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1b:T1821,こんにちは

僕自身は高1〜2のうちはなんとなく感覚で数学を解いており、範囲の狭い定期テストや基礎中心の間はなんとかなったのですが、高3になって演習や応用を始めてから、数学が周りよりできなくなってしまいました。

ですので、数学ができる人ではなくできない人からのアドバイスだと思ってください。

もちろん周りの数学のできる友人を見ていて気付いたこともお伝えしますが、数学できる人のアドバイスを求めていた場合はお役に立てないかもしれません。

申し訳ありません。


まず、数学のインプットの仕方ですが、これは質の高い例題を解いてその解説を読んだり受けたりして、さらにそれを復習して自分のものにするというのが良い形かなと思います。

質の高い例題というのは、参考書でも学校の授業でも塾などなんでも良いですが、各分野の典型的な問題をさしています。

これをまずは自力で解くのが大切です。

難しい問題は手も足も出ないかもしれませんが、自分の思考回路を知ることでインプットしやすくなると思います。

自分に何が足りないのか、逆にどこまでは理解しているのかをまずは知りましょう。

次に解説ですが、これに関しても参考書を読んでも他の人や先生にお願いしても良いですが、問題の解答ではなく、どういう思考でその解答に至ったかを特に見てください。

数学は暗記科目ではないと言われますが、ある程度定石があってそれを問題に当てはめ応用していくものなのかなと個人的には思っています。

その定石を解説を通じて自分でおさえてください。

僕は数学が苦手だったので定石を覚えてしまって、これは◯◯の問題だから◯通りの解法があって、今回はこれかな？というふうに解いていました。

もちろん、本来は例題の類題や同じ分野の問題をこなすことで定石を身につけると良いと思います。

高2のうちは特にいわゆる問題集をやったほうが良いです。

僕が数学が苦手だったのは高2までで全然問題集をやらず例題だけやっていたからでした。

例題と似た典型問題は解けるので、定期テストや簡単な模試は解けるのですが、高3になり実際の入試問題やちょっと捻った問題を解くとダメという感じでした。

そのため、高2のうちになるべく多く問題に触れておくと良いと思います。

高3になると余計に他の教科に力を入れなくてはいけなくなると思います。

そのためにもなるべく高2のうちに英数は完成させておきたいところです。

もちろん数学が苦手でしたら高3でもある程度力をいれる必要がありますが、たくさん問題を解けるのは高2までかなと思います。

少し話がそれましたが、問題集などの問題を解くときについて書きます。

問題を多くやる理由は見たことある問題を増やすという意味と定石をどう運用するかを身につけるという意味があります。

見たことある問題が増えれば、初見の問題に対してあの時の解法を試してみよう！と思える機会が増えるでしょう。

また、問題演習をこなす中でインプットした定石を自分のものにできると良いと思います。

次に、苦手意識に関して。

これについては成功体験を積むのが一番かなと思います。

といってもなかなか難しいですよね。

僕が問題演習をサボっていたのはどうせ解けないだろという気持ちがあったからでした。

でも今思えば、数学が苦手なのだから一周目でできるなんて思ったのがだめでした。

結局入試で解ければ良いのだから一周目で解けなくても、二周三周してでも自力で解き切れば良かったとお思います。

そうすれば自分の力にもなるし、何より解ける問題が多くなれば数学への苦手意識も改善したと思います。

中々すぐには数学への気持ちは変わらないと思いますが、好きこそものの上手なれ、ということでやっぱり数学を好きになるのが成績upの近道だと思います。

理科社会のように暗記した知識ベースではなく、定石という武器をどう使うのかという思考力が試される数学は、難しいですがそこが面白みなのではないでしょうか。(数学苦手だった僕がいうのも変ですが)

