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height:44px; position:absolute; } #lp-pom-block-81 { display:block; background:rgba(255,255,255,1); -pie-background:rgba(255,255,255,1); border-style:none; margin-left:auto; margin-right:auto; margin-bottom:0px; behavior:url(/PIE.htc); border-radius:0px; width:100%; height:864px; position:relative; } #lp-pom-text-82 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:0px; top:4281px; z-index:60; width:442px; height:491px; position:absolute; } #lp-pom-box-86 { display:block; background:rgba(248,205,63,1); -pie-background:rgba(248,205,63,1); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:470px; top:4281px; z-index:71; width:510px; height:791px; position:absolute; } #lp-pom-text-87 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:29px; top:22px; z-index:75; width:453px; height:89px; position:absolute; } #lp-pom-image-113 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); left:1px; top:4781px; z-index:76; position:absolute; } #lp-pom-block-230 { display:block; background:rgba(51,155,211,1); -pie-background:rgba(51,155,211,1); border-style:none; margin-left:auto; margin-right:auto; margin-bottom:0px; behavior:url(/PIE.htc); border-radius:0px; width:100%; height:91px; position:relative; } #lp-pom-text-231 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:273px; top:5130px; z-index:91; width:433px; height:44px; position:absolute; } #lp-pom-block-227 { display:block; background:rgba(0,0,0,0.53); background-image:url(//d9hhrg4mnvzow.cloudfront.net/join.seriouslyaddictivemaths.com.sg/58c7acc7-sam2.jpg); background-attachment:fixed; background-repeat:no-repeat; background-position:center center; -webkit-background-size:cover; -moz-background-size:cover; -o-background-size:cover; background-size:cover; -ms-behavior:url(//d9hhrg4mnvzow.cloudfront.net/backgroundsize.min.htc); behavior:url(//d9hhrg4mnvzow.cloudfront.net/backgroundsize.min.htc); border-style:none; margin-left:auto; margin-right:auto; margin-bottom:0px; border-radius:0px; width:100%; height:962px; position:relative; } #lp-pom-box-232 { display:block; background:rgba(255,255,255,0.8); -pie-background:rgba(255,255,255,0.8); border-style:solid; border-width:1px; border-color:#ccc; behavior:url(/PIE.htc); border-radius:10px; left:0px; top:5233px; z-index:92; width:473px; height:396px; position:absolute; } #lp-pom-text-233 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:28px; top:28px; z-index:93; width:417px; height:339px; position:absolute; } #lp-pom-box-234 { display:block; background:rgba(255,255,255,0.8); -pie-background:rgba(255,255,255,0.8); border-style:solid; border-width:1px; border-color:#ccc; behavior:url(/PIE.htc); border-radius:10px; left:505px; top:5233px; z-index:94; width:473px; height:474px; position:absolute; } #lp-pom-text-235 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:28px; top:29px; z-index:95; width:417px; height:416px; position:absolute; } #lp-pom-box-238 { display:block; background:rgba(255,255,255,0.8); -pie-background:rgba(255,255,255,0.8); border-style:solid; border-width:1px; border-color:#ccc; behavior:url(/PIE.htc); border-radius:10px; left:505px; top:5736px; z-index:98; width:473px; height:271px; position:absolute; } #lp-pom-text-239 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:28px; top:26px; z-index:99; width:417px; height:221px; position:absolute; } #lp-pom-box-240 { display:block; background:rgba(255,255,255,0.8); -pie-background:rgba(255,255,255,0.8); border-style:solid; border-width:1px; border-color:#ccc; behavior:url(/PIE.htc); border-radius:10px; left:0px; top:5657px; z-index:96; width:473px; height:457px; position:absolute; } #lp-pom-text-241 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:28px; top:26px; z-index:97; width:417px; height:407px; position:absolute; } #lp-pom-block-186 { display:block; background:rgba(248,205,63,1); -pie-background:rgba(248,205,63,1); border-style:none; margin-left:auto; margin-right:auto; margin-bottom:0px; behavior:url(/PIE.htc); border-radius:0px; width:100%; height:84px; position:relative; } #lp-pom-text-187 