsn.org). Khi kh\u00f4ng l\u00e0m vi\u1ec7c, c\u00f4 th\u00edch vi\u1ebft blog t\u1ea1i http:\/\/www.nomommyleftbehind.com<\/a> N\u01a1i c\u00f4 chia s\u1ebb h\u00e0nh tr\u00ecnh c\u1ee7a m\u00ecnh v\u1edbi t\u01b0 c\u00e1ch l\u00e0 m\u1ed9t b\u00e0 m\u1eb9 b\u1eadn r\u1ed9n, v\u1eeba \u0111i l\u00e0m v\u1eeba d\u1ea1y con t\u1ea1i nh\u00e0. Andrea s\u1ebd l\u00e0 di\u1ec5n gi\u1ea3 t\u1ea1i H\u1ed9i ngh\u1ecb Thrive! n\u0103m 2021.<\/p>","protected":false},"author":15901,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","_monsterinsights_skip_tracking":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_hide_featured_image":false,"_jetpack_featured_image_duplicate_dismissed":0,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false,"_members_access_role":[],"_members_access_error":""},"categories":[105,149,151],"tags":[],"class_list":["post-22843","post","type-post","status-publish","format-standard","hentry","category-nche-blog","category-discipleship","category-math"],"acf":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pgvs5H-5Wr","jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/posts\/22843","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/users\/15901"}],"replies":[{"embeddable":true,"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/comments?post=22843"}],"version-history":[{"count":4,"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/posts\/22843\/revisions"}],"predecessor-version":[{"id":22850,"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/posts\/22843\/revisions\/22850"}],"wp:attachment":[{"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/media?parent=22843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/categories?post=22843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nche.com\/vi\/wp-json\/wp\/v2\/tags?post=22843"}],"curies":[{"name":"trang web","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}