中々短期で成績upは難しいかもしれません。。

でもやっていけば必ず伸びる科目ではあります。

ぜひ腐らずに続けていってもらえたらと思います。

緊張で他の教科に影響してしまうことに関しては、もう少し自分に(というか数学に)甘くても良いかなと思います。

数学は苦手なんだからと割り切って、他の科目よりは緩いペースで実力をげていけば良いのではないでしょうか。

高3になってもそうだと思いますが、自分のたてた計画というのは中々完璧には遂行されないものです。

特に苦手科目は後回しにしたり、他教科よりも計画と違ったりすると思います。

もちろん自分を律するのも大切ですが、それで思い詰めてしまうのは他教科にとっても悪影響です。

数学に関してはある程度ゆるい計画を立て、むしろ息抜き的に他教科をやっても良いかもしれません。



めちゃくちゃ長文になってしまいましたが、参考になったら嬉しいです。

また分からないことや疑問点あれば気軽にコメント・質問してください。

では。

2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=leS37GcBTqPwDZPu5IM5","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学が得意になるには"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",22,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"12/27 7:52"}]]}],["$","div",null,{"className":"coach-mark 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"センスがある人になりたい"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"その気持ちはすごくわかります。僕も理系ですが、数学はあまり得意ではなく、周りのすごい子たちを見て落ち込んでいました。でも、僕は次のような戦略でいきました。\nまずは、オールラウンダー型を目指すこと。英語や理科など他の科目を強化してください。(この二科目は割とセンスなどが関係してこない気がします。)そして、数学は、センスのある周りの子達に対して、他の教科で逆転できるくらいの差で止まれるレベルには持っていくこと。このように、数学のセンスがなければないなりの戦略もあると思います。\nまた、数学のセンスを高めるに何をすれば良いのかについて話したいと思います。少し例え話をさせてもらうと、「数学の問題」という鍵を開けたい時、いかに多くの「解法」という鍵を持っているか、そしてその中のどの鍵を使えば良いのかをいかに早く見つけるか、これが数学のセンスだと思います。つまり、数学のセンスを上げるには、まず「解法」という鍵の数の多さを増やすことと、「どの鍵を持ってくるか」というのを思いつく訓練が必要だと思います。前者は演習をいかに積むかで得られます。\n後者の力は、いかに毎回毎回の演習で頭を捻っているかに依ると思います。演習中わからない問題に出会った時、どれくらい考えてから答えを見ていますか？もしそれが5分とかなら、せめて10分は考えましょう。どの解法を持ってくるのかの試行錯誤をしてください。また、どうしても分からなくて模範解答を見た時、どうやったらその方針で解くというのを思いつくのかに注目してください。ただ模範解答を見て納得、ではなく、どうやったら自力でこの方針が思いつけるようになるのか、そこも併せて考えていくことにしましょう。\nこんなことをしなくても簡単に初見の問題が解ける人はいます。そんなやつを見て、自分にはセンスがないことに気付き、やるせない気持ちに陥る経験は僕も沢山ありました。でも世の中は不平等だし、それはしょうがないことです。だからこそ、そのことを受け入れて、センスがないなりにそれを伸ばす訓練もしつつ、他の教科の底上げなどの戦略も考えて、合格までたどり着いてください。頑張れ！"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"勉強方法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"もともと数学は好きで得意だと思っていましたがある時スランプに陥ってなかなか成績が上がらなくなった時がありました。ある分野が全く出来なかったので、その時の勉強法を話したいと思います。\n\nまず、教科書をじっくりと読みました。簡単な例題も読んだあと自分で解きました。分からないところは友人や先生に何度も質問しました。ある程度基本的な事項が抑えられたと思ったら問題集の簡単な問題を完璧にして、少しずつ難しい問題に挑戦しました。でもここでも躓いてなかなか前に進むのに苦労しました…そんな時は間違えた要因を探しました。たとえばこの公式を正しく覚えられていなかったから出来なかった、この発想が出来なかった、などです。\n私は数学を本番で武器にしたかったので、徹底的にやりました。苦手な分野も典型的な問題は必ず出来るようにしました。\nある程度問題のパターンを暗記してしまうのもいいと思います。本番でぱっと思いつくためにはいろんな問題を解いてみていろんな発想を知ることが必要だと思います。頑張ってください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"苦手な教科の克服"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"数学は、演習量がそのまま点数に結びつきやすい教科だと思います。たとえば余弦定理だけを暗記していても問題は解けません。どういうときにどう使うか、問題演習の中で理解していかなければいけません。だからこそ、演習量が大切になってくると思います。\n\nまず、数学の勉強時間の確保をお願いします。学校の進度と同じペースで、サクシード/4ステップを解き進めるなどを心がけてください。その際、レベルAだけでも大丈夫です。授業で習ったことを自分でやってみる機会をとってほしいです。\n\nそして、できなかった問題は、なぜできなかったのか分析してみてください。単なる計算ミスなのか、公式が使えることに気づかなかったのか、問題文の読み替えができなかったのか… 私は解答に、ミスの分析と、ここまではできたという印を必ず残すようにしていました。これらは、質問するときにも役立ちますし、解き直したときにも役立つと思います。\n\n数学は、苦手意識があっても、演習量でカバーできる科目だと思います。ですので、基礎からコツコツと、継続して取り組んでいってほしいです。\n\n少しは参考になったでしょうか？\n勉強頑張ってください。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学を得意科目に"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして！\n\n解答を見ても解き方がわからない場合は、その問題が自分のレベルにあっていないのかもしれません。もう少しレベルを落として、自力では解けないけれど、解答を見たら理解できる問題(同じ分野のもの)に取り組んでみてください。\n\n\n様々な問題に対する向き合い方についてまとめてみました！\n\n1.解答を見ずに自力で解ける問題→既に身についているから何度も解く必要はない。\n\n2.自力では解けないけど解答を見たら理解できる問題→解答を見て理解した上ですぐにもう一度といてみる(解答を見ずに)。数日後、自力で解いてみる。これで解けたらもう身についています！解けなければ、もう一度解答を見て解く、数日後自力で、、、を繰り返す。\n\n3.解答を見ても理解できない問題→自分のレベルにあっていない可能性があるので、レベルを落とした問題に取り組んでみる。また、解答の中で分からない部分はどこなのかを明確にして、学校の先生や塾の先生に質問する。\n\n自分のレベルアップに大きく貢献するのは、2の問題です！この問題をきちんと自分のものにしたら、次のテスト等で出題されたら自力でとけるはずです！\n\nただ、やみくもに解答を丸暗記するのでは意味がありません。(似た問題への応用の幅が狭くなってしまいます！\n)\n\n解答を見て理解する際には、解答の中のポイントをしっかり掴むことが大切です。\n\n例えば絶対値と整数が等式で結ばれた方程式を解く際は、両辺を二乗して解きますね。この場合、「絶対値の計算では二乗する」ことがポイントです。\nもちろんひとつのことに対してポイントがひとつとは限りません(むしろ、たくさんポイントを持っているととても強いです！)。\n\nまた、人によってポイントと思う部分は違います。自分がポイントだと思ったところにに蛍光ペン等で線を引いて、そのポイントを覚えてください！\n\n数学は覚えるだけでなく、多様な問題を沢山解くことで徐々に力がついて行く科目です。勉強し始めてすぐには結果は出ないと思います。\n\nですが、あきらめず地道に頑張ってください！絶対にいつか結果になります！！\n\n\n時間は有限なので限りある時間を有効に使いましょう！\n\n応援しています。頑張ってください！！"}],["$","div",null,{"className":"flex 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