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:162px; top:6178px; z-index:84; width:655px; height:44px; position:absolute; } #lp-pom-block-185 { display:block; background:rgba(255,255,255,1); -pie-background:rgba(255,255,255,1); border-style:none; margin-left:auto; margin-right:auto; margin-bottom:0px; behavior:url(/PIE.htc); border-radius:0px; width:100%; height:187px; position:relative; } #lp-pom-text-188 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:264px; top:6280px; z-index:85; width:452px; height:21px; position:absolute; } #lp-pom-button-189 { display:block; border-style:none; behavior:url(/PIE.htc); border-radius:18px; left:410px; top:6332px; z-index:90; width:160px; height:55px; position:absolute; background:rgba(51,155,211,1); -pie-background:rgba(51,155,211,1); box-shadow:none; text-shadow:none; color:#ffffff; border-width:undefinedpx; border-color:#undefined; font-size:18px; line-height:22px; font-weight:bold; font-family:Raleway; text-align:center; background-repeat:no-repeat; } #lp-pom-block-38 { display:block; background:rgba(60,60,60,1); -pie-background:rgba(60,60,60,1); border-style:none; margin-left:auto; margin-right:auto; margin-bottom:1px; behavior:url(/PIE.htc); border-radius:0px; width:100%; height:89px; position:relative; } #lp-pom-image-89 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); left:0px; top:6436px; z-index:61; position:absolute; } #lp-pom-text-93 { display:block; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); border-style:none; behavior:url(/PIE.htc); border-radius:0px; left:680px; top:6484px; z-index:64; width:300px; height:22px; position:absolute; } #lp-pom-button-85 { display:block; border-style:none; behavior:url(/PIE.htc); border-radius:5px; left:302px; top:595px; z-index:73; width:150px; height:42px; position:absolute; background:rgba(51,155,211,1); -pie-background:rgba(51,155,211,1); box-shadow:none; text-shadow:none; color:#ffffff; border-width:undefinedpx; border-color:#undefined; font-size:18px; line-height:22px; font-weight:bold; font-family:Raleway; text-align:center; background-repeat:no-repeat; } #lp-pom-root .lp-positioned-content { top:0px; width:980px; margin-left:-490px; } #lp-pom-block-10 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:572px; } #lp-pom-button-13:hover { background:rgba(229,187,0,1); -pie-background:rgba(229,187,0,1); box-shadow:none; color:#a10505; } #lp-pom-button-13:active { background:rgba(217,174,0,1); -pie-background:rgba(217,174,0,1); box-shadow:none; color:#a10505; } #lp-pom-button-13 .label { margin-top:-11px; } #lp-pom-block-158 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:91px; } #lp-pom-block-14 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:665px; } #lp-pom-block-24 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:91px; } #lp-pom-block-17 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:783px; } #lp-pom-block-190 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:878px; } #lp-pom-block-94 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:91px; } #lp-pom-block-19 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:295px; } #lp-pom-block-96 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:141px; } #lp-pom-block-98 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:891px; } #lp-pom-block-39 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:96px; } #lp-pom-block-26 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:429px; } #lp-pom-image-33 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:260px; height:265px; } #lp-pom-image-33 .lp-pom-image-container img { width:260px; height:265px; } #lp-pom-block-108 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:91px; } #lp-pom-block-44 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:848px; } #lp-pom-block-111 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:91px; } #lp-pom-block-81 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:864px; } #lp-pom-block-230 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:91px; } #lp-pom-block-227 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:962px; } #lp-pom-block-186 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:84px; } #lp-pom-block-185 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:187px; } #lp-pom-block-38 .lp-pom-block-content { margin-left:auto; margin-right:auto; width:980px; height:89px; } #lp-pom-image-43 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:304px; height:428px; } #lp-pom-image-43 .lp-pom-image-container img { width:304px; height:428px; } #lp-pom-image-49 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:60px; height:61px; } #lp-pom-image-49 .lp-pom-image-container img { width:60px; height:61px; } #lp-pom-image-52 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:60px; height:61px; } #lp-pom-image-52 .lp-pom-image-container img { width:60px; height:61px; } #lp-pom-image-56 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:60px; height:61px; } #lp-pom-image-56 .lp-pom-image-container img { width:60px; height:61px; } #lp-pom-image-59 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:60px; height:61px; } #lp-pom-image-59 .lp-pom-image-container img { width:60px; height:61px; } #lp-pom-image-71 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:60px; height:61px; } #lp-pom-image-71 .lp-pom-image-container img { width:60px; height:61px; } #lp-pom-image-77 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:60px; height:61px; } #lp-pom-image-77 .lp-pom-image-container img { width:60px; height:61px; } #lp-pom-image-80 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:60px; height:61px; } #lp-pom-image-80 .lp-pom-image-container img { width:60px; height:61px; } #lp-pom-button-85:hover { background:rgba(39,137,200,1); -pie-background:rgba(39,137,200,1); box-shadow:none; color:#ffffff; } #lp-pom-button-85:active { background:rgba(32,125,190,1); -pie-background:rgba(32,125,190,1); box-shadow:none; color:#ffffff; } #lp-pom-button-85 .label { margin-top:-11px; } #lp-pom-image-89 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:156px; height:67px; } #lp-pom-image-89 .lp-pom-image-container img { width:156px; height:67px; } #lp-pom-image-90 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:299px; height:452px; } #lp-pom-image-90 .lp-pom-image-container img { width:299px; height:452px; } #lp-pom-image-103 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:800px; height:444px; } #lp-pom-image-103 .lp-pom-image-container img { width:800px; height:444px; } #lp-pom-image-113 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:469px; height:320px; } #lp-pom-image-113 .lp-pom-image-container img { width:469px; height:320px; } #lp-pom-image-114 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:148px; width:146px; height:146px; } #lp-pom-image-114 .lp-pom-image-container img { width:146px; height:146px; } #lp-pom-image-118 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:148px; width:146px; height:146px; } #lp-pom-image-118 .lp-pom-image-container img { width:146px; height:146px; } #lp-pom-image-123 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:148px; width:146px; height:146px; } #lp-pom-image-123 .lp-pom-image-container img { width:146px; height:146px; } #lp-pom-image-149 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:464px; height:534px; } #lp-pom-image-149 .lp-pom-image-container img { width:464px; height:534px; } #lp-pom-image-154 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:218px; height:93px; } #lp-pom-image-154 .lp-pom-image-container img { width:218px; height:93px; } #lp-pom-image-180 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:148px; width:147px; height:146px; } #lp-pom-image-180 .lp-pom-image-container img { width:147px; height:146px; } #lp-pom-image-181 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:148px; width:147px; height:146px; } #lp-pom-image-181 .lp-pom-image-container img { width:147px; height:146px; } #lp-pom-image-182 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:148px; width:146px; height:146px; } #lp-pom-image-182 .lp-pom-image-container img { width:146px; height:146px; } #lp-pom-button-189:hover { background:rgba(39,137,200,1); -pie-background:rgba(39,137,200,1); box-shadow:none; color:#ffffff; } #lp-pom-button-189:active { background:rgba(32,125,190,1); -pie-background:rgba(32,125,190,1); box-shadow:none; color:#ffffff; } #lp-pom-button-189 .label { margin-top:-11px; } #lp-pom-image-250 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:50px; height:48px; } #lp-pom-image-250 .lp-pom-image-container img { width:50px; height:48px; } #lp-pom-image-251 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:51px; height:50px; } #lp-pom-image-251 .lp-pom-image-container img { width:51px; height:50px; } #lp-pom-image-252 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:50px; height:50px; } #lp-pom-image-252 .lp-pom-image-container img { width:50px; height:50px; } #lp-pom-image-253 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:52px; height:51px; } #lp-pom-image-253 .lp-pom-image-container img { width:52px; height:51px; } #lp-pom-image-254 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:50px; height:49px; } #lp-pom-image-254 .lp-pom-image-container img { width:50px; height:49px; } #lp-pom-image-255 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:50px; height:51px; } #lp-pom-image-255 .lp-pom-image-container img { width:50px; height:51px; } #lp-pom-image-273 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:50px; height:48px; } #lp-pom-image-273 .lp-pom-image-container img { width:50px; height:48px; } #lp-pom-image-274 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:51px; height:50px; } #lp-pom-image-274 .lp-pom-image-container img { width:51px; height:50px; } #lp-pom-image-275 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:50px; height:50px; } #lp-pom-image-275 .lp-pom-image-container img { width:50px; height:50px; } #lp-pom-image-276 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:52px; height:51px; } #lp-pom-image-276 .lp-pom-image-container img { width:52px; height:51px; } #lp-pom-image-277 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:50px; height:49px; } #lp-pom-image-277 .lp-pom-image-container img { width:50px; height:49px; } #lp-pom-image-278 .lp-pom-image-container { border-style:none; behavior:url(/PIE.htc); border-radius:0px; width:50px; height:51px; } #lp-pom-image-278 .lp-pom-image-container img { width:50px; height:51px; } #lp-pom-root-color-overlay { position:absolute; background:none; top:0; width:100%; height:6516px; min-height:100%; } #lp-pom-block-10-color-overlay { position:absolute; background:rgba(255,255,255,0); -pie-background:rgba(255,255,255,0); behavior:url(/PIE.htc); height:572px; width:100%; } #lp-pom-box-11-color-overlay { position:absolute; background:none; height:423px; width:591px; } #lp-pom-block-158-color-overlay { position:absolute; background:none; height:91px; width:100%; } #lp-pom-block-14-color-overlay { position:absolute; background:none; height:665px; width:100%; } #lp-pom-block-24-color-overlay { position:absolute; background:none; height:91px; width:100%; } #lp-pom-block-17-color-overlay { position:absolute; background:none; height:783px; width:100%; } #lp-pom-block-190-color-overlay { position:absolute; background:none; height:878px; width:100%; } #lp-pom-block-94-color-overlay { position:absolute; background:none; height:91px; width:100%; } #lp-pom-block-19-color-overlay { position:absolute; 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ทำไมเราถึงควรให้เด็กใช้นิ้วนับตอนเรียนคณิตศาสตร์

มีความเชื่อที่ว่า  "การนับนิ้วไม่ค่อยมีประโยชน์ ทำให้เด็กคิดช้าและดูไม่ค่อยเก่ง เด็กควรเลิกนับนิ้วให้เร็วที่สุดเท่าที่เป็นไปได้" . ซึ่งจากผลงานวิจัยพบว่าหากไม่ยอมให้เด็กได้ใช้นิ้วมือในการนับอาจตัดโอกาสการเรียนรู้ด้านตัวเลขและการคิดเป็นภาพ ซึ่งเป็นสิ่งสำคัญมากสำหรับการแก้ปัญหาทางคณิตศาสตร์ในระดับสูง  . จากการศึกษากับเด็กอายุ 8-13 ปี เมื่อได้ทำโจทย์การลบ ระบบการรับรู้จากส่วนนิ้วมือก็จะปรากฏขึ้นมาถึงแม้ว่าเด็กจะไม่ได้ยกนิ้วขึ้นมานับก็ตาม และพบว่าหากได้รับการฝึกฝนด้านการสัมฝัสรู้และใช้นิ้วมือได้ด้วยกันจะยิ่งช่วยให้ประสบความสำเร็จทางด้านคณิตศาสตร์ได้ดีขึ้น . ในวัยเด็กควรมีการเรียนรู้ที่เรียบง่ายไม่ซับซ้อนจะช่วยลดความสับสนทางความคิดในวัยเด็กซึ่งจะมีส่วนช่วยพัฒนาความคิดอย่างเป็นระบบมีตรรกะและเป็นลำดับขั้นตอนที่ดีในภายหน้า --------------------------------------------------------------------------------------------------------------------------------------------------- A few weeks ago I (Jo Boaler) was working in my Stanford office when the silence of the room was interrupted by a phone call. A mother called me to report that her 5-year-old daughter had come home from school crying because her teacher had not allowed her to count on her fingers. This is not an isolated event—schools across the country regularly ban finger use in classrooms or communicate to students that they are babyish. This is despite a compelling and rather surprising branch of neuroscience that shows the importance of an area of our brain that “sees” fingers, well beyond the time and age that people use their fingers to count. In a study published last year, the researchers Ilaria Berteletti and James R. Booth analyzed a specific region of our brain that is dedicated to the perception and representation of fingers known as the somatosensory finger area. Remarkably, brain researchers know that we “see” a representation of our fingers in our brains, even when we do not use fingers in a calculation. The researchers found that when 8-to-13-year-olds were given complex subtraction problems, the somatosensory finger area lit up, even though the students did not use their fingers. This finger-representation area was, according to their study, also engaged to a greater extent with more complex problems that involved higher numbers and more manipulation. Other researchers have found that the better students’ knowledge of their fingers was in the first grade, the higher they scored on number comparison and estimation in the second grade. Even university students’ finger perception predicted their calculation scores. (Researchers assess whether children have a good awareness of their fingers by touching the finger of a student—without the student seeing which finger is touched—and asking them to identify which finger it is.) Evidence from both behavioral and neuroscience studies shows that when people receive training on ways to perceive and represent their own fingers, they get better at doing so, which leads to higher mathematics achievement. The tasks we have developed for use in schools and homes (see below) are based on the training programs researchers use to improve finger-perception quality. Researchers found that when 6-year-olds improved the quality of their finger representation, they improved in arithmetic knowledge, particularly skills such as counting and number ordering. In fact, the quality of the 6-year-old’s finger representation was a better predictor of future performance on math tests than their scores on tests of cognitive processing. Many teachers have been led to believe that finger use is useless and something to be abandoned as quickly as possible. Neuroscientists often debate why finger knowledge predicts math achievement, but they clearly agree on one thing: That knowledge is critical. As Brian Butterworth, a leading researcher in this area, has written, if students aren’t learning about numbers through thinking about their fingers, numbers “will never have a normal representation in the brain.” One of the recommendations of the neuroscientists conducting these important studies is that schools focus on finger discrimination—not only on number counting via their fingers but also on helping students distinguish between those fingers. Still, schools typically pay little if any attention to finger discrimination, and to our knowledge, no published curriculum encourages this kind of mathematical work. Instead, thanks largely to school districts and the media, many teachers have been led to believe that finger use is useless and something to be abandoned as quickly as possible. Kumon, for example, an after-school tutoring program used by thousands of families in dozens of countries, tells parents that finger-counting is a “no no” and that those who see their children doing so should report them to the instructor.

กระบวนการแก้ปัญหาอย่างเป็นระบบ

โจทย์ปัญหาทางคณิตศาสตร์เป็นส่ิงที่เด็กหลายคนไม่ชอบเพราะส่วนใหญ่จะไม่พยายามอ่านเพื่อทำความเข้าใจโจทย์และไม่หาวิธีทำ ซึ่งในการฝึกการแก้ปัญหาให้เด็กนั้นควรเริ่มจากโจทย์ที่ง่าย ไม่ซับซ้อน อย่างค่อยเป็นค่อยไปซึ่งอาจจะเร่ิมจากโจทย์ปัญหาเพียง 1 ชั้น และพัฒนาโจทย์ที่ซับซ้อนขึ้นโดยนำคำตอบที่ได้มาหาคำนวณหาคำตอบอีกเป็น 2, 3 หรือ 4 ชั้น ซึ่งต้องมีวิธีการที่ดีและคำตอบที่ถูกต้องจึงจะสามารถการแก้โจทย์ปัญหาได้ *** Method + Answer = Solution *** เราะแก้โจทย์ปัญหาได้อย่างไร? 4 ขั้นตอนซึ่งจะสามารถช่วยเด็กให้พัฒนาและวางแผนสำหรับการแก้ปัญหาได้ 4 ขั้นตอนที่ต้องทำเมื่อเจอโจทย์ปัญหาด้วยเทคนิคของ Polya (Polya's problem solving techniques, 1945) ------------------------------------------------------------------------ ** ➊ : ทำความเข้าใจโจทย์ (Understand the problems)** สำหรับโจทย์ปัญหาการอ่านเพียงรอบเดียวนั้นคงไม่พอ โดยในรอบแรกเราต้องอ่านเพื่อทำความเข้าใจกับโจทย์ และจากนั้นในการอ่านครั้งที่ 2 และ 3 ควรตั้งคำถามกับตัวเองเช่น - สิ่งที่เรารู้และไม่รู้ - สิ่งที่เราต้องหาคำตอบ - ข้อมูลที่มีให้มานั้นเพียงพอแล้วรึยัง สร้างนิสัยในการขีดเส้นใต้เพื่อเน้นคำและมั่นใจว่าเราได้เข้าใจโจทย์และสิ่งที่โจทย์ต้องการถามได้เป็นอย่างดี ก่อนที่จะข้ามไปในขั้นตอนถัดไป ** ➋ : วางแผนเลือกวิธีแก้ปัญหา (Devise a plan)** เมื่อเราเข้าใจโจทย์แล้วเราจำเป็นต้องคิดหาวิธีในการแก้ไขปัญหา ซึ่งอาจมาจากวิธี - การสุ่มและเช็คคำตอบ (Guess and Check) - การเขียนคำตอบที่เป็นไปได้ (Making a systematic list) - การวาดรูป (Draw a picture) - การหารูปแบบที่มีความสัมพันธ์กัน (Look a pattern) - การใช้แบบโมเดลเพื่อหาคำตอบ (Use a model) - การหาคำตอบแบบคิดย้อนกลับ (Working backwards) - การหาคำตอบด้วยวิธีอื่นๆ ** ➌ : แก้ไขปัญหา (Carry it out)** ในขั้นตอนนี้จะเริ่มลงมือแก้ไขปัญหาด้วยวิธีที่เราได้เลือกจากมาจากขั้นตอนที่ 2 ซึ่งต้องทำด้วยความระมัดระวังและมั่นใจว่าตัวเลขที่นำมาใช้ถูกต้อง ควรที่จะทำตามวิธีที่เราได้เลือกมาก่อนหน้านี้ ซึ่งถ้าได้ลองทำแล้วยังหาคำตอบไม่ได้ ให้พยายามเลือกวิธีอื่นแทนโดยอย่ายึดติดกับวิธีใดวิธีหนึ่งสำหรับการแก้ไขปัญหา ** ➍ : เช็คคำตอบ/ทบทวนให้รอบคอบ (Check/Reflect)** หลังจากที่ได้คำตอบแล้วให้เช็คคำตอบอย่างรอบคอบจะช่วยให้เราได้มีโอกาสได้ทบทวนกับสิ่งที่เราได้ทำไป และควรสร้างนิสัยให้มีการตรวจเช็คอยู่เสมอว่าคำตอบที่ได้ว่าสมเหตุสมผลรึปล่าว ซึ่งจะช่วยให้เราได้พัฒนาการเรียนรู้และสามารถเลือกใช้วิธีที่เหมาะสมในครั้งหน้าได้ http://www.singaporemathsthailand.com/ สาขาใกล้บ้าน :http://singaporemathsthailand.com/Contact.php#branch Line ID: Singaporemaths

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